diff --git "a/data/dm_maths/full_data_1/1872_11255.jsonl" "b/data/dm_maths/full_data_1/1872_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1872_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -3*g + 41*o + 188831 = 43*o, -4*o = -3*g + 188825. What is the ten thousands digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**3 - u**2 - 2*u - 1. Let x be n(-1). Suppose -3*a + 145 = -4*j, -x*a + 57 + 86 = -2*j. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 90. Let k = -41.99999928 - q. What is k rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3015, -3016, -3017, -3018, -3019?\n\"Answer: -w - 3014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*p - 4\/19*p**3 + 0 + 14\/19*p**4 + 8\/19*p**5 + 0*p**2 = 0. What is p?\nAnswer: -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 + 608*v\/5.\nAnswer: -2*v*(v - 304)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -107*c**2. Let z(l) = -7*l. What is z(v(j))?\nAnswer: 749*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -866.031 and -18.3?\nAnswer: 15848.3673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*a = -4*r - 908, 4*a + 399 = -3*r + 363 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/5001224 and -113\/40?\nAnswer: 25006120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8425*c + 951 = -8536*c + 3393 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*n - 4 - 2 + 6.\nAnswer: 153*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g. Let h(x) be the first derivative of -6907*x**3\/3 - 875. Give h(u(c)).\nAnswer: -27628*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -23. Let z(g) = -7*g - 20. Let r(p) = 3*p + 10. Let f(d) = 5*r(d) + 2*z(d). List the prime factors of f(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**5 + 3*t**5 - t**5)*((1 + 0 - 3)*(1 - 2 - 1)*(37950 - 75922 + 40310) + 2 - 1 - 2).\nAnswer: -18702*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 2, 4, -2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 3*s - 17, 376*r + 22 = -2*s + 380*r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*2 - 9\/((-468)\/112). Suppose 0 + w*z + 2\/13*z**2 = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 12\/2456681?\nAnswer: 12\/2456681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2510685 is divided by 96561.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 5*h**2 + 14*h. Let p be o(-7). Put -5, 1, p, 5 in ascending order.\nAnswer: -5, p, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwpwppppppppppppwpww. What is prob of sequence pwpw?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.097? (a) 4\/3 (b) 4 (c) -0.02918\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - sqrt(275)*3) + 3 + sqrt(275) + (1 + sqrt(275))*-3 + 4 + 4)**2.\nAnswer: -320*sqrt(11) + 4464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 divided by 10546?\nAnswer: -123\/10546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from {z: 7, m: 4, t: 8, v: 1}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**2 - 11*t + 1. Let s be u(-10). Let p = 4 + s. Calculate the greatest common factor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(-56) - -758*3\/(-21). Let p = 118 + v. Solve 4*m = -3*l - 15, -3*l - p = 3*m - 2*l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 2*s**3\/3 + 1. Let b(l) be the third derivative of 0 - 1\/12*l**4 + 0*l - 2*l**2 + 0*l**3. Calculate b(x(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 23 + 7*z**2 + 8.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 8*u - 132. Which is bigger: 34 or u?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*n + 232 = 13*n - 257. Put 213, n, 0.1, 0.2 in ascending order.\nAnswer: n, 0.1, 0.2, 213","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a gram in milligrams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 0*g + 5 - g + 0*g. Suppose 568 = -8*m + 520. Give p(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 2 + -25 + (11 - -1) + -23.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12897136 to the power of 1\/2, to the nearest integer?\nAnswer: 3591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -266 + 54*d**3 + 0*d**2 + 0*d**4 - 76\/5*d**5 + 0*d. Find the third derivative of f(q) wrt q.\nAnswer: -1824*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 688 = -4*q, 4*q - 688 = 2*u - u. What is the highest common factor of 258 and q?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5*sqrt(112)*5)**2*-1.\nAnswer: -70009 - 600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 143 - 143. What is the nearest to -1 in -21, -2\/7, w, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q + 17. Let b be y(-5). Let d = b + 69. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(2*(-6)\/48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 11:02 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**5\/20 - 3*x**4 + 143*x**3\/3 + 24*x**2 - 576*x - 10712. Factor f(t).\nAnswer: (t - 24)**2*(t - 2)*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6494?\nAnswer: 2, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8aa - 4871a?\nAnswer: -491c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 1. Let j be r(-1). Let c be j - 1*(2 - -1). Let s be 16*c\/(-21) + -2. Which is smaller: s or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v. Let p(l) be the second derivative of -l**5\/20 + l**4\/3 - l**3\/2 + l**2\/2 - 3*l. Let d be p(3). Give t(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 1 + a**3 - 14*a + 18*a - a**4 to v*a**3 + i + t*a + d*a**4 + u*a**2 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -653*t**5\/20 - t**3\/6 + 164*t**2 + 152*t. Find the second derivative of i(k) wrt k.\nAnswer: -3918*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222000012211 + -11?\nAnswer: 222000012200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -6*q**3 - 13*q**2 - 15*q - 1. Let v(c) = -c**3 - c**2 - 3*c + 2. Give -5*v(r) + x(r).\nAnswer: -r**3 - 8*r**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -49*d**3 + 45*d**2 + 203*d + 5. Is g(-5) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110000000011000001 (base 2) to base 12.\nAnswer: 95a81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -4)*29\/(-2). Let t = 44 + n. Let v = -25 + 70. Calculate the highest common divisor of v and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = o + 9, 47*o + c + 12 = 45*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1873977.\nAnswer: 3, 7, 89237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i - 14. Let t be b(6). Let j(s) = 3 + 9*s**2 + 55*s**2 - 65*s**2 + 10*s. Give j(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 10 = -11*o + 3*t, -46*o + t = -45*o - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - -14204323032?\nAnswer: 14204323013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 27, 173, 38?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -2*j, 5*j - 33 = 5*y - y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 988*i**2 + 0*i**3 + 1014*i**2 - 2021*i**2 + i**3 in the form y*i**3 + u*i + p*i**2 + s and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 7*o = 80. Suppose -1 = 3*u - o. Suppose u*z = z + 28. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**3 + 9*o**2 - 2. Let s = 77 + -86. Let p(n) = -n**3 + 4*n**2 - 1. Give s*p(w) + 4*r(w).\nAnswer: -3*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 170 and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(4 - 6 - 1)*(2 - 4 + 0)*(0*w + 3*w - 4*w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 13*h**2 - 36*h + 5. Let c(r) = 10*r**2 - 34*r + 4. What is -4*c(f) + 3*u(f)?\nAnswer: -f**2 + 28*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) 0.06 (b) 0.1 (c) -74 (d) 12 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(((j*j**(-1)*j)\/j)\/j))**(2\/3)\/(j**(-8)\/(j*j\/j**(2\/9))))\/((j\/j**(1\/7)*j)\/(j*j*(j*j\/(j*j**5))\/j))**(-46) assuming j is positive.\nAnswer: j**(14776\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, f: 4, h: 2, l: 4}. Give prob of picking 2 l, 1 p, and 1 h.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 97800185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31784, -63554, -95324?\nAnswer: -127094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.85 and 2856.\nAnswer: 5283.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9006 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 8) + (-44 - (43 - 124))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 6*k**2 - 7*k - 5. Let w be i(-5). Suppose 19 = -w*p + 4. Let g = p + 4. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -u + 6*u + 20, 5*o - 4*u - 33 = 0. Let w(b) be the first derivative of 9*b**2 - 12*b + 2. List the prime factors of w(o).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y + 2*y - 33. Let q(o) be the first derivative of 3 - 3\/4*o**4 + 3\/2*o**2 + y*o - o**3. Factor q(f).\nAnswer: -3*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1400 is divided by 236?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 7*t + 2. Let r(h) = 3*h**3 + h**2 + 15*h + 5. Let y(a) = 5*c(a) - 2*r(a). Let o be y(-4). What is the highest common factor of 96 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 561 and 357.\nAnswer: 3927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111451809?\nAnswer: 3, 7, 5307229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -408.2272*0.4.\nAnswer: -163.29088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002036 rounded to four dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3*-1)\/((-3)\/(-135)*-1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.55 - 11.35. Let y = 4 + -19. Which is the smallest value? (a) v (b) 2 (c) y (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2020, 943, -812, -3245, -6356, -10145, -14612?\nAnswer: -19757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-30))\/(1*((-1)\/4)\/(-1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 0 - ((4 - 8) + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-0.09.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/90 - ((-4452)\/795)\/((-79)\/(-6)).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8868551402 and 14834?\nAnswer: 14834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133.151 rounded to the nearest ten?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1829 - 3.9019. What is z rounded to one dp?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149293198 is divided by 140.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -363*v**3 + 6*v + 364*v**3 - 6*v**2 + 13*v**2 + 7. Calculate the lowest common multiple of 19 and n(-6).\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -265223, -265226, -265229, -265232, -265235?\n\"Answer: -3*v - 265220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -13 + 11 + (2 - -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1399, 1402, 1381, 1330, 1243, 1114, 937, 706?\n\"Answer: -q**3 - 6*q**2 + 28*q + 1378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/7 - 22*y.\nAnswer: -2*y*(y + 77)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 987 less than -6888049?\nAnswer: -6889036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -21.9.\nAnswer: -153.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/20 + -11*(-27916)\/(-6160).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-47100)\/(-90)*(2 + 16) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 708 is divided by 80?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 - 97?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 728.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, 1, -1 in descending order.\nAnswer: 1, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8687 + -8682. Put -2\/13, 8, q, 12\/11, 0.4 in descending order.\nAnswer: 8, q, 12\/11, 0.4, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5859592, 5859590, 5859588?\nAnswer: 5859586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 180058060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/17 (b) -0.3 (c) 0.39 (d) 6\/83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -4*u - 149, -4*u + 90 = 6*l + 179 + 57 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1434 - -1450. Let t(s) = s**2 + s + 2. Let z be t(0). Suppose 2*n - z*l = -m, 0 = 4*n + l + 2*l - 3. Put 37, n, 3, 1 in ascending order.\nAnswer: n, 1, 3, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2325499179 to the nearest integer?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 682783901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 - -5 - (-1 - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 272, 509, 738, 959, 1172, 1377, 1574?\nAnswer: 1763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -17*y**9\/504 + y**5\/4 + 14*y**2. What is the third derivative of q(f) wrt f?\nAnswer: -2040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 4*d + 15. Is o(-7) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 887815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3750, 7487, 11208, 14913, 18602, 22275?\n\"Answer: -8*b**2 + 3761*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(2) + 0)*4 + 4)**2 + -3.\nAnswer: 40*sqrt(2) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*x + 6. Suppose 0 = 3*w - 4*p - 51, -2*w = 3*w + x*p - 114. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 bigger than -889\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of i**2\/2 + 3*i + 6. Determine u(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 6:35 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13435 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9129\/(-85) + (-9 + 8)*-1*(-60)\/100.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 3\/(-6))*-4. Suppose -w - m*w + 21 = 0. Calculate the smallest common multiple of w and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 3 (b) 5\/4 (c) -1.915 (d) -2 (e) 5 (f) 2\/3 (g) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4163 divided by 12\nAnswer: -4163\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 o when two letters picked without replacement from {e: 9, h: 1, x: 1, o: 7}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6*r - 34. Let g be u(-10). Solve -v + 14 = -4*i, 4*i + g = -4*v - v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0 (b) 0.1 (c) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24 + 2*t**4 + 69 - 7*t**4 wrt t?\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -504161.788 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 152 = -5*p - 93, 2*t = -5*p - 95. Calculate the remainder when (-5)\/t + (-398)\/(-20) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22176)\/2129344 - 2\/196\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2 - g**2 + 1 + g - 2*g**3 - 4*g**2 + 3*g**2. Let u be i(-1). Let m = u + 10. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 55 + 52 = 0, -5*d = b + 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*x + 5*x - 104. Let n = 12 - x. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489*f**3 - 260*f**3 - 235*f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*f - 14*f + 15*f + (-26 - 167 - 192)*(-f + 3 - 3).\nAnswer: 370*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2. Let j(a) be the first derivative of -a**4\/6 + 4*a**2 - 13. Let z(g) be the second derivative of j(g). What is y(z(v))?\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 4*g**2 + 3*g + 3. Let v = 5 + -15. Let r = v + 6. Give f(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -5. Let v be (-2 - -2) + y - -7. Solve 3*u - u = -v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*r - 5. Is 12 a factor of (r - -2)*(3 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3166*h - 336797 = 21120*h - 1880841 for h.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -567647 + -860545. Let t = z + 403192. What is t rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 23*a**2 - 49*a + 24. Calculate t(-25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -93112.54 and -0.1583499?\nAnswer: 93112.3816501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2. Let i be l(3). Suppose -4*r + i*r - 100 = 0. Suppose 3*w - 5*c - 66 = 0, w - 22 = -2*c - 3*c. What is the smallest common multiple of w and r?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 6 - 2. Let t = -18 + 13. Which is the closest to h? (a) t (b) 0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*g + 37*g + 27*g + 30*g + 39*g + 88*g.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 74852 and 18713?\nAnswer: 74852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17922*j**2*t**2 + 81*j**2*t + 125*t wrt t?\nAnswer: 35844*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, w: 3}. What is prob of sequence bb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 6 - 10 + 10*y**2 + 5*y**2.\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = -373789*i + 373805*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4209042491?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 9*h**2 - 12*h + 116. Let m be t(9). Calculate the greatest common factor of 556 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -57 or 17\/132?\nAnswer: 17\/132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*l - 5, 5*l = 4*l - 1. Is 0 + 194 + (y - (-12)\/3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -49*i**4 + 5*i**3 - 3*i - 5. Let w(t) = 73*t**4 - 7*t**3 + 4*t + 7. Let r(u) = 7*l(u) + 5*w(u). What is the second derivative of r(g) wrt g?\nAnswer: 264*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 11:04 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgy when three letters picked without replacement from qwyqlywgh.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2040*n = -1474*n - 16414 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 512 and 10.\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -398 - -3586\/9. What is the nearest to -1 in d, 0.1, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, s: 5, v: 2, e: 2, d: 2, w: 1}. What is prob of sequence wnev?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123847971 is divided by 363?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -27737455809 - 3\nAnswer: -27737455812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -14, -2, -12 in increasing order.\nAnswer: -14, -12, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s - 10 = 0, 2*f + 1146 = -4*s + 1140 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 332151 != 332150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1708 is divided by 101.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.765295 months to decades.\nAnswer: 0.198044125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. Suppose r = s - d - d - 13, -6 = 3*s + 3*d. Determine g, given that -5 - 2*g**2 + 0*g**2 - 8*g - s = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 a when four letters picked without replacement from zzzzzzhzzzzzzahzhzza?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 659 + -4588\/7. Let u be 1106\/825 + 6\/(-2). Let f = u + -2\/275. Calculate the common denominator of f and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2965999 - 0.\nAnswer: 2965999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -480.5047 to zero dps.\nAnswer: -481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41161 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**3\/3 - 81*v**2 + 6187*v. Let z(l) = 17*l**2. Calculate z(r(s)).\nAnswer: 68*s**2 + 11016*s + 446148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 229566 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -287 and 637.\nAnswer: -182819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-53424)*6*12\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-12*11\/(-176))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6557 times 0.189\nAnswer: -1239.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + -3 + -1 + 64\/2. Is (s\/(-12) + 2)*(-2874)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15124, 15140, 15156, 15172?\n\"Answer: 16*h + 15108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 19*j + 6. Let p be b(3). Let v = p + -40. What is the greatest common factor of 138 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, 4, 2\/7, -12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 15 = 3*f. Suppose 4*p - 2*y - 8 = p, -2*p - 12 = f*y. Solve p*n - 3*n + 15 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kev when three letters picked without replacement from eveeeeekekvvvkffee.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k = 0. Suppose 0 = -a - 1 + 3. Is a\/(-2) - (k + -12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + t + 1. Suppose -19*q - 2 = 2*b - 15*q, -12 = 3*b - 3*q. Let h(p) = 2*p**2 + 6*p - 1. Let m be h(b). Calculate f(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 5*t**2 - 4*t. Let l be b(-3). Let k(j) = j + 2. Let a be k(4). Let q(g) = 9 + g**3 - a*g**2 + 242*g - 238*g - 2*g**3. Give q(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (13 + -13 + -4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -76653 (base 9) to base 6\nAnswer: -1031203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -642? (a) 0.4 (b) -2\/29 (c) -0.14 (d) 1 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2520 is divided by 1255?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4259*p**3 + 8472*p**3 - 4119*p**3.\nAnswer: 94*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94305, 94251, 94197, 94143?\nAnswer: 94089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 208*u**3 - 76289672*u**2 + 38144797*u - 4768098 = 0. What is u?\nAnswer: 1\/4, 4768098\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 20 = -13*i. Suppose -2*r - 3*r + x + 508 = 0, 516 = i*r + 3*x. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 98, 243, 446, 707?\nAnswer: 1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*h**3 - 8*h**2 + 382*h wrt h?\nAnswer: 144*h - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3299953 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brrrrtgrt. What is prob of picking 1 b and 1 t?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87977 divided by -2370.\nAnswer: 87977\/2370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8323832 to the power of 1\/2, to the nearest integer?\nAnswer: 2885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**5\/5 - 625*y**4 - 1828848*y**3\/5 - 48570904*y**2 + 993464176*y\/5 - 200165904 = 0.\nAnswer: -262, 2, 3645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2516096429 rounded to 3 dps?\nAnswer: -0.252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67465674, 67465677, 67465682, 67465689, 67465698, 67465709, 67465722?\nAnswer: 67465737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sesaeasysyeyyys?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13182 = 3*t - f - 1148, -5*f + 19113 = 4*t. Let c = t + -3407. What is c rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -76*j**2 + 26*j**2 + 27*j**2 + 27*j**2. Let v(q) = q. Suppose 16*d - 8*d = -8. Give d*s(k) - 2*v(k).\nAnswer: -4*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*w**4 - 5*w + 5.\nAnswer: -276*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 19*b**6\/720 + b**5\/24 + b**4\/4 + 2*b**2. Let z(l) be the second derivative of q(l). Is z(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - o = -11 - 6, r - 3*o = -3. Let p be 2 - (-3 - -14)*-1. Suppose 0 = 3*q - p + 4. Calculate the smallest common multiple of q and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 153 and 85?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 2*a + 18, 171*p + 4*a + 36 = 174*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11228, -11211, -11186, -11153, -11112?\nAnswer: -11063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64 + 47 + 90)*(2*l - 2*l + 2*l)*(3 - 1 + 8).\nAnswer: 4020*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1471645 or -11773159\/8?\nAnswer: -1471645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 - -29)*(25\/(-790) - 0). Which is greater: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(72)*1 - (sqrt(72)*1 + 1 - sqrt(72))) + 4 + sqrt(72)*-2 + -1 + sqrt(72) + 0)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 13*m**2. Let b(x) = -5*x + 6. Let k(i) = i - 1. Suppose 5*t - w - 3 = 0, -3*w + 15 = 5*t + 2*w. Let l(v) = t*b(v) + 6*k(v). What is l(r(z))?\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -36*s**2. Let j(f) be the third derivative of -3*f**4\/8 - 484*f**2. What is j(r(l))?\nAnswer: 324*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*w**3*z**2 + 13847*w**3 - w**2*z**2 - z**2 with respect to z.\nAnswer: -22*w**3*z - 2*w**2*z - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m - 1183 + 508*m**3 - 1204 + 2385.\nAnswer: 508*m**3 + 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1284 - 1320) + -2 + (1 - -2) + -5\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 10*k**2 + 10*k + 1. Let v be l(-3). Calculate the greatest common divisor of 17 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.82976 times -0.1?\nAnswer: -0.182976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 2*f**2 - 136*f - 24. Determine c(-10).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (172*g**2 + 147*g - 147*g)*(2*g - 5*g + 4*g)*(-g + 0*g - g).\nAnswer: -344*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2466 - 24*p**3 + 2466 + 29*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3) - (-46)\/6. Let v = f + -3. Let j(p) = -3*p + 55. Let o be j(18). Put 6, o, v in ascending order.\nAnswer: o, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002626377 to four decimal places.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6208 is divided by 520?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -267780\/7 equal to -38255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-140)\/8))\/(2\/6).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(70) + -2*sqrt(70)*1 - (sqrt(70) + 2*sqrt(70)*1)))\/(sqrt(70)\/(-1*sqrt(28) + sqrt(7))*-4))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.393437 meters?\nAnswer: 439.3437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 2, 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2045540, 31, 0.5 in decreasing order.\nAnswer: 2045540, 31, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1928*a = 394*a - 4602 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z + 19*z = b - 8734, 2*b + 2*z - 17482 = 0. What is the thousands digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 - 2*w**2 + 4*w**2)*(-53*w + 255*w + 296*w).\nAnswer: -498*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 131*a**3 - 2*a**2. Let h be r(1). Suppose h*c - 107*c + 176 = 0. Put -4, 4, 0, c in descending order.\nAnswer: 4, 0, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 53. Let z = m + -28. Let n = z + 0.9. What is the third biggest value in -0.1, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/4*g**2 - 15\/4*g**3 + 3\/4*g**4 + 0 + 27\/4*g.\nAnswer: 3*g*(g - 3)**2*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1026014, -1026008, -1026002, -1025996?\n\"Answer: 6*u - 1026020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - a = 540, -6*f + 7*f = 15*a + 34. Suppose 3*y + c = 332, 0*c - 570 = -5*y - 5*c. Is f smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6}. What is prob of sequence kkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -158*x**3 - x**2 - 2*x - 5. What are the prime factors of h(-2)?\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20350 equal to 183160\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + (sqrt(1584) - (-3*(0 + sqrt(1584)) - sqrt(1584)))**2)*4*3.\nAnswer: 475128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1)**(-49)*((p*p**6*p*p*p)\/p*p*p)\/(p\/(p**(1\/11)*p)))**25 assuming p is positive.\nAnswer: p**(-10425\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**4\/72 - 341*p**3\/36 + 343*p**2\/6 - 3059*p. Solve h(d) = 0 for d.\nAnswer: -343, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 35*f + 10. Let d(u) = 17*u + 5. Let y(n) = -13*d(n) + 6*j(n). Let p(w) = -27*w - 12. What is 5*p(v) - 12*y(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-168)\/8*3*(-25)\/(-450)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2831 - 6765 + 4*o**2 + 2*o + 14395 - 2*o**2.\nAnswer: 2*o**2 + 2*o + 4799","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22879037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3510009?\nAnswer: 3, 390001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f - 226 = -135 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 8*y - 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -10. Let k be -7 - -1*(n + 6). Let s(d) = d**3 + 4*d**2 + 2*d + 5. What is s(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 382 + -382. Suppose c - 4*c - x = 27, 2*c - 3*x + 7 = 0. Let j = 10 + c. Solve f + 1 + j = w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 6 - 3, 5*g = t + 3239. Is 27 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473 = 570*o - 613*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.4, -0.01, 0?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 3*l**2 - l - 3. Let j be k(-3). Suppose -n - 19 = -4*f, -3*f - 2*f = -5*n - 35. What is the nearest to j in -4, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -86b?\nAnswer: -867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2 - 5*s**2 + s + s**2 + 2*s**2 + 3*s**2. Let k be w(2). Suppose -5*m + k*m = -53. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = o - 0. Suppose o*b - 3*y = 12, -2*y = 3*b - 6*y - 5. Suppose 12*f + 6*f = 0. Sort f, b, -3.\nAnswer: -3, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2700456.\nAnswer: 2, 3, 11, 53, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 124*x**2 + x - 15. Suppose -5*k + 6 = -49. Let l be f(k). What is l rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -94*f + 8377. Give h(88).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**4\/9 - 322*l**3\/9 + 15478*l**2\/9 - 191558*l\/9 = 0.\nAnswer: 0, 19, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 4*d - d)*(-2*d - 2*d + 3*d + (-2*d + 3 - 3)*(2 - 2 + 1)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546675.\nAnswer: 3, 5, 37, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-27))\/(10\/4).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 - 6*x**2 - 3 + 3*x**2 + 25*x**3.\nAnswer: 25*x**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 8. Let f = 18 - 20. Let i be s\/4*(f + 1). Solve 2*u + 27 = 5*x, i = -4*u + 3*u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/9))**(23\/4))**(-8) assuming x is positive.\nAnswer: x**(-506\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -242758*p. Let c(s) = s. Calculate c(k(u)).\nAnswer: -242758*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-344)*-4)\/2. Let z = -91\/215 + d. What is the third biggest value in 1, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1749131172?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17247 divided by 467?\nAnswer: -17247\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2 + 3955132*b - 1955383642178 = 0.\nAnswer: 988783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -7. Let y = 1 + w. Sort 1, 5, y.\nAnswer: 1, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -10*a - 2*w - 53, 0 = 3*a + 3*w + 30. Let d(p) be the first derivative of -p**4\/2 - 11*p**3\/3 + 7*p**2 + 12*p - 1. Is d(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7*b - 9. Let a(r) = 3*r - 4. Let t = 15 - 19. Give t*s(g) + 9*a(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 11*k - 29. Calculate j(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -215\/232 - -16\/29. Let v be ((-2 - -3)\/2)\/(-1). Which is the nearest to -2? (a) j (b) -0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 94210.\nAnswer: 1\/94210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -3. Let t(g) = -g**2 - 14*g**3 - 3704*g + 3704*g. What are the prime factors of t(y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*s - 5*s - 12. Suppose -2*t + 2 = 4*j, 4*j + 2 + 1 = -3*t. Sort -1, s, t in descending order.\nAnswer: s, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.04 - -0.04. Let f = -4 + 2. Let l = f - d. Which is the third biggest value? (a) -4 (b) l (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2447*i - 24403 = 31432 + 10434 + 7141 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 10:54 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.4 + 4.4. Is -23\/4 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1 + 8*n + 5*n - 14*n. Let b be p(-3). Suppose 0 = -5*w - 4*l + 2946, 0 = -3*w + b*w - 4*l + 602. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 14*a**2 + 102*a + 18. What is o(8)?\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.2 + 13.2. Let d = 12 + -11.54. Let t = -0.04 - d. What is the biggest value in t, -0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, l: 1, g: 7, j: 7}. Give prob of picking 2 m and 1 g.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 14*u**2 - 46*u + 57. Calculate the smallest common multiple of 480 and d(9).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41254 + -13004?\nAnswer: -54302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 32214, 64250, 96118, 127818, 159350?\n\"Answer: -84*y**2 + 32288*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 16) in base 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1211, 1213, 1215, 1217, 1219, 1221?\n\"Answer: 2*z + 1209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 774661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 5*w**2 - 4*w**2 - 12*w + 4 + 4*w. Does 91 divide i(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.99 and 0.1.\nAnswer: 0.499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 24\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1523, 2\/5, 0.1, -2, -0.3?\nAnswer: -1523","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6804*q**3 + 3464*q**3 + 3440*q**3.\nAnswer: 100*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4285 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*-1*sqrt(1152) - sqrt(1152) - ((sqrt(1152) - sqrt(1152)*-3) + -4)**2) + -2.\nAnswer: -18448 + 768*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59971 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 268259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3286.704ug in nanograms?\nAnswer: 3286704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-1 + (3 - 1)). Suppose 0 = -11589*r + 11544*r + 219600000. Suppose g = 95*p - 97*p - r. What is p rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1322749*-3\nAnswer: 3968247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 924?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 326709793, 326709791, 326709789, 326709787, 326709785?\n\"Answer: -2*c + 326709795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 527862 to the power of 1\/2, to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 3*s + 4. Let b be t(-4). Suppose -4*k + 8*k - 120 = b. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -12*k**3 + 54*k**2 - 102*k + 27. Let z(g) = 13*g**3 - 53*g**2 + 103*g - 27. Suppose -3*m - 4*m = -21. Let r(v) = m*z(v) + 4*s(v). Factor r(d).\nAnswer: -3*(d - 3)**2*(3*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 7 = 4*d, -52*v + 47*v = -d + 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 410, -31, 41, -3 in ascending order.\nAnswer: -31, -3, 5, 41, 410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 74992 and 74992 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 3*a + a**2)*(3*a**2 - 4*a**2 - a**2) + (-2*a**3 - 4*a**3 + 5*a**3)*(-36*a + 52*a - 33*a) + 0*a**2 + 2*a**4 + 0*a**2.\nAnswer: 17*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9858\/(-212)*36\/(-2). Let n = 1144 - j. Calculate the remainder when n is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 + -90428740950?\nAnswer: -90428740950.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 16 - 16 = 0. Find the second derivative of -3*b + 1792 + 6*b**q - 2*b**4 - 1783 wrt b.\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, 0.1, 2\/49, 13\/2 in decreasing order.\nAnswer: 13\/2, 0.1, 2\/49, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 12:20 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24198?\nAnswer: 2, 3, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 162860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 985137 a multiple of 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + 1. Let c(g) = z + g - 2*g + 2. Calculate the remainder when c(-9) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 11 + 23*y - 1)*(0*y - y + 6*y + (3 + 3 - 5)*(0*y + y + y)) to the form k*y + w*y**2 + f and give w.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m - 36 - 12 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9834306929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/15)*w*w*w)\/(w\/(w*w**(-1\/4)*w)*w))\/(((w\/(w\/w**(5\/6)*w)*w)\/w)\/w**14))**(-2\/13) assuming w is positive.\nAnswer: w**(-1007\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308 + 11 = 23*j + 4*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppppdpppppppppp. Give prob of sequence pp.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110875 and 875.\nAnswer: 776125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1025 and 12997?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1498 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2159575 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 i = 51 - 49. Let y be 1\/((-3)\/(-33)) - (-2 + i). Let p = 3.67 - -0.33. Which is the closest to -2\/7? (a) -0.3 (b) p (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645412 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 7:47 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.19843s to microseconds.\nAnswer: 60198430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*w + 36. Calculate the smallest common multiple of (-200)\/(-15)*(1 + 15\/w) and 39.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l*l**6\/l*l*l)\/l**6)\/((l*l**(1\/4))\/((l*l**(1\/10)*l)\/l*l))*(l**(1\/11)\/l*l\/(l**(-5\/6)*l))**(-12) assuming l is positive.\nAnswer: l**(1487\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*x - 6 = -0*x, 5*x - 2 = 4*m. Suppose 0 = 88*w - 3*w - 170. Solve -5*c + m = i + 2*i, -w*c + i = -3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 10:00 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -18, -11, 0, 1.\nAnswer: -18, -11, 0, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 38. Calculate the remainder when 189 is divided by f(0).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.54 + -0.0184462621?\nAnswer: -1.5584462621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 6, -x - 18*p + 11*p = -6*p - 4*p - 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - u = -18, 0 = 42*u - 43*u + 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8217273 by 3.\nAnswer: -2739091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**2\/5 - 232*w\/5 - 450 = 0?\nAnswer: -9, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16940 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r - 2*y = -34*r - 61, 5*y = 2*r - 140. Solve -33 + r = 8*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 5. Suppose -2*h + 9 = -11. Let s be 51\/5 + (-2)\/h. Let l be d(s). Let i(g) = g**2 - 7*g + 4. Give i(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/4, -0.1, 4, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2314 + 23244433?\nAnswer: 23242114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen halves of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1615, 1694, 1869, 2140, 2507, 2970?\nAnswer: 3529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 9*c**2 - 22*c + 8. Let a(x) = 4*x - 33. Let f be a(12). Let g be r(f). Let o = g - -3329. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 715 or 241839?\nAnswer: 715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5*(0 + sqrt(1900)) + sqrt(1900) + 0 + sqrt(1900) + 1 + -1)**2.\nAnswer: 700*sqrt(19) + 93125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8393426.\nAnswer: 2, 4196713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 8) + -16 - (-3 + -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 12*a. Let m be v(1). Let s be m\/14 + 3\/21 + 1. Differentiate -11*d**2 - 17*d**s + 3 + 18*d**2 wrt d.\nAnswer: -20*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667249053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4023642 divided by 7\nAnswer: 574806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**2 - 2*x + 1. What is v(-3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(13 - 13 - 6*d) + 5*d - 5*d - 5*d + (6*d - 4*d - 3*d)*(0 + 2 - 1).\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 107193 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*a + 15, -6 = -r - r + a. Suppose 4*m - r = 3*m. Does 2 divide 4*m*2\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2\/3 + 1570442*k\/3 + 616572018841\/3 = 0.\nAnswer: -785221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 1 - 1)*(-1 + 1 - 2*h**2) - 2*h**2 - 2 + 2 + 762*h**2 - 387*h**2 - 439*h**2)*(60 - 60 - 10*h) to d*h**2 + n + i*h**3 + m*h and give i.\nAnswer: 620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = z + v, z = -3*v - 0*v - 13 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 5:03 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/5 in 29, -0.03, 12, 0.1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uht when three letters picked without replacement from {k: 1, u: 1, t: 5, h: 1, j: 1}.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1698761119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28250666123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 1. Let y(o) = -5*o**2 + 4. Calculate 4*n(b) - y(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2426, -27, 1, -3, 10 in increasing order.\nAnswer: -2426, -27, -3, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**4\/4 + 1043*c**3\/4 - 198815*c**2\/4 + 3083341*c\/4 = 0.\nAnswer: 0, 17, 227, 799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49783, -47855, -44641, -40141, -34355, -27283?\nAnswer: -18925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 152*u**2 + 113*u - 3. Let z(p) = -305*p**2 - 222*p + 7. Let m(v) = 5*g(v) + 2*z(v). Find the second derivative of m(k) wrt k.\nAnswer: 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**4 - 188*b**3 + 9690*b**2 - 77252*b - 87131 = 0.\nAnswer: -1, 11, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, -76, 3, 0.5 in ascending order.\nAnswer: -76, -0.03, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -1031204?\nAnswer: 1031203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -269 times 0.02\nAnswer: -5.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*((q*q**(1\/6))\/q)\/q)\/q*q**0*(q\/(q**21*q*q))\/(q*q\/(q*q**(-25))*q) assuming q is positive.\nAnswer: q**(-293\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10392323*i*t**2 + 2*i*t - 10488347*i wrt t.\nAnswer: -20784646*i*t + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, u: 1, x: 2, h: 1, d: 2}. What is prob of picking 1 h, 1 u, and 1 x?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18 (b) 3\/4 (c) 2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*f + f = 18, -11 = -3*l - f. Let z be 58*1*l\/6. Let p = z - 59\/2. Which is the smallest value? (a) 0.4 (b) p (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18816 * -0.1.\nAnswer: -1881.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2326 is divided by 626?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15853 and -9840500168.\nAnswer: -9840516021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 20*j + 69. Let w be d(3). Sort w, 1, 9, -2 in descending order.\nAnswer: 9, 1, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 32 (b) -5 (c) 41 (d) 4\/59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**7\/840 + c**6\/180 + 2*c**3\/3 - 1. Let z(g) be the third derivative of p(g). What is the third derivative of z(n) wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6837\/(-129) - 252\/(-21)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*y + 5*a - 84, 4*y = 3*a + 113. What is the remainder when 56 is divided by y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 550908 divided by 137727\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3 - -2.299991. What is h rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2394828760?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 + 9 - 3 + (-6 + 2 + 3)*(1 - 4 + 5) - 2 + 1 + 2 + 2 - 4 + 0)*((-2*j + 3*j - 5*j)*(3 + 3 - 4) + 1 + 1 - 3*j + j) to f + x*j and give x.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/(-126) + (30\/(-5))\/(-18).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 - 4*o**3 - o**3 - o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 + (-1)\/((216\/104)\/9)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 55*m - 20. Let f(v) = -v + 6. Let w(r) = -3*f(r) - t(r). Let b(y) be the first derivative of y**2\/2 - 7. What is b(w(x))?\nAnswer: -52*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 946*u - 47. Let m(d) = 947*d - 40. Determine 7*m(h) - 6*z(h).\nAnswer: 953*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2211355 or -2211330?\nAnswer: -2211355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 250, 263, 266, 253, 218, 155, 58, -79?\n\"Answer: -y**3 + y**2 + 17*y + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*y + 832 = 0, -2*y + 322 = 3*u - 502. What is the highest common factor of 1564 and u?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 389 = 4*n + 365, -3*n = 5*a - 23 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(4500) + sqrt(4500) + -1 + sqrt(4500)).\nAnswer: -450*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 0 (b) -0.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 272420299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13584695 less than 1.066?\nAnswer: -13584693.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2 + sqrt(931))**2 + 0)*3.\nAnswer: 84*sqrt(19) + 2796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + 6*sqrt(7)*-2 + 4 - (sqrt(49)*-2*2)\/(-2*sqrt(343))).\nAnswer: -430*sqrt(7)\/7 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 + -23. Suppose -84 = -a + j. Let d(b) = b**3 + 6*b**2 + b - 6. Let m be d(-5). What is the greatest common factor of m and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + -945854.633?\nAnswer: -945894.633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -2\/3 (b) 0.5 (c) 1 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9186, -9187, -9188, -9189?\nAnswer: -9190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 5*h - 12838526 + 12838529 = 0, -8*k + 4*k = -3*h - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1356282, -1356346, -1356410, -1356474, -1356538, -1356602?\nAnswer: -1356666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 407736 times 4?\nAnswer: 1630944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(-4\/11)*t**(2\/11)\/t**(-2) assuming t is positive.\nAnswer: t**(24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -2\/20633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -95 - -c07a?\nAnswer: bcb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 2277 = 573. Suppose 2*q - w = 4*c, 0 = 5*q + 4*c - 3*c - 666. What are the prime factors of q?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 17*r. Let g = -93 - -93. Suppose g = 5*q + 11 - 21. Let d(c) = 10*c**q - 6*c**2 - 3*c**2. What is v(d(m))?\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49430.\nAnswer: 2, 5, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = x + 12. Let l = -9 - x. Let q = l + 5. Solve 0 = 3*v - 4 - q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 10:29 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 470*l - 484*l + 308 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47\/66 - -1\/22. Let p = 1 - 0.7. What is the closest to 1 in -4, p, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 j, and 2 q when four letters picked without replacement from qjvqvqvv.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -1\/210*t**7 + 0*t**3 - 1\/10*t**5 + 0*t + 0 - 2*t**2 + 0*t**4 + 0*t**6. Find the third derivative of x(h) wrt h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22875*k = -22835*k - 1560 for k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 8*f**2 + 7*f + 13. Let b be y(9). Let l(d) = 2 - 6 - 6 + d. Let z(c) = c - 7. Let m(v) = b*l(v) + 7*z(v). Determine m(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206745054?\nAnswer: 2, 3, 79, 436171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 235881*a - 9*a**2 - 235877*a + 3*a**3 - 4*a**3 - 9. What is y(-10)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 5*l - 1. Calculate w(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45264579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*b = -164*b - 615 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20568967 or 20568961?\nAnswer: 20568961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y\/(((y**(1\/4)*y)\/y)\/y*y*y)*y)))**(-1\/78))**(-49) assuming y is positive.\nAnswer: y**(343\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 8:09 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1375 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2790 - 2779. Solve -66 + 55 = v*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f**2 - 1. Let o = -5 - -6. Let s be b(o). Suppose 29 = 3*h + 3*y - 7*y, y + 8 = h. Calculate the highest common factor of h and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/2, 2\/17, -21\/11?\nAnswer: -21\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -8*h. Let y(x) = -10*x + 354. Let z(b) = 5*b - 193. Let u(t) = -6*y(t) - 11*z(t). What is u(l(d))?\nAnswer: -40*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 19*a - 6*a)*(5*a + 2*a**3 - 5*a) + a - a**4 - a - 3*a**4 + 4*a**4 + a**4.\nAnswer: 17*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 692524972 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4998062 and 2670.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23724.\nAnswer: 2, 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 10 + 2 + (-6 - 1) - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 9 = i. Suppose -b = -3*a + 101, 167 = 2*a + 3*a - i*b. Suppose -3*g = -g - a. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34735 divided by -9?\nAnswer: 34735\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 13*j**2 - 4*j + 4. Is 11 a factor of d(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + n = 7, -3*j = j - 2*n + 22. Let u(g) be the second derivative of g**4\/12 + g**3 + 2*g**2 + 3*g. Determine u(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o**2 - o**2 + 6*o**2)*(3*o - 4*o + 3*o)*(-4 + 5 + 0)*(o + 0*o - 2*o) as i*o + r*o**2 + l*o**4 + v + f*o**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*i, 3*i + 1 = -5*s + 17. What is the third derivative of -4*q**3 - 4*q**2 + 0*q**i + 6*q**4 + 4*q**3 wrt q?\nAnswer: 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + 3 - (-4 + (20 - -2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, n: 1, d: 1, f: 4, z: 1, a: 3}. What is prob of sequence fq?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06507796929 rounded to three dps?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7*k + 3. Let s(p) = -2*p. Determine 2*d(c) + 6*s(c).\nAnswer: 2*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 v, and 1 w when four letters picked without replacement from qvvwwqqw.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.792 - -7.792. Which is the fourth biggest value? (a) i (b) -2 (c) 5\/8 (d) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 12*m - 11. Calculate l(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7*q. Let g be s(1). Suppose 5*a + 29 + 36 = 0. Let u = g - a. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42845860 to the nearest ten thousand.\nAnswer: -42850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v - 42. Let w be u(-9). Which is the second biggest value? (a) -0.5 (b) -0.06 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57590 = 269*r + 64853 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 996554861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 168095, 168094, 168093, 168092, 168091, 168090?\n\"Answer: -n + 168096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/5 - 46704\/(-56280)?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 11*u**2 - 5. What is the units digit of j(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, g: 16}. What is prob of picking 2 e?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 68 - -2a019?\nAnswer: 2a086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 103\/1133 + 2470\/(-429).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/3*27\/6. Suppose 5*d = 2*x - 33, 0 = -4*x - 0*x + j*d + 59. Suppose 0 = 2*f - x + 4. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1345148?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16548 + 16577. Solve g*d = -44*d - 438 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4, -3*o = 78*j - 75*j - 36. Is j less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjztnytz. Give prob of picking 1 x and 1 j.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 31664*c**2. Let f(w) = -88*w. What is f(i(g))?\nAnswer: -2786432*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 0*c + 10452*c**2 - 3206*c**2 + 2*c.\nAnswer: 7246*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 161, 317, 473?\n\"Answer: 156*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1871320158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95320 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/5 and 17\/129.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 27*j - 1333. Calculate n(50).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42*j*k*l - 1214*j*l**2 + 5*k*l**2 - 13*k*l - 78*l**2 - 2*l with respect to j.\nAnswer: 42*k*l - 1214*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/37))\/((d\/d**(3\/5))\/d*d)*(d**(1\/4))**39 assuming d is positive.\nAnswer: d**(7619\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00744 to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -3*g**4\/2 - 4*g**3\/3 - g**2\/2 - 9*g + 9. Let h be x(-4). Let b = h + -158. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 + 44.1. Let g = p - -2. Let s = -44 + 128\/3. Which is the closest to g? (a) -3 (b) -0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 227266457.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 1 = 5*u - 4*n, -5*u = 2*n - 19. Suppose -2*d = -l - 461, -3*d + 42 = -u*l - 651. What are the prime factors of d?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*y = -158*y + 3744. Let w(l) = -l**3 - 22*l**2 + 21*l - 10. Let i be w(-23). What is the highest common factor of i and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 7*j**2 + 4. Let m be t(-7). Suppose 7 = -4*p + 2*o + 15, -3*p = -o - m. Suppose -b = p, -3*l + l - b = -818. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -582 = -23*h + 62. Calculate the smallest common multiple of 28 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1255 is divided by 90?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j**2 + 18*j + 12*j - 39*j + 2*j**3 in the form s*j**2 + q*j + a*j**3 + p and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 7*c**2 + 26*c + 65. Determine p(-9).\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 37\/2 of a tonne?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, a: 3}. Give prob of picking 2 d and 2 a.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8827031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-10)*(-3)\/((-27)\/15)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + (sqrt(252) + 1)**2) + (-1*sqrt(28)*-4 + sqrt(28) + sqrt(28))\/sqrt(4)*1.\nAnswer: 18*sqrt(7) + 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/3)\/((-4)\/(-30)). Suppose -r = -m - m. Let t = 5 + -3. Solve t*n + m - 4 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 12:40 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 123 - -372. What is o rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/2)\/((-10)\/35*-7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 16780?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19746247?\nAnswer: 167, 317, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101111101 (base 2) in base 10?\nAnswer: -2429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 9*d - 18. Calculate i(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 10*j**2 - 13*j - 2. Let i be l(-9). Find the second derivative of -57*v**2 + 29*v - i*v**3 + 120*v**2 - 63*v**2 wrt v.\nAnswer: -204*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156942 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1 - (-8 + 13)) + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 610.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3734 + -3734. Which is the closest to 2\/5? (a) -22 (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 20, 5704736 + 995239 = -2*j + 5*c. Round j to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d - d - d)*(8*d - 4*d - 6*d)*(2*d - 2*d + 2*d) as q*d + g + m*d**2 + x*d**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + -24)*(19 - -15). What is k rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -1\/28 (c) 3\/2 (d) 329 (e) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -0.2, -2\/41, 0.7, -0.021?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3894)\/(-7) + (70\/(-49))\/5.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -781574333 + 659583.\nAnswer: -780914750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfp when three letters picked without replacement from pppppwpppwpppwfwpwww?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 19*p**2 + 18*p + 20. Suppose 9*n - 261 - 182 - 187 = 0. Calculate the lowest common multiple of n and b(18).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(90)*2)\/sqrt(2))\/(1*sqrt(9)*-2) + sqrt(3645)*2 + -1)**2.\nAnswer: -106*sqrt(5) + 14046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2884 divided by 206\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/3)\/((8\/10)\/((-7223550)\/(-125))) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r**2 - 24*r + 4. Let q(t) = -2*t**2 + 5*t + 1. What is -3*q(l) + z(l)?\nAnswer: 2*l**2 - 39*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5348 - -21986. Is 118 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4*(4 + (2 + sqrt(833) - sqrt(833))))**2 - ((sqrt(833) - (sqrt(833) + (sqrt(833) - 5*((sqrt(833) - (sqrt(833) + 0)) + sqrt(833)))))**2 + 0)).\nAnswer: -25504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7117.088 centimeters?\nAnswer: 71.17088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 w when three letters picked without replacement from {k: 9, w: 9}.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 708.0089 and 0.16.\nAnswer: 708.1689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -8, -3*s - 2 = 17*j - 15*j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u + 6*u = 153 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.61 + 45.61. Let a = -31 + p. Let k = a - 16. Sort k, 1\/4, -3.\nAnswer: -3, k, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - 0 - (-66)\/3. Suppose -17 = -4*q + 5*q + m, 0 = -4*m - r. What is the units digit of (q\/(-5))\/(4\/30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 0*s + 4*s)*((-1 + 3 + 0)*(1 + 0 - 3) - 1 + 0 - 20 - 5 + 4 + 4) - 18*s + 2*s - 11*s.\nAnswer: -49*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.8 (b) 3\/7 (c) -9\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 658714, 658722, 658744, 658786, 658854, 658954?\nAnswer: 659092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/6)\/z)\/(z\/(z*z**(-2\/3))*z*z*z)*(z*z\/(z*z*z**(10\/7)))\/(((z*z**(1\/3)*z)\/z)\/z) assuming z is positive.\nAnswer: z**(-235\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2 - 3*j + 1. Suppose 0 = -4*d - 2 + 10, -4*x - 3*d = -22. Let q be x\/(-8)*(5 - 9). Calculate p(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-10)*5 + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.45610954 + -14.4?\nAnswer: -16.85610954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 124 + -123.39. Let a = 0.61000022 - l. What is a rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 310.\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5319480 divided by -5\nAnswer: -1063896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exeexexffeeefxexxeef. Give prob of sequence xff.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l. Let q(f) = -22*f**2 + 83*f + 2. Determine q(j(c)).\nAnswer: -22*c**2 + 83*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3124842301?\nAnswer: 7, 17, 26259179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 569*l**4\/4 + 299*l + 1599. Find the first derivative of m(f) wrt f.\nAnswer: 1707*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c - 7. Let f(u) be the second derivative of u**4\/4 + u**3\/6 - 5*u. Let h be f(1). Let k be (6\/h)\/((-9)\/(-30)). Give n(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 5*g - 3*g + 5*b, -2*b = 4*g + 6. Let j = g + -1. Factor t**2 + 3*t**3 + j*t**2 + 20*t**4 - 3*t**2.\nAnswer: t**2*(4*t - 1)*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53233*c**2*z**3 + 21*c**2 + 263*c*z**2 - 3*c*z + 18*c + 571*z**3 + 4*z wrt z?\nAnswer: 319398*c**2 + 3426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 442\/25 and 17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 431338*a*y - 9*y + 854 wrt a?\nAnswer: 431338*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 - 2186663*j\/4 + 1639995.\nAnswer: (j - 2186660)*(j - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*a + 918, 3*h - 483 = -2*a + 434. Suppose -1873 = -18*i + h. What is the lowest common multiple of i and 132?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8dc - 66c6?\nAnswer: -70b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 86634990 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*(sqrt(33) - sqrt(297)))\/((sqrt(77) - (-2*sqrt(77) + sqrt(77) - sqrt(77)))\/sqrt(7)).\nAnswer: -4*sqrt(3)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/4975)\/(2\/(-10)). Let d = -782\/1393 - g. Calculate the common denominator of 145\/6 and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 264, 635, 1170, 1881, 2780, 3879, 5190?\nAnswer: 6725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5005969 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(0 - (-4)\/(-16)*8). Solve 3*v - p = -h, -3*v + 2*h + 2*h - 1 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 623 = 9*b + 56. What is the remainder when 488 is divided by b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 12 = -2*q. Which is bigger: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2141 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*q**2 + 113*q**2 + 834*q**2 to z + k*q + h*q**2 and give h.\nAnswer: 933","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -n**4\/4 - 2*n**3\/3 - n**2 - 4*n - 17. Let t be p(-2). Let o = 2\/2009 - 1154\/6027. Is o smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 5771?\nAnswer: -23084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -249, -1912, -6345, -14940, -29089, -50184, -79617, -118780?\n\"Answer: -232*v**3 + 7*v**2 - 60*v + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6917545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1453095838?\nAnswer: 2, 9011, 80629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 18*p**3 + 5*p**2 - 5*p**2 - 33.\nAnswer: 18*p**3 + p**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s + 5. Let w(n) = -n - 1. Let t(j) = i(j) + 4*w(j). Let x(l) = l**2 + 5*l + 7. Let f be x(-6). Let u = -8 + f. What is t(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 5 - (2 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*30\/18 + 239. Let j be 26\/f*(-3 - -1). Which is the biggest value? (a) 0.06 (b) j (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o = -6*o - 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100.3 - -100. Which is the nearest to -2\/3? (a) 0.2 (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 + -20 - 1) + (-4 - 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210240, -210228, -210204, -210162, -210096, -210000?\nAnswer: -209868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-23) - (3 + 324\/(-23)). Solve m*t = 9*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2571546567 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/39 + 5\/78. Let f(v) be the second derivative of 0*v**4 + 1\/10*v**6 + 3*v + 0*v**5 + c*v**3 + 0 + 0*v**2. What is the second derivative of f(s) wrt s?\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 41 and 0.5.\nAnswer: 20.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 41057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -84 - -1262\/15. Let i be (-50)\/20*2 + (-17)\/(-3). Is r >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.4*22913.\nAnswer: -192469.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 8:43 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in sixty-four fifths of a millimeter?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**4 + 1385*s**3 + 6975*s**2 - 34625*s - 173750 = 0?\nAnswer: -5, 5, 1390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u - 5. Suppose 2*a - 3*n + 4 = 0, 2*n + 5 = -a + 5*n. Let g(x) = x - 1. Determine a*y(f) - 5*g(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqjjqq. Give prob of sequence qq.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12*2\/(-4)*12\/(-9). Suppose 43*i - m = 39*i. Let v be (-4)\/(7 + -2 + -3) + i. Put v, -1, -16, 2 in decreasing order.\nAnswer: 2, v, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-4 + 14 - 9 - 2) - 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -13926*z**3 - 2*z**2 - 4*z - 8. Let p be r(-2). What is p rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.89 - -0.11. Let c = 28 - u. Let k = c - 17.0000044. What is k rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8415\/5610)\/((-18)\/26)\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.1 + 13. Let w = 7 + -12. Which is the smallest value? (a) 3 (b) g (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -239, -250, -259, -266, -271, -274, -275?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 + 184\/3. Let y = -0.8 - 0.2. Let t = 15 + -14. What is the closest to t in y, h, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 152 - -6. Let h(w) = -w**2 + 8*w - 20. Let b be h(4). Calculate the remainder when v is divided by (b\/(-16) + (5 - 4))*32.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110000 (base 2) to base 9\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4996.76261 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4207.\nAnswer: 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((243\/36)\/(-27)). Put -329, d, 0 in descending order.\nAnswer: d, 0, -329","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/15)*y*y*y)\/(((y*(y\/(y*y*y\/((y**11\/y)\/y*y)*y))\/y*y)\/y)\/y))\/(y**(-5))**(-13) assuming y is positive.\nAnswer: y**(-1018\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6206188?\nAnswer: 2, 233, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 8*j**2 + 3*j - 6. Let s be y(8). Let h = s - 12. Let i be 94001\/(-1) + -5 + h. What is i rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6054 + 8495. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -41. Calculate the lowest common multiple of 18 and q.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -20*h**3 - h**2 - 2*h - 1. What is t(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.17633 decades in centuries?\nAnswer: 8.417633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 108542285?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6313*h + 1148855 - 1148855 to the form z + a*h and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrr. What is prob of picking 4 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + -54. Let m = 2\/757 - -3777\/3028. Which is the nearest to n? (a) m (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) + sqrt(66) + (sqrt(66)*-1 - sqrt(66)))*5)\/sqrt(11))\/((sqrt(216)*-1)\/sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 - -50. Let g = c + 56.84. What is g rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1080 and 960.\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 7*h - 4. Let j(c) = -20*c + 12. Let q(o) = 4*j(o) + 11*r(o). Let n be q(3). Let a = 3 - n. Solve 3*w - 1 = a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*l + 59 + 11*l + 15*l as o + v*l and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -166655 (base 7) to base 12.\nAnswer: -17545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 8. Solve -g - 14 = 3*i, -a*g = i + 2 + 11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35804.249 * -5.\nAnswer: -179021.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 10:38 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54\/37 or -2?\nAnswer: -54\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.166 - -1.666. Which is the smallest value? (a) -3 (b) -0.2 (c) -4\/5 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -2. Suppose 5*p + 0 + 5 = 0. Sort 0, p, x in decreasing order.\nAnswer: x, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 + -1.8. Let f = t + 0.3. Sort -5, f, 0.2 in ascending order.\nAnswer: -5, f, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 8 = 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 32 = -5*s - 4, -6 = -2*y. Let o be (s - -81 - -6)*(-2)\/(-4). What is the third derivative of 27*c**2 + 21*c**5 + 22 - o + 24 wrt c?\nAnswer: 1260*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*a + 2492 = -124*a. Calculate the remainder when a is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*f + 2 - 8)*(2*f - f + f).\nAnswer: -4*f**2 - 22*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3706, 7395, 11068, 14731, 18390, 22051?\n\"Answer: f**3 - 14*f**2 + 3724*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5227 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -8*b + 146. What is c(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**2 + 2*u + 19. Let r(b) = b**3 + 2*b**2 - 2*b + 17. Let a(w) = 2*m(w) - 3*r(w). Let c(i) = -2*i**3 + 7*i - 9. Determine 5*a(l) - 7*c(l).\nAnswer: -l**3 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 0 + 4)*(1 - 3 + 4) - 3 - 1 + 2 + (0 - 10 - 1)*(164 - 563 + 192))*(2*k - k + 0*k) in the form u*k + f and give u.\nAnswer: 2279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4502493445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g**3 + 2*g - 1. Let k be u(1). Let o be (-2)\/4 + 6\/k. What is the nearest to 8 in 0.2, 5, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -3, 44, 129, 264, 461, 732, 1089?\nAnswer: 1544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.1 - 9. What is the nearest to 0 in b, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 5*l**2 + 28*l + 28. Let c be x(-8). What is the common denominator of -38\/183 and (-134)\/(-6) - c\/(-6)?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7665 is divided by 1911.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12554681, -12554797, -12554913, -12555029?\nAnswer: -12555145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 6*k - 2*k + 22 = 0, 0 = -4*a - 2*k + 28. Let x be 1*(-2)\/a*-3. List the prime factors of (2 - x)\/((-1)\/(-10)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 277.23 times 0.529\nAnswer: 146.65467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + q**2 - q**2)*(81*q - 28*q - 22*q + (-2 + 5 - 1)*(q + q + 0*q)).\nAnswer: 35*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 18 = n + 12, 0 = 14*j + n - 17. Are 1\/519 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 = 0, -40489695 = -4*j + m + 2*m. Let l = j + -923260. Let x = 5299166 - l. Round x to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (60\/675)\/((-4)\/(-10)). Let n be 2 + ((-30)\/42 - (-48)\/28). What is the nearest to 0.1 in -5, 1, x, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 794 is divided by 80.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -4. Suppose 6*q = 2*q + 4. What is the closest to -1 in v, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**4 + 56*z**3\/3 + 128*z**2 + 384*z + 174. Factor s(x).\nAnswer: 4*(x + 4)**2*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v = -11*v - 4*r - 9, 2*v - 44*r = 86 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 - z + z)*(292 + 377 - 1085).\nAnswer: 832*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from {d: 2, g: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4770 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 68\/2582143?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 5:15 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015453998.\nAnswer: 2, 3, 13, 4339547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*c + 1 + 564*c - 207*c.\nAnswer: 244*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(156))\/sqrt(12) + sqrt(39)\/(sqrt(3) + sqrt(27)).\nAnswer: -7*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.050384 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 45 + 483 = 0. What is the third derivative of j*s**2 - 29*s**2 + 3*s**2 + 41*s**4 wrt s?\nAnswer: 984*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uum when three letters picked without replacement from {m: 3, u: 7, d: 2}.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.2? (a) 4 (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2099800 rounded to the nearest 10000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40403004 + 31?\nAnswer: 40403040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -78 and -84 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -5*p + 40. Suppose -3*z + 30 = -66. Suppose -z = -2*f + 2*o, 3*f - p = -o + 14. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (0 - -4) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*l - 20*l = -201 - 331 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 98707 = -5823. Let d = f + 15962. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5}. What is prob of sequence nn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000000001 (base 2) in base 15?\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x - 12*b - 27 = -15*b, -5*x + 3*b = 27 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5765408 >= 5765413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 - 64. Let y = -41 + 57. Let q = y + n. Solve -f = -q + 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 6*n**2 - n + 6. Let y be l(6). Suppose 15*s - 17 + 92 = y. Let d(t) = 4*t**2 + 20*t + 3. Let o be d(s). Solve -o*g - 6 = -0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21833 - -21833.10051. Let g = -0.1076 + c. What is g rounded to 4 dps?\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 16, f: 2}. Give prob of picking 2 f and 1 q.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1219294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -331451, -662942, -994433, -1325924, -1657415?\n\"Answer: -331491*n + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + x + 3 = 0, 9 = i - 6*i - 3*x. Suppose -j + h + 30 = i, -3*j = j + 3*h - 148. Let k = j - 30. Solve 0 = -k*r - 6 - 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -76*m**2 + 307. Let z(q) = -78*q**2 + 307. Let g(p) = -4*o(p) + 5*z(p). What is the first derivative of g(c) wrt c?\nAnswer: -172*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.7 and -3.6.\nAnswer: -31.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -449477820 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 598*k**3 - 598*k**3 + 31*k**4 + k**4 - 2*k**3 + 2*k**3 + (-2*k**2 + 1 - 1)*(-5*k**2 + 0*k**2 + 3*k**2) + 5*k**4 + 0*k**4 - 3*k**4.\nAnswer: 38*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.88 and 1.\nAnswer: 1.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0036 in 0.08, 5, -5, -1, -0.5, -13?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -d + 2*i, -4*i + 25 = i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -543 and 2.22.\nAnswer: -1205.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 200\/(-52) - 4\/(-26). Suppose 1517 = 3*s - 4*g, -u*s + 1991 = -0*g + g. What are the prime factors of s?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.3 - -0.7. Let m = -3 - l. What is the closest to 0 in m, -1, 1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1690598 is divided by 422649?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2331, -3197, -6597, -13797, -26063?\nAnswer: -44661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4*p**5 - 368*p**4 - 7604*p**3 - 18232*p**2 + 26208*p = 0?\nAnswer: -63, -26, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 2, d: 4, h: 2}. Give prob of sequence rh.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -37. Suppose -4*m + 17 = -j, 9*m - 4*m = 4*j + h. Solve -m = 2*l - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 291*q + 8. Is t(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6417, 25660, 57731, 102630, 160357, 230912, 314295?\nAnswer: 410506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 159 + -156. Which is the closest to v? (a) 3 (b) 2\/15 (c) 0.2 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 2340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**4 + 4*w**3 + w**2 - 1. Let u(h) = 78*h**4 + 22*h**3 - 52*h**2 - 3. Let d(x) = u(x) - 6*v(x). Find the third derivative of d(p) wrt p.\nAnswer: 1728*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + ((0 + sqrt(252))**2 - sqrt(252)) + sqrt(168)\/sqrt(6).\nAnswer: 2*sqrt(7) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a = -26*a - 175 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2272161 + -11?\nAnswer: 2272150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 140571 + 0.02.\nAnswer: 140571.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/10? (a) -4\/5 (b) 0.1 (c) 63 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**5 - 490*x**4 - 4120*x**3 - 12560*x**2 - 16880*x - 8480 = 0.\nAnswer: -2, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79959457*x**3 - 53298594.\nAnswer: -239878371*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -329165 or -329167?\nAnswer: -329167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2 + 11*o + 149. Let s be a(9). Let n(g) be the first derivative of 8\/21*g**3 + 1\/7*g**4 - 2\/35*g**s + 0*g + 17 - 8\/7*g**2. Factor n(p).\nAnswer: -2*p*(p - 2)**2*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(384) - sqrt(6)))\/((-2*sqrt(48) - sqrt(3)) + sqrt(3)).\nAnswer: 7*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, a: 1, z: 1, f: 4, p: 2}. Give prob of sequence ffap.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1074 divided by 3.\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3907169394?\nAnswer: 2, 3, 151, 4312549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5 - 158*b**3 - 7 + 2 + 146*b**3 - 1. Let k(i) = -i**3 - 1. Give 2*f(g) - 22*k(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46874689 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15\/6 + 2)\/(1\/(-16)). What is the remainder when 4\/k*-3 - 2482\/(-12) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 30*a**2 + 3*a - 89. What is k(30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i - 6*i - 489786988*i**3 + 489787044*i**3.\nAnswer: 56*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19949170 or 19949138?\nAnswer: 19949170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -6, 0, -4, 7901 in descending order.\nAnswer: 7901, 12, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 - -7) + 5*10. What is the greatest common divisor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -56 + -31?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -177073 (base 10) to base 14\nAnswer: -48761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3902+257\nAnswer: -3645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 10*x. Let g(b) = -20*b. Give o(g(t)).\nAnswer: -200*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 18 + 84*g - 1758*g as b + r*g and give r.\nAnswer: -1674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**4\/12 - 3*o**3\/2 - 5*o**2\/2 + o. Suppose 4*u = -2*y - 12, -12*y + 3*u - 17 = -7*y. Determine i(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/13133 and -181\/85650.\nAnswer: 1969950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**3\/3 + 5*j - 53. Let k be t(0). Sort -4, k, 2, -1 in increasing order.\nAnswer: -4, -1, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {n: 1, c: 2, g: 1, d: 1, i: 5, a: 3}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -337*7\/(-1) + -1. Let j be y\/30 + (-1 - 1). Let p = 77 - j. Is 0 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -8. Let k be ((-23)\/b)\/(1\/2). Let u = 32 + k. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 1, 3*x = 2*r + 4*x - 111. Let h = 100 - r. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 66.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16424322 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1359.99999237 + -1360. What is p rounded to seven dps?\nAnswer: -0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189 + 205 - 394 - 12*r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -11*s + 15. Let m be g(-13). Suppose m = 5*n - 2*a, -a - 4*a + 5 = 0. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 41, 22, -47, -178, -383, -674?\nAnswer: -1063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 66?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 14 = -2*l, -8*b - 38 + 1 = l. Solve l*p + 13 - 3 = g, -4*p + g - 15 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 592, 1200, 1822, 2452, 3084, 3712, 4330, 4932?\nAnswer: 5512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 123.3 (b) 24\/167 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(-2)\/(-9)*-3. Is a\/6 - (-80)\/6 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o = -12*o + 21*o - 35*r + 21*r + 242, 0 = 5*r + 10 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 12 + -15 - (-1 - (1 + -7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*d - 884 + 917, 0 = 2*w + 4*d - 26. Solve w = -10*z + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 85*c*j - 32*c - 5*j wrt j?\nAnswer: 85*c - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2301 and 3?\nAnswer: 2301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**4\/24 + z**3\/3 - 2*z**2. Let u be ((-3)\/(-2))\/(12\/48). Suppose 3*l = -3, 0 = 4*a + l + 19 - u. Determine m(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and (32 + -43)*12294\/(-99)?\nAnswer: 15026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 5. Let r(g) = 2 - m*g - 4 - 5. Does 13 divide r(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7499785 by 1499957.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4450347 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 23*u**2 + 3*u - 7. List the prime factors of i(2).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3 = 3*r, -5 = 3*z - 8*z - 4*r. Let o = 2 - z. Let p = 0 + -0.3. Which is the smallest value? (a) o (b) 1\/2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8965000 to the nearest one hundred thousand.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 221?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -231 + -10?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 1\/2*p**4 - 12*p + 2\/15*p**5 + 2\/3*p**3 + 0 + 1\/3*p**2. What is d in l(d) = 0?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -45. Let n(z) = -10 + 5 + i*z - 6. Let q(u) = 5*u - 4. Let c be 0 - (16 + 1 + 0). Determine c*q(f) + 6*n(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 17*u**2 - 17*u - 9. Let v = -19 + 37. Let d be l(v). What is the greatest common factor of d and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5 - 9*c**2 - c**3 - 3*c + 4*c**2 - 4*c**2 + 0*c**3. Let i be q(-9). What is the greatest common factor of i and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 7*n - 12. Determine j(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 61, 41478 in increasing order.\nAnswer: 2, 61, 41478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6*x - 3. Let d be (-9)\/(-6)*8\/(-12). Let g be o(d). Solve 13 = 3*b - 8*b + g*t, 0 = 5*b + 4*t + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 7*u - 5. Let s = -31 - -37. Let f be d(s). Factor 4*n**5 - 163*n**4 + 147*n**4 + 16*n**2 - f - 4*n**3 + 1.\nAnswer: 4*n**2*(n - 4)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*g - 256, 4*g + 128 = 6*g - i. Suppose -l - 5*z - 130 = -6*l, 4*z = -3*l + g. What is the units digit of -2*797\/(-12) + 4\/l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4 - 46*a**3\/3 - 94*a**2\/3 - 74*a\/3 - 20\/3 = 0. Calculate a.\nAnswer: -5, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/83 and -21\/8.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + b**3 + 3*b + 8*b + 54.\nAnswer: b**3 + 7*b + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.277037 to two dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*h + 5 = -228*h, 0 = 4*u - 5*h - 5. Let l(p) = 2*p**2 - 7*p - 9. Let k be l(9). Solve u = 85*a - k*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 98\/(-4)) + 4\/(-8). What is the highest common factor of r and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -130*q - 63. What are the prime factors of u(-2)?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 t when three letters picked without replacement from rrqtqqtquqrc.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -13 + 193. Suppose 3*g + l = -159. Let c = 119 + g. What is the remainder when c is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 170*t**2 + 77*t?\nAnswer: 340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3709 is divided by 248.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 + m**2 + 2*m. Let z be (-834)\/(-15) - 2\/(-5). Let w be 632\/z + 2\/(-7). Let i = -9 + w. Calculate g(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 110444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 30. Let p = 106 + -94. What is the least common multiple of p and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 7) to base 11\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 49 + 19 = 0. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 517*i + 10876. Calculate o(-21).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-109)\/(-8) - 51\/(-136). Suppose 29457 + 6649 = y*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1440 divided by 5.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**4\/12 - 11*x**3\/6 - 6*x**2 - 3*x. Let d be p(-8). What is the units digit of d\/(-30) + (-32)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300549867 to the power of 1\/2, to the nearest integer?\nAnswer: 36063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*c + 5*w, 5*c + 3 = 2*w + 8. Let o(x) = -x**3 + 2*x**2 + 3*x - 3. Let l be o(2). Suppose -15 = l*r + 5*p, 2*p + 6 = -r + 2*r. Is r at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*m + 2865 - 2712 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -22. Let j(z) = z**2 + 2*z + 3. Let h be j(l). Let s(b) = -14*b**2 + 20*b. Let d(i) = 5*i**2 - 7*i. Calculate h*s(q) + 17*d(q).\nAnswer: q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/1350 and 37\/65055.\nAnswer: 5854950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 5*c + 2*a + 27025, -4*a + 5405 = c. Suppose 21*y - 26*y = -c. List the prime factors of y.\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39429 + -35611. Calculate the highest common divisor of 996 and m.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-8)*226*-1. Let t = u + -109. Let c(i) = i**2 + 7*i - 8. Let w be c(-8). Solve t*g = -w*g + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(684)*-2)*1*6 + -1)**2.\nAnswer: 1872*sqrt(19) + 98665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + m**2 - m + 2. Let o be g(0). Let z be 46\/(-14) - (-2)\/7. What is the units digit of (0 + -9)*(o + z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3)*v\/(v*v**(-15)\/v*v*v) assuming v is positive.\nAnswer: v**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -524844.\nAnswer: -524848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -0.04 (b) -0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/4 of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -1, -14 in decreasing order.\nAnswer: 2, 0, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 8*w**2 - 9*w + 1. Let f(b) = 23*b**2 - 25*b + 3. Let y(i) = -11*c(i) + 4*f(i). Let r(s) = -5*s**2 + s - 1. Determine -3*r(v) - 4*y(v).\nAnswer: -v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s + s - 4*s)*(-s**2 + s**2 + s**3)*(5 - 2 - 2 + (-1 - 5 + 3)*(-4 + 5 + 0) + (-1 - 2 + 2)*(12 - 8 + 8)) + (-1 - 3 + 3)*(s**4 - 6*s**4 + 3*s**4).\nAnswer: -26*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, -1\/11, -4, 6.65?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 10*r**3 + 342*r + 2. Let d(y) = -y**3 + y**2 - 2. Let z(a) = -d(a) - h(a). What is the second derivative of z(s) wrt s?\nAnswer: -54*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2550 and 1530.\nAnswer: 7650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4)\/((-1989)\/936)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -122 - -125.49. Let k = 6.26 - j. What is k rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 1. Let q be f(-1). Determine c so that -1\/2*c - 1\/2*c**q + 1 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -8*w + 118 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - -1. Let h(s) be the second derivative of s**5\/20 - s**4\/12 + s**3\/6 + 21*s**2\/2 - 4*s. What is the remainder when h(0) is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 233153888?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r + i = 12, -2*i + 14 = 3*r. Let c(n) = -3*n**2 - 5*n. Let y(s) be the third derivative of s**5\/60 + s**4\/12 + s**2. What is r*c(t) + 5*y(t)?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 83 and 47710769?\nAnswer: 3959993827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32204217?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6044 bigger than 28313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7568 = 2730*b - 2554*b for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 5*s - 25, -5 = 4*y - 6867*s + 6868*s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 480730 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -16074 not equal to -160749\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 309314, 308544, 307774, 307004, 306234, 305464?\nAnswer: 304694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 16*b + 202. Determine x(-25).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 112802 divided by 5?\nAnswer: 112802\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 292, 1464, 3520, 6460, 10284?\n\"Answer: 442*t**2 - 154*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145, 155, 179, 223, 293?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10157\/6 - -1703. Find the common denominator of 166\/(-4) - 1*-1 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 76.84024mg?\nAnswer: 76840.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 3*g + 3*g)*(271 + 273 - 78 + 34).\nAnswer: 1000*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 109982117.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.1 + -0.9. Suppose 0 = 3*s - 3, 4*y + 0*s - 3*s = 5. Which is the closest to -2\/3? (a) y (b) -2\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 13, -11 in increasing order.\nAnswer: -11, -1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-14) + (-5120)\/(-280))*18. Calculate the highest common divisor of o and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**8\/336 + 5*g**4\/24 - 9*g**2. What is the second derivative of k(w) wrt w?\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from wbggwllllb.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3539 - 201215.143.\nAnswer: -204754.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*g**3 + 1448*g**2 + 956*g - 480.\nAnswer: 4*(g + 1)*(g + 120)*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2604499 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42189088 by -4.\nAnswer: -10547272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-10 - (-1 + (-2 - 2)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -383 and -122136?\nAnswer: 46778088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 273101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2708 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1075 and -1348.327.\nAnswer: -2423.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 11:24 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.3015974 weeks?\nAnswer: 3040.101792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 74180415 and -0.3.\nAnswer: 74180414.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2. Let g(f) be the third derivative of -f**7\/5040 + f**6\/90 - 7*f**5\/60 + 3*f**2. Let z(x) be the third derivative of g(x). What is c(z(a))?\nAnswer: -2*a**2 + 32*a - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o - 2237. Let d(h) = -7*h + 8887. Determine 2*d(n) + 9*k(n).\nAnswer: 4*n - 2359","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 3 (b) -0.3 (c) -3.7 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 4*b + 57 = 0. Solve 3*d - b = -7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -53?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**27*(u*(u**(-21)*u*u*u)\/u)\/u assuming u is positive.\nAnswer: u**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d = 40*d - 101042 - 9874. Does 79 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24016 and 494.\nAnswer: 312208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2))**(-11)\/((o*(o*o\/((o**5*o)\/o))\/o)\/o*o*o**(-24)) assuming o is positive.\nAnswer: o**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 m when three letters picked without replacement from xdxxcmccdxddcccx?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 12 = 5*o - 14, -i = o - 6. Let u = -3 + 5. Let b = u + 16. Solve f + 2*f + b = -o*r, -4*f - 5*r = 19 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13610, -55102, -124254, -221066, -345538?\n\"Answer: -13830*m**2 - 2*m + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**5 - 30*u**4 + 60*u**3 - 40*u**2 = 0. Calculate u.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4669484 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5161 is divided by 226?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 163.6 + 758.4. Let d = y + -1425. Let n = 503.00000229 + d. What is n rounded to 7 decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 3*c - 12. Let t = 32 - c. Suppose 2*y - 3 - 11 = 0. Solve 4*g = -5*j - 7, t = 2*j + g + y - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121 (base 3) in base 4?\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2173 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/5 - -56\/115. Let s = -3.2 + 0.2. Which is the closest to 1\/2? (a) 4\/5 (b) s (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**4\/5 - 17*r**3\/5 - 17*r**2\/5 + 8*r\/5 + 12\/5 = 0 for r.\nAnswer: -2, -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 360 divided by 120\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -10196000 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 68 - 76*o + 11*o + 23*o + 20*o)*(-10 + 10 - 6*o) to the form x*o**2 + n + s*o and give x.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7*k - 13. What is the lowest common multiple of q(-2) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*j = -3*r - 5008, -7500 = -3*r - 3*j. What is the highest common divisor of 7089 and r?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/(-90) - (-76)\/18. Suppose k = -4*o + 16. Suppose o*q - 9 = 3. What is the second smallest value in -5, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.6 (b) 0.1 (c) -20\/13 (d) -2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -10. Let v be (1 - 3\/1) + 11. Suppose 0 = 4*d - 11 - v. Solve 0 = 3*c - 8*c, -d*j - g*c = -10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 17*q + 12. Let y be k(-17). Calculate the greatest common divisor of y and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -15*w. Let c be g(-1). Let v = c - -9. Suppose v = h - 10. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 9*j**2 - 2. Let a be w(-9). Is 9\/(a\/((-4)\/3)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 66\/14 + 6\/21. Suppose 0 = g - z*g. Suppose 0*h - h + 35 = g. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 17656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**3 + 5*h**2 - 43*h - 4. List the prime factors of g(-9).\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 - -2. List the prime factors of i.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1969314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -19308963 rounded to the nearest 100000?\nAnswer: -19300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 9 + (-41 - 9 - -16) + 29\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s + 3. Let b be t(7). Let j(v) = 321*v + 305*v + 325*v + 301*v + 23 - 1223*v. Let q(f) = 10*f + 8. Determine b*q(k) - 6*j(k).\nAnswer: -4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-14)\/28 + (0 - -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13265797*l**3 - 720209*l**2 - 13 wrt l?\nAnswer: 79594782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 4*s**2 - 3*s - 5. Let n be h(-3). Suppose -l - 2*l + 573 = 5*g, 5*l - 565 = -5*g. What is the highest common divisor of n and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0276 in 2\/17, 0, -4, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13089317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4893\/98 + (30\/(-375) - (-212)\/1400)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -5. Let t(v) = 1 - 2*v + 3 - 3. Let b be -3 + (-2 - (-6)\/2). Let m(u) = 4*u - 3. Give a*t(s) + b*m(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -11*u - 40. Let z be g(-4). Which is the nearest to -0.1? (a) -6 (b) z (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + w - 11 = 0, -462986*r = -462991*r + w - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**3 + 4*w**2 + 3. Let q(y) = -6*y**3 - 11*y**2 - 8. Let i = -7 - -16. Let c be (2 - i\/6)*16. Let j be (-5)\/2*(-12)\/10. Calculate c*m(p) + j*q(p).\nAnswer: -2*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 8. Let o be z(-6). What is the third derivative of 134*t**3 - 2*t - 16*t**2 + 77*t**2 - 40*t**o wrt t?\nAnswer: 804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -1 (c) 0.1 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 2. Let f be -14*((-15)\/(-6) + -3). Let h(n) = 4*n**2 + 3*n - 7*n**2 + f + 2*n**2. What is h(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 0 - 11*q + q**2 - 47\/3*q**3. Let k be b(8). Round k to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 3*s - 108, -4*s = 2*k - 7*k + 153. Find the second derivative of -14 + k + 32*d**2 - 4 + 4*d wrt d.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11209596559 rounded to three dps?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 27*h**2 + 11*h - 4. Let k be s(1). What is the second derivative of -k*u + 3 + u**4 + 427*u**3 - 3*u**4 - 427*u**3 - 54*u**2 wrt u?\nAnswer: -24*u**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87208?\nAnswer: 2, 11, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 551.047711 to two dps.\nAnswer: 551.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*y**3 + 1332*y**2 - 3345*y + 50 = 0 for y.\nAnswer: 2\/133, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10893, -11143, -11389, -11631, -11869, -12103, -12333?\n\"Answer: 2*k**2 - 256*k - 10639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 - (-6)\/(-2) - 4. Let y(s) = -4*s**u + 4*s**2 - s + 5*s**3 - 6*s**2. Suppose 2*n = 3*x - 2, -n - 4*n = 4*x - 18. What is y(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 12*h - 18955. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*x - 6009, -x + 5*x = 4*q + 8004. What are the prime factors of x?\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(1 + 2 - 2)*(-3*x + x + 3*x)*(-38*x**2 - 100*x**2 + 34*x**2).\nAnswer: -104*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -8*3\/(-4)*2. What is the greatest common divisor of 16 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*x - 15. Suppose 17 = x*f - 10. Calculate the remainder when 54 is divided by -6*(-4 - (-15)\/f).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -482 + 616. Calculate the remainder when p is divided by 43.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 330*o. Let c(y) = -5*y**2 - y. Determine b(c(m)).\nAnswer: -1650*m**2 - 330*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(2*p - 5 + 5) - 3*p + 4*p - 8 - 4*p + (-p + 0 + 0)*(0 + 1 + 1) + 1 + p - 1.\nAnswer: -6*p - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 23*m**3 + 340*m**2 - 5*m + 34. Let j(z) = -8*z**3 - 113*z**2 + 2*z - 12. Determine 17*j(h) + 6*q(h).\nAnswer: 2*h**3 + 119*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 493055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.956304 milligrams?\nAnswer: 0.000000956304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2112971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -276213 or -276216?\nAnswer: -276216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = p - 11, 5*p - 5*t + 3 = -t. Let u = 2 + p. What is the hundreds digit of ((-9)\/u)\/((-6)\/350)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 5*s - 19, -1326 = -2*d + 5*s - 1348 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1333, -1334, -1345, -1372, -1421, -1498?\n\"Answer: -b**3 + b**2 + 3*b - 1336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -308 - -533. Let h be (-8)\/45 - -10*(-5)\/t. Which is the closest to h? (a) -3 (b) -4 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3 - 3*h**2 - 3\/2*h**3 + 3\/2*h = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rba when three letters picked without replacement from aqrqaqaqqqbraqq?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/(sqrt(24)\/sqrt(3)))**2 - sqrt(12)) + -5 - (-5 + sqrt(12) - -1*sqrt(243))**2.\nAnswer: -381 + 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49906460*p**5 + 1490017*p wrt p.\nAnswer: -998129200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 1 - 2 + 3 + 13*a. Calculate the remainder when o(3) is divided by 93\/21 + -4 - 190\/(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide (-4)\/(-2) + -6 + (-12 - (-5828 + 16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 3*d - 2. Suppose 145 = 58*g - 29. Let p(x) = 4*x**3 + 8*x + 5. Give g*p(b) + 8*j(b).\nAnswer: 4*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + -155.5. Let t = -130 - w. Let o = 37 - t. Put -0.8, o, 0.3 in decreasing order.\nAnswer: 0.3, o, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 8:24 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 8. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 326 + -5?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 2:25 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 5. Let u be z(-3). Suppose -t + 1 = -u. Let b(x) = -x**2 - x + 22. Let k be b(0). Solve -t*m - 3*j = -5*j + k, 2*m - 12 = -4*j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 223 + -103. Suppose 0 = -12*w + 16*w - v. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 27*s**2 - 108*s + 553. List the prime factors of r(-40).\nAnswer: 48073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 40, 78, 18, -248, -828?\n\"Answer: -18*m**3 + 59*m**2 - 13*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z**3 + 5*z**3 + 27*z**3 - 4*z**3.\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 n, and 1 x when four letters picked without replacement from {x: 4, n: 2, m: 3, w: 6}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 244431466?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9061969360 to the power of 1\/8, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(22) + sqrt(22)*2))\/sqrt(11)*3.\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, g: 3, h: 1}. What is prob of picking 1 t and 2 g?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 127269.873 to the nearest 100.\nAnswer: 127300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 124 + -118. Let x(z) = 4*z**2 - 2*z - 13. Is 24 a factor of x(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-27) + 76\/(-1197)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41 - 31?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132003300 (base 4) to base 8.\nAnswer: -360360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**6\/360 + c**5\/20 + 7*c**4\/24 + c**3\/6 - 4*c. Let p(b) be the second derivative of a(b). Is 7 a factor of p(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 270*x - 4320. What is d(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 706790869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 + 2*p - 2. Let i be (10 + -4)*2\/(-6). Let b be s(i). Which is bigger: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -0.1, -2, -0.5, 1.15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-154))\/((-848742)\/(-50456)).\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 8391?\nAnswer: 8\/2797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 8*w**2 - 12*w.\nAnswer: -w*(w - 6)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -28*f**3 - f - 1. Let a(m) = 55*m**3 + 2*m + 2. Let p(v) = 2*a(v) + 5*x(v). List the prime factors of p(-1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 29. Suppose 0 = -n + 3*h + 137, 2*n + 2*h - 214 = 20. What is the remainder when n is divided by p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 240*y + 28486. Calculate s(-87).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/4, 4, -1\/9, 109 in descending order.\nAnswer: 109, 4, -1\/9, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/19)\/(c*c\/(c*((c**(-1\/2)\/c)\/c)\/c)))\/(c*c**(1\/3))**(-1\/11) assuming c is positive.\nAnswer: c**(-5623\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137 divided by -46.\nAnswer: 137\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-one quarters of a century?\nAnswer: 12300","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 2067, 2076, 2083, 2088, 2091, 2092, 2091?\nAnswer: 2088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400825 = 32*t - 7*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/(1\/33*-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/2832 and 43\/80.\nAnswer: 14160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 j, and 1 p when three letters picked without replacement from papaajp?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**3\/3 + q. Let n be a(-1). Suppose 3*z - 2*z - n*h - 3 = 0, 3*z - h - 24 = 0. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200981.\nAnswer: 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + j - 207 = -198, -4*j = -65*q + 68*q - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 1. Let g be i(-3). Let w(l) = 10*l**3 + 19*l**2 + 7*l + 13. Let z(k) = -3*k**3 - 6*k**2 - 2*k - 4. Let j(n) = 2*w(n) + 7*z(n). Give j(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r. Let p be m(4). Let v be (-4460)\/(-40) + (-6)\/(-12). What is the greatest common factor of v and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*o**5 - 10*o**5 - 2*o**3 - 17*o**5 + o**4 + 4*o**5 - 3*o**4 + 3*o**4 + (0*o**4 + 2*o**4 + 0*o**4)*(o + 4*o - 3*o) - o**5 + 5*o**5 - 3*o**5.\nAnswer: 7*o**5 + o**4 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(112) - (1 + sqrt(112))) - sqrt(112) - (2 + sqrt(112) + sqrt(112) + 1*sqrt(112)))*2)**2.\nAnswer: -256*sqrt(7) + 7184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 z when four letters picked without replacement from {i: 2, z: 2, c: 7, w: 3, a: 3, e: 1}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69578.77 minutes to milliseconds.\nAnswer: 4174726200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1298.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36576 divided by -381.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 2:45 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 - 3625 + 3*f**3 - 7*f**3.\nAnswer: -4*f**3 - 3721","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 0.1, 428 in descending order.\nAnswer: 428, 1\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -139*v**3 - 3*v**2 - 8*v - 3. Let l(m) = -254*m**3 - 6*m**2 - 15*m - 6. Let d(j) = 11*c(j) - 6*l(j). What is d(-2)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.01 + 4.01. Let g = 0.6 - 1. Which is the smallest value? (a) -2\/3 (b) g (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136311918 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -16*a**5\/5 + 4*a**3 - 2*a**2 - 4. Solve n(z) = 0 for z.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2. Let a = 1960.05 + -1960. What is the nearest to k in -2, 0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -36, 4182, -3 in descending order.\nAnswer: 4182, 4, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 11*c = 0. Suppose -57 = y + 5*o, c = -0*y - 3*y - 5*o - 121. Let s be (-16)\/y - 13\/(-2). Which is greater: -3\/2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 16. Let f be q(11). Let y = -26 + f. Let s(h) = -h**3 - h**2 - 2. Let d be s(0). Put y, -1, d in decreasing order.\nAnswer: y, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3100 at most 3101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03595 minus 0.05?\nAnswer: -0.01405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-56)\/(-24))\/(1\/3). What is the greatest common divisor of j and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 7*z**2 + 5*z. Let t be p(-5). Let i = 8 - t. Let v = -12 - i. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33027432 is divided by 707?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/33 + (-2 - (-52)\/3). What is the closest to 2 in l, 1, 0.5, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 4*s**2 - 3*s - 2. Let o = 1464 + -1466. Determine m(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/18*36\/(-40).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t*t*t**3*t)))**18)**(-48))**(-12\/7) assuming t is positive.\nAnswer: t**(62208\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8638520 divided by 6380?\nAnswer: -1354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-12))\/(2\/(-4)). Let h = 0.09 + 29.91. Let g = h + -29.9. Sort f, -1\/12, g.\nAnswer: -1\/12, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*q - 7226 = 329*q - 2282 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven fifths of a litre in millilitres?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**2 - i + 2. Let p be ((-2)\/5)\/((-2)\/10). Let z = -34196 - -34202. What is the remainder when j(p) is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 divided by -37\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 2. Let p(d) = -d**3 + 4*d**2 - d - 1. Let s be p(3). Let m be j(s). Suppose 7*n = m*n + 12. Which is smaller: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v**2 + 6*v + 5 - 5*v + 2*v**2 + 2*v**2. Let w be x(0). Solve 2*s + w*y = -20, 8 = -2*s - 4*y - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a week?\nAnswer: 20160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -221, -432, -643, -854, -1065, -1276?\n\"Answer: -211*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 9*l + 9. Let v be g(-7). Let j = 0.2 - -0.3. Suppose -4*z - 3 = -7*z. What is the nearest to -1\/4 in j, v, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1239)\/6*390\/(-1365) + (-336)\/16.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.752? (a) -476 (b) -1 (c) 0.5 (d) 2\/5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 982 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: Simplify ((sqrt(28) + -1)**2 - sqrt(7)) + sqrt(847) + (sqrt(847) - sqrt(847)*-3).\nAnswer: 29 + 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73 and 3869?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 9*n - n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j + 25 - 5. Suppose -2*f - j*x + 106 = 0, 2*f - 96 = 4*x + 16. What is the remainder when f is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (4 - 16 - 9).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*u - 38*u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2031010 (base 4) to base 16.\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 2:15 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4 - (-78)\/(-117).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 31. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 121148 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 - 61*l + 322. Calculate the remainder when 1427 is divided by a(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 6.6. Which is the closest to -1? (a) 0.3 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 10:09 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5291568 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {u: 2, p: 5, s: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55962 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3*(-12)\/16. What is the nearest to -1\/32 in 3\/7, 4\/7, c?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54240 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288550*v = -288535*v + 210 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67146 or -67350?\nAnswer: -67350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-250 - 28)\/(1\/(-2)).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2604 and 96.\nAnswer: 20832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p - 11. Let w = 10 + -6. Solve -2*t + w*t + p = 2*y, -5*y = -4*t - 17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 148 = 2*y, -5*y - 4*l - 116 = 209. Let b = -67 - y. Solve -b*p = -1 - 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/13))\/h)\/h**(2\/3)*((h**(-3\/14)*h)\/h)\/((h\/(h**10*h))\/h) assuming h is positive.\nAnswer: h**(5483\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000012228 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2003 divided by -18?\nAnswer: 2003\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283 + 841 - 31*p - 270 - 288.\nAnswer: -31*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1256336408?\nAnswer: 2, 157042051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c - 2*c + 4*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 379360678?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 13.\nAnswer: -11\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 347920 divided by -8.\nAnswer: -43490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j + 35. Let q be b(37). What is the third biggest value in -2, 3, q, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*p + 11428, 4*p - 3*v - 3870 = 7528. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.27, 688, 1\/4?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*r + 33. Let l = r + -21. Let j = 3.6 + 0.4. Sort l, j, 0.1.\nAnswer: 0.1, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + -35 + 226 + -209. Let z(m) = -m**2 - 14*m + 40. Determine z(b).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -8. Let u(c) = -2*c**2 + c + 1. Let q be u(v). Is 13 a factor of (-1)\/q + 100\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2231 + 2231.1. What is the second smallest value in i, -80, 8, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2395*m - 109880 - 29030 for m.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4\/17, 2, -2\/5, 39 in decreasing order.\nAnswer: 39, 2, 4\/17, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -11 - 4. Suppose 0 = -696*x + 692*x + 80. Calculate the remainder when x is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1908*k**2 - k + 13. Let q(s) = s**2. Calculate z(q(f)).\nAnswer: -1908*f**4 - f**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 628 = 4*y, 5*s - y = -502 + 1995. Calculate the highest common divisor of 555 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001162 to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 6 = 4*c. Let z(x) be the first derivative of -2 - 5*x - 1\/2*x**c. Determine z(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 7 + 8 = 0. Let p be 27\/(-18)*16\/s. Suppose 0*l + 4*l + 5*x = 22, -14 = -2*l - 4*x. Solve -l*h = -5*h + p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*f + 3 = -2*f, s - 1 = f. Let x be (-32)\/(-10)*s*4. Suppose 28*q = 33*q - 80. Calculate the highest common divisor of q and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 204087 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 145\/(-754)*3\/((-75)\/(-20))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23899265 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -193*a**5 - a - 35 wrt a?\nAnswer: -3860*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12332370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (40\/90)\/1*6\/(-8)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*s**3 - 35*s**3 + 25*s**3.\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 4*g + 5. Let s(c) be the second derivative of c**4\/12 + c**3\/6 - 3*c**2\/2 - 2*c. What is the remainder when s(5) is divided by a(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f**3 + 5*f**2 + 7*f + 5. Let j(l) = 5*l**3 - 4*l**2 - 6*l - 4. Let k = -5 + -6. Let w = 6 + k. Calculate w*j(a) - 4*n(a).\nAnswer: -a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.237 - -0.037. Let u = r + 7. What is the nearest to -0.2 in u, 2\/3, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -6, -4, -1\/53, 2\/7, -2.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 3 + 2)*(-1 + 0 - 1)*(2*u - u + 0*u)*(-1 + 1 + 1).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 270 or -1.17869?\nAnswer: 270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 + 5*q**2 + 2*q - 3. Give l(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22780 divided by -170?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8913, -8848, -8757, -8634, -8473, -8268, -8013?\nAnswer: -7702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3763301 is divided by 36536.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**3 - 7*y**2 + 10*y + 3. Let p be s(4). Suppose 190*r = p*r + 669. Calculate the remainder when r is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32753759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 340\/(-204)*(-2)\/5. Let d be 27\/4 - 1\/(-4) - -4. Let q = 1 + 2. What is the nearest to d in 2, j, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -6. Let t = -0.07552 - -0.47552. What is the closest to 2 in t, -5, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -10, -1, 100, 5, -13, -9 in decreasing order.\nAnswer: 100, 5, -1, -5, -9, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 131228858490131\/33750244 - -1071\/3068204. Let r = -3890836 + k. Let d = r - -2604. Calculate the common denominator of 18\/7 and d.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 15\/5 + 2. Suppose -z*l = l - 16. Let y(r) = -r + 1. Let w(u) = 5*u - 2. What is l*y(g) + w(g)?\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101 (base 7) to base 6.\nAnswer: -3224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, 8, -2\/3, -8.8, -0.2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + h**2 - 4*h - 3. Let t be p(-2). Let i = 1\/12828 + 10135723\/6414. Let a = 1581 - i. Which is smaller: a or t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 - 105 + 61 - 191.\nAnswer: -2*u**2 - 235","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22297874.\nAnswer: 2, 1217, 9161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15843 = -t - 624*c + 622*c, 3*c = -2*t + 31681. Does 223 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 451*t**3 - 197*t**2 + 3*t - 6*t + 4*t + 542*t**2 + 329*t**3 wrt t?\nAnswer: 4680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 4\/9, 8916 in increasing order.\nAnswer: -0.7, 4\/9, 8916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 12:35 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.626 + 0.83. Let h = -0.096 - y. Let p be (0 + -1)*5 - -1. Put p, 3, h in ascending order.\nAnswer: p, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 4) to base 14\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 597 - 592. Factor 1\/2*d**4 + 0*d - 1\/2*d**y + 0 - 1\/2*d**2 + 1\/2*d**3.\nAnswer: -d**2*(d - 1)**2*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k**2 - 151 + 303 - 152.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3686 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 409147, 818275, 1227355, 1636363, 2045275, 2454067, 2862715, 3271195?\nAnswer: 3679483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 48*m**5 + 168*m**4 + 219*m**3 + 129*m**2 + 33*m + 3 = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyliiiuyjiuiicjji. Give prob of picking 1 u and 2 i.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29.0207 + 0.0207. Sort 0.4, k, -5, -0.3 in ascending order.\nAnswer: k, -5, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -739, -730, -719, -706, -691, -674?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-3 + 2) - -1 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/2 + 47*f**2 - 255*f\/2 - 819.\nAnswer: -(f - 91)*(f - 6)*(f + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y**4 - 37*y**2 - 2*y + 3611. Let r(m) = -m**4 - m**2 + m + 5. Let t(l) = -k(l) - 5*r(l). Find the first derivative of t(x) wrt x.\nAnswer: -4*x**3 + 84*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-140)\/630)\/((8\/9)\/(-2)). Factor -1\/4*t**3 + 1\/4*t**4 + 0 - m*t**2 + 0*t.\nAnswer: t**2*(t - 2)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 92045485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -79625 + -0.28\nAnswer: -79625.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -10474.4 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98103760 divided by 80.\nAnswer: 1226297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -360 + 376. Let b(l) = -26 + l + k + 11. Let s(u) = -4*u - 4. Give 18*b(f) + 4*s(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*c - 3*c. Let l = 76 + -72. Sort l, -1, c.\nAnswer: -1, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -833*d**2 + 352*d**3 - 1049*d**3 + 353*d**3 + 345*d**3 to the form j + w*d**2 + u*d + r*d**3 and give w.\nAnswer: -833","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-10)*2*-10. What is the greatest common factor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/1*-2*1. Let p be (-2)\/(-6) - 35\/(-3). Suppose 5*d - p + t = 0. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + r - 4*r)*(-5404*r - 1181*r**2 + 5404*r).\nAnswer: 2362*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -17854 not equal to -17855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/2, -158, -120, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 2:21 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/153 and -61\/1347930.\nAnswer: 1347930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2383783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 155859099005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t**3 + 0*t**3 - 3*t**3)*(0 - 2 - 2) - 5383*t**2 + 5383*t**2 - 195*t**3 in the form s*t + y + a*t**3 + c*t**2 and give a.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1624 and 0.028.\nAnswer: -1623.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 696.4338 meters?\nAnswer: 696433.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 507 + -13509?\nAnswer: -13002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 7*n. What is g(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*h - 955 + 2728 = 306*h - 1935 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9472487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*c - 210*c = -2*j + 8, 5*j = -c - 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2264 is divided by 381?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 194*w. Let f(g) = -34*g + 3. Calculate f(x(m)).\nAnswer: -6596*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*sqrt(1088) - sqrt(1088))*-1 - sqrt(1088)) + sqrt(1088))**2.\nAnswer: 53312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 141916 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 v when four letters picked without replacement from {v: 8, k: 3}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = m + 12*i - 15, -m = -4*i + 25. Suppose z = -z - 2. Suppose -2*y - 14 + 10 = 0. Put y, z, m in descending order.\nAnswer: z, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/672 and 157\/960?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 32 + 182 = -5*c, 9 = -c + 4*a. Let t be (0 + 1*7)\/(c - -28). What is the third biggest value in -3, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 2*j**2 - 5*j - 4. Let n be h(-2). Suppose w + 4*c - n = 4*w, -2*w - 2*c = -10. What is the tens digit of w\/6 + (-1524)\/(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37696*165\nAnswer: -6219840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 9*g - 6. Let r = -10 + 20. Let q be s(r). Suppose 9 + q = h. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4169 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 2:07 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 6*a**2 + a + 5. Suppose p + 4*i - 14 = 0, 3*p - 2*i - 10 = 2*i. Does 9 divide d(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + (1*(-2 + sqrt(2057))*3 + 0 + -4 + sqrt(2057) + 0)**2.\nAnswer: -880*sqrt(17) + 33010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/(-10626)*-22 - (-11)\/(1386\/(-464))?\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -49*u**3. Let t = -270 + 287. Calculate the remainder when l(-1) is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((264\/15)\/(-11))\/(2\/(-5)))\/(-7)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26 + (48 - 88) - (1 + -13)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -82, -128?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8967 - 66*p + 18241 - 9276.\nAnswer: -66*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*q - 6*l - 116, -3*q - 4*l = -80. Suppose -18*a + q = -8. Solve 3 = a*m - 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6374 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.2761 to the nearest integer.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 12*u - 4928. Let j = -5 - -9. Calculate the smallest common multiple of j and (-45)\/30*u\/(-3).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2069 - -3009. List the prime factors of f.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 4:07 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22578979\/3401526 - -2\/58647. Let w = -4\/29 + u. Find the common denominator of -97\/22 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84951945.\nAnswer: 3, 5, 13, 19, 7643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 - -17. Let g = -8 - b. Suppose 0 = 4*m - g. Solve m = 2*c - 0*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05263 + 3.\nAnswer: 3.05263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-15)*2\/(-4)*-18. Suppose -3*o + 27 = -3*m, -4*o - 2*m - w + 18 = 0. Suppose 5*u + 2402 = -2*a + o*a, 0 = 5*a + 3*u - 4060. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(200) + (sqrt(72)*2 + sqrt(72) - sqrt(72) - sqrt(72) - sqrt(72)))**2.\nAnswer: 20*sqrt(2) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, 2\/17, -9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2330, 4765, 7730, 11225?\n\"Answer: 265*k**2 + 1640*k + 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 822346433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, j: 3, y: 3, l: 2, d: 1, v: 2}. What is prob of picking 1 d, 1 j, and 1 l?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4810*i = -4812*i + 354. What is the highest common divisor of i and 1888?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (4 + 1 + 7 + -8) - 17?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 8*k = 75. Let w(o) = -3*o - 4. Give w(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.80014g to nanograms.\nAnswer: 4800140000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, a: 8, g: 6, t: 1}. What is prob of sequence gte?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.22*0.4133\nAnswer: -0.090926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.626582 minutes to nanoseconds.\nAnswer: 337594920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 63 = -36. Let n = d + 31. Which is smaller: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88776 and 162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2239537 is divided by 1119768.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831056?\nAnswer: 2, 51941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/60022 and 17\/22.\nAnswer: 660242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o**2 - 1. Let u be n(-1). Let h be ((-69)\/6)\/((-1)\/2). Suppose -u*q = -h - 27. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 5:00 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 60 = 2*r. Let n = -31 - -61. Calculate the greatest common divisor of r and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104.7 + -105. Which is the second biggest value? (a) -5 (b) o (c) 1\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 14. Let m(n) = 3 - 3 - 4. Let c(y) = -14*m(y) - 4*v(y). Let r(f) = -f. Let d(o) = -2*c(o) - 7*r(o). Let b(s) = 4*s. Calculate d(b(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 6*v**2 - 11*v - 5. Suppose -15 = 3*p + 30. Let w(t) = t**2 + 16*t + 8. Let i be w(p). Does 22 divide g(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 8:27 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qo when two letters picked without replacement from {y: 3, d: 2, o: 2, q: 4, l: 2}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 23232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*b + 279 = -278 + 151 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwsssswsrwrrrrsri. What is prob of sequence ss?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/15*15\/42. Let z + 45\/7*i**4 - 12\/7*i - 43\/7*i**2 + 6\/7*i**3 = 0. What is i?\nAnswer: -2\/3, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -56.9925 from -3.05.\nAnswer: 53.9425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 371828417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 392.564937 from -1.5.\nAnswer: -394.064937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 25 - 5. Let v be (-2)\/(-3) - 484\/c. Let h = 201 + v. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 3. Let k(c) = 2*c**2 - 22*c + 16. Let u = -124 + 134. Let w be k(u). What is q(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 43*p**2 - 140*p + 121. Give a(46).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 5*l**2 + 3*l - 3. Let c be h(4). Suppose 3*z = 4*b - 59, 2*b - 3*z - c = -0*b. What is the greatest common factor of b and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = c + 3, -4*c + 0 + 10 = -3*s. Let j be (1 + 3)*s\/(-4). Let v be (1 + 5)*j\/(-3). Let z(w) = -w**2 - 5*w - 2. Determine z(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 18*n + 2. Let s(o) = 19*o + 30. Let q(f) = -7. Let u(k) = 4*q(k) + s(k). Determine 5*d(z) - 4*u(z).\nAnswer: 14*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 63269.7?\nAnswer: 63269.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*f = -10, 2*f = -2*s - 2 + 4. Factor 2\/3*n**s + 4\/3 + 10\/3*n + 8\/3*n**2.\nAnswer: 2*(n + 1)**2*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4876 by -2.\nAnswer: 2438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8\/10*2*(-3)\/12\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**2\/2 - 384. Let m(z) be the second derivative of -z**4\/12 - 10*z. What is m(j(h))?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (76\/(-6))\/1*(-9)\/30. Let a be 34\/16 + ((-42)\/48)\/7. Suppose 5*n = -x - 3 + 30, -21 = -5*n + a*x. Which is smaller: i or n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -10, -31, -104, -247?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 21*i + 80. What is w(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 4. Let k be c(2). Let m be 2\/4 + (-27)\/k. Let b = 22 - m. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0559002691 to 5 dps.\nAnswer: 0.0559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -3*i**5\/25 - 51*i**4\/4 - 1761*i**3\/5 + 6063*i**2\/10 + 11094*i\/5 - 7104. Let m(b) = 0. Calculate b.\nAnswer: -43, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-23 - (20 + 6) - (-7 + 8 - 8))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 - 41. Solve x*o + 9 + 7 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 1201?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, 3, 2, 827, 112, -2 in decreasing order.\nAnswer: 827, 112, 77, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 13*m - 7. Let l(d) = 11*d - 6. Calculate -5*h(i) + 6*l(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 1. Let a = 6 - 5. Let g(d) = -10*d - 14. Let k(l) = a*g(l) - 3*m(l). Find the first derivative of k(n) wrt n.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1764) - -1*(-2*sqrt(1764) + sqrt(1764) - sqrt(1764)))\/(2*sqrt(7)*4 - (sqrt(28) + sqrt(56)\/sqrt(2))\/sqrt(4)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + ((sqrt(2673) + (sqrt(2673) - -4*sqrt(2673)))*-1 + sqrt(2673))\/(4*sqrt(891)*-6)).\nAnswer: -24 + 5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2\/17, -6, -1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -73683, -294684, -663019, -1178688, -1841691, -2652028?\n\"Answer: -73667*c**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 0*r + 0*r**2 + 8 + 0*r**4 - 4\/3*r**6 + 0*r**5 + r**3. Find the third derivative of v(m) wrt m.\nAnswer: -480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 14*h - 43. Let o be f(10). Which is the biggest value? (a) 1 (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369895.\nAnswer: 5, 29, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001275 to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3\/5 - 174*w**2\/5 - 8769*w\/5 - 99856\/5 = 0. What is w?\nAnswer: -79, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 6:32 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**5\/20 - s**4\/4 + 4*s**3 - 23*s**2\/2 - 9*s. Let f(r) be the first derivative of p(r). Factor f(v).\nAnswer: -3*(v - 2)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 10 = 5*y, -y + 0 = -q - 2. Let n(g) = 3*g**2 + 10. Let m(k) = -k**2 - 3. Give y*n(t) + 7*m(t).\nAnswer: -t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 188961388 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 1\/(-3)*0. Let l be 46\/(-14) + p - 90\/(-21). Solve 3*i - 12 = 3*h - 0*i, -2*h = -i + l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9724 and 24684.\nAnswer: 320892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 8*x - 2. Let q be d(0). Let n(m) = 2*m**2 - 7. Let h(w) = -8*w**2 + 29. Give q*h(g) - 9*n(g).\nAnswer: -2*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -661 + 695.3. Let s = -10.3 + r. Let z = s + -24.5. Which is the nearest to z? (a) -5\/2 (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 14, -4, -8662 in ascending order.\nAnswer: -8662, -4, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3599*f + 1783*f + 1785*f. Let o(u) = -u + 101. Give o(m(l)).\nAnswer: 31*l + 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(7\/2)*y**(-29)*y*y\/(y*y*y*y\/(((y*y\/(y**(5\/8)*y))\/y)\/y))*y**(-32) assuming y is positive.\nAnswer: y**(-489\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22138631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51366 is divided by 1384.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/3 - 429\/(-117). Solve -h*z - 5*t = -11 + 46, 5*z - 5*t = 15 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 21*t**3 + 9*t. Let d(h) = 22*h**3 + 8*h. Let q(s) = 6*d(s) - 4*w(s). Find the second derivative of q(y) wrt y.\nAnswer: 288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*m + 2032665 = 0, i + m = -442165 - 235380. Round i to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 1. Let t = 38 + h. Let j = 32 - t. Is -3 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + (sqrt(833) - sqrt(833)*-1))**2 + -1 + sqrt(1088).\nAnswer: 8*sqrt(17) + 7496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, n: 3, u: 12}. Give prob of sequence nqu.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 554 or 2766\/5?\nAnswer: 2766\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -1643167 and 41935.\nAnswer: -1601232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r - 2. Give s(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -194482 (base 14) in base 10?\nAnswer: -895442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6575*r - 7862. Let d(p) = -1646*p + 1965. Let c(g) = 2*b(g) + 9*d(g). Differentiate c(s) wrt s.\nAnswer: -1664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 134?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -53521*u - 2576. Let m(b) = -669*b - 32. What is -6*d(p) + 483*m(p)?\nAnswer: -2001*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 763*i - 652. Let h be s(6). What is h rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*d**3*o**2 + 2*a**2*o**2 - 33*a**2 - 36*a*d**3*o**2 - a*d*o**2 + 2*a*o - 3*d**2*o**2 - d**2*o wrt a.\nAnswer: 4*d**3*o**2 + 4*o**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h - 14*h - 12 = -40*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 238.2 - 198. Let t = 44 - l. What is t rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29115 = -113*r + 98*r. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50516763 divided by -543191\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15.1 - 15. Let k = -6.2 + 2.2. What is the nearest to 1 in a, 0.3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*s - 4 = 0, -s + 4 = 5*p - 24. Does 2 divide 3 + -4 + (p - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3 - 6*q**2 + 45*q + 50 = 0. Calculate q.\nAnswer: -10, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1142763 and 2384103?\nAnswer: 3651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.65 - 2.2. Let i = -0.15 + a. Let r = i - 0.7. Sort 6, 0.5, r in decreasing order.\nAnswer: 6, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37 and -1.462576.\nAnswer: 54.115312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 56550.23t?\nAnswer: 56550230000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1536014 and 5819546?\nAnswer: 413187766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(2 + 2*w - 2) + 0*w - 2*w + w - 260*w + 107 - 203 + 97.\nAnswer: -265*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*k - 82 = 33*k. Suppose -58*n**2 + 53*n - 23*n - 27 + 51*n - 35 - 2*n**3 + k*n = 0. Calculate n.\nAnswer: -31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 4:17 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/192 or 1140106?\nAnswer: 1140106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3130 + 6253 + 10*n**2 - 16*n - 3068 - 14*n**2. What is p(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9173 - -9173.4. Which is the nearest to 0.4? (a) n (b) 2\/7 (c) -0.16 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**5\/20 + 5*r**4\/4 + 11*r**3\/6 + 11*r**2 + 10*r. Let q be z(16). What is the tens digit of -3 + 0 + 2 - (q - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 2*p**3 - 67 + 223 + 394 to the form b*p + k*p**3 + s + i*p**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25*(-6)\/(-90)*(-1)\/10.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in milligrams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -316 - 914*s + 954*s - 21.\nAnswer: 40*s - 337","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 365254301?\nAnswer: 365254306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 5*m. Suppose m = 3*c - 24 - 39. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15450 and 450?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -5, 84, 19, 1 in decreasing order.\nAnswer: 84, 19, 1, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8108397\/102977 - -26535\/313. Let s = -42\/47 + o. Let -24\/7*h - s - 4\/7*h**2 = 0. What is h?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 s when three letters picked without replacement from jjsjjjjjjjjsj?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2.617, 4, 5?\nAnswer: -2.617","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -2. Let m be 26\/7 - g\/7. Solve -m*l + l + 6 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 + -69. Factor f*k + 2\/7*k**3 + 0 + 2\/7*k**2.\nAnswer: 2*k**2*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**4 + 1658*y**3 - 10034*y**2 - 11690*y = 0.\nAnswer: -835, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -27, -18, 5, 48, 117, 218, 357?\n\"Answer: t**3 + t**2 - t - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5d66 + 20?\nAnswer: 5d86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, c: 1, n: 2, k: 1}. What is prob of sequence cun?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9.069447 months?\nAnswer: 0.0075578725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 1, -17, -8?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-6)\/(-8)*-1. Let h = 3 + -1.7. Let n = h + -2.3. Put z, 13, n in descending order.\nAnswer: 13, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16*(25048\/(-128))\/(-101)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - 4. Suppose -h = l + 22, 5*h + 2*l = -26 - 72. Let d be (-15)\/6 - 2\/4. Let j be (-15)\/6 - d - h\/4. Give c(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354*k**2 + 271*k**2 - 156*k**2 + 55*k**2.\nAnswer: 524*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven eighths of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 29 = -1. What is the remainder when 48 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 176754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -10. Let q = 22 + o. What is the highest common divisor of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -557 + 135. Suppose 5*q = 49 + y. Suppose q = 2*n + 16. What is the least common multiple of n and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238 = 3*f - 4*h - 7*h + 275, -2*f - 1 - 7 = h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - -7. Sort l, -2, -3 in descending order.\nAnswer: l, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4500\/680)\/45*4\/(-5)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 8699925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**3 + 2*n + 2. Let c be (1 - 2)\/(6\/222). Let b = -38 - c. Let o be g(b). What is the greatest common factor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 3 - 2 + 3 + g**2. Let c be w(-2). Solve 10 = -4*s + c*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301417 times 205?\nAnswer: 61790485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -22. Suppose 4*n - 2*p = 18, 3*n + 6 = 5*n + h*p. What is the second derivative of 7*l**n - 11*l**4 + 19*l**4 - 29*l wrt l?\nAnswer: 180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.01 and 80.68.\nAnswer: 80.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 0*y - 2 + 1\/2*y**2. Let i be l(2). Solve i = -g + 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m. Suppose 5*w - 6 = -36. Let k(o) = -o**3 - 7*o**2 - 8*o - 3. Let v be k(w). Let p(z) = v*z - 23*z + 12*z. Give c(p(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1698 - 1700. What is the closest to -9 in i, -2\/9, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-5 - (3 + 4))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1411*m - 5*x = -1406*m + 45, 2*m + 22 = -3*x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 2*v - 10, -16*g - 4*v = -4*g + 52 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -228 (b) -2 (c) -5527.71 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8664335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3954320?\nAnswer: 2, 5, 49429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2 = 5*j + p, j - 3*p = 6. Suppose -o - o + 0*o = j. Solve h = -o - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s. Let d = -6 - -5. Let u be 35\/14 + d\/2. Let m(q) = 12*q**2 - u*q**2 - 9*q**2. Give j(m(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/32)\/((-81)\/(-306)*-17)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 14*b**2 - b - 3. Let k be t(-14). Let n = 13 - k. Let l(h) = -h**2 + h. Let d(c) = c**2. Determine n*d(j) + 3*l(j).\nAnswer: -j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003278005 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*a - 75*a = -44947000. Round a to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3384 = 351*q - 257*q for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 f, and 1 q when three letters picked without replacement from {a: 2, f: 1, d: 2, b: 2, e: 4, q: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -27, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 21. What is the nearest to 0.1 in 0.1, b, 8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4756 - -2847?\nAnswer: -1808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14077951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*k - 25*k + 7, 0 = -3*j - 2*k - 29 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*q - 1 = 0, 0 = -2*n + q + 2*q - 23. Let s be 7*(-1)\/n*48. Suppose -s = -m - m. Is m less than or equal to 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -802, -803, -804, -805, -806?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**6*j*j**6*j**5\/(j\/j**8*j)*((j**(8\/7)\/j)\/j*j*((j*((((j**4*j)\/j)\/j*j)\/j)\/j*j)\/j)\/j)\/(j*j\/(j*j\/j**(-5))*j**(-8)) assuming j is positive.\nAnswer: j**(274\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6936853704 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j = 15*j - 4. Let n(x) = 2 - 7*x + 10*x - 6 - j. Let d be n(3). What is the third biggest value in d, 1\/10, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1259434 or 1259421?\nAnswer: 1259434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 219323, 438646, 657969, 877292?\n\"Answer: 219323*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5034*y = 58183 - 17911 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008675524 rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 70\/(-6) - (-2)\/(-6). What is the tens digit of 2*3*(-32)\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 240779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/3)\/(5 + (-128)\/24). What is the lowest common multiple of (-1)\/x - 339\/(-12) and 44?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhuhuhhhhuhuhuhh. What is prob of sequence uhu?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -4)\/(-2) + (-2)\/(-2). Let -5*t**2 + 7*t**u - 4*t + 2*t**2 - 8 = 0. What is t?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/1457 and -97\/72756.\nAnswer: 2255436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 12527130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 280 and 696?\nAnswer: 24360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-21580)\/(-624))\/((-15)\/(-18)))\/(33\/(-66))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 10*n + 4, -117*b + 4*n + 4 = -114*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46 - -1) + -5 + -21?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*l + 10 = 2*l, 5*l = -2*h - 1. Let n(t) = t**3 - t**2 - 20*t - 4. Let f be n(5). Put h, -1, 0, f in increasing order.\nAnswer: f, h, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*p, -3*p - p = 5*j - 312. Suppose 5*v + 4 = j. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 356 and 623?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 + 4)\/(-1)*195\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -1. Let v(g) = 3*g - 7. What is v(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 300 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*u - 5323003 = 0, -36 + 31 = -5*u. Round m to the nearest 100000.\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1916*m**2 + 8928 with respect to m.\nAnswer: -3832*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 730843.4 millennia in months?\nAnswer: 8770120800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 2\/9, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0143741 rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q + 3. Let t(f) = -10*f - 170. Let m be t(-17). What is g(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gccc. Give prob of sequence ccg.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**2 + 73*l - 97. Let n be b(23). Let f = -2.9 - -3. What is the nearest to 0.3 in 1, n, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000120627531 to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -824 and -826 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16177368 by 6.\nAnswer: 2696228","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 + -0.2. Let g be 161\/4 - 1 - 62\/248. Let m be 43\/143 + (-2)\/g*-3. Is m > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17051821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2413*m**3*n**2 + 2*m**3*n - 1731*m**3 + 2*m + n**2 wrt n.\nAnswer: 4826*m**3*n + 2*m**3 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22807 = -3*l + g, 30384 = -12*l + 16*l + 5*g. What are the prime factors of l?\nAnswer: 11, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*p + 221*p + 245*p - 182*p.\nAnswer: 427*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {w: 1, j: 2, e: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*p - 4, 2*p = -0*p. What is the first derivative of 110*x**h + 19 - 72*x**4 - 68*x**4 wrt x?\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 727 divided by -9.\nAnswer: -727\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 + (-12 - -12) - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -119673, -119677, -119681?\n\"Answer: -4*v - 119669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15159128 divided by -103?\nAnswer: 147176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/248056 and 31\/2714072.\nAnswer: 833220104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -168*u + 1512. Let o be s(9). Solve o = 5*z + 4*j - 62 + 71, -5*j = 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 7*b**2 + 10*b + 12. Let d be t(-8). Let g be 31 + (-4 - d)\/(-1). Let o = g - 26. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18896, 18830, 18622, 18200, 17492?\nAnswer: 16426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g + 2. Let d(r) = 7*r + 5. Suppose -3*m + 29 = m + 5*y, -m - 14 = -3*y. Let k be (-1)\/(6\/8 - m). Calculate k*d(t) - 9*h(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**3\/3 + 4*w. Let u(f) = -3*f**2. Give u(t(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-500)\/(-25)*(558\/40)\/9.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 558, 0.4, 100?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 14 + 14 - 16\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = 5*b - a - 32, -b + 1 = 2*a. Are -41 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 321b3c82 - 3?\nAnswer: 321b3c7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/12 in -40, -0.3, 21, 4\/5, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 133 - 178. Let a = -45.2 - v. What is the nearest to 4 in -1, a, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 8, 0 in decreasing order.\nAnswer: 8, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -0.508.\nAnswer: 1.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**3 + 24*x**2 - 21*x + 5. Calculate h(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 18*f + 8. Suppose 3*n - 5*i = 62, -14*n + 16 = -13*n + 3*i. What is the remainder when t(n) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*g + 32, 25 = -8*q + 3*q. Suppose 0 = -2*i + 4, 2 = -4*f + g*i - 26. Which is the smallest value? (a) -0.3 (b) f (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001110000 - 111111?\nAnswer: -110010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 3. Calculate the least common multiple of (-3)\/(3 - 45\/12) and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2682 - -2683. Is y greater than or equal to -5\/524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*(sqrt(98) + sqrt(98) + 2*sqrt(98))**2*4*-3.\nAnswer: 94079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + -2)\/((-9)\/96). Let q = -17 - b. Solve -c + 2*m = 2*c + q, -c - 6 = -m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2726859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (819\/(-6))\/7*3280\/(-1230).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 14410*v - 28800.\nAnswer: -5*(v - 2880)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-3 + 2\/(4\/4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -1, 8103, 4 in ascending order.\nAnswer: -22, -1, 4, 8103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*h, -h = -101*t + 100*t + 121660003. Round t to the nearest 1000000.\nAnswer: 122000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30842?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 4:24 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22300 (base 4) to base 8.\nAnswer: -1260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 = -5*k - y + 182, 0 = -5*k - 4*y + 372. Let t = k + -50. Calculate the smallest common multiple of t and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8 = -0*s. Let x be (-12)\/54 + (4 - 60\/(-27)). Find the second derivative of -4*g**2 + g + 17*g - 39*g + x*g**s wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 313, 301, 289, 277, 265?\n\"Answer: -12*m + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 120467 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.663136 rounded to 3 decimal places?\nAnswer: 0.663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.8 - 0.2. Suppose 0 = -11*f + 4*f - 35. Which is the biggest value? (a) f (b) y (c) -4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2429\/(-2082)*6\/273?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*c - 19*c + 35. Put -11, -1, c, -2 in descending order.\nAnswer: c, -1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in 2, 5301, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5000 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**3 - 2 + 3 + 2*l**4 + 1 to the form m*l**3 + p + g*l**2 + y*l**4 + n*l and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 2. Let r = 4 + 0. Let h be x(r). Differentiate 0*s**h - 4 + 5 + s**2 wrt s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4034\/3 + (4\/12)\/1. Let j = -1137 + t. Let x be (-308)\/(-6) + 2\/3. What is the highest common divisor of x and j?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(56)\/(sqrt(8)*-1))*6)**2.\nAnswer: -288*sqrt(7) + 828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4 = 3*t, -v + 1 = -0*v - t. Let q be -1 - (2 - 1) - 4888\/(-2350). Do q and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l = -29*l + 64. Let t(n) = 8 - l + 207*n**2 + n - 209*n**2. Calculate t(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/15))\/(a*(a**4*a)\/a))**(3\/8) assuming a is positive.\nAnswer: a**(-29\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-18))\/((-1)\/(-3)))\/(2\/22).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1922 is divided by 1490?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 733 = -119*m - 60*m + 196 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16458 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (1 + -7) - 3. Suppose -x*f - 535 = 20. Let y = 23 - f. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91 + 19. Let k = -71 - u. Do k and -0.55 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 12:14 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*o. Suppose o*t = -2*t. Which is greater: 1\/7 or t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27979?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1151 times 1810\nAnswer: 2083310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q = -309 - 6306. What are the prime factors of q?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 54060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-105))\/(-15*(-8)\/600)*1932\/(-18216)?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 222524 to the power of 1\/2, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6446 and -5.\nAnswer: -3.223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 1\/4, -0.4, -763182?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*o**2 - 2 + 2 + 16*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*u + 12 = 2*p, 0 = -4*p + u + 11. Suppose -4*f = -p*f. Solve -2*y + f*y + 4 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3*(32 + -8 - 3) is divided by -2 - (6*5)\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.041 + 0.459. Which is the closest to -0.3? (a) p (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five sixths of a century?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 3. Suppose -4*a - 3*f = -9190, 0 = a + w*f + 658 - 2962. Suppose 14*d - 6*d - a = 0. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**6\/120 - l**5\/20 + l**4\/12 + l**3\/6 + l**2 + 17. Calculate the lowest common multiple of 22 and p(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153965158 to the power of 1\/4, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 + 39.2. Let v = q - -7. Let n(o) = 2*o + 10. Let p be n(-5). Which is the second biggest value? (a) p (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.86377 to one decimal place.\nAnswer: -53.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -3, 2\/7, 1\/6, 59\/24, -5 in descending order.\nAnswer: 59\/24, 2\/7, 1\/6, -3\/4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-166*y + 166*y - 139*y**3 + 997*y**3)*((0 - 2 + 3)*(5 - 4 - 2) + 0 + 1 + 1 - 2 + 2 - 2 + 6 - 5 - 4) as q*y + t*y**2 + a + z*y**3 and give z.\nAnswer: -3432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sinnn. What is prob of sequence inns?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18948, 151541, 511436, 1212285, 2367740, 4091453, 6497076?\n\"Answer: 18942*o**3 - o**2 + 2*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 13368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 941145923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqq. Give prob of sequence qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + y = -10, -20 = -i - 3*i + 5*y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01 + -0.41. Let w = -36.29 + 36.69. Sort 7, g, 0, w in ascending order.\nAnswer: g, 0, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 142991 - 142675.555. Let j = 315 - x. Round j to two dps.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 394 + -331. What is the greatest common factor of a and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4*b**3 - 6*b**3 + 7*b**3)*(4*b - b - 2*b).\nAnswer: -3*b**4 - 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*q**3 - 108*q**2\/5 - 16*q\/5.\nAnswer: -2*q*(q + 2)*(25*q + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 165.\nAnswer: -7\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*a**3 + 11*a - 11*a.\nAnswer: -97*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.82679 + 0.095785948?\nAnswer: 165.922575948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -25. Calculate the remainder when 65 is divided by (-21 + r)*(1\/4 - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151502947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5721 or 0?\nAnswer: -2\/5721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 218303 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {p: 1, b: 7}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 7:38 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - z**2 - 3*z + 1. Let r be g(3). Let j = r + -6. List the prime factors of (-748)\/(-20) - j\/10.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1441)\/262 - (1 + -2)*2\/1.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -22. Suppose f = -2*u + 1 + 5. Suppose -2*n - 3*v + 53 = 0, 2*v = -5 + u. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 b when four letters picked without replacement from ybybvvyvybyyb.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 4544828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/180, 14, -58\/5, 4, -0.1 in increasing order.\nAnswer: -58\/5, -0.1, 7\/180, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24330 - -24292.614. Let j = 36.9 + h. Let m = 0.014 - j. Which is the third smallest value? (a) 5 (b) -0.2 (c) 3\/4 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 797 and 58181.\nAnswer: 58181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -20.7. Let n = -12.5 - -10.5. Let x = n - j. Which is smaller: x or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 166 = -151. Let y(f) = f**3 + 21*f**2 + 11*f + 24. Let n be y(-19). Let g = n - q. Does 20 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1002, 976, 938, 882, 802?\n\"Answer: -a**3 - 19*a + 1022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -6 - 1) + 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.168111 * 1.1\nAnswer: -0.1849221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93026 - 19*r + 3*r**3 + 0*r**3 + 4*r**3 - 93028 - 3*r**3 + r**2 to the form l*r**2 + k + w*r**3 + b*r and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/166440893?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22148 + 7383 + 7381 + 7384 + 2*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-13)\/(-6515)) - (-128)\/(-832). Let p = h - 281. Is p a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 899 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m - 3. Let d be v(1). Let k(w) = -w**2 - 9*w + 3. Let o be k(d). Suppose 0*c - 60 = -c + y, 3*c - 204 = -o*y. Does 22 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004131453 to 6 decimal places.\nAnswer: -0.000413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1941*d**5 - 16377*d**4 + 4*d**2 + 7590163*d wrt d.\nAnswer: -116460*d**2 - 393048*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 56*q + 1. Let d(s) = -s + 1. Let r be d(0). Let z be f(r). Let k be (-4)\/(-8 - 750\/(-95)). Calculate the highest common factor of z and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/5*1\/(-12)*48\/36?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1928 and 474047?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-30)\/9)\/(6\/(-342)). Suppose g = q - 136. Let t be 10\/((-200)\/15)*(-80)\/g. Which is bigger: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**6\/12 + 19*w**5\/60 - 32*w**2. Find the third derivative of h(r) wrt r.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**3 - 13*c**2 + 17*c + 81. Give v(-8).\nAnswer: 649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 5:54 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s. Suppose -10 = 2*c + 46. Let z be 12\/c - 18\/7. What is u(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-48)*12\/(-40)*-20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 144*o**2 - 15*o + 13. What are the prime factors of m(3)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2. Let a(w) = -2 + d*w + 3 - 2. Determine a(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20817, 20814, 20811, 20808, 20805?\n\"Answer: -3*p + 20820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.7767 rounded to one dp?\nAnswer: -67.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -94. Suppose 0 = -3*x - 4*i + q, -3*x - x + 80 = i. Solve t - 5*t = x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 5*p + 140. Let u = p - -29. Suppose -4*s - u + 13 = 0. Let m(z) = -z**2 - 3. Let d(n) = 6*n**2 + 16. Calculate s*m(q) - 2*d(q).\nAnswer: -q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 328 + -601. Let i be l\/(-11) - (-6)\/33. Let d be (-2 + 10\/3)\/((-1)\/(-75)). Calculate the highest common divisor of d and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 11*p - 45, 3 = -5*a - 3*p + 43 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -1110*q**3 - 65*q**2 - 130*q - 8670. Let x(f) = -101*f**3 - 6*f**2 - 12*f - 788. Let g(r) = -6*c(r) + 65*x(r). Differentiate g(n) with respect to n.\nAnswer: 285*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 x when four letters picked without replacement from ddxddxddxddd.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8903 - 8900. What is the third biggest value in g, -2, 0.04, 90?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 17*a + 56. Let j be k(-16). Is j < 73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 844681612 to the nearest integer?\nAnswer: 29063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from ubuedhhhbcuu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from bbbtbbt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-18) + (-21)\/(-9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107476524667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2116\/5265 - 2\/1053. Which is the third smallest value? (a) -10 (b) 2\/9 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 67 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4524*o**2 + 44017*o**2 - 1.\nAnswer: 39493*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7*r**3 + 193*r**2 + 115*r - 322. What is i(28)?\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1428.7 + 316.3. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -2c?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000068828 to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5262661 is divided by 225?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/990 and -53\/15972.\nAnswer: 239580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -13 - (0 + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12578 and -8207769.7?\nAnswer: 8195191.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4)*k)**(24\/7)*k**4\/((k**11\/k)\/k*k) assuming k is positive.\nAnswer: k**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*q + 3*q - 29, -20 = -4*z. Let n be (-6)\/q + (-124)\/(-16). Solve 0 = -2*y + n*y + 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 5*b + 14 = b, 3*g + 4 = -5*b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 30 = -3*c, 4*a + 40 = 4*c + 2*a. Let w be 1 + (-59)\/(-15) + c\/(-75). Find r such that 48\/5*r**2 + 4\/5*r**4 + 8*r + 12\/5 + w*r**3 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 65 = -3*k - i, -4*k = i - 144. Let b = k - -39. Suppose 2*q - b = -3*q. What is the greatest common divisor of q and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*s - 4768 + 1336 = 0 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, -0.322, -1\/4, 5, 46, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36502, 36492, 36482, 36472, 36462, 36452?\nAnswer: 36442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**6\/40 - z**5\/20 + 7*z**4\/24 + 5*z**3\/6 + 16*z**2 + 1. Let l(n) = -n**3 + n**2 - 3*n - 2. What is 5*l(o) + 2*u(o)?\nAnswer: o**3 - o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*y**3 - 9 + 15 - 6.\nAnswer: 237*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3323, -3392, -3571, -3914, -4475, -5308?\nAnswer: -6467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 671959 and 6902.\nAnswer: 9407426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-98)\/(-7))*(6\/(-18))\/(-1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/420 and 139\/336.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 22. Suppose o = -20*q + 21*q + 26. What is the tens digit of q\/(-39) - 421\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/(-21))\/(4\/(-112)). What is the highest common factor of 36 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1714831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 19 = -1. Suppose -2*h - 8 + f = 0. Let l = -6.4 - -6. Which is the second biggest value? (a) h (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 55, 136, 217, 298, 379, 460?\n\"Answer: 81*p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 410670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131 - 2083496*t + 131 + 2086254*t.\nAnswer: 2758*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**5 + 2*a**5 + 2*a**5 + (-96*a - 8*a**5 + 96*a)*(1 - 1 + 1) + 2*a**5 - a**3 + a**3.\nAnswer: -4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 19 = 3*y, 23 = -y - 2*k + 16. Let p(r) = -5*r**2 - r - 9. Let c(b) = 4*b**2 + 8. Determine y*c(j) + 2*p(j).\nAnswer: 2*j**2 - 2*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o + 158. Calculate the remainder when c(-5) is divided by 66.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001597 to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.7 - 9. Which is the biggest value? (a) -2 (b) 2\/11 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2958 from -2556.\nAnswer: -2555.7042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12\/341 - -2787\/66154. Let z = 2057\/31622 - t. Let k = -1145\/326 - z. Which is smaller: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 2. Find the third derivative of -o*u**4 + 4*u**4 + 0*u**2 - 3*u**2 - u**4 wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*q + 88 - 13 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4572449 to the power of 1\/2, to the nearest integer?\nAnswer: 2138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 5 - (-37 - -55) - (124 + -5 + -2).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -2*w + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q**2 - 2*q + 2. Let k(n) = n**3 + n**2 - 3*n - 2. Let d be k(-2). Suppose d = -3*x + 7*x. Suppose 4 = -2*z - x*z. Determine u(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -221*h - 2 - 35*h + 59*h - 309*h - 9*h to j + m*h and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n - 295 - 62 - 17 = 0 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2280802380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + 1*sqrt(65))*-6 - ((sqrt(65) - 1*sqrt(65)*-3) + sqrt(65)))\/(sqrt(5) - (1*sqrt(55))\/sqrt(11) - (sqrt(5) + 2*sqrt(125))).\nAnswer: 17*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + g + 3*g - 16 = 0, -4*x = -2*g + 2. Let z be x*(-4)\/(-18) - 0. Sort z, 3, 2\/11 in increasing order.\nAnswer: 2\/11, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ektkl. Give prob of picking 1 e and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (122 - 122 + 206*y)*(-71 + 5*y**3 + 71) + (-3*y**4 + 0*y**4 + 2*y**4)*(2 - 1 + 1).\nAnswer: 1028*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6)*1*15. Which is smaller: s or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 514.46 and 3.9.\nAnswer: 2006.394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -22 - s - 7*s**2 - 12*s**2 - 7*s**2 + 27*s**2. What are the prime factors of y(8)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000110000011010100 + 100?\nAnswer: 100000110000011011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -1.2, -7.2?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 (base 14) in base 7?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 457470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7*b - 8. Let m(x) = 20*x + 22. Let u(f) = f + 1. Let w(a) = -m(a) + 5*u(a). Calculate 13*k(n) - 6*w(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/14 and 37\/43309620.\nAnswer: 303167340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 386398+-1\nAnswer: 386397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-228)\/(-44) - 4) + (20 - 21). Which is the second smallest value? (a) j (b) -0.5 (c) 3\/4 (d) 1.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-198 - 15086\/(-76)) + 278\/4?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 1301\nAnswer: -520.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -55*(-8)\/(20\/(-5)). Let t = m + 202. Suppose 4*n + 5*c - 61 - t = 0, -n + 5*c + 7 = 0. Does 21 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15634600, -31269201, -46903804, -62538409, -78173016?\nAnswer: -93807625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 4:36 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, v: 3, z: 5, n: 1}. What is prob of picking 1 d and 1 n?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 7, z: 6}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + 8. Is 18 a factor of (-1)\/(-2 - (-71)\/s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y + 21*y - 25 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(2\/3)*v)\/v*v**7)\/(v**(-3))**(-4\/19) assuming v is positive.\nAnswer: v**(458\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -122160000 rounded to the nearest one million?\nAnswer: -122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-20) - (-2)\/(-10). Let r = 30 - v. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/196)\/(2\/(-4)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 14*w**3\/3 - 19*w**2\/2 + w. Let f(m) = -m**3 - 7*m**2 + 31*m + 16. Let s be f(-10). Is j(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4140*l**3 - 24 - 21 + 42 - 4155*l**3.\nAnswer: -15*l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/4 + -3*(-1)\/(-4). Let d be (0 + m\/(-2))*(-21 + 21). Suppose -2*j + 420 = 3*j - v, j + v - 84 = d. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 + 39.49. Let l = f - -0.01. Let z = l - -0.1. Round z to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138\/5 less than or equal to 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p - 3. Let u be -12 + (-2 + -1)\/(-3). Let r be u\/4 - (-8)\/(-32). What are the prime factors of n(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddxxcddddddcdd. What is prob of picking 2 x?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1676 and 16.\nAnswer: 6704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 653.0471 centimeters?\nAnswer: 6530.471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1137 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6a637 (base 15) to base 6\nAnswer: -11132554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 0*r**2 - 10*r**2)*(4*r**3 - 2*r**3 - 3*r**3).\nAnswer: 10*r**5 - 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 4. Let p be w(4). Let q be (1 + p + 30)\/70. Let z = 9\/14 - q. Which is smaller: z or 3\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61260 = -37*c - 12605. Is 8 a factor of (c*1)\/(49 - 44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (1 - 1)) + 15\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295356513?\nAnswer: 3, 139, 277, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 147584 divided by 1?\nAnswer: 147584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(0 + -3 + 13). Sort -3, v, -4 in increasing order.\nAnswer: -4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 8*t**3 + 0*t**3 + 9*t**3.\nAnswer: t**3 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98387\/5676 + 1\/1892. Let s = z - -16. Let p = 4 + -2. Which is the closest to 1? (a) p (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o**2 + 1569*o - 1571*o + 962 - 112 to g + k*o + u*o**2 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1264, -1975, -2688, -3409, -4144, -4899, -5680?\n\"Answer: -k**3 + 5*k**2 - 719*k - 549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11302 (base 13) to base 5\nAnswer: 2000032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117 by 39.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 20 = -2*p, 4*k + 5*p = 423. Does 28 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 7:27 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 31 and 10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 3) + (-36 - (-7512)\/168)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 79 = -9. Let m be (-7 - (-3 + 2))*7\/l. Let s(i) = 27*i - 13. List the prime factors of s(m).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 76. Calculate g(78).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 861168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a factor of 424732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/15 (b) 81.3 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(567)*2)**2 + sqrt(21)\/((sqrt(48)\/sqrt(4))\/sqrt(4)).\nAnswer: 37*sqrt(7) + 2269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15 - 11 - (3 + (1 - 0)). Put t, 3, 2 in descending order.\nAnswer: 3, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 786 = 9*b + 201. Let y be ((-1)\/(2\/4))\/1. Does 13 divide b\/((-10)\/y)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g = 5*f - 12, 3*f = 0. Calculate the lowest common multiple of g and 19.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30845 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11007\/8256640 - 2\/9215. Is 0 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*m**5 - 2*m**4 - 799*m**3 - m**2 - 6*m - 174277 wrt m?\nAnswer: 840*m**2 - 48*m - 4794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i - 12. Give b(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 5*a = -10, -132*a = -2*q - 135*a + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 6 - (10 + (-12 - (12 + -16)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2066116.\nAnswer: 2, 13, 39733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 800.7517 kilograms to nanograms.\nAnswer: 800751700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 14 + 8)*(-3*g + 0*g + 2*g)*(17*g - 6*g + 3*g) + 77*g - 26*g**2 - 77*g.\nAnswer: -292*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -663716, -663734, -663764, -663812, -663884?\n\"Answer: -g**3 - 11*g - 663704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l - 1 + 7*l**2 + l**3 - 5 - 1 + 4. List the prime factors of o(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y. Let l be 945\/540 - 3\/2. Let v(m) be the first derivative of 11 + l*m**4 + 1\/2*m**2 + 0*m**3 + 0*m. Determine 3*q(k) - 3*v(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.5 + -5. Let o be 4\/24*(3 - 5). What is the closest to -1 in g, 2\/15, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1746, 1719, 1682, 1641, 1602, 1571, 1554, 1557?\n\"Answer: o**3 - 11*o**2 - o + 1757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (1557 - -4) + (-6)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 705377251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 40\/380 + 490\/38?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 4. Let s(f) = -2*f - 2. Let t be s(-2). Suppose -10 = -2*c + 2*r - 2, -t*c + 8 = -4*r. Solve 6*v - c*v - b = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**5 - 600*f**4 + 3468*f**3 - 1688*f**2 - 5760*f = 0 for f.\nAnswer: -1, 0, 2, 5, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.7 + 12.7. Suppose -5*p + 0*p + 5 = 0. Let r be ((-2)\/(-6))\/(p\/12). Which is the closest to -0.1? (a) u (b) 0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12010 + 30?\nAnswer: -11320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + g. Let m(b) = -12*b**2 - 2*b. Let v be (2 - 0) + -9 + 2 + 4. Determine v*m(z) - 2*h(z).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -219? (a) 5 (b) 73 (c) 0.1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -p - 3*l, -13*l = -4*p - 15*l - 14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 680124.1ug to milligrams.\nAnswer: 680.1241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4266.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011011001110011110101 + 101011?\nAnswer: -11011011001110011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 760 and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/619, 9, 2.244, -2 in decreasing order.\nAnswer: 9, 2.244, -6\/619, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132 (base 6) to base 3.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1275563164.\nAnswer: 2, 23, 73, 189929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/((-570)\/90))\/((-1)\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 - 9*q - 9. Let r be p(-1). Let s be (-6)\/27*-21*6\/4. Sort s, 5, r.\nAnswer: r, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 2*l**2 - 56. Let u(x) = 18*x. What is f(u(a))?\nAnswer: 72*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + sqrt(112)) + sqrt(252)\/sqrt(9)*5)**2.\nAnswer: 96*sqrt(7) + 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 5*b + 2*m, -63 = 12*m - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**3 - 57*b**3 - 10207*b**2 + 10207*b**2.\nAnswer: -64*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -128 - -132. Solve h*f + 3*d = -16, 3*f - 2*d = 6*f + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61 - 73 + 39)*(171*q**5 - 1197*q**2 + 1197*q**2).\nAnswer: -16245*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.11568169239 and -0.03.\nAnswer: 0.08568169239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 14*f**2 - f. Let z be j(1). Suppose 0 = 2*p + 4 - 0. Let n(g) = 29*g**2 + 1. Let w be n(p). What is the highest common factor of w and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + b + 2. Let f be d(2). Let j = 7 - 2. Suppose -5*r + 580 = -f*r - j*c, -2*c = -r + 121. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -8*h - 696. Determine l(-88).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*w + 3*t + 8, -1 = w - 2*t. What is the tens digit of (-94)\/(-8) - w\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/294*(-14)\/60.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15 * -49906\nAnswer: -748590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1783 - 926 = 387*l. What is the nearest to 1 in l, 16, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.68 rounded to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13032 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 2*i - i)*((-2*i**2 - 2*i**2 + 2*i**2)*(4*i - 4*i - 3*i**2) + 2*i**4 - 2*i**4 + 3*i**4 - 168*i**4 + 2*i**4 + 17*i**4).\nAnswer: -140*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k = -3*o - 608, -o + 2 = 13*k + 47 - 42 - 560 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**4\/2 - 17*z**3 - 97*z**2\/2 - 9*z = 0. Calculate z.\nAnswer: -2, -1\/5, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -1)*1 + (-15 - -17). Factor -10*f - 5*f**4 + 7*f - 12*f**3 + f - 9*f**b + 0*f**3.\nAnswer: -f*(f + 1)**2*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**3\/3 - j**2\/2 - 1. Let y = -2470 - -2470. Let i be h(y). Solve i = -x + 2*x + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1005 and -0.64654.\nAnswer: 1004.35346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 695598420 a multiple of 1002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2340 = 2*p + 2326. Solve -p = 7*s - 5*g + 4, 3*g - 5 = 5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*302\/60 + (1050 - 1030)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/(-9) - ((-336)\/(-96))\/(77\/(-264)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559339455?\nAnswer: 3, 5, 37289297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19328? (a) 0.2 (b) 3\/7 (c) -1.083\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**6\/120 + h**5\/15 - h**4\/6 + 2*h**3\/3 + 8*h**2. Determine w(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-18))\/(2\/(-2)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1aa65 (base 16) to base 7\nAnswer: 633146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2912 divided by 6\nAnswer: 1456\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26078 is divided by 3259?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.07723*-0.27\nAnswer: -0.0208521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16788 and 16788.\nAnswer: 16788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 825\/7*s + 3\/7*s**2 - 828\/7.\nAnswer: 3*(s - 1)*(s + 276)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0 = 5*v + 3, -2*b - v = -9. Let d(k) = -k**3 + 5*k**2 + 8. Let p be d(b). What is the common denominator of -57\/2 and (6\/p)\/(18\/(-176))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t. Let o(k) = 10*k. Let f(g) = -119*g. Let y(h) = 4*f(h) + 49*o(h). Let w(c) = -99*c. Let m(j) = 5*w(j) + 36*y(j). Calculate m(q(p)).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 48*l - 48. Let k be f(-3). Let d = k + 198. Solve d = p + 2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -3, 8, 1 in descending order.\nAnswer: 8, 1, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1574 - -1574. Are -2\/317 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*h + 2. Suppose b = 3*b + 12. Let w be -1 - (3 + b)*1. Solve 3*c - h = w*m, 6 = 5*m - c - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61 (base 16) to base 8.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31542?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2107, 2, 12.\nAnswer: 2, 12, 2107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6285*i - 2*i**2 - 6321*i - i**2 - 4*i**2 - 6. Let d(c) = 15*c**2 + 72*c + 13. Give -6*d(o) - 13*l(o).\nAnswer: o**2 + 36*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/9)*p**(-1\/5))\/(p*p*p**(-1\/6)*p*p*((p*p**4\/p)\/p)\/p*p)*(p**(1\/4)\/p**1)\/(p**0*p)**43 assuming p is positive.\nAnswer: p**(-9101\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 273240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 2.236477.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.847442mm in nanometers?\nAnswer: 2847442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/9, 1, -76.7, -0.02?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1571*n**4 + 35556*n**2 wrt n.\nAnswer: 37704*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -286.5 - -319. Let s = -32.8 + l. Let p(g) = g**2 + 4*g + 2. Let r be p(-4). What is the second smallest value in s, r, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2593120 is divided by 1606.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192499.\nAnswer: 192499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**4 - 12 + 12 + (-3*a**3 + 0*a**3 + 4*a**3)*(-a - a + 5*a) to j*a + p + s*a**2 + t*a**4 + k*a**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44361, 44359, 44357?\nAnswer: 44355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p**2 - p. Suppose 36*o + 240 = 52*o. What is the remainder when x(-2) is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**7\/(t**(-21)*t)*t**(2\/7)\/((t*t**(-21))\/t) assuming t is positive.\nAnswer: t**(338\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - 5\/(37245\/(-29799)). Which is greater: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 43\/2 of a meter?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*y**4\/5 + 314*y**3\/5 + 246*y**2\/5 - 18*y = 0. What is y?\nAnswer: -1, 0, 3\/11, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1726 + 115. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -3, -16 in increasing order.\nAnswer: -16, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -758278 divided by 419\nAnswer: -758278\/419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*y = 29, -2*y = 3*l + 2*y - 27. Suppose 45 = 2*w + t - 4, 0 = l*w - 5*t - 85. What is the remainder when 131 is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-2 - (8 - -1 - 6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 579490776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29786672, 59573349, 89360028, 119146709?\nAnswer: 148933392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1233 - -1233. Which is the third biggest value? (a) -53 (b) -3\/7 (c) -4 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -7. What is the common denominator of f - 53\/(-6) - 0 and -64\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2905.4 plus -7545915?\nAnswer: -7548820.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15408 is divided by 486.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + 0.3. Let i be (6\/4)\/((-2340)\/240). What is the closest to -0.2 in 0.1, v, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6224.3l to millilitres.\nAnswer: 6224300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/35)\/(8\/7).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370*u + 142*u - 147*u = -9750 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 - 35*o**2 - 255*o + 93. Let i = 249 - 67. What is the remainder when i is divided by r(23)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -410*j - 817. What is i(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 31 + 91 + 44*r**2.\nAnswer: 44*r**2 + 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/2 + 73\/1. Let x(r) = r**3 - 14*r**2 - 403*r + 5829. Let h be x(15). What is the highest common factor of h and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-190832)\/(-32)*4\/(-16)*-8?\nAnswer: 11927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.39*0.5.\nAnswer: -1.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3) + (-80)\/(-24). Let z be (p\/(-5))\/(-3) + 17\/(-85). Find the common denominator of -74\/45 and (z\/1)\/(-2) - (-106)\/36.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, 2, -3, 0.126, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a kilometer in meters?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1934.381 years in millennia?\nAnswer: 1.934381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*w - 103*w - 156 = 0. Suppose w*h = 35*h - 36. Factor 4\/7*a + 2\/7*a**2 - 4\/7*a**3 + 0 - 2\/7*a**h.\nAnswer: -2*a*(a - 1)*(a + 1)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -m + 9, 5*m - 4*i - 26 + 5 = 0. Let a(j) = j**2 - 4*j - 2. Let p be a(5). Let d = -2 - p. Sort d, 3, m.\nAnswer: d, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00025224 to six decimal places.\nAnswer: 0.000252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmgne. What is prob of sequence mn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 17*a + 28 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 1597400.\nAnswer: -3194800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 10, 0 = 5*u - 10*u - v + 10. Suppose 5*p - u*a - 1 = 0, 0*p = 4*p + a - 11. Calculate the smallest common multiple of 107 and p.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1183)\/(-14) + (-2)\/(-4) + 0. Let h = d + -55. Is 30 a factor of h*4*(2 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**2 + 139*x - 4178. Give s(24).\nAnswer: 1462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a**2 + 6*a - 6. Let f be r(-2). What is the first derivative of 3*g**2 - 16*g**2 + 103 + 2*g + 5*g**2 + 7*g**f wrt g?\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34605998 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: Let d(n) be the first derivative of 2*n**4 - 4*n**3\/3 + 5*n**2\/2 + 3*n + 182. Let w = -17 + 30. What is the remainder when d(2) is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 7) in base 9?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -156431*c*v + 1486*c - 23*v**4 + 3493 wrt v?\nAnswer: -156431*c - 92*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-11) + 258007\/(-649). Which is bigger: a or -401?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 11*i - 302. Let p be v(-26). Let f = p - 593. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t**5 - 4019*t**4 - 6340*t**3 + 2*t**2 - 1560754*t + 11?\nAnswer: -120*t**2 - 96456*t - 38040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*t - 11708 + 4493 = -104*t. Is 1447 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v - 6*v + v + 4*v. Let k be q(-1). Which is the biggest value? (a) k (b) 1\/6 (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 9 - (-26 - -12 - 1 - -66)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57079777?\nAnswer: 191, 298847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -730 - 8*u + 730 - 4*u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 78\/24 - 1\/4 - (-7700)\/(-2500)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/18 and 28\/437625?\nAnswer: 875250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03182259163 - 1.3087.\nAnswer: -1.27687740837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (-5 + (-2 - -5)). Let s(j) = j - 2*j - x + 4. Let f(z) = z**2 + 3*z + 3. Calculate f(u) + 3*s(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*290\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 1, -2\/7, 34225759?\nAnswer: 34225759","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(605) + 0 + sqrt(605) + -4 - 3*(sqrt(605) + sqrt(605) + -1)) + -2*(3 + (sqrt(605) - sqrt(605)*-1) - sqrt(605)))**2.\nAnswer: 924*sqrt(5) + 21831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7}. Give prob of sequence mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710000 rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -142 - (4 + 9 - 9). Let r = u + 4235\/29. Sort r, -1\/5, 2\/3 in decreasing order.\nAnswer: 2\/3, r, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87804 and 1323540?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 0*c + 1 + 3*c + 2. Let n(k) = 8*k + 8. Suppose -5*i = 22 - 42. What is i*n(g) - 11*t(g)?\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.1 and -6.\nAnswer: 30.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -17*d**2 + 8185*d - 20120. Calculate c(479).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1344 and 1141015232?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g**2 - 24*g + 29. Give i(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-10)\/(-50))\/(13\/389545)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139123 a multiple of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -7*d**5 + 0*d**2 - 1\/4*d**4 + 0*d - 97\/3*d**3 + 32. What is the third derivative of l(o) wrt o?\nAnswer: -840*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8932, -17863, -26794, -35725, -44656?\nAnswer: -53587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22255 - 21674. Solve -9*i + 572 - z = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561799200 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -323.1\nAnswer: 64.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-12)*(490\/28 - 18).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167394 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7356, 58551, 197664, 468657, 915492, 1582131, 2512536?\nAnswer: 3750669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -ac?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.1 - -8199495.\nAnswer: 8199500.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + (8 - (6 + -3)). Solve -h = -v - x, 2*v - 5*x - 4 = -2*x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113468.\nAnswer: 2, 19, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1109 + -12202\/11. Let k be 0 - 1\/((-2)\/2). Suppose -2*h + 1 = -f, -k = f - 2*h + 4*h. Which is smaller: f or p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*o - 10*o**2 - 141*o + 62*o + (3*o - 3*o - o)*(3*o + 4*o - 5*o) to y + b*o + r*o**2 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 + 1148. Does 94 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by 195166.\nAnswer: 30\/97583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 25. Let n be l(-13). Let s be -2*2\/(0 + 4) + 4. Suppose 7*u - 18 = s. Solve -3*m - u = -n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2045494 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11033707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 12*x**2 - 185*x + 2180. What is f(12)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*l = 20, -4*k - 20 = -3*k - 5*l. Let i(y) = -y + 3. What is i(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/3)\/((5084\/1107)\/(-31))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 1\/4 (b) 2\/25 (c) 6\/25 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.233 - -0.067. Which is the third biggest value? (a) -1\/4 (b) g (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 364\/(-21)*18*-1. Calculate the greatest common factor of x and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1067*t = 1066*t + 8 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/1675080 and -97\/16920?\nAnswer: 1675080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*m + 266 = 25*m + 2*t, -m + 8*m - 3*t + 219 + 245 = 0 for m.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4055269 is divided by 2027615?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28731 and 5002.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206, -411, -616, -821, -1026, -1231?\nAnswer: -1436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20\/3, 5, 1.1, -4, -2, -3 in decreasing order.\nAnswer: 20\/3, 5, 1.1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*b**3*k**3 + 32347*b**3*k**2 + 737529*k**3 wrt b?\nAnswer: 12*b**2*k**3 + 97041*b**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1359236 less than -371.9?\nAnswer: -1359607.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -11)*98\/8. Calculate the greatest common divisor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2472316 to the nearest integer?\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2923 - 36752 = -4*a + 3*j, -2*j + 59480 = 6*a. What are the prime factors of a?\nAnswer: 3, 5, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96618121.8 - -5?\nAnswer: -96618116.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 288 and 36864?\nAnswer: 36864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -y + 2*p - 3*p, 0 = -4*y + 3*p + 217. Calculate the lowest common multiple of y and 88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f. Suppose 5*r - 3*j = 4*r + 5, -4 = 4*j. Suppose 1 = n + r. Let t be (-1)\/((-1 - -2)*n). Calculate k(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*v + 8558 - 8414 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 - 65. Sort o, -43, -5, -2\/5 in decreasing order.\nAnswer: o, -2\/5, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1928339 = -57*p - 9*p + 934015. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/1963 or -1?\nAnswer: -3\/1963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -941002217.\nAnswer: 941002217.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 47*f + 11. Let o(t) = -9*t - 2. Let b(x) = 11*o(x) + 2*s(x). Let w(j) = 14*j. Determine b(w(c)).\nAnswer: -70*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 27. Suppose 4 = -y, 5*k - 3*y - 17 = 10. Suppose k*p + p - 56 = -2*h, 2*p = 5*h - 176. Calculate the greatest common divisor of h and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458949571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82 - 254*m + 252*m + 26)*(m**2 + 0*m**2 - 2*m**2).\nAnswer: 2*m**3 + 56*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3970.\nAnswer: 2, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26.1616 and -7.5?\nAnswer: 196.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 4\/237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 42. What is the remainder when c is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1822899619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -16*f**7\/105 - f**5\/10 + f**4\/8 - 362*f**2. Find the third derivative of o(h) wrt h.\nAnswer: -768*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -4, 8.65?\nAnswer: 8.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 + 53. Let h(t) be the first derivative of -23*t - v*t**3 + 2*t**3 + 12*t**2 - 31*t - 20 + 6*t. What is u in h(u) = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -8*w**2 + 50*w - 11. Let k be o(6). Let g be ((-21)\/(-7))\/((4 - k)\/3). Solve 0 = -2*d - g*d + 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3849 is divided by 298.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 48*b + 175. Does 12 divide a(42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/27*(-1638)\/28?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 13431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21971 - -1581857\/72. Calculate the common denominator of 85\/296 and x.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 take away 48783201.72?\nAnswer: -48783201.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sse when three letters picked without replacement from eskkqskqk.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a decade?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*p + 6*p - 23*p + 174 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -0.5 (c) 2\/61 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*u, g + 209 - 218 = 2*u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 4:10 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(((r**8\/r)\/r)\/r)*r*r*r**4)\/(r**(-6)\/r**(-6)))\/((r**(2\/3))**(-31)\/((r*r\/r**0)\/r)**(-43)) assuming r is positive.\nAnswer: r**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350*n = -348*n - 130. Let o = n + -46. Calculate the remainder when 74 is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 17, -1530161 in decreasing order.\nAnswer: 17, 2, -1, -1530161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 9. Suppose 2*m = -m - 12. Let g = m - -9. What is the least common multiple of g and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 11*d - 12. Let c be x(12). Let v = -8 + 9. Let m be (1\/v)\/(5\/15). Solve 5*f = -3*q - 19, -m*f - 15 + 0 = c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*1)**2*1 + 2 + sqrt(30)\/sqrt(40).\nAnswer: sqrt(3)\/2 + 194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4121203 (base 5) in base 7?\nAnswer: -366330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 divided by 115?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a4 (base 11) in base 10?\nAnswer: -356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/3, -26, 2, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*u - 477 + 54, -4*w + 594 = 2*u. Let z(s) = -13*s**3 - 37*s**3 + 16 + 151*s - 2*s**2 - w*s. Is z(-3) 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 6, 70, -342, -2, 1\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 162 = -4*k, -2*k - m = -3*m - 82. Let x be (-844)\/(-14) - (1088\/(-112) - -10). Calculate the highest common divisor of k and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = f + 4*f - 2*i, -5*i = 0. List the prime factors of (f - 2)*(-2 - -1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -308, -580, -878, -1214, -1600, -2048, -2570?\n\"Answer: -2*b**3 - b**2 - 255*b - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**7\/21 - 136*n**6\/15 + 5*n**4\/12 + 1955*n**3\/6 - 2*n + 2925. What is the second derivative of h(l) wrt l?\nAnswer: -40*l**3 - 3264*l**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o - 4. What is i(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1988, -1694, -1224, -584, 220, 1182, 2296?\nAnswer: 3556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 108 = -8*d. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26)\/7 + 2 - ((-11)\/(-66))\/(68\/(-816)). Suppose -30\/7*s**3 + 0 + 16\/7*s**4 + f*s + 12\/7*s**2 = 0. Calculate s.\nAnswer: -1\/8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61496711769\/37 + 1661040718. Let y = t + 1032707. Let p = y + -134. Is 0 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1771.5501 minutes to days.\nAnswer: 1.230243125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - t**2 - 2*t + 2. Suppose 11*l - 8*l = -9. Let k be l\/(3 + 0) + (-1 - -2). Let i be q(k). Solve -i*u - 2*u = 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 9634 = 656. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 7*v - 5. Let z be a(2). Let c = 12 - z. Put c, -4, 0 in ascending order.\nAnswer: -4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 9:28 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.97 - 10.87. What is the closest to 1 in -6, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -26*o - 95. Let w = -47608 + 47604. Calculate a(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -26, 3, -4, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -385, -1352, -2969, -5236?\n\"Answer: -325*f**2 + 8*f - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 - 27. Suppose -f - 2*f = -w. Suppose -3*m - 110 = -f*c, -3*c - m + 71 = -18. List the prime factors of c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 - 4*l**2 - 54*l + 114. Determine d(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h = -89*h + 1179 + 1982 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 214376 and 2413.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 10*y**2 - 12*y + 18. Let k be j(-9). What is the highest common factor of k and 5085?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -96, 1\/10, -28, 3, 1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14157 + 4638 = 19*d. Let q = d - -1028. What are the prime factors of q?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - d. Let b(o) = -234*o**2 - 12*o - 16*o - 11*o - 89 - 120 + 35*o. Let j(n) = -b(n) + 4*h(n). What is the derivative of j(f) wrt f?\nAnswer: 460*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 32 = -7. Solve 2*t - 3 = -h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2681988*g**3*n - 12744522*g**3 - n wrt n?\nAnswer: 2681988*g**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/5 + 1 + 4\/10. Suppose p - 5 = b. Calculate the greatest common divisor of 36 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-41 - -40 - (-1)\/(-1))\/3. What is the third biggest value in -0.02, -2\/9, z, 0.3, 5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 880 and 4345.\nAnswer: 69520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -548960.321 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -999, 4, -25 in ascending order.\nAnswer: -999, -25, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 24*-5899712\nAnswer: -141593088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32 and -1?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 12 = -5*y + 12, 5*y + 3*x = 26. Find the second derivative of -6*h**y - 2 - 5*h + 0*h + 2 wrt h.\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 - 15*f**2 - 20*f + 112. What are the prime factors of t(-18)?\nAnswer: 2, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 5*l**2 - 5*l + 2. Let y be r(3). Let s = 28 + -26. Suppose -3*q = 5*f + s, 2 = -q + 3*q + 5*f. Sort y, -2, q in descending order.\nAnswer: y, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**7\/3360 - v**6\/720 - v**5\/160 + 2*v**3 - 9*v. Let c(l) be the second derivative of x(l). Solve c(t) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -18*l**3 + 6*l**2 + 5*l + 2. Let a be m(-2). Suppose 23*b + a = 13*b. What is b rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-6) + 102\/9. Let s be (0 - -1)\/((-13)\/(-26)). Solve -s*v + b = -5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44902972*a**5 + a**4 - 2*a**2 - 427377898*a?\nAnswer: -898059440*a**3 + 12*a**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16740283 and 14348814.\nAnswer: 100441698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 7*c + 8*c - 74*c**2.\nAnswer: -74*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 201515591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 41.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4597674\/289 or 15910?\nAnswer: 15910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-2*3 + (5 + sqrt(304) - sqrt(19)).\nAnswer: -3*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*a + 96 + 125 + 34 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-5)*2)\/((-1)\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 64907412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 0 (c) 0.1 (d) 2 (e) 180\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.5562 rounded to the nearest integer?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 1 + 1\/300*k**6 - 2*k**2 - 1\/60*k**4 + 1\/15*k**3 - 1\/150*k**5 + 0*k. Let a(r) be the second derivative of o(r). Factor a(h).\nAnswer: 2*(h - 1)**2*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h - 1034 + 512 + 519. Calculate g(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -16. Suppose -5*h = 3*y - 70, -5*h + 4*y = -57 - 13. What is the greatest common divisor of h and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -p - 281, 2*p + 3*p + 3*n = -1382. Let a = p + 409. What are the prime factors of a?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073 a factor of 7557139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435058.\nAnswer: 2, 13, 29, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lokoklolllklnl. What is prob of picking 1 o and 1 l?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x + 7. Let y be l(0). Suppose u - 4 = y. Suppose 0*z = z - 10. Calculate the least common multiple of u and z.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 8 - 3)*(-274*c**2 + 275*c**2 + 3*c**3 - c**3 + 2*c**4).\nAnswer: -30*c**4 - 30*c**3 - 15*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - -1 - (-360)\/(6\/2). Let b = -91 + z. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*n - 92 + 92)*(0*n**4 + 4*n**4 + n**4) + (3*n**4 - n**4 - n**4)*(n - 3 + 3).\nAnswer: -59*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 954859 to the power of 1\/2, to the nearest integer?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o - 18. Let t be n(4). Suppose -w + 24 = -t*w. Let x be 0\/2 + (-9)\/w. Which is the biggest value? (a) 0 (b) 0.21 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4*55\/44)\/1. Let j(q) = q**2 + 3. Let k be j(0). Put m, -1, -6, k in ascending order.\nAnswer: -6, m, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15548 + 15611. What is the greatest common factor of o and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 289498 - 119775. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/159*(-64)\/24*27?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -12, z - 2*j + 4*j - 8 = 0. Suppose -36*f = -35*f - 8. List the prime factors of 2 + f + (z - 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*f + 20. Let z(l) = -2*l + 2. Let o be z(-4). Let b = f + o. What is the least common multiple of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2 - 6*j + 3. Let x(f) = 10*f**2 + 18*f - 8. Let b(s) = 7*l(s) + 2*x(s). Suppose m + 21 = -2*m. Calculate b(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-424)\/64 + 7 - 0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.139 and -122.\nAnswer: 626.958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3443)\/88 - (1530\/(-16080) - (-4)\/(-134))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from {u: 2, j: 6, v: 1, x: 2, t: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = i + 1 + 4, -3*i - 5*z - 1 = 0. Suppose i*s = 2*s + 38031. Is s\/5 + (95\/25 - 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 699, 1358, 2017, 2676, 3335?\nAnswer: 3994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 32092+-32312\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 10*g - 13*g, -2*p + 5 = 3*g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -571 + 575. Let v be (-5 - (m - 9)) + 3640000. What is v rounded to the nearest one hundred thousand?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 6.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-10)*9\/((-135)\/(-10))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3224117 is divided by 247992?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 2. Let k be ((-1 + 0)*1)\/m. Let d be (-1)\/((-5)\/(-2)) - (-7)\/5. Put k, -4, d in decreasing order.\nAnswer: d, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 9590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -241.1 - -241. Which is the nearest to j? (a) 3 (b) -14 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7198143 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153 divided by 4.\nAnswer: 153\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 20, 59, 104, 149?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (8633\/4)\/((-19 + 14)\/(-20)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5179680*a**2 + 931751*a - 5 wrt a?\nAnswer: 10359360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - 3*z + 3*z)*(4*z - z**2 - 4*z)*(-52 + 52 - 11*z).\nAnswer: -22*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23, 23, 15, -7, -49, -117, -217?\n\"Answer: -m**3 + 2*m**2 + m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 125403166 (base 7) to base 6\nAnswer: 444534034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*s - 8. Solve -s*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -92 - -107. Suppose 2*r - 69 - h = 0. Suppose 0 = -a + 2*c + 30, 0 = -a - a + 2*c + 52. What is the remainder when r is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.526 - 8.5. Let s = v - 0.027. What is s rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y + 4 + 3 - 7 - 2*y**3 as j*y + i*y**2 + p + l*y**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -49*g**2 - 353*g - 14. Let r be h(-7). Calculate the greatest common divisor of r and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74569*t - 266191 = -74598*t. What are the prime factors of t?\nAnswer: 67, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -100, 9, 202, 503, 936, 1525?\nAnswer: 2294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. Suppose -2 = -5*h + b*f, 5*f - 30 = -5*h - 0*f. Suppose 4*y = -4*d + 152, 112 = h*y + y + 2*d. What is the greatest common divisor of y and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/94 - (-318628442)\/9823. What is the greatest common divisor of 163 and q?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**3 + 563*l**2 - l - 346 wrt l.\nAnswer: -6*l + 1126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -2. Suppose a - g = -a. Let p(h) = -h**2 - a - 4*h + 6. What is p(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31.00429 - 1.00783. Let p = a + -30. What is p rounded to 4 decimal places?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(1695\/678*(0 + 12\/(-10)))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 77677 and -0.1.\nAnswer: 77676.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*m**2 - 8*m**2 + m - 3*m**3 - 27 + 49*m**2 + 9*m**3 in the form p + c*m**2 + k*m + y*m**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 10458 = 2230. What is the lowest common multiple of 14 and b?\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -24*b**4 + 5*b**2 + 35*b - 5. Let h(q) = -12*q**4 + 2*q**2 + 18*q - 2. Let k(j) = 5*h(j) - 2*y(j). Find the second derivative of k(i) wrt i.\nAnswer: -144*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, z: 2, k: 3, r: 3, g: 7}. What is prob of picking 1 g and 1 k?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -26*x**3 + 10*x**2 - 2*x - 4. Let w(a) = -17*a**3 + 7*a**2 - a - 2. Let o(n) = -5*j(n) + 8*w(n). What is the second derivative of o(h) wrt h?\nAnswer: -36*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*j + 24*j + 26*j + 179*j**2.\nAnswer: 179*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15427)\/2)\/(40\/(-1040)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5202 take away -177?\nAnswer: 5379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3771983.\nAnswer: 73, 163, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-96)\/(-18))\/8)\/((-16)\/12)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -0.55, 2\/7, 14, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17712370 - 1?\nAnswer: -17712371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by ((-17)\/(-4))\/(0 - (-4)\/48).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*t - 278 + 187 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 6 (b) 4 (c) -0.03 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 7:17 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -9*i. Let n(h) = -19*h**2. Calculate l(n(p)).\nAnswer: 171*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 9, -15 = 4*s + s - 5*h. Let r(c) = -c**3 + c + 25. Is 12 a factor of r(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -15. Suppose 3*f + 4*r + 2 = 0, 2*f + 4 = 4*r - p. Let y(z) = z**3 + 2*z**2 + 4*z + 3. Determine y(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*x**4 + 279*x wrt x?\nAnswer: 444*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*z = 47, 18 = h - 5*z + 3. Calculate the remainder when -6*-3*(-9)\/(-6) is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**4 - 38*g**3\/5 - 518*g**2\/5 - 1002*g\/5 - 36 = 0?\nAnswer: -3, -1\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u + 5*u**2 - 3*u**2 + 13*u**2 - 14. Calculate the remainder when q(5) is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.5826909 + -442.4217691. Let o = p - -446. What is o rounded to 4 decimal places?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6994 is divided by 2615?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -6*s + s + 1, -5*u - 24 = -4*s. Sort -0.4, -17, s, 5 in decreasing order.\nAnswer: 5, s, -0.4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136819 is divided by 204?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((4*sqrt(36)*1 - sqrt(36)) + (1*sqrt(3600) + sqrt(3600) - sqrt(3600)))\/(sqrt(24)\/(sqrt(14)\/sqrt(7)*-2))*5)**2.\nAnswer: 811200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 11*w - 3*b + 1, -w + b + 13 = 0. Solve -18*v = -w*v + 24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1754\/(-5))\/2 - (-26)\/65. Let i(l) = l**2 - 2*l + 1. What is the remainder when h\/14*8\/(-4) is divided by i(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -398*k**2 + 7*k + 87 - 3*k**3 + k**3 + k**3 + 423*k**2. Does 22 divide h(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 46*j**2 - 7*j + 17. Let h be m(-3). What is the highest common factor of h and 80?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3421665?\nAnswer: 3, 5, 13, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**3 - 6*x**2 + 6*x. Let a(p) = -p**3 - p**2 + p. What is -24*a(u) + 4*d(u)?\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -191421*y**4 - 545819*y?\nAnswer: -2297052*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-7) - (-4 + (-3180)\/14). Suppose -17*t - a = -38*t. Calculate the remainder when (214\/(-4))\/((-6)\/12) is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 31*h. Let s(a) = -4*a + 53*a - 111*a + a. Let j(r) = -11*p(r) - 6*s(r). Let g(m) = 2*m**2 - m**2 - 2*m**2. What is g(j(f))?\nAnswer: -625*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 3*c + 128. Let y be q(-8). Calculate the highest common factor of y and 1331.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 135 = 27. Solve -2*x - k = -3*l, l + 2*l = 5*x + 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*v - 20 = -5*v, 0 = z - v + 5. Let n(x) = x**3 + 6*x**2 + 5*x - 3. What is n(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 995 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 5:29 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*o + 2*o + 2*o.\nAnswer: -55*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**4\/3 + 14*t**3 + 46*t**2\/3 - 14*t - 44\/3 = 0. Calculate t.\nAnswer: -1, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 30 = 5*k, 301*g + 40 = 4*k + 305*g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 24 - 14*r - 66*r.\nAnswer: -80*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/9 + 2690*c**2\/3 + 700400*c\/9.\nAnswer: -2*c*(c - 4120)*(c + 85)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.387549567 + 0.004062515. Let k = i + 192.383366052. Let p = k + -192. Round p to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**3*o*q**2*u - 7892334*b**3*o*q*u - 4*b**2*o*q**2 + 2*b**2*o - 332593*b**2*q*u + 2*b*o*q**2*u wrt b?\nAnswer: -6*o*q**2*u - 47354004*o*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -0.0441.\nAnswer: 0.3559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.12 - -0.92. Is 3 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-3\/2)\/i))**(-3)\/(i*i**(3\/2)*i*i*i*i*i**(-16)\/i*i*i*i) assuming i is positive.\nAnswer: i**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 10*r - 36. Let u(w) = -4*w + 15. Let j(t) = 5*i(t) + 12*u(t). Let q(o) = -6*o - 3. Determine j(q(n)).\nAnswer: -12*n - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g + 9*g**2 + 3*g**2 - 13*g**2 - g**4 + 2*g**3 in the form y*g**2 + d + a*g + r*g**3 + t*g**4 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.660868 to two dps.\nAnswer: -9.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5 - 22*z**4 + 80*z**3 + 256*z**2 = 0.\nAnswer: -2, 0, 8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -4)\/((-2)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 168149596?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 31191, 31147, 31085, 30999, 30883?\n\"Answer: -j**3 - 3*j**2 - 28*j + 31223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y + 74. Calculate the remainder when s(7) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 714792 = -s - 112796, 2*s + 5*c = 1203990. What is s rounded to the nearest ten thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*(sqrt(13) - sqrt(832))**2 + (sqrt(832) + 0)**2 + -5*(sqrt(832) + 2 + sqrt(117) + (sqrt(117) + sqrt(117) + 1)**2 + sqrt(13)).\nAnswer: -4073 - 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -462852 divided by 516\nAnswer: -897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4*z**5 + 76*z**4 - 164*z**3 - 1500*z**2 + 3600*z = 0.\nAnswer: -20, -5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - i**2 - 2*i + 3. Let j be f(2). Let s(l) be the first derivative of -26 + 3\/2*l**2 + 3*l. Let h(c) = 1. Give j*h(k) - s(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 10:45 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/6*1245\/(-10). Let n be (-2)\/(-4) - h\/(-4). What is the highest common divisor of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8757 = 4*z - 359. List the prime factors of z.\nAnswer: 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0*p - 5 + 3)*(-26 - 22 + 28)*(-2*p + 4*p + 0*p).\nAnswer: -40*p**2 + 80*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**5\/20 + w**4 + 13*w**3\/6 + 3*w**2\/2 + 15*w. Let o be m(13). Solve -o*s + 7 = -x, -2*s = 3*x + x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 16 = -4*t - 3*s, -4*t = 5*s - 19. Suppose -37 = -9*b - t. Suppose 2*a + 92 = 6*a - b*l, 5*a - l = 127. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.09 + 4.91. Let d = 0.013 - 344.013. Let z = -344.03 - d. Sort f, -3\/8, z in decreasing order.\nAnswer: f, z, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13 + (-20)\/(-11) - 4\/(-22). Solve l*b + 31 = 91 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94*n + 16*n + 69*n)*(0*n**2 + 3*n**2 - 2*n**2).\nAnswer: 179*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2918*n**4 - 9*n**3 - 1332*n**2 - 5905728*n - 19 wrt n?\nAnswer: -35016*n**2 - 54*n - 2664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6298278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.9922 and -6051.52352.\nAnswer: -6052.51572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 609 = 2*n + n - 2*z, -2*n = 4*z - 406. List the prime factors of n.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13851 - 87335 = -4*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/210)\/(-50*(-186)\/15500)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 17. Let t = 106 - 166. What is the remainder when 65 is divided by ((-70)\/6)\/(m\/t)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13868 + 21748. List the prime factors of m.\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54*h*u**3*z**3 + 2000855*h*u**3*z**2 - 13*h*u + h*z**3 - u**2*z**2 - 276*u**2 + 91*z**3 wrt u?\nAnswer: -324*h*z**3 + 12005130*h*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from {v: 4, r: 2, k: 3, w: 1}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 23*o + 1. Let a = 52 - -37. Let c(i) = 176*i - 88*i - a*i. Calculate c(s(q)).\nAnswer: -23*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/7))**(3\/28))**(-18)*(l**(-2\/3))**(-1\/42)\/(l*l\/(l\/l**0)*l*l*l)**8 assuming l is positive.\nAnswer: l**(-14348\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -70*b - 18. Let x be d(-5). Let i = x - -50. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(88)*2*-6 - (-2*sqrt(88)*-3 - sqrt(88))))\/(-1*sqrt(200)*-4*-3).\nAnswer: 17*sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.287.\nAnswer: -1.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 2*r + 1. Let f be k(3). Suppose n - 2*n = -11. Let d be 147\/(-264) - f\/n. Which is the third smallest value? (a) 4 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 8:49 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -0.02 (c) 12.8 (d) -0.2 (e) 1\/13 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q*s*u**2 + 598*q*s + 12*q - 74567*s*u**2 wrt q.\nAnswer: 2*s*u**2 + 598*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, w: 17}. Give prob of sequence wy.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h. Let x(n) = 32573*n. Calculate k(x(f)).\nAnswer: -65146*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3623594 is divided by 1207802?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 14654\/49, 2\/3, 3 in decreasing order.\nAnswer: 14654\/49, 3, 2\/3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -2 - (-1 + 5 + -3 + -5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6974 + -15127. Is t\/(-62) - (-2)\/(-4) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29550.299 to the nearest one hundred.\nAnswer: 29600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**5\/20 - 103*m**4\/12 + 1007*m**3\/6 + m**2 - 7*m. What is the derivative of w(k) wrt k?\nAnswer: -6*k - 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12798653?\nAnswer: 7, 149, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.542817 rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - w**2 + 2*w - 1. Let f be p(-2). Is 7*f\/(-4)*4 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63558456 divided by -31779228?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*s**4 + 277270*s**3 + 12471189*s**2 wrt s.\nAnswer: -120*s + 1663620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 56, 48, 40?\n\"Answer: -8*c + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200383 is divided by 199981.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1064)\/80 + 6 - (51 - 59)?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-336)\/(-280) - (-21)\/(-5). Let q(t) = 197*t**2 + 42*t + 136. Is q(v) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**4\/12 + 7*m**3\/6 + 9*m**2\/2 + m. Suppose -2 = p, 0 = 5*a + p - 0*p + 32. Let o be z(a). Solve 2*s = -o + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3298382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 5 + -3 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 + 5*d**2 + 6*d - 5. Let p be o(3). Solve 4*b - 5 = 2*w + 3, -p*w - 8 = -4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-32)\/18))\/(6\/(-8))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - n + 744 = 0, p - 10*n - 120 = -15*n. What is the remainder when p is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9119 + -9089. Solve 5*y = 32*g - o*g + 17, -4*g = 4*y - 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 607 (base 10) to base 13.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -17. Suppose 10 = -k*r + r. What are the prime factors of -3*r\/15 + 35?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5542.234 decades to years.\nAnswer: 55422.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + o**2 - 5 + 19 - 9 - 3*o**2 - 65*o in the form u + f*o + h*o**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -129 - -82. Let b = z + 77. Calculate the highest common factor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-1\/6)\/o)\/(o*o**(-8)*o))\/(o\/(o*o**(-1\/4)\/o*o))**(8\/5))\/(((o\/(o*o**(-7)))\/o*o)\/(o\/o**7)*((o*o**(-4\/5))\/o)\/(o**(1\/6)\/o)) assuming o is positive.\nAnswer: o**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3348 - 3?\nAnswer: -334b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 35 = 3*w - 123, -4*a + 64 = 4*w. Let f be (w\/(-35))\/((-2)\/(-10)). Let i(t) = -2*t - 2. What is i(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -47, -45?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000587509 rounded to 6 dps?\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*h + 4*o, -3*h = 2*h - 2*o - 6. Suppose h*t - t = 2164. Let g = -879 + t. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 5*l - 1. Let z be c(5). Suppose -493*q - 1435 = -2914. Sort q, -9, z in descending order.\nAnswer: q, z, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -2 - 5 - (7 + -9) - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-378)\/(-2)*(-64788)\/151172.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 74\/18) + -1*(-14)\/(-198).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 3:06 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1456 - 4571?\nAnswer: -6247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1692, -4807, -13252, -29691, -56788?\n\"Answer: -444*a**3 - a**2 - 4*a - 1243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 32, 176, 434, 818, 1340, 2012?\n\"Answer: 2*o**3 + 45*o**2 - 5*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen eighths of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*m - 4. Sort -4, m, 5.\nAnswer: -4, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j - 5 = -77 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 11. Let w = 10 - m. Which is the second biggest value? (a) w (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17156, 2, -18, -3.\nAnswer: -18, -3, 2, 17156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2015 divided by -403.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-3)\/12*-6.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 611365568 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 16 = -4*j, 6*j - 4 = -k + 8*j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k - 36. Let p be (-2)\/((-14)\/(-21)) - 6. Let d be n(p). Solve -1 - d = 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/2 + (-3)\/((-3)\/67) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91362211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13667214 to the power of 1\/3, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t. Let m(a) = 8*a - 36. Let s(d) = d - 6. Let g(r) = m(r) - 6*s(r). Give 14*g(o) + 5*w(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16 - 23) + (15 - 2). Solve 5*c - 4 = a*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5 + 7 + 1 + y - 5. Calculate the least common multiple of 14 and g(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - d + 6*d)*((-3 + 2 + 3)*(-2 + 2 - 2) - 2 + 0 + 3 - 9 - 4 - 19).\nAnswer: -35*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 43 = 6*a + x, 0 = -2*a + x + 41. Let o = a - 1. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-1)*1*2\/2. Let p be (-3)\/o - 1\/(6\/(-170)). What is the greatest common factor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/34 and -157\/4284.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 16*c + 52. Let n be x(3). What is the greatest common divisor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 57. Let i = 255847.0079 - 255823. Let t = i + c. Round t to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9219*b**2\/5 - 675835677*b\/5 - 439854\/5 = 0 for b.\nAnswer: -73309, -2\/3073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kokogkmkmmomkkkmkkkk.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 10:57 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 7220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z - 2. Let t(r) = -r + 4. Let x(p) = -o(p) + t(p). Let j(a) = -5. Determine -3*j(m) - 2*x(m).\nAnswer: -2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 8*j**2 - 116*j + 168.\nAnswer: 4*(j - 3)*(j - 2)*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -10. What is the closest to 1\/3 in 4, -3\/5, p?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from odooodqdoq. What is prob of sequence dqo?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(32) - (sqrt(32) - (-3*sqrt(32) + sqrt(32))) - sqrt(8)).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31 and 0.1.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0042 + -60.4042. Let p = -61 - y. Which is the third biggest value? (a) 3 (b) p (c) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7337, 14487, 21637?\nAnswer: 28787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1*2\/5)\/((-2)\/120). Let c = -20 + d. Solve -t = -c*w + 3*w, 0 = 2*t + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -8*b. Let d(k) = -18*k - 15. Let o(f) be the third derivative of -3*f**4\/8 - 7*f**3\/6 + 173*f**2. Let g(v) = 4*d(v) - 9*o(v). Give w(g(h)).\nAnswer: -72*h - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (-32 - -6) + 10 + 21.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2)*(-1 + 1 - w)*(3 + 284*w**2 + 3 - 285*w**2) in the form i*w + k + h*w**3 + a*w**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -18. Let k(g) = -g + 1. List the prime factors of k(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 100 = -9*d. Suppose 0 = -d*i + 17*i + 24. Sort -2, -4, i in decreasing order.\nAnswer: i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -5*k + 10. What are the prime factors of ((-552)\/32)\/(k\/(-24))?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, p: 5, q: 6, v: 5}. What is prob of picking 1 p, 1 v, and 1 i?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y**2 + 13*y**2 + 4*y**2. Let m(x) be the third derivative of -x**4\/12 + 20*x**2 - 1. Determine m(b(w)).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -2\/9, -1.12, -1\/5, -2\/17 in decreasing order.\nAnswer: -2\/17, -1\/5, -2\/9, -1\/2, -1.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 - 165 - 7 - -107?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 0*d**2 - 307*d - 53\/66*d**4 - 5\/22*d**5 - 9\/11*d**3 + 0 + 1\/165*d**6. Factor q(a).\nAnswer: 2*a*(a - 27)*(a + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -1 - 2*h + 0 + 7*h**2 + 3*h. Let w(s) = s**3 + 2*s**2 + s + 1. Let p be w(0). Give l(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2798 and 0.552?\nAnswer: 2797.448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2682967703 rounded to four dps?\nAnswer: 0.2683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 m when three letters picked without replacement from aokmkmk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -97. Let r = 75 - y. Let v(n) = -n**3 - 7*n**2 + 7*n - 4. What is the remainder when r is divided by v(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmn when three letters picked without replacement from {m: 3, p: 8, a: 1, k: 3, n: 3}?\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/3))**24)**(-43)*(s**(4\/3)*((s*s*s**0*s)\/s)\/s)\/((s*s\/s**(-4))\/s**(-1\/6)) assuming s is positive.\nAnswer: s**(-2087\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3361159?\nAnswer: 139, 24181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 k when two letters picked without replacement from {w: 5, k: 3, m: 1}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1088 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2603120742.\nAnswer: 2, 3, 144617819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1769, -1725, -1599, -1349, -933, -309?\n\"Answer: 7*f**3 - f**2 - 2*f - 1773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*n - 5*t - 43, n - 3*t - 9 = 0. Suppose -m + n = 2*m. Suppose m*x**5 + 4*x + 5 + 2*x**2 - 2*x**4 - 13 - 6*x**3 + 8 = 0. Calculate x.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 263, 395?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60.7 - 64. Which is the second smallest value? (a) 0 (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 24 = -2*x, -2*p - 5*x = p - 18. Suppose -p*b = 74 - 1220. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 114*a**2 - 73*a**2 + 280*a**2 to d*a**2 + b + h*a and give d.\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -399\/11, -4\/5, -0.2, 5, -3 in descending order.\nAnswer: 5, -0.2, -4\/5, -3, -8, -399\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4\/3, 1\/4, -0.03, -52, -3, 3?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18917 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j. Let d(x) = 28*x - 1. Determine -d(z) + 6*r(z).\nAnswer: -22*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 12 = 3*i. Let n(w) = w**3 - 2*w**2 + 4*w - 1. Let d be n(i). Solve d = 2*t + 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28547.4 rounded to the nearest 1000?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 15. Suppose 2*b + 6 = m + 7, -4*m + 14 = -2*b. Solve 1956*h**3 + 3*h**2 - m*h**2 - 1953*h**3 - h**s = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + 1 - (37 + -36).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/12 - 37\/4. Let j = u + 21. What is the highest common factor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 33*d**2 - 67*d + 106. Let u be g(-35). Let x be u\/(-2) + 24310\/(-220). Is x at most -110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*d**2 + 20*d**2 + 44*d**2 + 31*d**2.\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 896417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.16, -1, 131 in ascending order.\nAnswer: -1, 0.16, 5, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 19*b - 682. Determine t(54).\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13457?\nAnswer: 13457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1496*j - 40. Is 17 a factor of b(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s**(-41)\/s*s)\/s)\/(s\/s**(3\/13)))**(1\/3) assuming s is positive.\nAnswer: s**(-530\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75060779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-48)\/(-14) + 36\/(-84). Suppose 5*x - 7 = -l, 3 + 2 = f*l - x. Solve 4*w - g - 14 - l = 0, 4 = w - 3*g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-35 - -29)\/((-12)\/8). Let i = -2 + 4. Solve 4*j - u = -2*x + i, -4*x = 5*j - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -433192 = -433213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -41. What is the lowest common multiple of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 16, 5, 0.3, -1\/4 in increasing order.\nAnswer: -0.3, -1\/4, 0.3, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(13\/2)\/k)\/k)**(-3\/4)\/(k*(k*k**(-13))\/k)**(-29) assuming k is positive.\nAnswer: k**(-2811\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - -11. Let w = -18 + 21. Suppose 5*c - 264 = 3*u, 224 = w*c + c + 4*u. What is the remainder when c is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 10, d: 3, r: 1, o: 1, c: 1, l: 3}. What is prob of picking 1 d and 1 r?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*m - 8989, 2*s + 0*s - 5*m = 17978. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, -2\/17, 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r. Let k(t) = -2*t. Suppose -5*w = -0*w + 30. Let l be 16\/6 + (-2)\/w. Calculate l*k(z) + 8*v(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 205 (c) 0 (d) -0.5 (e) -104\/5 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 - -44. Which is smaller: 5 or b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -290.385.\nAnswer: 290.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -1. Let d(q) = -q**2 - 3*q + 7. Let s be d(x). Let b = 41 + s. Solve 2*o + 3 = o, 4*o + b = -4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7065 - 5507?\nAnswer: 195c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/12500 and 4\/375?\nAnswer: 37500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614570 is divided by 305?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -317 - 316 + 1564 - 307 + 25*l**2 - 311 - 312.\nAnswer: 25*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a second in milliseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 554843, 2219373, 4993593, 8877503?\n\"Answer: 554845*g**2 - 5*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 + 137. What is the remainder when g is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 - 0.8. Suppose -5*s + 10 = 2*r - 22, 0 = 5*s - 20. Let o be (r\/(-4))\/(3\/(-8)). Sort m, o, -3.\nAnswer: -3, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2 - 12*g + 5. Suppose -3*x + 12 = -0*x. Let d be j(x). Solve 16 = d*f - m - 7, 0 = -2*f + 2*m + 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d*n**6 + 185500329*d*n**4 + 13*d*n**2 - 2*d*n + 2*d - 13*n**2 + 2*n - 69 wrt n?\nAnswer: 120*d*n**3 + 4452007896*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -2\/7, -99?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -186, -187, -188?\n\"Answer: -p - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(100364 - 100364 + 892*y) + 2*y - y - 3*y.\nAnswer: 890*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -11*f - 3. Let z(k) = -10*k - 2. Determine -3*l(a) + 4*z(a).\nAnswer: -7*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*g + 6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3*(2 + -3))\/(39\/286) is divided by -1 + (12 - -3) + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273551 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-4) - 1)*-4. Let m be (76\/p)\/(2\/6). Let b = -40 + m. What is the highest common factor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14931\/(-158) - -94)*(234\/2 + 1)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 37.45677 and -4?\nAnswer: 41.45677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c*f**4 - 107317*c*f**3 - 6*c - 264 wrt f.\nAnswer: 4*c*f**3 - 321951*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2497*w**3 + 541*w**2?\nAnswer: 14982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -5. Let n(d) be the second derivative of -1\/20*d**5 + 0 + 0*d**4 + 1\/6*d**3 + 3\/2*d**2 + 2*d. Determine n(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*i + 153*i - 214*i + 502 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 42530, 42532, 42544, 42572, 42622?\n\"Answer: m**3 - m**2 - 2*m + 42532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 247110*w - 3053167605.\nAnswer: -5*(w + 24711)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 1510.\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from {j: 4, s: 4, y: 6}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 0 + (4 - 4 + 1)*(-5251 - 9010 - 1215))*(0*j**4 + 3*j**4 - j**4) in the form x*j + w*j**4 + b*j**3 + y*j**2 + h and give w.\nAnswer: -30956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 1494?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*c**2 - 3 + 282*c**2 + 7 - 4 + 1.\nAnswer: 219*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 4) in base 10?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**5 + 198*l**4 + 5220*l**3 - 36778*l**2 + 57099*l - 25740 = 0.\nAnswer: -165, -39, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**5 - 4144*k**4 - 29272*k**3 + 70960*k**2 - 37548*k = 0.\nAnswer: -9, 0, 1, 1043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u + 4. What is the remainder when 12 is divided by (0 + u)\/((-2)\/(-14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 367.152 + -367. Let y = -0.1519997 + c. Round y to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61400 and 1600.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 768113 is divided by 625?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 8:20 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 1:18 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -168\/11? (a) 0.05 (b) -5 (c) 173 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 354 - 354. Solve -5*d - l + 21 = v, 2*d + 0*d = l + 7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -106183*z + 140889?\nAnswer: -106183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3\/7, 1\/11, -0.02 in descending order.\nAnswer: 3\/7, 1\/11, -0.02, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 9*t**2 - 253*t - 4799. Determine m(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 - 1 - 17864*v.\nAnswer: -17864*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3 + 2*b**2 + 12 - 9. Let a(x) = 6*x**2 + x. Determine k(a(h)).\nAnswer: 72*h**4 + 24*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 23*u**2 - 1. Suppose -a + 10 - 11 = 0. Let b be r(a). Suppose 8*j - 18 = b. Calculate the smallest common multiple of j and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2435159?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28051915 is divided by 260.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3040147597 to the nearest one hundred thousand.\nAnswer: 3040100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 1. Let h = 69 - 28. Calculate the remainder when h is divided by ((-14)\/1)\/(f + -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11221 (base 4) to base 12\nAnswer: -261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7640, -7, 2, -2, 33 in ascending order.\nAnswer: -7640, -7, -2, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1258853 to the power of 1\/2, to the nearest integer?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 7303 + 7303.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 13*o + 88. Let s be (1*2)\/(16\/40). Let z(d) = 10*d + 0*d**2 - 2 + 7*d - 3*d - 3*d**2. Let x(y) = -2*y**2 + 9*y - 1. What is o*x(n) + s*z(n)?\nAnswer: n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63 - 58. Let q(z) = 3*z**3 + z**2 + 16*z + 9. What is the hundreds digit of q(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 1. Let c be w(-3). Suppose 3*l + c = -7. Put -2, 4, l in decreasing order.\nAnswer: 4, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-14))\/(1\/(-21))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.32 - 0.02. Let i = -0.1 + m. Let h = 26 - 340\/13. Which is the closest to 0? (a) h (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/2900 - 9067\/3158100. Let z = -6520\/7623 + y. Let w = -0.1 + 0.1. Sort w, 3\/8, z in decreasing order.\nAnswer: 3\/8, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.098, -0.3, -3\/8 in decreasing order.\nAnswer: -0.098, -0.3, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10909320.\nAnswer: 2, 3, 5, 90911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/5)\/g*g**(-2\/7))\/(g\/g**(-2))**(1\/3) assuming g is positive.\nAnswer: g**(-52\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3098733674.\nAnswer: 2, 19, 199, 409777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 138373, 276733, 415093?\n\"Answer: 138360*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*z - 87757 = 0, 818 = -c - 3*z + 18354. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2. Let g(b) = 1 - 2 - 82*b**2 - 4 + 93*b**2 + 0. Determine d(g(l)).\nAnswer: -242*l**4 + 220*l**2 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1577)\/(-4722) + (-1)\/3. Let b be (-2345)\/9*(-147)\/1574. Let z = b - v. Find the common denominator of z and 23\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2*p + 7*p + 11, 0 = 2*k - p. Calculate the remainder when 51 is divided by (0 - 1) + 15 + k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p. Let a(v) = -3*v + 1. Let b be a(-4). Let o(d) = b - 13 + 2*d**2. Determine t(o(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26640827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**3 - 3*v**3 + 2*v**4 + 4*v**2 - 3*v**2 - 2*v**4 - 11*v**2 + (2*v**2 + v**2 - 2*v**2)*(-2 + v**2 + 2).\nAnswer: v**4 - 10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33169 and 1353?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-1) - (-4)\/(-7)*-5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 127*p + 7150. Determine v(-56).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 17 + 7. Let s = 58\/109 + 50599\/981. Let g = s - 52. What is the closest to -1 in -0.5, g, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -7*u**4\/4 + 3*u**3 + 6*u. What is the second derivative of g(m) wrt m?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/81*((-41992)\/464)\/(-181)\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11275, -10, 8, -3 in descending order.\nAnswer: 11275, 8, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -z**8\/1680 + 17*z**4\/24 + 8*z**3 - 30. Let o(a) be the third derivative of y(a). What is the derivative of o(h) wrt h?\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**2 + 9*y - 9*y + (0 - 1 + 2)*(2*y**2 + 3*y - 3*y))*(500*y - 239*y - 59*y) as d*y + t + z*y**3 + c*y**2 and give z.\nAnswer: 808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**2 - 3*m - 6. Suppose 0 = -5*w + 2*j + 10, w - 9 = -3*j + 2*j. What is the units digit of i(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7945, 6 in increasing order.\nAnswer: -3, 6, 7945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -1. Let s(g) = 15*g + 367. Let m be s(12). Let a = -552 + m. Do a and q have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 2)\/(8620\/1196 + -5 + -2). Which is smaller: -20 or l?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/((-5 + 4)\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsljq. Give prob of sequence jxl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/4))**(-12)\/(j\/(j**0*j*j)*j**(2\/11)\/j) assuming j is positive.\nAnswer: j**(-79\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -123585 (base 9) to base 5\nAnswer: -4343330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*y = -3 - 21, 3*z + 36 = 2*y. Let b = 14 + z. Solve -b*l - 2 + 4 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(7) - (sqrt(7) + 1)) + 4)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/10)\/2*20\/(-2). Let w be (-2 - (-14)\/z)\/(10\/4). Determine x, given that w*x**2 + 0 + 2\/5*x + 1\/5*x**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/12)\/((-1980)\/(-21978)))\/(1\/(-5))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*k**2 - 36*k**2 + 66*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.79 - 2.483. Let y = -0.207 + f. Suppose 1 + 2 = g. Sort y, -0.4, g in descending order.\nAnswer: g, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + 0. Let i = 3707 - 33355\/9. Which is the fourth biggest value? (a) w (b) -0.2 (c) i (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28305 = 8*d + 29*d. What is the highest common divisor of 45 and d?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-7)\/((-35)\/(-10)). Let c(v) = -3*v - v**u + 0 + 0*v - 2*v**2 + 2. What is the tens digit of c(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126 and 8555796.\nAnswer: 59890572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 - -72. Find the common denominator of 119\/6 and 59\/34 - j\/187.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -18305624.\nAnswer: -18305624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 2, m: 1}. What is prob of sequence rm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 11*b - 17. Let u be f(-9). Let n(h) = 5*h + 1. Let o(j) = -j - 1. What is u*n(q) + 4*o(q)?\nAnswer: q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojoojojojjoojojoojjo. Give prob of picking 3 j and 1 o.\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**2 + 944*v + 55696 = 0. Calculate v.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -870, -1387, -2, -1 in ascending order.\nAnswer: -1387, -870, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 20353078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 136435 - 89852. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/6)\/((-6)\/(-8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/61)*m*(m**(-22)\/m)\/m assuming m is positive.\nAnswer: m**(-1405\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 + 0*j + 0*j + (-4 + 4 - j**2)*(-12 + 28*j + 12).\nAnswer: -27*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4\/8 + 3*r**3\/2 - 15*r**2\/8 + 3*r\/4.\nAnswer: -3*r*(r - 2)*(r - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -3*q + 100 - 117, -5*q = 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 2*m**2 + 5*m + 3636. Let f be b(0). Is ((-11)\/(-2) - 5\/10) + f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 334225 and 1595?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-21)\/14)\/((-2)\/(-8)). Let g = 9 + u. Suppose -5*x + 36 = -g*a, 4*a = x + 4*x - 33. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z - 22. Let a(s) = -2*s - 21. Let m(n) = -2*a(n) + 3*u(n). Let j be m(15). Let c = j - -109. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33561943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 + 83.2. Let n = g - 7. Let j = n - -1. Is j greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 - 32. Suppose -972 = -r*m - 7*m. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 + 1.6. Let o = a - -12. Let g = -13.99958 + o. What is g rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7344913 minutes in seconds?\nAnswer: 44.069478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 + 0.04. Let v = o - 0.12. What is the third smallest value in 2, v, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 4\/(2 - 4). Suppose 2*p + 48 = y, h*y - 81 = 4*p + 11. Let a = p - -57. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 4*m**2 + 26*m - 22. Let p be l(3). What is the nearest to 1\/4 in p, 6, -11\/4?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 122, 219, 340?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -331.61?\nAnswer: 331.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 28 - 14)*(3 + 1 - 1)*(20*i**2 - 2*i - 14*i**2 - 2 + 0).\nAnswer: -1062*i**2 + 354*i + 354","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**3 - 7*s**2 - 21*s - 5. Let k be w(-2). Let f(x) = -4 - 13*x**2 + 4 + 7. Let i(n) = -6*n**2 + 3. Determine k*i(v) + 3*f(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 19*y + 107. Determine n(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 660 - 320. Let r = -193 + u. Is 2709\/r + 3\/(-7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -23 + 48 + q**2 - 22 - 6*q + 0*q**2. Let v be y(-3). Suppose 5*p - 20 = 3*p. Calculate the highest common factor of v and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 28 = 3*s. List the prime factors of 1100\/5 - (s - 1).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28010533 < -28010532?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -8*r**3 + 6*r + 4. Let a be c(-1). Find j, given that 4 + j**4 + 135*j**3 - 140*j**3 + 4*j + a*j**2 + j**5 - 11*j**2 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*7\/140*-1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2332 and 52677.\nAnswer: 122842764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 4)*(8 - 5 + 30)*(i**3 - 2*i**3 - i**3 + (3*i - 2*i + 4*i)*(-5*i**2 + 4*i**2 - 2*i**2)).\nAnswer: 1683*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2*0.0215\nAnswer: -0.043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.36182342119 take away 0.4?\nAnswer: -8.76182342119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8)\/(17\/476).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4163 * -93331\nAnswer: -388536953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -19359.\nAnswer: -5\/19359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.05 - 0.05. Suppose 13*m - 1597 = -6472. Let a be m\/(-140) + 63\/(-28). What is the closest to 1\/4 in 0.3, c, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 313*j - 132*j - 3 - 84*j + 314*j to a + p*j and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -22*x**2 + 17*x + 51. Let q(t) = 88*t**2 - 68*t - 212. Let w(g) = 25*a(g) + 6*q(g). Let r(n) = -7*n**2 + 6*n + 1. What is -17*r(m) + 6*w(m)?\nAnswer: -13*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**10\/75600 - c**9\/15120 - 7*c**5\/60 - 6*c**2. Let q(x) be the third derivative of o(x). Factor q(y).\nAnswer: 2*y**3*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107519*o**3 + 107517*o**3 - 215040*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 14*y + 170. Determine j(-7).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1520097?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 7*t - 5*t. Suppose -f = t - 455. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 - 301*l**2 + 142*l + 1209. Determine z(150).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 16*a**2 - 11*a - 31. List the prime factors of o(-3).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12957204?\nAnswer: 2, 3, 13, 83059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26242002*d**3*k**3*q + d**3*q - 34*d**2*k**3*q - 7*d**2*k**3 + d*k**3*q - 8171*k**3*q - k**2*q wrt d.\nAnswer: -157452012*k**3*q + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 x when four letters picked without replacement from {p: 9, x: 7}?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3522061118?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -121 - -120.99894. What is o rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = r + 3191. Let n = r + 926. Let i be n\/(-1) - (4 - 2). Round i to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 29780.\nAnswer: 208460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/3240 and 91\/432.\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**4 - 3*g**4 + 4*g**4)*(17*g - 43*g + 4*g + (5*g - 3*g - 3*g)*(2 - 1 + 0) + 1 - 1 + 2*g).\nAnswer: 21*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183106 divided by -406.\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 12.6. Let v = 0.4 - o. Let p be ((-630)\/1800*8\/(-77))\/(1\/(-5)). Which is the third biggest value? (a) p (b) v (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 563105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 685*k**3\/3 + 3*k**2\/2 - 2*k - 78. What are the prime factors of p(1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 3:20 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -110, -154, -216, -302, -418?\n\"Answer: -t**3 - 3*t**2 - 28*t - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czgccsclzccccccgz. What is prob of picking 2 z and 1 g?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*sqrt(85)*-3)\/(sqrt(405)*1 - (-6*sqrt(20)\/sqrt(4) - sqrt(5) - sqrt(5))) + -1.\nAnswer: -1 + 12*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*2\/8 - 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 6:33 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzil when four letters picked without replacement from {i: 4, w: 6, z: 2, l: 6}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 1538*b**2. Let n(v) = -172446*v. Calculate i(n(h)).\nAnswer: 45736464044808*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6*o**2 - 10*o + 1. Let a(x) = 5*x**2 - 9*x. Let r(n) = -5*a(n) + 4*c(n). Give r(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**2*t**3 + 41*o**2*t**2 + o**2*t + o**2 - 134*t**3 + 6*t**2 wrt t?\nAnswer: -12*o**2 - 804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/2)*w*w)**49)**1*(w*w*w**(-1)*w*w)**(-6\/7)\/((w*w\/((w*(w\/(w\/w**(-1\/8)*w*w))\/w)\/w*w*w))\/w**(-7)) assuming w is positive.\nAnswer: w**(6149\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 795 - 791. Solve -5*o = -4*l - 5, 0 = o - 1 + z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -105, -362, -761, -1266, -1841, -2450, -3057, -3626?\n\"Answer: 6*t**3 - 107*t**2 + 22*t - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 367037417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 0.02 (b) -248 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (1 - 3) + 1 + -17.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14285732, 14285737, 14285742, 14285747, 14285752, 14285757?\n\"Answer: 5*v + 14285727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*-2)**2 + -1.\nAnswer: 2447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 14 = 68. Suppose -4*m - z = -l, 0*l + 3*m = l - 15. Calculate the common denominator of l and 37\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55860 divided by 21\nAnswer: -2660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/33 - -8\/11. Let l = -0.278 - 0.022. Put -0.5, l, f in ascending order.\nAnswer: -0.5, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**3 + 2*m**3 + 4*m**3 - 4*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9. Let j(g) = g**2. What is -h(m) - 5*j(m)?\nAnswer: -5*m**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 + -15)*2\/(-4). Solve h*r = -17 + 14 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 - 256 = -7*s. Calculate the remainder when s is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 take away 6926330?\nAnswer: -6926358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*b - 93018 - 3434794 = 2676221. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74*129494\nAnswer: 9582556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 4. Let p(x) = -x + 5. Let s(r) = 4*a(r) - 3*p(r). Let j be s(-5). What is j rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2633.20004 rounded to 1 dp?\nAnswer: 2633.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 543054 (base 6) to base 8\nAnswer: 127312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 6. Let s = -134 + 132. Give g(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**3\/6 + 3*p. Let n be 7 - (6\/(-3) + 3). Let o(a) = n*a + 3*a + 16*a**2 - 9*a. Give o(x(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x - 33. Let y(i) = 5*i - 34. Let s(u) = -3*j(u) + 2*y(u). List the prime factors of s(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**4 + 76*p**3 - 30168*p**2 - 804016*p + 25124384 = 0.\nAnswer: -62, 19, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 0.04626, -4, 2\/11, 240\/17, -1\/9, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*r + 137*r = 36. Solve 0 = y + 5, y = h - 5 - r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30957.9 times -4.72\nAnswer: -146121.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -g - 17*l + 12*l, 3*g - 5*l = -85. Suppose 0*i - 2*i = -28. Let z = i - g. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -14*l**3 - 23*l**2\/2 - 44. What is the second derivative of x(m) wrt m?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.16 + -0.018. Let b = w - -0.858. Let l(i) = i - 1. Let q be l(6). Sort b, -1, q in increasing order.\nAnswer: -1, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 114486379864 + 0.5.\nAnswer: 114486379864.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121 + -119. Let q be -1*r + ((-60)\/(-4))\/3. Solve 0 = q*j - 12, 3*m - j + 4*j = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -111430 and -0.12.\nAnswer: 13371.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + w - 7. What is l(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*y. Let o = 59\/21 - 22\/7. Which is the nearest to y? (a) -4 (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -3, -2\/331, 116, -0.5, -0.22?\nAnswer: -2\/331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25094970227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(70) - sqrt(70)*-2)\/sqrt(10) - -2*sqrt(28)\/(sqrt(4) - (sqrt(4) + (sqrt(36) + sqrt(4) - sqrt(4))))) + -1.\nAnswer: -11*sqrt(7)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 54*d**2 - d - 2. Let q be u(-1). Suppose z + 22 = 2*g - z, 5*g - 4*z = q. What is the highest common divisor of g and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 205225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**3 + p**2 + 2*p - 1. Let m(j) = 44*j**3 + 3*j**2 + 120*j - 3. Give 3*i(a) - m(a).\nAnswer: -29*a**3 - 114*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92946d (base 15) to base 13.\nAnswer: 159c1b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1048562 - 634583. Let v = l - -534021. What is v rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pee when three letters picked without replacement from {f: 4, p: 1, e: 2, o: 4}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 1)*((0*c - 2*c + c)*(4 - 1 - 2) + 2*c + 0*c - 3*c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 0*l**3 + 1 + 2 + 4*l**2 - 7*l - 13*l**2 - l**3. Let o(r) = 11*r + 3. Let u be o(-1). Determine s(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 1)*(-16*n**3 + 28*n - 28*n)*(2 - 2 + 2*n) to the form l*n**3 + q*n**2 + w*n**4 + m + g*n and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x. Suppose 3*b = 4*h - 2*h - 6169, 0 = h - 3*b - 3077. Let j(c) = -h + 3092 - 29*c. Give g(j(o)).\nAnswer: -145*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -892 + 5590?\nAnswer: 48ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162, 385, 684, 1071, 1558, 2157?\nAnswer: 2880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*j - 19, -5*q + 6*j - 39 = 2*j. Let d = 19 + q. Suppose u + u - d = 0. Calculate the smallest common multiple of u and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 13*g**3 + g**2 - 1. Calculate t(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - 2 - h + 3)*(764*h + 194*h + 21*h) in the form m*h**2 + x + l*h and give m.\nAnswer: -1958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/60 and -149\/120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzoo when four letters picked without replacement from oofzftofzjzzfzz?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2694 - -18.991?\nAnswer: 15.7216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/((-62)\/(-558)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1694) + sqrt(504)\/sqrt(4))\/((sqrt(28) + sqrt(7))*-2 + sqrt(189)\/sqrt(3)))**2.\nAnswer: 1250\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 251080.3703 + 9169\nAnswer: 260249.3703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -7*z + 3*z. Let k = -4 + z. Solve k = 4*c - 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 16 + 10*v**2 - 5\/3*v**3 - 20*v. Find a such that i(a) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5556 = 16*p - 3730 + 2182. Solve 12 = -447*o + p*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4))**46*c\/(c\/c**0)*c**(-1\/2) assuming c is positive.\nAnswer: c**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k*q**2 - 54*k*q + 1748*k - 2*q**2 + 36037*q + 20070 with respect to q.\nAnswer: 2*k*q - 54*k - 4*q + 36037","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 23 + -11 + 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01105 + 0.71105. Which is the second biggest value? (a) u (b) 5 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 9*m**2 - 9*m + 5. Let v(z) = -z**2 + z. Let g(f) = h(f) + 3*v(f). Calculate g(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/724 + 532224\/15204\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*o - 4*o = -4, o = 0. Let c(a) = -a**3 + 7*a**2 + a - 1. Let z be c(7). Put 5, z, f, -5 in increasing order.\nAnswer: -5, f, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 5*u**2 - u + 4. Let s be j(-7). Let h be ((-80000)\/12)\/(1\/s). What is h rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5003401 divided by -1.\nAnswer: 5003401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*g + 49 = -g, -2*v + 4*g = -14. Let q(a) = -a**3 + 12*a**2 - 10*a - 3. Let w be q(v). Calculate the greatest common divisor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10\/11 (b) 2 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 7 = -5*n. Suppose 0 = q + 3*r - 52, -q + 5*r - 6*r + 44 = 0. Let j = q + n. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 607.19.\nAnswer: 60.719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*j + 5 + 5*j + 2*j + 26*j to the form k + v*j and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**4\/6 - w**3\/3 - 173*w + 2. Calculate r(-6).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2257 and 2989?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**0*x)**(-2\/89)\/(x\/((x**(-1\/2)*x)\/x)*(x\/(x\/x**(4\/3)))\/x)*(x\/((x\/(x**1\/x))\/x))**(-1\/17)*(x\/x**(-1\/3))**(-47) assuming x is positive.\nAnswer: x**(-195559\/3026)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(192) + 1 + sqrt(192) + 5)*3 + (sqrt(192) - -2*(sqrt(192) + -1))*-6 + -1)*-5)**2.\nAnswer: -138240*sqrt(3) + 711936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 11*f**2 - 148*f + 80. Give i(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8708068 + 2808936. Let b be -2474783*2*-2*-1. Let y = t - b. What is y rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80395943 is divided by 813.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*s - 817*s + 1678*s + 1892*s = -48800 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Convert 13559 (base 10) to base 5.\nAnswer: 413214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2524, 3, -92, -1, -2\/11, -3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -265 + 304. Suppose -77 = 5*b + 198. Let y = n + b. Which is greater: y or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.024, 0.4, 5, 7\/2 in decreasing order.\nAnswer: 5, 7\/2, 0.4, -0.024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 0)*(4 - 5). Let s be k + (-3 + 8 - 2). Find the first derivative of 10 - 3 + 4*j**3 - 2*j**s wrt j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + 67*b + 505 = 659. What is l in -1\/2*l**b + 10 + 1\/2*l = 0?\nAnswer: -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*c - 20511 = -143*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 138*x + 6210. Let h be r(-45). Solve h = 3*v - p + 3, -19*p = -5*v - 17*p - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vzzkvyf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 43035.55 millilitres?\nAnswer: 43.03555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-60)\/(-4)))\/((-34)\/255)*68*-1?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**5\/30 - 11*y**4\/12 + 37*y**3\/6 + 27*y**2. Is w(22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, b: 1, s: 1, a: 1, m: 2}. What is prob of picking 4 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*d - 64. Suppose d - 6 = 5*l. Suppose l*o - 48 = -0*o. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3380 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1301498?\nAnswer: 2, 11, 59159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y + 1. Let k be o(3). Suppose 0 = -n + k - 4. Suppose 3*r = 2*r + n. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1046849.\nAnswer: 1046849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*v - 1)*(-69*v - 198*v - 72*v) + (v**2 - v + v)*(-2 + 0 + 1) - 2*v**2 - v**2 + 2*v**2 - 3*v**2 - 4 + 1 + 8.\nAnswer: -683*v**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -132, -1 in decreasing order.\nAnswer: -3\/8, -1, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -n + 192, 3*n + 4*a = a + 636. Suppose -n = -28*z + 16. Factor z*h**2 - 1\/2*h**5 - 7*h**3 - 9\/2*h + 1 + 3*h**4.\nAnswer: -(h - 2)*(h - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/56 and 75\/16114.\nAnswer: 64456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**2)\/f)\/f)**(14\/9)*f**(-2)*f**3 assuming f is positive.\nAnswer: f**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*n - 7*n. Let a be (-6)\/(-14) - (-440)\/(-1288). Let b = -10\/57 - 3\/19. Put a, n, b in increasing order.\nAnswer: b, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40554 and 20?\nAnswer: 405540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(-5*sqrt(81)).\nAnswer: -sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 7*n**2 + 48*n + 247. Let f be s(-7). Which is the second biggest value? (a) f (b) 0 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqnmvqqmv. Give prob of picking 1 n and 1 m.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 132446?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 8:08 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 71, 91, -2, 20, 4 in decreasing order.\nAnswer: 91, 71, 20, 5, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**0)**(-4\/11)*p**2\/p*p\/(p*p**(-7)) assuming p is positive.\nAnswer: p**(80\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10190 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 + 289*n**3 - 4959*n**2 + 21951*n.\nAnswer: -n*(n - 271)*(n - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 506*c - 511*c + 4345. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47404 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 4*c + 4. Let z be j(4). Solve z*b - 16 = 8*b, 5*t - 2*b = -7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t - 1 + 12*t + 1.\nAnswer: 23*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1912)\/(-24)*(1 + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 91\/(-14)*-2*2. Let l = y + -22. Calculate the highest common factor of l and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 386 divide 459293092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1018 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((-1 + sqrt(300))*6 - (sqrt(300) + -1)*-5)**2 - ((sqrt(108)\/sqrt(4))**2 - (((sqrt(3) + 1)*-1)**2 - sqrt(3)))).\nAnswer: -2419*sqrt(3) + 36402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3651 greater than -3525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*p + 13*p + 35 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1536))\/sqrt(12).\nAnswer: -48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1183058092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/532 - 227\/532. Put 0.4, n, 1\/29 in ascending order.\nAnswer: n, 1\/29, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17, -45, -93, -161, -249, -357?\n\"Answer: -10*t**2 + 2*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4200786540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-200)\/(-40)*(0 - 1)\/(-1). Let u(k) = 10*k**3 + 7*k - 5. Let p(r) = 15*r**3 + 11*r - 8. What is h*p(v) - 8*u(v)?\nAnswer: -5*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1758\/11 + 160. Let k = -9.44 - 0.06. Let q = -9 - k. What is the nearest to 2\/7 in q, o, -7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 849001703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from mxpmppppmamaxamammm?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18317396*s**3 - 598084*s**3 + 302130232*s**3.\nAnswer: 283214752*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**3 + 4*h**2 - 2*h - 8. Let k = 31 - 34. What is the units digit of p(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5)*(8 - 9).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2bc (base 16) to base 5\nAnswer: -10300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 88\/(-6)*3\/2. Let m = 22 + s. Let i(g) = 44*g**2 + 0 - 45*g**2 + m. Let z(h) = 9*h. Determine i(z(k)).\nAnswer: -81*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/9 - (-44168)\/(-198918). Let o = b + 585683\/110510. Calculate the common denominator of o and -53\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41434 != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 + 22556*s - 317983210.\nAnswer: -2*(s - 28195)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 36477 * -5\nAnswer: -182385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*n = -175*n - 45. Solve -7*u = -n*u + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 360\/7 + -1189\/14. Find the common denominator of 44\/191 and b.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 755266244441\/3573 - 211381539. Let m = b - 4\/397. Let q = 213\/16 + 167\/16. What is the common denominator of q and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2720948443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/3 - (0 + -3). Suppose 3*h = 5*h + w - 2, 2*w + 23 = 5*h. Suppose 3 = f + d, 3*f + f = -d + h. Which is the nearest to f? (a) 2\/3 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27594.7024 to the nearest integer.\nAnswer: 27595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**5 - p**5 - 206*p**2 - 1065*p**6 - 112*p**2 - 517*p**2 wrt p?\nAnswer: -127800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n - 2*n)*(-10*n**3 + 11*n**3 + 5*n - 14*n).\nAnswer: -n**4 + 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 327.8076 * -8.8.\nAnswer: -2884.70688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -73038 and -0.1534?\nAnswer: 73037.8466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4*a + 16*a - 3 + 2.\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 15*c + 20*c - 12 = 0, -5*r = 4*c - 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1919184.\nAnswer: 2, 3, 39983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (10 - (-18 - -38)) - -20?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15811)\/(-1467) - (-2)\/9 - (82 + -22)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g + 12. Suppose 0 = -6*p + 3*p + 60. Calculate the smallest common multiple of p and y(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13680911, 13680912, 13680913, 13680914?\nAnswer: 13680915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(11) + 3 + 3.\nAnswer: -sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**2\/3 - 288082*c\/3 + 12389375\/3 = 0.\nAnswer: -288125, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**2)\/v**(-5\/4))\/(v*v**(-2\/3)*((v\/(((v\/v**2)\/v*v)\/v))\/v)\/v) assuming v is positive.\nAnswer: v**(35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 11:05 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2798.54 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 + 90*h + 92*h + 184*h - 91 - 26*h.\nAnswer: 340*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253468848.\nAnswer: 2, 3, 73, 72337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 104*(4 - 0 - 3). Let i(q) = q + 8. Let c be i(-7). Let m be c\/4 - x\/12. Calculate the greatest common factor of 27 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.1 (c) 0.05 (d) 0.7 (e) 7 (f) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(392) + (-1*sqrt(392)*-1 - sqrt(392)))\/sqrt(7))\/(sqrt(72) + 2*sqrt(72)*3))**2*-3.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(-2)\/(-5 - -3). Suppose -2*k + s*b + 10 = 0, b + 3 = -k + 2. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1232 = -18*u + 82. Sort -3\/7, -2, 6, u in ascending order.\nAnswer: -2, -3\/7, 6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 83 = 673. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*a = -108, 4*a = -m + 35 - 3. Differentiate m + 39 - 51*p - 2*p**2 + 138 - 17*p - 20 with respect to p.\nAnswer: -4*p - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/20)\/(144\/45).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131188699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, s: 5, q: 1, z: 5, k: 2}. What is prob of sequence ffsk?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15025 (base 6) to base 3\nAnswer: 10021122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -60. Let z = v + -4. Let o = 47 + z. What is the greatest common factor of o and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 + 38*i**3 - 29*i - 39*i**3 + 2 + 1 - 5 + 17*i**2 wrt i?\nAnswer: -6*i + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 193 = -305. Let b = 160 + v. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*q**3 + q**2 - 36*q - 2*q**4 - 2 - 28*q - 55*q - 15*q**3 + 9*q**3 in the form o + l*q**3 + u*q**4 + b*q**2 + a*q and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 2*r + 10, -r = 10 - 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13058 + -44\nAnswer: -13102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2647426957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -775*y**2 + 5 - 5.\nAnswer: -775*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 511557 (base 8) to base 2\nAnswer: 101001001101101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2. Let h(c) = 16266*c**2 - 96*c. Calculate h(k(o)).\nAnswer: 260256*o**4 - 384*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 - 0.08. Let s = -0.980078 - z. What is s rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -28\/155?\nAnswer: -28\/155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*m - m = -9, -3*i = 5*m - 20. Let g be ((1 - 3) + i)\/7. Sort -5, 0.3, g.\nAnswer: -5, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -718 or -719?\nAnswer: -719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -230.3785 rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15392 greater than or equal to 15390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7769?\nAnswer: 17, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2. Suppose 21 = 4*t + 3*j, -4*t + 5*j = j. Let w(y) be the second derivative of 0*y**2 + 0*y**t + 0 + 1\/6*y**4 - 2*y. Calculate v(w(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*k + 2305858 + 894146 = 0, u + 3200006 = -3*k. Round u to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -7415.\nAnswer: 7415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -23.9. Let y = 3.79 + x. Is y equal to -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3348849 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 15*o. Let u(j) = -5039 + 2*j + 5039. Calculate l(u(w)).\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 0 - 10\/25. What is the smallest value in b, -0.3, 2\/19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*q - 1. Suppose 0 = 6*j - 9*j + q. Suppose 24 = -j*o + 90. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 2*z + 12, 19*g - 23*g + 3 - 9 = 2*z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/84 and 101\/2740896?\nAnswer: 19186272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31941729511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44*y - 21*y - 1 + 20*y)*((-4*y - y + 4*y)*(2 - y - 2) + 3*y**2 - y + y) in the form f*y**3 + z*y**2 + t*y + g and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (-5 + 4 - 1). Suppose 0 = -4*t - 3*i + 5 + 9, z = 4*t + 2*i - 16. Let g(l) = -5*l + 1. Let d be g(-1). Solve 5*w - t = d*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 985839 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: Round 0.495659102 to 4 decimal places.\nAnswer: 0.4957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a + 4*a - 4*a. Let y(t) be the first derivative of 29*t**3\/3 - 1258. Give w(y(p)).\nAnswer: 58*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 23 = -57. Let h = m + 22. Solve -n = 2*n + h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3163 - -3163.000006886. What is j rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3722999887\/56848 + -2226729\/34. Let t = m - -3\/304. What is the common denominator of t and (-6)\/(-10) - (-4506)\/(-360)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 4*t**2 - 4*t. Suppose -6*v + v = 0. Let p be v - 1\/(-2)*-10. Determine h(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*l - 30 = 0, 4*p + 5*l - 3*l - 54 = 0. Calculate the remainder when -10 + 4 + 2 + 34 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 140.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -885.95?\nAnswer: 877.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 319767.56 to the nearest 100.\nAnswer: 319800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/1492?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**9\/60480 - w**8\/6720 + w**5\/10 - 15*w**2. Let c(a) be the third derivative of d(a). Factor c(r).\nAnswer: r**2*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33244458 a multiple of 420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - k**2 - 19*k - 1. Determine v(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 489.8124 years to centuries.\nAnswer: 4.898124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*x + 10*x - 41*x + 1062840 = 0. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*o, -o + 4 + 4 = 2*i. Suppose 5*w - 8 = 12. Calculate the remainder when w is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/9 and 76\/240387.\nAnswer: 721161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 20408, -1\/6 in ascending order.\nAnswer: -9, -1\/6, 20408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/14*9839\/(-21). Let k = 701 - s. Find the common denominator of 2\/(-4)*29\/6 and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 + -79. Suppose -3*g + 2*g = t*j - 9, 20 = 2*g + 2*j. Solve 1 - g = 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 885030926 to the power of 1\/4, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 108*v**2 + 4*v**5 - 37*v**3 - v**5 + 15*v**4 - 41*v**3 - 18*v**3 = 0.\nAnswer: -9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**7\/35 + w**6\/40 - w**5\/10 - w**4\/8 - 6*w**2. Determine b, given that l(b) = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 8*a - 12. Suppose -6*l - 385 = -403. Determine f(l).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20854\/685 + 6\/137. Let d = l + 30. What is the closest to 0.1 in 4, 1\/3, d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*s**5 - 9126*s**4 - 8337*s**3 + 37038*s**2 + 34164*s - 2136 = 0. Calculate s.\nAnswer: -178, -2, -1, 1\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -194280 (base 10) in base 11?\nAnswer: -122a69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8463.075 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 1 = -0*u + l, -5*u - 4*l = -5. Let s(x) = -x - 1. Let t be s(u). What is the second smallest value in t, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*3)\/((68541\/(-558))\/(-737)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43033031033 - 3?\nAnswer: -43033031040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11693 - 0.6.\nAnswer: -11693.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -3*j - 95. Calculate the highest common factor of j and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2200, -4413, -6624, -8833, -11040, -13245?\n\"Answer: y**2 - 2216*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 196856, 393710, 590576, 787460, 984368, 1181306, 1378280, 1575296?\n\"Answer: g**3 + 196847*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4872 is divided by 936?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (240\/(-90))\/(4\/(-18)). Suppose -14*b + 1188 = -t*b. What is the greatest common factor of b and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-10)\/24) + (-291 - 300734\/(-1078))?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/1365 and 59\/325.\nAnswer: 6825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 30*n + 17. Let l = -350 + 330. What are the prime factors of p(l)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18469934.9203 + -18471006. Let y = u - -1071. What is y rounded to three dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -8*k + 15. Let p be n(2). Is 2\/71 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = 3*l - 54, 4*l = -5*r + 54 - 8 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 1:55 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1170 is divided by 330?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 818565*l**2 + 112*l + 4101 wrt l.\nAnswer: 1637130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 20316009.4 to the nearest 10000.\nAnswer: 20320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14546 and 0.3?\nAnswer: -4363.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**4 - 2*w**5 - 2*w**4 - w - w**5 + w + 4*w**5 - 4*w**5 - w**5 + (w**2 - 2*w**2 + 0*w**2)*(4*w**3 + 0*w**3 - 2*w**3).\nAnswer: -6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 33 = 5*s, 166*s - 164*s - 18 = 2*t + 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 519.\nAnswer: -1038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (1 - -3) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24a (base 16) in base 8?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33022 (base 7) to base 5.\nAnswer: -230443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18566585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 4466.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 286530102 a multiple of 1114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.556085 millennia in months?\nAnswer: 102673.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.3 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1052, 1955, 2714, 3329?\nAnswer: 3800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2174841217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*h**3 - 37*h**3 - 38*h**3 - 54*h**3.\nAnswer: 38*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 153604\/(-24437) - 250\/(-42).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 11 = 4*w - 36, 3*m = -3*w + 51. Suppose w*c + 8912 = 22*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7780.\nAnswer: 2, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -1.1. Let r = -17827 + 17823. Which is the nearest to -0.5? (a) 0.3 (b) p (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26794 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-204)\/85*(-5)\/2 - 11. Let v(h) = 2*h**2 - 5*h - 59. What is v(g)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 36318597.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6474.72 take away 0.01?\nAnswer: -6474.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1560962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.22 + 0.22. Which is the nearest to 2? (a) 4 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p + 928599 = -268671. What is p rounded to the nearest 100?\nAnswer: -39900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17\/((-4)\/80*-2) + 1.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 237 - 396. Let w = 242 + a. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 16*x**3 + 16*x**2 - 48*x + 75. Give o(2).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 1104 = -3*z. What is the smallest common multiple of 14 and (-4)\/10 + z\/(-30)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 14 = 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -73748367.\nAnswer: 2\/73748367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h - 15. Let m be p(-5). Is -5 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/2 - 6 - -12. Which is the third smallest value? (a) j (b) -1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 551004709?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 29*j**2 - 390*j + 27. Determine z(15).\nAnswer: 702","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10992, -86592, -291792, -691392, -1350192, -2332992, -3704592?\nAnswer: -5529792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -141748 divided by -7?\nAnswer: 141748\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/5, 0.23, 2209306?\nAnswer: 2209306","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107902 + -107870.0292. Let f = -96.024 - a. Let w = -128 - f. Round w to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2975355853 + -4.\nAnswer: -2975355857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*f = -21, 2*f = y - 3*f + 23. Find the third derivative of 4*k - 22*k - 7*k**y + 160*k**5 - 5*k**2 + 15*k wrt k.\nAnswer: 9600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.036 + -14.736. Let m = -3 + 2.9. Which is the closest to -1? (a) 2\/11 (b) o (c) -26 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/18 - 87\/(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2151785722 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2*n + 428, j + 3*j - n - 579 = 0. Let d be -2*(-1)\/(-2) + j. Suppose 5*t + 0*z = 4*z + d, -4*z = 3*t - 55. Solve 0 = -2*m - 3*m + t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*b**5*o**2 - b**4*o**2 + b*o - 3*o**2 wrt b.\nAnswer: -1140*b**3*o**2 - 12*b**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 n when three letters picked without replacement from nnnnhhenheeheehhehhe.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1595207 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + 3*c - 4*c + (-7*c + 14 - 14)*(31 + 11 - 7) - 3*c + 3*c + c - c + 0*c + 2*c + c - c - c + (0 + 0 + 2)*(-2 + 2 - c).\nAnswer: -248*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2. Suppose 5*z - 18 = 2. Let a(h) = 2*h**2 - h**2 + z*h**2. Calculate r(a(u)).\nAnswer: -25*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**(-25)*n\/(n*n**0)*n**(-4)*n*(n\/n**(2\/7))**(-1\/4)\/(n**(-1\/2)\/(n\/(n**(-3\/2)*n)*n)) assuming n is positive.\nAnswer: n**(-5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 4627 + 19595. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3192346871.\nAnswer: 7, 456049553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 887.7286 nanometers?\nAnswer: 0.0000000008877286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-53)*6\/(-20)*(-185)\/(-222)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3216 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 714 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 9*y**2 + 16 - 16 - 5*y**2 + 0. Let d(r) = 4*r + 3*r + r. Calculate w(d(m)).\nAnswer: 256*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -22 - 13*d + 20 + 24. Let q be k(1). What is the greatest common factor of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 466 divide 225842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2667 (base 14) to base 6\nAnswer: -51135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24.27 * 0.4.\nAnswer: 9.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -53 - 9*p**2 + 53 + (0*p - 2*p + 4*p)*(13 - 13 + 8*p) + (2 + 4 - 2)*(p**2 - 2*p**2 + 2*p**2).\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/81396 and -113\/25704.\nAnswer: 488376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + u**2 + u**2 + 0)*(-32 - 12*u**2 + 32).\nAnswer: -24*u**4 + 24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 235792.09999988 - 235792. Let t = u + -0.1. What is t rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a kilogram in grams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -1\/2*s**2 + 0*s + 69. Let o(v) be the second derivative of 4*v**3 + 2*v. Calculate w(o(t)).\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-15))\/((-85)\/1275).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*l**4 + l**3 + 324*l wrt l.\nAnswer: 348*l**2 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*s - 24 = 132 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2122, -2045, -1830, -1405, -698, 363?\n\"Answer: 12*g**3 - 3*g**2 + 2*g - 2133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -14. Let z(i) = -i**2 - 9*i + 1. Let g be z(t). Let r(y) = -y**2 - 27*y + 97. Let o be r(-30). Do o and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 16) in base 2?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/7 - (-1204)\/(-2450) and 1\/55?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 - 2 - 9 + 12 + 0 - 4.\nAnswer: u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134375 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-29)\/(-4) - (-5 - -4). Let b = i + -8. Which is bigger: b or 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*s**3 - 14*s**2 - 16*s + 8.\nAnswer: 2*(s - 2)*(s + 1)*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1 + 5 - 5*u - 3 + u. What is c(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -91\/883 less than 3\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.7*-1383.\nAnswer: -32777.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 210 - 204 + m**4 + 0*m**2 + 2*m**2 - 4*m**3 as h + t*m**3 + p*m**4 + y*m + u*m**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(3\/2)*u))\/u*u*u*u**(-4)*(u**(-4\/3)\/u)\/((u\/(u**6\/u))\/u) assuming u is positive.\nAnswer: u**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 48 = 3*a - 2*t, 0 = 3*t - 3. Sort 3, a, 0, -5 in descending order.\nAnswer: 3, a, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -119, 3, -3, -360 in descending order.\nAnswer: 3, 2, -3, -119, -360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12985 (base 12) to base 16\nAnswer: -63f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10984 - -1298. List the prime factors of u.\nAnswer: 2, 3, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -h - 2. Suppose h*o + 208 = 3*o. Calculate the least common multiple of 2 and (o\/4)\/(1*2).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 30*s - 35. Let c be t(5). What is the greatest common factor of c and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 8:13 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*h - 187, 8*r - 4*r - 2*h + 182 = 0. Let u(t) = 2*t**2 + 19*t + 22. Let a be u(-12). Let y = r + a. List the prime factors of y.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*m = 0, 0*m = 4*u + 3*m. Let h be (-1 + 11)\/(u + -1). Let s = h + 17. What is the least common multiple of 11 and s?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4*w**4 - 20*w**3 + 32*w**2 + 48*w = 0.\nAnswer: -6, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/4, -635.041, -1\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46? (a) -2\/5 (b) -1.3 (c) -2\/9 (d) 0.5 (e) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, x: 8, o: 2}. Give prob of picking 2 x and 1 j.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 289*d**2 - 4 - 291*d**2 - 2 + d**3 to the form u + s*d**3 + v*d**2 + h*d and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 83?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 7 = -11*r + 57, 2*m = r - 16. Suppose -3*a + 9 = 0, -5*j + 7 = -5*a + 32. Sort 4, j, r, 5 in increasing order.\nAnswer: j, r, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((416232\/82)\/(-108)).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 881588845?\nAnswer: 5, 103, 241, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/1 + 0 + -1. Suppose -4*y + 14 + 218 = x, y + j*x - 69 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25 + (-1 - -2)*-1. Let k be (-11)\/(-4) + (-2)\/(-8). Let n be (k\/6)\/(1\/6). What is the highest common divisor of n and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**6\/600 - 21*b**5\/100 - 41*b**4\/40 - 61*b**3\/30 + 82*b**2 + 2*b. Factor w(k).\nAnswer: -(k + 1)**2*(k + 61)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/20 + (-9)\/15. Let c(d) = d**2 + d + 23. What are the prime factors of c(x)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 2\/11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 96\/18 - (0 - -2)\/6. Suppose -8 = 4*x + 4*n, n - 3*n = 5*x + 7. What is the tens digit of ((-32)\/10)\/(x\/s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -x - 4, 0*x - 5*x = 35 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 56 = 7. Let f(t) = 3*t - 1. Let z be f(1). Suppose -17 = -z*u + n. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 24*x**2 - 4 + 13 - 10*x - 34*x. What is the least common multiple of s(-22) and 119?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*z**2 - 72*z**2 + 151 + 101*z**2 + 4*z - 4*z as v + w*z**2 + t*z and give v.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**5\/60 - 3*r**2 + 8*r. Let m(p) = -7*p**2 + 19. Give j(m(c)).\nAnswer: 49*c**4 - 266*c**2 + 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17, 210, 729, 1736, 3393, 5862, 9305, 13884?\n\"Answer: 27*f**3 + f**2 + f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -1 (b) -15 (c) 3\/4 (d) 12 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1454043?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -426, -398, -360, -318, -278, -246, -228, -230?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 6:01 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {y: 1, v: 2, t: 11}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 9 + 1, -2*g + 4*d + 1844 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.217319 rounded to 3 decimal places?\nAnswer: -0.217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8043 + 0?\nAnswer: 8043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and 0.110994?\nAnswer: -1.553916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -388.462 - 0.538. Let y = f - -391. Let v = 27\/161 + 6\/23. Put v, 0.1, y in increasing order.\nAnswer: 0.1, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -149 - -149.3. Which is the third biggest value? (a) -5 (b) 2\/13 (c) -0.4 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*j**2 - 3*j**2 + 5*j**2)*(108 - 11*j - 108).\nAnswer: -22*j**3 + 11*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -v + 8. Let d = -8 - v. Suppose 5*n + 202 - 184 = -3*k, -24 = 4*n + 4*k. Which is greater: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -304292 divided by 2396\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - s - 4, -3*m + 2*m = 2*s - 7. Solve -8 + 2 = -m*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4464 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -3*u + 11 + 10, -u - 37*j - 301 = 13*j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 135, 111, 63, -15, -129?\n\"Answer: -m**3 - 6*m**2 + m + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 + 7734*m**3 + 14876149*m**2 - 299847180*m + 1503112900.\nAnswer: (m - 10)**2*(m + 3877)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41\/84 + 1\/12. Suppose -i + 1 = -0*i. Let o = 7.37 + -7.47. Which is the nearest to o? (a) -5 (b) i (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 18*u - 23. Let a be c(17). Let l be 255\/18 - (-1)\/a. Let s = 15 - l. Put s, 2\/5, -2\/5 in decreasing order.\nAnswer: s, 2\/5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -9*t**2 - 2716*t - 40629. Give a(-286).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, l: 13}. What is prob of picking 3 c?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1.1, 5, -0.27, -1 in descending order.\nAnswer: 5, -0.27, -1, -1.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4 = 2. Let i = -0.1 + 4.1. Let o = 0 + -1. What is the second biggest value in o, p, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -129 <= -8985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 0 + 17 + -34.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -3*m - 45. Let w = m + 86\/3. Which is the nearest to w? (a) 0.4 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j + 2*j**2 - j + 17*j - 5*j**2 - 7*j to the form y + s*j + n*j**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*x = -62*x + 12765. Is 115 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29787513?\nAnswer: 3, 7, 1418453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 17 = 2*k - 3*k, 4*k = 4*i - 20. What is the greatest common divisor of 6 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h**3 + 3*h**2 - 3*h - 2. Let w(z) = 5*z**3 - 3*z**2 + 3*z + 2. Let a(x) = -6*n(x) - 5*w(x). Let j(p) = -4*p + 44. Let r be j(12). Determine a(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 1\/7 (c) 0 (d) -4 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 20 = 6*j. Let h(w) = -w**3 + w**2 - w + 2. Let o = 4 - 4. Let r be h(o). Solve -r*k = 1 - j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -25. Put -0.03, 1\/5, y in ascending order.\nAnswer: y, -0.03, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 49 = 4*i + 77 - 80, 0 = 2*q + 3*i + 12 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 5*u - 25. Let i(c) = c**3 + 5*c**2 - c + 1. Let g be i(-5). Let y be 59\/3 - (-2)\/g. Calculate the greatest common factor of u and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiiiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b + 7*b + 2898 = 6*b. Solve b*g = 199*g + 38 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) - sqrt(187)*-1 - sqrt(187))\/sqrt(11) - sqrt(17)) + 5 + 4)*5.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -329636.592 - 224.\nAnswer: -329860.592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**7\/180 + k**6\/240 - 4*k**5\/15 - 29*k**2. Let c(f) be the third derivative of q(f). Differentiate c(j) with respect to j.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*-1 + ((-6)\/(-2))\/(2124\/(-2832)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -9. Suppose -4*d - d = z + 31, q*z = 3*d - 39. What is the remainder when ((-2)\/1)\/(4\/z) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16430 - -16424. What is the biggest value in -0.7, -0.5, w, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*164*(-65)\/650.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3645)\/(-486)*(-130)\/(-75)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/2)\/((-1)\/(-1)). Let g be 54\/(-9) + 5 - 0. Put 9, g, k in ascending order.\nAnswer: g, k, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*x - 3. Suppose 2 = 5*o - 5*i + 37, o = -x*i + 8. Let g be o\/(-7) + 14\/(-49). Solve -5*s + 11 = -4*z, -3*z + s - 6*s + 18 = g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1210 + 26612?\nAnswer: 31122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*q**2 + 3*q**2 - 90*q**2 + 7*q**2 + 8*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.891562 minutes?\nAnswer: 53493720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 8) to base 10\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1094, -2675, -4240, -5783, -7298?\nAnswer: -8779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven halves of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 11:33 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-46)\/(-4) - -1 - 5\/10.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 5*o - 15, -o - 2*o - 9 = c. Let j be (-76)\/140 + (-1 - (-56)\/49). Is c greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p - 4*p + p. Let c(d) = -18*d**2 + 21*d + 3. Let h(b) = -19*b**2 + 28*b + 4. Let r(m) = 4*c(m) - 3*h(m). Determine k(r(j)).\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/35 - 6\/35. Suppose -4 = z, -4*z = -4*i - 5 + 1. Which is the closest to 0.2? (a) 1\/5 (b) v (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 + 1.02. Let j = x + 0.12. Let i = -0.89 + j. What is i rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {e: 1, v: 1, p: 2, t: 11}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 + -1. Let t = -0.356 - -0.031. Let y = 4.675 - t. Which is the third biggest value? (a) 17 (b) y (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 - (0 - (-3 - -5))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z + 1. Let f be s(-1). Suppose f*m = -2*d + 642, -4*m = -m. Let b = -167 + d. What are the prime factors of b?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*q = -18, 5*j - 11 = 2*q - 3*q. Suppose j*c = -2*c + 20. Solve l + c = -5*w - 13, 0 = 5*l - 3*w + 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 2*b = -13 + 15, -6 = -2*a + 2*b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28525428*s - 28525428*s - s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.063 + 67?\nAnswer: 61.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 234067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22273 * -33.65.\nAnswer: -749486.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91442*i**4 - 4*i**2 + 416*i + 5?\nAnswer: 2194608*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8222*s - 570*s - 1428 + 711 + 715)*(2*s**4 - 2*s**2 + 2*s**2).\nAnswer: 15304*s**5 - 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*x - 95*x + 39328 = 5*t, 39314 = 5*t + 3*x. What is the remainder when t is divided by 183?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 8*y. Let c(k) = k. Let b(m) = -10*c(m) + g(m). Let q(u) be the second derivative of 0*u**2 + 2*u - 1\/12*u**4 + 0 + 0*u**3. Calculate b(q(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 6. Suppose c = j*c. Put c, -2, -3 in descending order.\nAnswer: c, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 0.5 (c) 0.8 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from {y: 8, t: 1, k: 8, o: 2, x: 1}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43828 - 43828.43058. What is z rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3 + 5. Solve x + u = 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 9*g**2 + 2*g. Calculate the lowest common multiple of z(9) and 41 + (-209)\/(-55)*5.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/16 and -107\/816.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -4 (c) 0.1264\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3275207*i - 3275232*i + 6550484*i.\nAnswer: 45*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 85.7419 millennia?\nAnswer: 1028902.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 3.67 in ascending order.\nAnswer: 3, 3.67, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*z**2 - 86*z**2 + 49*z**2.\nAnswer: -167*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*m + 565 = m, 3*u = -2*m + 340. Suppose -5*d + 755 = -u. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(sqrt(55)\/sqrt(5)) + sqrt(11))**2 + sqrt(11) + -4.\nAnswer: sqrt(11) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*q + 29*q + 8*q**2 + 3*q - 25*q**3 as p + o*q**2 + a*q**3 + b*q and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*a*g*n*s - 3*a*g*n + 3*a*g*s - a*n + 7*g*s - 4*s wrt n.\nAnswer: 31*a*g*s - 3*a*g - a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5589\/161 - 38)*28\/(-72)*-6.\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 6 = 3*c, 3*o + 0*c + 5*c = -2. Solve -3*x = -5*y - 0*x - o, -3 = x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -4 (c) 1\/8 (d) 676\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 201, -2\/9, -175?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/295 in -0.2, 2\/7, -1\/2, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5228*q - 3069 = 5217*q. Calculate the highest common divisor of 81 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25453?\nAnswer: 25453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98 + -63. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/12547 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80.44 - -308.56. Is 1 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 782994033 to the power of 1\/3, to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72 - -74. Suppose -5*i + 4*n = 3 + 27, 0 = 4*i + q*n - 2. Let x be (-2 - -4)*(-1)\/i. Solve t = x - 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 35, 110, 317, 722, 1391, 2390, 3785, 5642?\n\"Answer: 11*j**3 - 2*j + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 5:07 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n. Let x(r) be the second derivative of r**4\/12 + 2*r**3\/3 + 88*r. Let w(h) = -h**2 - 11*h + 1. Let y be w(-11). Give y*x(g) + 5*k(g).\nAnswer: g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.18 + 0.86. Let g = -0.14 + i. Let b = g + -1.8. What is the nearest to 4 in 0.2, -0.1, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 - 44. What are the prime factors of v\/81*753 + 8\/36?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 2. Let z be 0*2\/x*-4. Solve z = -4*b - 0 + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -17 - (-10 - -29 - 18 - -1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-38)\/(-9) - (-4 - (-38)\/9). Put 2\/3, -4, x in ascending order.\nAnswer: -4, 2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.703497 litres to millilitres.\nAnswer: 4703.497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 54\/24 + 9 + (-1744112)\/(-64). What is the greatest common factor of t and 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 48, -27, -114, -219, -348, -507, -702, -939?\n\"Answer: -f**3 - 68*f + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l*l**(-3)*l*l)\/l)**44*(l**2)**13)**(-4) assuming l is positive.\nAnswer: l**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 5. Suppose -60*v - 184*v - 19*v = 1315. Sort -1\/34, s, -4, v in descending order.\nAnswer: -1\/34, s, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 g, and 1 i when four letters picked without replacement from {f: 4, a: 3, m: 2, g: 3, i: 7}.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n**2 - n - 1. Let z(s) = 9*s + 5. Let x(v) = -2*v - 1. Let p(y) = -5*x(y) - z(y). Determine -a(m) - 3*p(m).\nAnswer: 7*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10258 is divided by 905?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6615696 litres in millilitres?\nAnswer: 661.5696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2229 = s - 10925. Suppose -9*l + s = -l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 + 2.95. Let w = -2.5 + 14.8. Let f = w - 12. What is the closest to 0.1 in f, 0.5, g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {e: 3, f: 3, v: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 11:13 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssnsssssssnns. Give prob of picking 1 n and 2 s.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6353119065?\nAnswer: 3, 5, 43, 313, 31469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-10*162\/(-108)*(-4)\/(-132).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9820 and 26?\nAnswer: 127660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 56177113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123321 - 1420?\nAnswer: -125141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 21*j**2\/2 - 98*j - 48. Let v be u(5). Let h(a) = a**2 - 7*a + 3. What is h(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + 10. What is the remainder when u is divided by (-18)\/3*65\/(-26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*k - 3*j + 1, 38 = 3*k + j. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57721360 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 36 + -16 + 12 + -15 - (0 - -3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/13 - 5016*t**2\/13 + 3145032*t\/13.\nAnswer: 2*t*(t - 1254)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 4*j + 2*j)*(-2 + 2 + 2)*(-2 - 1 - 1).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2473026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -677*6*(6\/(-36))\/(-1). Let s = r + 74473\/110. Are 0 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -137a4880 + -5?\nAnswer: -137a4885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 38, -27, -128, -271, -462?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1670, -5, 12, 4, 2.\nAnswer: -1670, -5, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-204)\/(-238)*98\/(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102258 and 3289?\nAnswer: 1124838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10000001001101 (base 2) to base 7\nAnswer: -33052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/4)\/(5*(-2)\/12). Let c(f) = 12*f**3 + 10*f**2 - 10*f - 4. Let k(r) = -4*r**3 - 3*r**2 + 3*r + 1. Give u*c(a) + 10*k(a).\nAnswer: -4*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 41141213 (base 5) to base 13\nAnswer: b8cc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2*(-5 + 16 + -5). Suppose 4*j + a = 258, 4*a - 200 = i*j - 6*j. What is the remainder when j is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 27*n**2 - 138*n - 6. Give y(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21262 - -50566. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*2\/(-12))\/(((-19305)\/78)\/45)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -9 + 0*t + 1\/2*t**2. Let w(p) = -7*p + 9*p + 6*p. What is w(u(z))?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1648, -1649, -1650, -1651?\n\"Answer: -v - 1647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/4*n**2 + 0 - 3*n = 0. What is n?\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -437*y + 20101. What is q(46)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.22 + -333.22. Let r = p + 327.5. Put -2, r, -28, 2\/3 in descending order.\nAnswer: 2\/3, r, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + 38107*d - d**3 + 2 - 86512*d - d**2 - 71950*d.\nAnswer: -d**3 - 2*d**2 - 120355*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 96*s**2 - 96*s**2 - 6 + 34*s**3 + 25*s**3 in the form p*s**3 + r*s**2 + i + t*s and give p.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 1. Solve -2*x + 5*x - 9 = z*u, 5*x - 12 = 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.29 and 27.3459.\nAnswer: 27.6359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 450, 580, 710?\n\"Answer: 130*q + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 2\/3, -8, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**8\/336 - n**7\/210 + n**6\/120 + n**5\/60 + 13*n**2\/2 + 15. Let w(o) be the second derivative of a(o). Factor w(g).\nAnswer: -g**2*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 787575 divided by 262525.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 10 = 2*u, 9*t + 4*u + 2 = -33 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 76\/3111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 5:09 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 14, 28, 44, 62, 82, 104?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -727608 divided by -181902.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-2510)\/(-628) - 4). What are the prime factors of 12\/18 + a\/(-6)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176)\/(sqrt(4)*-1))\/(sqrt(8)\/sqrt(2)*4) + 0)**2.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 31*w - 40. Give o(30).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/19, -5, 0.5, 1, 3, -1174 in increasing order.\nAnswer: -1174, -5, -3\/19, 0.5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2132549929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -3. Let n be (1\/(-4))\/(5\/z). Is 8 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -4. Suppose 0 = 3*o + 3 + 3. Let u be 3 + (-3 - 5\/o). Is u > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -186043.95 to the nearest 1000.\nAnswer: -186000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -996 + 996.1. Which is the nearest to 0? (a) y (b) -0.2 (c) -12 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3. Let h be y(-1). Which is bigger: 12 or h?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 2. Let f(b) = -b**2 - 9*b - 11. Let l = -14 - -9. Let r be f(l). Suppose 5*p = z - 15, -p + r = -5*z - 4*p. Calculate t(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**3\/3 + 5*r**2\/2 + 3*r - 1. Let z be 68\/14 + (384\/42 - 9). Let m be a(z). Solve -q = -4*q + m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4104 and 26600?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -3 (b) -2\/29 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -15*f**3 - 7*f**2 + 1326. Let r(u) = 13*u**3 + 6*u**2 - 1326. Give 7*r(z) + 6*t(z).\nAnswer: z**3 - 1326","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5, -6, -7, -8?\n\"Answer: -b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3186, -18, -3, -13 in ascending order.\nAnswer: -18, -13, -4, -3, 3186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**36)\/(p*p**21) assuming p is positive.\nAnswer: p**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91371?\nAnswer: 3, 7, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 3325?\nAnswer: -4\/3325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + ((0 - 2) + 1 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 936204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3, 20, 31, 1\/5, 5, 181, -6?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -686, -690, -704, -734, -786, -866, -980?\n\"Answer: -l**3 + l**2 - 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -225*j + 335*j + 122*j + 327*j + 78*j as y*j + i and give y.\nAnswer: 637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 77*w**4\/6 + w**3\/2 - 1585*w**2 - 408*w - 1. What is the derivative of c(z) wrt z?\nAnswer: 308*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 284 and 2?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0) + -9 - -10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -0.34.\nAnswer: 0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -20*f**3 - f**2 + 15*f + 12. Determine z(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 360.82 less than -10612283782?\nAnswer: -10612284142.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**2\/4 + 1410891*q\/2 - 663537804627\/4 = 0.\nAnswer: 470297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*w + 21 = 200*w. Solve -3*g - 5*q = -44 + 10, g + w = 2*q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1969032959 + 1969033075.9999913. Let z = m + -117. Round z to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-350)\/(-60))\/(-5) - (-2)\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129, -255, -375, -489, -597, -699?\nAnswer: -795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/91 or 1?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-612)\/(-136)*130\/3. Solve -202*z + m*z + 21 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -167\/63 + 17\/7. Let v = 2.2 + -0.2. Which is the third biggest value? (a) v (b) -0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w**3 + 2*w**2 - 46*w - 2. Let s(y) = 2*y**3 + y**2 - y - 2. What is -i(h) + s(h)?\nAnswer: -3*h**3 - h**2 + 45*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1090, -995, -938, -937, -1010, -1175, -1450?\nAnswer: -1853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i**4 - 1269*i**3 + 4*i**2 - 8*i - 2001. Let c(k) = k**4 - 2*k**3 + k**2 - 2*k + 1. Let m(r) = -4*c(r) + h(r). Differentiate m(v) wrt v.\nAnswer: 8*v**3 - 3783*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 813 divide 616254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -644498 or -644520?\nAnswer: -644498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8189 divided by -19?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-1 - 15)) + 10 + 13?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 3. Let v be k(4). Let w = 3 + v. What is the third derivative of -a**2 + 3*a**4 + w*a**2 - a**4 wrt a?\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 + 74. Suppose -c - t + 8 = -0*t, 3*c + 4*t - g = 0. Let p = 1 + 2. Calculate the remainder when c is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 35 = 4*r. Suppose 3*f - r = -1. Let k = f - -3. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 0*x**4 - 1\/3*x**3 + 0*x - x**2 + 1 + 1\/60*x**5. Let q(y) be the second derivative of t(y). Give q(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38486 to the power of 1\/2, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 8. Let j(d) = 19*d - 4. Let x be j(z). Calculate the greatest common factor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**5 - 9*r**4 + 3*r**3 + 21*r**2 - 12 = 0. Calculate r.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -8*w**3 - w**2 - 3*w - 1. Let i be p(-1). Suppose 16 = i*s - 5*s. Find the second derivative of -4 + s*b + 3*b**2 + 4 wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, 0.3, -0.017, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 14. Let o = 2 + -3. Is o at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95.2 + 107. Let t = 11.79999906 - o. Round t to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 718 is divided by 57.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 161 = -5*m + 699, 4*m + f = 431. What is the greatest common divisor of 54 and m?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 7*v = 4*c - 26, -5*c = -20. Solve -v*f + 5*o - 20 = 0, 3*f = -5*o + 4 - 24 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 194*q**2 - 2482*q + 550284. Determine j(192).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -44 (b) 0.1 (c) 1.7 (d) -0.11 (e) 0.07 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a73 (base 11) in base 12?\nAnswer: 6aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n**3 + 6*n**2 + 6*n - 34. Let z(o) = 6*o**3 + 5*o**2 + 5*o - 34. What is 5*t(m) - 6*z(m)?\nAnswer: -m**3 + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-0.016.\nAnswer: -0.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4847 is divided by 102.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11623*z**5 - z**2 - 2*z - 462.\nAnswer: -697380*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x + 21. Suppose -3*l + 15 = -3. Let m be d(l). Let p = -1 - 0. Are p and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10, 0, -2, -22, -66, -140?\n\"Answer: -p**3 + 17*p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, m: 5, c: 1, l: 1, y: 4}. What is prob of picking 2 y, 1 r, and 1 c?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2659470.\nAnswer: 2, 3, 5, 11, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 212 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -0.129.\nAnswer: 0.0645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*y - 9 = 0, w - y = y + 9. Let u be (0\/3)\/(-2)*-1. Let q = w + u. Calculate the least common multiple of 3 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 183494875 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**7\/j*j)*j*j**(-1\/16)*j)\/((j*j\/(j*j*j**13*j))\/j*j*(j*j\/j**9)\/j) assuming j is positive.\nAnswer: j**(287\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**5\/60 - 5*z**4\/24 - z**3\/3 - 2*z**2. Let d be y(-3). Find the second derivative of 4*q**2 + 3*q - d*q - 2*q**2 wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r - 2*r - 6*r + 0*r - 20*r**2. Let v(s) = s**2 + 9*s - 11. Let u be v(-6). Let a = -23 - u. Let t(m) = 7*m**2 + 4*m. What is a*i(n) + 17*t(n)?\nAnswer: -n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -10*u. Let g be k(1). Let j(h) be the first derivative of h**4\/4 - h**2\/2 - 22. Let c(x) = -5*x**3 - 5*x**2. Let b(i) = g*j(i) - c(i). Factor b(q).\nAnswer: -5*q*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/125 (b) -149 (c) -11 (d) 1\/4 (e) -0.05 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -39, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2 + 4*n**2 - n + 2*n**2 + n**3 - n**2 + 0*n**2. Give i(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 399.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1212572495?\nAnswer: 5, 19, 499, 25579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -789 - -794. Let m = -2\/3 + 19\/3. Is x at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 91322 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**6\/120 - y**5\/60 - 100*y**3\/3 - 325*y**2. What is the first derivative of g(w) wrt w?\nAnswer: 3*w**2 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -81093253 and 164286?\nAnswer: 81257539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1112849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14354 (base 6) in base 10?\nAnswer: 2302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 263765*l**4 + 422084*l**2 wrt l?\nAnswer: 6330360*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l - l - 3*l - 2679*l**2.\nAnswer: -2679*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 - 8 = 5*i - 104 for i.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -96.7735137 to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 364*u - 23534 + 23534 + 191*u to t*u + k and give t.\nAnswer: 555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/(-4) - 0 - -1. Let s be (-2)\/b + 544\/(-6). Let w be 0 + 7\/((-21)\/s). Calculate the greatest common divisor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**5*y - 16305945*w**3*y + 9339139*w**2 - 2*w*y wrt w.\nAnswer: -120*w**2*y - 97835670*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 205*g + 36 + 133*g + 13*g**2 + 71 - 335*g as p + v*g + d*g**2 and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**4 - g**3*m + 17*g**3 + g**2*m - g*m - 665*g wrt g.\nAnswer: -48*g - 6*m + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m + 5. Let i = -217 + 212. Let h(u) = -4*u - 2. Calculate i*h(s) - 2*z(s).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j - 4 = -84 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-434)\/(-12)*105\/(-420)*12\/14?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1240 and 6639208?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1260\/54)\/(-35))\/(3\/(-108))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 5 (c) -2\/11 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + u)*(-3*u + 0*u + 0*u)*(2 + 1 - 5)*(2*u + u + 0*u) to f*u**2 + n + t*u + h*u**3 and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/7 - -34\/35. Which is the third smallest value? (a) -5 (b) z (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -8*k - 7. Let r(d) = -7*d - 6. Let x(q) = -6*h(q) + 7*r(q). Let o(n) = -4*n - 7. Calculate o(x(c)).\nAnswer: 4*c - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5)*p**(-6)*(p\/(p*p*p**(-1))*p*p)**44)\/((p**(2\/7))**(-1\/9)\/(((p\/(p\/(p**(2\/5)\/p*p)))\/p)\/p**0)) assuming p is positive.\nAnswer: p**(25777\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((0 + 2\/(-15))*579\/(-386)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k**(-4\/9))\/(k*k*(k**(7\/3)*k)\/k*k*k*k*k**(-1)) assuming k is positive.\nAnswer: k**(-61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -129 and -3.\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -19*o**3 - 3*o**2 + 4. Let a be z(-2). Is 25 a factor of (6\/(a\/(-150)))\/((-1)\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 222, 5, -5, 21\/10, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (3 - -3 - (-44 + 27))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/11, -0.9 in descending order.\nAnswer: -2\/11, -0.9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + 79776.0647?\nAnswer: 79807.0647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328*v**2 + 160*v**2 - 186*v**2 + 310*v**2 - 4.\nAnswer: 612*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kppx when four letters picked without replacement from mkxmkmkmkxpmmmpkm.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 10*l - 1. Let d(w) = 19*w + 4. Give v(d(i)).\nAnswer: 190*i + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -531229.\nAnswer: 2124916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + -9. Let s(r) = r + 23. Let q be s(p). Suppose 79 = 2*n - h, -2*n - q*h = -4*h - 91. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/6 - 470*m\/3.\nAnswer: m*(m - 940)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 872*g + 3587. Is a(58) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 + 2*j - 1. Let a be n(-3). Let w be (1 - 0)*(a - 9). Suppose -w*x + 3 = 1. Calculate the highest common divisor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + r + 1, 0*f - 2*f + 24 = -4*r. Is (9716 + 6)*f\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 437 and 1357.\nAnswer: 25783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47 and 468449.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 226905, 453816, 680729, 907644, 1134561, 1361480, 1588401?\n\"Answer: a**2 + 226908*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 + 41*g + 35. Let k(n) = 3*n - 41. Let w be k(7). Let v be t(w). Let h(o) = o - 10. Let r be h(v). Sort 28, 1, r in descending order.\nAnswer: 28, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 7*q**2)*(-3*q**3 + 0*q**3 + 2*q**3) + (2 - 2*q**4 - 2)*(22 - 22 - 9*q) + 4*q**5 - 2*q**5 + 0*q**5.\nAnswer: 13*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*d - 1270 + 2813 + 4577 = 0 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 149*c + 280. Calculate v(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*l**3 + 6060*l**2 + 33552*l + 15260.\nAnswer: -4*(l - 763)*(l + 5)*(2*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-9))\/i**(2\/11))**(-3\/26)\/(i**(2\/3)\/((i\/i**(-5))\/i)*i**(-1\/6)*i\/i**(-2\/7)) assuming i is positive.\nAnswer: i**(8325\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + 3. Let j be (-3 - -11)*l\/12. Solve 4*i = 2*i - j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 778.461 and -374.1765.\nAnswer: 404.2845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454126824?\nAnswer: 2, 3, 41, 17093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/3 + 526*k.\nAnswer: -2*k*(k - 789)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1 = -y, -35*l + 34*l = -5*y + 17. Solve 4*z + 4*p - 36 = 0, 5*z - y*p + 12 = 3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33558 and 5838.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003562809034 rounded to 6 dps?\nAnswer: -0.003563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (-19 + -12 + -14) - (16 - 6).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 597 = -20*n + 497 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 8, -4*v + 5*q - 28 + 8 = 0. Is 12*(v - 3)*-3 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-581)\/637 - -2 - (-1)\/(-2)*(-12)\/(-7)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 34 = -4*k + 2*k, -3*k + 4*y = 49. Is k equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.3, -2\/9, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11407 + 11931. Are -4 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**2 - 15*h - 39. Calculate q(-6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f2 + 83?\nAnswer: -6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493 a factor of 9148922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/1)\/(-21 - -22). Suppose 0 = 21*t - 32 - 31. Solve -2*q = t + k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 117 - 59. Suppose 6*r + 4*h = 3*r + z, -88 = -5*r + 2*h. Suppose -s = 2*m - 22 - 22, 2*s = -3*m + 92. What is the remainder when s is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/13 > -135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 6 = 14. Solve -4*f + 3*z - 9 = 0, -12 = 3*f - 4*f - s*z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 5*o**2 - 2*o + 2. Let a be 2 + (2 - (-120)\/(-5)). Let d = -26 - a. Give f(d).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 1145*k**3\/6 - 243*k**2 + 439*k. Find the first derivative of c(q) wrt q.\nAnswer: 1145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -3\/2 (c) -0.4 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66486 is divided by 545.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 a when two letters picked without replacement from ykkpyypakpyyyyypkya.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5267 + 10528 - 5261 + 6*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98626.2669 seconds to weeks.\nAnswer: 0.16307253125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.91, -4, -0.7?\nAnswer: -0.91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 2*v = 8*s - 594, 5*s - 1437 = 3*v. Calculate the least common multiple of s and 24.\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73994 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 14*u + 172. Let k be n(-22). Let r(o) = -6*o - 15. Determine r(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w + 913 + 335 = 11*w. What is the lowest common multiple of w and 12?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20936 + -20288. What is the remainder when a is divided by 108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*a - 49, 0 = -0*a - 4*a - 5*c + 65. Solve -4*i + 4*g = -4, g = -4*g - a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 244138.492 - -110022356.508. Let l = 110266522.0000028 - c. Let f = l - 27. 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: Calculate the smallest common multiple of 45 and 1343245.\nAnswer: 12089205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -213 (c) -1106\/3 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 12:46 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -181\/3 + 61. Let x(k) be the first derivative of -1\/2*k**4 - r*k**3 + 0*k + 2*k**2 + 2. Factor x(f).\nAnswer: -2*f*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 39 - 9 + 6 = 0. Let p(l) = 2*l**3 - 3*l**2 - 5*l. Let s(n) = 4*n**3 - 5*n**2 - 9*n. Give o*s(q) - 5*p(q).\nAnswer: 2*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o + 7. Let q(r) = 6*r + 13. Let t(p) = 7*b(p) - 4*q(p). Let h be t(-2). Suppose -h*m = -0*m - 21. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 1\/2, 0.3, -2\/1311, 0, 3, 1\/31?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -11*x**7\/2520 + x**5\/20 - x**4\/6 - 9*x**2. Let b(d) be the second derivative of a(d). What is the derivative of b(k) wrt k?\nAnswer: -22*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d - 23*d - 3*d. Let j be w(1). Let z be ((-4)\/6)\/(4\/j). Solve -3*b = -4*c + 8, c + 0*b = -z*b + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqqlaqa. What is prob of picking 1 q and 1 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 3539747\nAnswer: 7079494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -c + 269, 205 = -3*j + 2*c - 69. Let y = -45 - j. Suppose -4*q - 31 = -123. What is the remainder when y is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -303 + 335?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e3475 + ca?\nAnswer: e3550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 7*w - 6*w. Let l = 9 + -4. Suppose 0*t + l*t = w. Calculate the highest common factor of t and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*a + 2024 - 2025 - 3*a)*(2*a**3 + a**3 - a**3)*(-68*a + 1 - 103*a + 62*a).\nAnswer: -6758*a**5 + 280*a**4 - 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 280\/45*1530\/3570.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**3 - 14*s**2 - 23*s + 29. Is u(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*p - 64 = 0, 0*w + 2*p - 14 = -w. Let v = w + -14. Put 3, -3, v in increasing order.\nAnswer: -3, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 n when four letters picked without replacement from {n: 6, o: 4, e: 3}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 33. Calculate the highest common factor of y and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -133.\nAnswer: -133, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**2 - 773320*m + 2319915 = 0?\nAnswer: 3, 154661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 0 - 418*k**2 + 410*k**2 + 0. Let d(s) = -3*s. Calculate l(d(w)).\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - 1b26a7?\nAnswer: -1b26ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/((9\/3)\/63)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/9 + 112\/(-18). Let k(d) = d + 10. Let n be k(i). What is the derivative of 3 - 2*a**2 + a**2 + a**2 - n*a**2 wrt a?\nAnswer: -8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.1966 to 1 dp.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-56)*508*(-4312)\/1848\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 3 (c) -54.477\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 384 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (-4 - -4))\/(-3). Solve -3*j - 2*j = 0, r = 4*o + 2*j - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - l + 1. Let u(i) = 50*i**2 - 16*i**2 + i - 10*i**2 - 10*i**2. Calculate -r(s) - u(s).\nAnswer: -15*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -10*i. Let k(o) = 64*o**2 - 11. Let s(m) = -2 + 13*m**2 - 48*m + 26*m + 22*m. Let h(q) = -2*k(q) + 11*s(q). Determine h(j(n)).\nAnswer: 1500*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c + 3. Suppose -9 = -4*o + 3. Suppose w = -y + 5, -o*y + 5*y - 24 = -4*w. Solve -w = -c*m + 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 s when two letters picked without replacement from {n: 3, v: 4, s: 2, e: 6, c: 2}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 8*g - 2. Let b = -9 - -7. Let f be 12\/(3\/(-6) - b). Give k(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from {v: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -93346, -186621, -279896, -373171, -466446?\n\"Answer: -93275*l - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwwwwwwwlwlwwww. Give prob of sequence llw.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f*i**2*r**3 - 1657194*f*i**2 + 2*f*i*r**3 + 6*f*r**2 - 53*i*r**2 + 1282*r**3 wrt i?\nAnswer: 4*f*r**3 - 3314388*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3614 a factor of 963202466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3496, 6943, 12682, 20713, 31036, 43651?\n\"Answer: 1146*w**2 + 9*w + 2341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -13 + 7. What is the nearest to q in -1\/7, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2639, -2621, -2593, -2561, -2531, -2509, -2501, -2513?\n\"Answer: -o**3 + 11*o**2 - 8*o - 2641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30065.61, -2, -1, 3 in increasing order.\nAnswer: -2, -1, 3, 30065.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(5)*2)**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-4)\/(-8)*18\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/9 + 7\/(-3). Let i be b\/(-5)*180\/3. Suppose 0*m - m = -i. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -112 + 2*l + 109 + l - 2*l. Let x be t(5). Calculate the highest common divisor of x and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 2*j + 4. Let h be g(3). What is the third derivative of -49 + 3*y**4 - y**4 - h*y**5 - y**2 + 88 wrt y?\nAnswer: -1500*y**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*f - 229 = 125 + 199. Let o(z) = z**3 + 6*z**2 - 6*z - 11. Calculate o(f).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n - 1 = 0. Let w be (-4 + n)*102\/(-9). Let p(s) = -1 + 0 + 465*s - 1 - 463*s. Let o(l) = 11*l - 11. Determine w*p(y) - 6*o(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k - 42. Let m be u(-6). Is (-8)\/(m\/(-3)) + 2901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4259*i**2 - 29820*i**2 + 146982*i**2 + 67946*i**2.\nAnswer: 189367*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -93, -1737, -1, -481 in increasing order.\nAnswer: -1737, -481, -93, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -332 - 21313321000?\nAnswer: -21313321332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.6 + -7.6. Let c = m - 0. What is the closest to -1 in 5, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 0 + 1)*(w**2 + 13 - 327*w + 329*w + 6*w**3 + w**2) as i*w**2 + q*w + c + v*w**3 and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 219634227808 and -2.37.\nAnswer: 219634227805.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q - 2*q - 20*q)*(3*q - 4*q - 2*q)*(q**2 + 0*q**2 + q**2) + 13*q**3 + 6*q**4 - 13*q**3 - q**3 + q**3 + q**4.\nAnswer: 97*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 783286 + 5910*z - 783286 in the form m*z + j and give m.\nAnswer: 5910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2. Let a(h) = h**2 - 8*h + 9. Let u be a(7). Suppose 2*y - 8 = -u. Let v(w) = -y*w + 4*w - 24*w. Give d(v(l)).\nAnswer: 529*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -27 (b) -0.4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-8\/5)\/r)\/r)**43\/(r**(3\/2)*r*r*r**(-12)*r) assuming r is positive.\nAnswer: r**(-1473\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(81) - sqrt(81)*1)\/(sqrt(18)\/(sqrt(216) - sqrt(6))) + (2*sqrt(1470))\/(sqrt(100)\/sqrt(160)).\nAnswer: -1 + 56*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*(((-6370)\/(-156))\/7)\/((-98)\/(-280))?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 = 4*r - 2*m, -59 = -r - 7*m + 2*m. Suppose 0 = -10*p - r + 249. Suppose -2*y - y = -69. What is the remainder when y is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*z - 17. Let f = 44 - 37. Solve -z*u = -f*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**0*b))\/(b\/(b*b\/(b**(7\/5)\/b*b))))\/((b\/(b**(-2)*b))\/(b\/(b**7\/b*b*b))))\/((b**(2\/7)*b*b*b**(1\/7)*b)\/((b\/b**(1\/8))\/b**(-3))) assuming b is positive.\nAnswer: b**(-2507\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/((-4)\/(-16)*-3). Let y(d) = -4*d**3 + 36*d**2 - 32*d - 6. Let n(c) = c**3 - 9*c**2 + 8*c + 2. Let u(x) = -9*n(x) - 2*y(x). What is u(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657305758?\nAnswer: 2, 331, 641, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12036503 and 107.\nAnswer: 1287905821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1396724 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 486624 and 10212?\nAnswer: 11192352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/41? (a) 5 (b) -4.076 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -9. Let u = -5 + 5.7. Let v = u + -0.4. Which is the third smallest value? (a) v (b) -0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-42)\/126)\/((-7)\/(-2))\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13117280?\nAnswer: 2, 5, 11, 29, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 5*f = 32 - 107, 5*i + f = -3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2789818 rounded to 2 decimal places?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 5*g + 1. Let x(f) = -14*f + 61. Let c be x(4). Let r be k(c). Solve -5*d + r = 3*o, -o + 3*d + 2*d + 7 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**2 - 8049 + 8049 + 56022*y**3.\nAnswer: 56022*y**3 + 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -9*r - 15. Let v(a) = -1. What is -k(b) + 15*v(b)?\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l. Let x(k) be the first derivative of 16*k**3\/3 - 13. What is c(x(z))?\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8287007*o**3 - 2*o**2 + 882488*o + 5.\nAnswer: 49722042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**3 - 55*y**2 - 27*y + 4. Determine m(-27).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 669*j - 226*j + 97167 = -218*j for j.\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*y**5 + 115484501*y**3 + 576105668*y**2 wrt y?\nAnswer: -300*y**2 + 692907006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 48*x + 60. Let j be v(-42). Let t = j + 315. What are the prime factors of t?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + -3 - (-10 + 4). Solve -8 = 3*n + 4*p + 1, -2*p = d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/10)\/((28 - 26) + 2403\/(-1215))?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -109 (base 12) to base 10\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10800455?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 4460.9943 to the nearest integer.\nAnswer: 4461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/((-380)\/(-5320)*(-3)\/(-2))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 59424?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-1\/19)*f\/(f*f\/(f\/f**2))*f\/(f\/f**15)*f**(-15)*f*f assuming f is positive.\nAnswer: f**(18\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 153717173 + 6.\nAnswer: 153717179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 209 and 34637.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1631 and 64427762?\nAnswer: 1631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77179 and 7345?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11843778 (base 10) to base 7.\nAnswer: 202445652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 542, 543, 544, 545, 546?\n\"Answer: g + 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 5 = 4*w + 11, -4*p + 2*p - 51*w + 5 = -54*w - 4 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -83 - 366?\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21\/10 in -1\/129, -0.1, 10, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 13*v**2 + 12 - 16.\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (7 + -13)) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 + 24*n**2 + 86*n - 2. Calculate g(-5).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 123*p**2 + 7*p + 27. Let g be b(5). Let c = g - 528. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/8 of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c**(-2)*c)*c))\/c**7*c**(-9)*c**8)\/((c\/c**3*c)\/((c*(c\/c**0)\/c)\/c)*c**(-1)\/(((c*c**(-1)*c)\/c)\/c)) assuming c is positive.\nAnswer: c**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 52287 = 5*a - 52270, -5*j - 14 = 8*a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**6\/180 - i**5\/20 - 19*i**4\/72 + 2*i**3\/3 - 661*i + 1. Find d, given that v(d) = 0.\nAnswer: -3, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 628501347 to the nearest integer?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x - 1. Let b(o) = o. Let c = 14 - -20. Let p = c - 33. Let i = 10 - 7. Give i*b(w) + p*s(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -70012.98 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 6:46 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4) - 114\/12. What is the tens digit of n\/45 + 335\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7633185 to the power of 1\/2, to the nearest integer?\nAnswer: 2763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -347\/5 - -69. Let g = 4.96 + 0.04. Let k = g + -8. Which is the nearest to -1? (a) k (b) 0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*j + 36, -4*j = -j - 5*m - 3. Suppose -j = -5*h - 2*u, -3*h + 6 = -h - u. Suppose -3*g + 99 = z, g - 3*z - 99 = -h*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + k**2 - 2*k + 1. Let b be i(-2). Suppose 3 = a - b. Let g(m) = -m**2 - 1. Let f(q) = q**3 - 3*q**2 - 6. Determine a*g(w) - f(w).\nAnswer: -w**3 - w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12635 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q + 9*q - 2*q)*(-38*q + 23*q + 14*q).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14378 - 14223. What is the highest common factor of 3565 and f?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -344, -690, -1036?\n\"Answer: -346*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8101 = 36*t - 6092 - 43301. What is the remainder when t is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100000110001000010100 (base 2) in base 15?\nAnswer: -9a73e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(45\/(-105)))\/(3\/21). Calculate the greatest common factor of 21 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -313012 (base 4) in base 3?\nAnswer: -11211121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -132 and 71?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1534?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-87)*(-10)\/5?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 15) in base 2?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216) + -5*1*sqrt(216) + -6*(sqrt(216) + sqrt(216)*-1 + sqrt(216)))\/((6*2*sqrt(1452) - sqrt(1452))*5).\nAnswer: -6*sqrt(2)\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 8. Suppose l - n = -2*l. Let f(k) = -3 - 4 + k + l - 5. Give f(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 9.2. Let t = -0.8 - z. Which is the smallest value? (a) 2 (b) -5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**2*w**2 + 69*a**2*w + 50*a*w - 9*a + 1125546*w**2 wrt a.\nAnswer: -4*a*w**2 + 138*a*w + 50*w - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 29797935.39 and -1.3347.\nAnswer: 29797934.0553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 2*z - 2*z. Let l(j) = j. Let q(b) = 9*b. Let c(n) = -51*l(n) + 6*q(n). Determine a(c(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*p + 42. What is the common denominator of ((-1)\/3)\/(p\/(-100)) and -97\/14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x**2 + 4*x + 4. Let d(j) be the first derivative of -55*j**3\/3 + 45*j**2\/2 + 45*j - 6. What is 4*d(t) - 45*f(t)?\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i**4 + 569*i**3 - 4*i**2 - 2745?\nAnswer: 8*i**3 + 1707*i**2 - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -752*t**2 + 4*t + 427.\nAnswer: -1504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, x: 1, z: 4, b: 1, l: 4, g: 1}. Give prob of picking 2 z and 1 l.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2012 (base 3) to base 11.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -311*u = 5*y - 306*u - 395, -4*y - u + 331 = 0. What is the remainder when 2017 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2 + 18. Suppose d + t = 16. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 653, 645, 629, 605?\n\"Answer: -4*d**2 + 4*d + 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10740791 times 0.4?\nAnswer: 4296316.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -6\/11, 32, -0.1?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -191*y - 10426. Let t be b(-54). Let o(z) = 64*z**2 + 3*z - 3. Let a(s) = -2368*s**2 - 112*s + 112. What is t*o(k) - 3*a(k)?\nAnswer: -64*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3236 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -9*c**2 - 5*c + 12. Calculate m(3).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/10 - 421*h\/5 - 841\/10.\nAnswer: -(h + 1)*(h + 841)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1231382847 to the power of 1\/2, to the nearest integer?\nAnswer: 35091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 436*w**2 + 3996*w + 4011. What is i(445)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t = -30*t - 5*o - 113, 19*t + 3*o + 83 = 24*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1399*a - 1828. What is the units digit of o(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10259 is divided by 95.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 + 4*h**2 + 0*h**2 - h**2 - 3 - 2*h. Let n be p(4). Solve n*y = m + 4*m - 5, 24 = 3*m + 4*y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -76*j**2 + 1894*j - 11796. Calculate g(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36871197 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4*s - 1356, 43*y - 44*y - 5*s + 246 = 0. What are the prime factors of y?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 504964 divided by -2\nAnswer: -252482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -4196 to the nearest one hundred.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -47090, -94223, -141342, -188441, -235514, -282555, -329558?\n\"Answer: s**3 + s**2 - 47143*s + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1715 + 4420*w**2 + 1713 - 3428.\nAnswer: 4420*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1536 is divided by 110?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + y - 240. Calculate c(0).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = 3*u + 2*u. Let x(p) = p - 32. Let l be x(0). Let k = l + 45. Calculate the highest common divisor of k and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 - 50. Let u = -21 + t. Is u bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12632 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/76 and -85\/36.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6359\/744 - 16\/93. What is the common denominator of u and -33\/25423?\nAnswer: 203384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10509*u**2 + 10018*u**2 - 1695*u**2.\nAnswer: 18832*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 3*h - 156. Let j(p) = -1670*p + 18385. Calculate the remainder when h is divided by j(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 1 + (0 - -3). Is 5 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-12)\/(-1234)) - -3. Let p = -1403\/12 + o. What is the common denominator of (-6)\/16 + 1133\/88 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10773137*m**2 + 5386564*m**2 + 5386570*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fffbflllb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198588*n - 99317*n - 99295*n = 2184 for n.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*b + 59*b + 106678. What is b rounded to the nearest one hundred?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*s - 22, a + 3*s = 7 + 4. Let d(z) = -z**2 - z - 1. Let m(h) = 3*h**2 - 7. What is a*m(t) - 2*d(t)?\nAnswer: -t**2 + 2*t + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-5) - 0)\/1. Let y = -18 - -26. Let h = y - 12. What is the closest to 2\/3 in z, h, -4\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33664576 is divided by 47819?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 39, 83, 157, 267, 419, 619, 873?\nAnswer: 1187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 1:43 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*v = -0*f + 59, 0 = f - 5*v + 61. Let z = -6 + 6.3. Let n be (2\/8)\/(3\/(-4)). Which is the nearest to 0.1? (a) z (b) n (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 3.2. What is the biggest value in o, 0, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -27. Suppose 5*d - d - x = 0. Let m be 3*((-4)\/6 + d). Let q(r) = -r**3 + 3*r**2 + 3*r - 6. What is q(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + r**2 - r. Let c(o) = -4*o**3 + 5*o**2 - 4*o - 1. Let l(f) = -c(f) + 3*s(f). Let z be l(2). Let d be z\/9 + 55\/15. Sort -1, d, 0.\nAnswer: -1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -2*d**7\/21 - 7*d**6\/15 + d**5\/5 + 13*d**4\/6 - 2*d**3 - 1017*d - 1. Solve n(c) = 0.\nAnswer: -3, -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1968, 3347, 4726?\n\"Answer: 1379*t + 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106412, -212806, -319200, -425594, -531988?\nAnswer: -638382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -84691 and -0.1?\nAnswer: 84690.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2963881*t**3 - 1693936*t.\nAnswer: 17783286*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 16757482?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15177752 is divided by 875?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*c - 323 = -0*f, -4*c = -f + 83. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157569190 to the power of 1\/3, to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 1321066?\nAnswer: 1321101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -12 - 3. Let q = 11 - 15. Let t(k) = 2*k + 6. Let h be t(q). Which is smaller: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 6*u - 4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09122 >= -18\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 4*k - 14, -2061*k + 2065*k = 2*u - 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/2 of a kilogram in grams?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 8094.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 73 (b) -1\/3 (c) -0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 6*x - 12 = 0. Suppose -z = -x*z + 185. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -79873441*f**3 + 3*f + 299354595?\nAnswer: -239620323*f**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ioyioiioyoioi. Give prob of picking 1 i and 1 y.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*s - 22 - 38. Solve 3*k + 2 + s = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 5*r**2 + 8*r - 2. Suppose -4*o = -2*y + 292, -7*o + 12*o = y - 161. Let v = 142 - y. Give c(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 596 - 595.99998311. What is l rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -784c3?\nAnswer: 784c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-2))\/(1\/(-1500)). Round x to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = x - 2*h + 2, 19 = x + 4*h. Suppose 3*n - 58 + x*n**2 + 58 = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/22285 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*v**2 + 254*v**2 - 1214*v**2 + v.\nAnswer: -1029*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 768090 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1411 = -118*w - 3771 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2*706\/(-24))\/((-45)\/(-270))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -38*t**3 + 5*t**2 - 505*t - 1026. Determine b(-2).\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152340.9 tonnes to nanograms.\nAnswer: 152340900000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -8 + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63911 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40615157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3649*s**2 + 54328*s - 54328*s to z*s + t*s**2 + r and give t.\nAnswer: -3649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-12)*3952\/(-228)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 x when three letters picked without replacement from tctwetcxcfctftt?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -718 + 509. Let l = w - -65. Let m = l - -144.0000097. Round m to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37176.58g to tonnes.\nAnswer: 0.03717658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -42, -126, -284, -540, -918, -1442, -2136?\nAnswer: -3024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**3 - 2*k**2 + k. Let f be m(1). Suppose 0 = -5*v + 7 + f. Suppose -v*w + 7 = 1. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1489694572?\nAnswer: 2, 97, 3839419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4738*f*u**2 + 2*f*u + f - 452*u + 2 wrt u?\nAnswer: 9476*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2045*q + 62*q + 3614 + 11449 = 4528 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 728 or 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2425?\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349510 is divided by 1138.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1326 (base 11) to base 6.\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 145\/(-50) + 3 + 55\/(-1550). Let n(y) = y**3 + y + 1. Let b be n(0). Which is smaller: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -398\/13 (c) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 5:15 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 98\/70 - (-6)\/10. Suppose -4*c = 3*n - 28, -9 - 5 = -z*c - 5*n. Suppose 85 = -c*i + 12*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37256 is divided by 466.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/11 (b) 108\/113 (c) -52\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -r + 2*x, 4*r + 8*x - 11*x - 18 = 0. Solve r*d = 19 - 13 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**3 + 7*y**2 - 2*y - 11. Let q(w) = w**3 - 4*w**2 + w + 6. Determine 4*b(t) + 7*q(t).\nAnswer: -5*t**3 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(1 - (-3)\/(-2)). Suppose -z = -m + n, 4*z = -4*m + 1 + 7. Suppose 0 = m*v - 914 + 169. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 8*n - 81. Let c be o(12). Solve -c*s - 3 = -12*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 198 + -229 - 1618\/(-52)\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -5.6. Let n = x + -0.9. Let f = -1 - -1.5. Which is the second smallest value? (a) n (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjjjjujjjjjjjj. What is prob of sequence uujj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 72a90c (base 15) to base 11\nAnswer: 3094736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 4:17 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 68920 = 9*v - 13*v, 2*v = -5*b + 34457. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 12, f: 3}. Give prob of picking 3 o.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*q + 315 = 0. Suppose -3*h + 6*h = q. Factor -20*i**2 - 2 + 1 + h*i**2.\nAnswer: (i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 993 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5 - 400*x**3 - 3819*x**3 + 14 + 96*x**3 - 5 + 51*x**2 wrt x.\nAnswer: -24738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 + 41303*b**2 - 1155607*b - 3838575.\nAnswer: -(b - 41275)*(b - 31)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r. Let y(q) = 283*q. What is j(y(i))?\nAnswer: 1132*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 927343.\nAnswer: 601, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -668.6 - -669. Let u be 4\/(-6) - 16\/(-6). Let g(r) = r**3 - 17*r**2 + 20*r - 60. Let c be g(16). What is the smallest value in c, p, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/4 of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 80701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 3. Suppose 0*r + r = m. Suppose 31 = 5*g + f, -5*f + 3*f = -r*g + 43. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65964 by -5497.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*h - 4232*h**2 + 14*h - 13*h**3 - 5*h**4 - 16 + 5*h**3 + 4235*h**2 + 4*h**4.\nAnswer: -(h - 1)**2*(h + 2)*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1636197595 divided by -3.\nAnswer: 1636197595\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 28*a**2 + 6. Let k(h) = h**2. Determine v(k(o)).\nAnswer: 28*o**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 42\/(-4)*(-5 - 119\/(-21)). Let w(n) = n**3 + 13*n**2 - 4*n - 21. What is the units digit of w(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.5*-4324\nAnswer: -36754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/14 and 19\/595.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 * -1688.\nAnswer: -2363.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4308*s - 4300*s + 2 + 4 + 5*s**3 - 8*s**2 - 4*s**3 + 0*s**3. Let i(x) = 2*x - 4. Let n be i(5). What is p(n)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-6) - (-102)\/9. Suppose 3*g - 18 = -0*g. Let b(z) = -13*z - 13. Let m(i) = 7*i + 7. What is g*b(a) + o*m(a)?\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 848380*k - 25446900.\nAnswer: -5*(k - 169646)*(k - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -210 - -23100?\nAnswer: 22670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23095 is divided by 349?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*6\/27 + 11000\/60. Which is the third smallest value? (a) -0.4 (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(-1 + 1 + 3)*(-k - 5*k + 4*k)*(1 + 2 - 2).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**4 - 17*p**2 - 136 + 3*p + 2*p + 137 to q*p + w*p**2 + s + h*p**4 + z*p**3 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 10*k**2 + 9*k - 25. Let j be i(-11). Do -2 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2125, 7449, 12773?\n\"Answer: 5324*p - 3199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysksavg. Give prob of picking 1 k and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.0726411 years?\nAnswer: 0.8716932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68 + -66. Let m = 297 - 299. Suppose 3*k + 9 = -0*k - 4*d, 0 = -4*d. Sort y, k, m in ascending order.\nAnswer: k, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3.4 (b) 5154 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (7 - (-4 + 9) - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7754107169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pfffggggpfgp.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*w - 19 = 0, -2*u - 4*w - w = -19. Suppose 0 = -3*l - 9, u*l = 4*j - 2*l - 20. Find the third derivative of -j + b**3 + 2 - b**2 wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170306.4446 rounded to the nearest integer?\nAnswer: 170306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.114 - 9.234. Let q = 0.17 + 0.83. Put 10, q, f in decreasing order.\nAnswer: 10, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {f: 1, r: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 80 - -4756.\nAnswer: 4836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -4*k**2 - 5*k + 5. What is the derivative of m(f) wrt f?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1960663 and -0.2.\nAnswer: -392132.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w**2 - 6*w**2 + 3*w**2)*(2*w - w + 0*w)*(-3 + 0 + 1) to the form g*w**3 + j*w + n*w**2 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**3)\/(k*k\/(k*k**(1\/3)\/k)))**42 assuming k is positive.\nAnswer: k**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 0*g - 1\/20*g**5 - 8*g**2 + 1\/24*g**4 + 0*g**3 + 0. Let k(q) = 0. What is q?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 82 + -51485?\nAnswer: -51403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 15. Suppose 4*b + 3*d - 20 = 0, 3*b + 5*d - u = -0*d. Solve -4*v + b*v - 5 = -5*z, -3*z + 3 = -4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2710296 - 2710075.0238. Let g = 0.0238 + o. Let j = g - 247.3. Round j to 0 decimal places.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154534331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -671 + 679.9. Let p = r - 8.9. Let h = 0.4 - -1.6. What is the third biggest value in p, h, -0.2, -10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86 + -81. Solve 5*d = -3*b + m, -12 = -5*b + b - 4*d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1785, -3564, -5343, -7122?\n\"Answer: -1779*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 20593821.\nAnswer: 123562926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m. Let c = 4 - 8. Let a be p(c). Let y(f) = -6*f**2 - 11*f - 3. Let o(r) = 2*r**2 + 4*r + 1. Give a*y(d) + 11*o(d).\nAnswer: -2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2071285, -4142749, -6214213, -8285677, -10357141?\nAnswer: -12428605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -982334 or -982421?\nAnswer: -982421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 742.770404 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -12, -1, 549, -6, 0, 5 in descending order.\nAnswer: 549, 5, 0, -1, -3, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 7*d - 2. Let u be l(-5). Let a be (-2 + -14)\/(-4 - -2). Calculate the highest common divisor of a and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hheehpmphpmehhppehe. Give prob of picking 2 e, 1 p, and 1 h.\nAnswer: 175\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -133 + 86. Let v = 15 + y. What is the units digit of (-57)\/(-2*(-12)\/v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22602 plus -2?\nAnswer: 22600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*r = 109, -5*r + 8 + 212 = 5*w. What is the remainder when w is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109453063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 10 = -15. Let r be (-143)\/(-8) - -1*10\/80. Let h = q + r. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*i - 3*z + 24 = 0, 2*i + 5*z = 25. Let y(v) = -4*v. Let t = -5 - -11. Let a(q) = -t*q + 11*q - 3*q. What is i*a(r) + 2*y(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*5*(sqrt(684) - (sqrt(684) + (sqrt(684) + 4)*-6) - (sqrt(684) + sqrt(684) + -4)*-5))**2 + -3 + -5.\nAnswer: 172800*sqrt(19) + 39401992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2\/1617, -4, -8\/3 in decreasing order.\nAnswer: 0.5, -2\/1617, -8\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -159 or -67111\/426?\nAnswer: -67111\/426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and 146.6284.\nAnswer: -2199.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 78*z**2 + z + 1. Suppose 17 = -2*m + 3*b, 0 = -2*m - 0*b + 5*b - 27. What are the prime factors of u(m)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by (-36 + 1)\/(10 - 21 - -10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1056 and 864?\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8029 = -249. Let j be (-355260)\/(-182) - (5 + 2). Let y = x + j. Is -1 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 7:06 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 47*k**2 + 168*k - 166. Determine i(-43).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 + 198*x**3 + 4796*x**2 - 5400*x - 10000.\nAnswer: 2*(x - 2)*(x + 1)*(x + 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/((b*b*b*b**(-2\/3)*b*b)\/b)*b*b*b)\/b)\/(b\/b**(-8\/11)))\/(((b*b**(-26))\/b)\/b**(-16)) assuming b is positive.\nAnswer: b**(295\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 146\/3. Let i = 23.7 - 26.68. Let r = i + -0.02. Put c, -5, r in decreasing order.\nAnswer: c, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.602 + -1.102. Which is the closest to 1? (a) 1\/3 (b) 3 (c) i (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*r + 26 = 3, 5*t - 2*r - 27 = 0. Suppose 0*y - 4*q = 2*y - 18, 10 = t*q. Calculate the remainder when y is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -3127395?\nAnswer: 1\/625479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 891.6561 millennia?\nAnswer: 89165.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5423288 + 5423288 + 5*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2057946*c**2 - 280*c - 2493.\nAnswer: -4115892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*t**2 - 219*t + 20792 wrt t?\nAnswer: 44*t - 219","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 16*t**2 + 10*t. Let l(d) = -2*d**2 + 2*d. Let w(k) = 3*l(k) + p(k). Let f(n) = 2*n**2. Determine f(w(j)).\nAnswer: 200*j**4 + 640*j**3 + 512*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 16 - 43)*(0 + 0 + 2*z) - 3*z - z - 2*z.\nAnswer: -94*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + 7 + (47 - 50).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - -1709.3174112.\nAnswer: 1744.3174112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 130, 170, 228, 310?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - z**2 + z**3)*(545 - 545 + 58*z).\nAnswer: 58*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10459845?\nAnswer: 3, 5, 11, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a = 4*a + 64245. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, y: 1, f: 1}. Give prob of sequence myfm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.038038143 times -0.4\nAnswer: 0.0152152572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.795152 to 1 decimal place.\nAnswer: -19.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 76, 3, -2 in decreasing order.\nAnswer: 76, 4, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20031260 (base 7) to base 9\nAnswer: 3101825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 537, 1210, 2143, 3330, 4765?\nAnswer: 6442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 21 = w, -j + w + 30 = 21. Let y(m) = -m - 8. Let f be y(-16). Suppose l - j = -d - l, l - f = -3*d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -17*a. Let c(p) = 2*p + 425. Give q(c(i)).\nAnswer: -34*i - 7225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3*j + 5, z - j + 0 = 10. Solve 0 = z*i - 0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8462069.8 rounded to the nearest 1000?\nAnswer: 8462000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.88 - -3. Let w = k + -0.12. What is the second smallest value in w, -0.09, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23458593*a**5 + 15105064*a**2.\nAnswer: 1407515580*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-3\/8)\/k**13)**8)**19)**27 assuming k is positive.\nAnswer: k**(-54891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x - 6. Let y(b) = -3*b - 3. Let s be y(-4). Let o = 13 - s. Is k(o) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -8 + 2 + (1 - 8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -172 + 171.99999905. What is s rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21754 and 1022?\nAnswer: 152278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 a, and 1 s when four letters picked without replacement from bssbaaakhsbksch.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 83146831661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b (base 14) to base 6\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + -28 + 12 + 17.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1305.28 - 1305.48. Let p be 1\/2*(0 + -10). Which is the closest to 0.1? (a) 22 (b) o (c) p (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from xwrrrrwxxxxrlxxrxxxr.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1110)\/(-55) - 4\/22. Let n = 24 - o. Is (-630)\/(-8) - (-1)\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 219990336 to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.42 + -148.42. Let t = g + 144.9941. What is t rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 344*q**2 + 7977*q - 564. What is g(319)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175 and 343.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u + 2. Let c(j) = -15*j + 5. Let x(b) = -3*c(b) + 10*v(b). Let s be x(6). Let p = 39 + s. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/40 and 103\/160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-4) + (3 - 2) + (-6980)\/(-61424)?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2 - 1564263*r + 4692780 = 0.\nAnswer: 3, 1564260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -609*p**3 + 469536*p**2 + 1890213*p + 9300 = 0. What is p?\nAnswer: -4, -1\/203, 775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -233765556*a**4 - 1081625192?\nAnswer: -935062224*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-8) + (-57)\/(-12). Suppose -5*n - k*y + 27 = 2, -4*y + 12 = 0. Let l be (n*-1 + 20)\/2. Round l to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24 - -20 - 42\/(-9))*-30. Which is greater: 0.23 or r?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -4611660?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/7, 2, -31, 293, 0.1, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -120101210 (base 3) in base 12?\nAnswer: -65b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-812)\/(-5)*(817\/38 + -19) is divided by 61.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdus when four letters picked without replacement from hhusqqhhdhqhh?\nAnswer: 7\/17160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 + 52623*f**2 - 136794*f + 84176.\nAnswer: -(f - 10522)*(f - 1)*(5*f - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13706658 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*t - 15*t + 3 + 53. Let r(g) = g**2 + g + 1. Let u(p) = 33*p**2 - 3*p - 3. What is t*u(m) - 3*r(m)?\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*u**2 - 125*u**2 + 49*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*-8 + 1518356\/37779)*(-6)\/68.\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -8 - 4*r**4 + 57*r**2 - 2*r**3 + 6*r**3 - 45*r**2 - 4*r = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from anppzqqqq. What is prob of picking 1 a, 1 q, and 1 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 1780*m - 396050.\nAnswer: -2*(m + 445)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.061049658 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*y**2 + 5*b**2*y - 17*b**2 + b*y**2 - 8*b*y - 92*b - 1167638*y**2 + 6*y + 3 wrt y.\nAnswer: 4*b**2 + 2*b - 2335276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2 + 3964*m + 116638 = 0. Calculate m.\nAnswer: -29, 2011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -221322273992 take away -92?\nAnswer: -221322273900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1616544 divided by -24?\nAnswer: -67356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60*m**5 - m**2 + 299*m.\nAnswer: -1200*m**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 30*h + 1. Suppose 3*w - z + 8 = 0, 4*w - 4*z - 1 = -5*z. Let x be t(w). Let y = -8 - x. What is the remainder when y is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2467 - 707. Factor -410*l**3 + 802 - n*l - 35*l**4 + 54 - 1560*l**2 - 216.\nAnswer: -5*(l + 4)**3*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 782014050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*s = -136*s - 3*m - 18, 3*m = 5*s + 36 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*d, -30 = -4*j - 3*d - 0*d. Is 1\/3 - (-16)\/j*445 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 1 - 1)*(38 - 105 - 25)*(0*g**2 - g**2 + 0*g**2).\nAnswer: 92*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/20400 and 101\/395600.\nAnswer: 20175600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**4\/42 + 72*k**3\/7 + 31*k**2 + 21*k. Solve t(q) = 0.\nAnswer: -1, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -9. Suppose -17 = -4*o - u. Solve 4*q + n = -7, 4*n = o*q - 2 + 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17438 and 7?\nAnswer: 122066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 76003826 a multiple of 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-1 + 0)\/(-1). Let x = 2 + s. Let i = -44.6 + 44.9. What is the nearest to x in -1\/2, i, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39464335 to the nearest integer?\nAnswer: 6282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -860 >= 14\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*g**5*z + g**4*z + 42*g**2*z - 6*g - 7*z + 42 wrt g?\nAnswer: 380*g**3*z + 12*g**2*z + 84*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 3:42 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -905\/103, 4, 1 in increasing order.\nAnswer: -905\/103, 0.05, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128\/9 + 2203\/153. Let j = w - 43\/51. Suppose 3*z + 0 - 1 = -2*x, 5*z - 3*x - 8 = 0. Which is the second biggest value? (a) j (b) -3\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -adbc2 (base 14) to base 4\nAnswer: -1213010032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 570\/11*o - 42\/11*o**2 + 12274\/11 - 2\/11*o**3 = 0.\nAnswer: -19, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1188943\/55 - 21616. Let y = 5\/11 + g. Suppose 18\/5*p**4 - 6\/5*p**3 - 16\/5*p**2 + y*p + 0 = 0. What is p?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311011*z + 0 + 407201*z + 1.\nAnswer: 718212*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x*x**(4\/7))*x)*x**(-14))\/((x**(-2\/3)*x)\/(x\/x**(-1\/15))) assuming x is positive.\nAnswer: x**(-1228\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 805 (b) 0 (c) -2\/13 (d) 2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/350 and -48\/125.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 171 and -0.06.\nAnswer: -10.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**7\/105 + 179*f**6\/360 + 827*f**5\/180 + 97*f**4\/9 + 34*f**3\/3 - 540*f**2. Suppose s(n) = 0. Calculate n.\nAnswer: -3, -2\/3, -1\/2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -308220 and -0.1.\nAnswer: -308220.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 48. Let q be k(-5). Let d = q + 53. What is the smallest common multiple of d and 87?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1654 by -2.\nAnswer: -827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*w + 4*h - 4, -10 = -w - 2*h. Suppose -3*r = r - l + 2, -l - w = 4*r. Let s be 2\/8 - 3\/44. Do s and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*n + 29*n + 4. Solve -4*d + 11 = -n*a - 7, a + 3*d = 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*m = 31*m. Let q(j) = j + 9. Let g be q(-5). Solve 6\/5*o**g + 2\/5*o**2 + m + 2\/5*o**5 + 0*o + 6\/5*o**3 = 0 for o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -36 + 145\/2*x**2 - 23\/2*x**4 + 15*x**3 + x**5 - 41*x = 0.\nAnswer: -2, -1\/2, 1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/23652876 and 53\/28743?\nAnswer: 260181636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011221 + -11?\nAnswer: -2012002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 h when four letters picked without replacement from okkhktkkhvkokokhokh?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -318 + 435. Calculate the highest common factor of g and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -21 - 5 - (-21 + -17 + 38)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 6*q - 7. What is g(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**5\/4 - 231*g**4\/4 - 117*g**3\/2 = 0.\nAnswer: -1, 0, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqh when three letters picked without replacement from {c: 1, m: 3, h: 1, q: 2, z: 12}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3206456 (base 9) in base 7?\nAnswer: -20411220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1157 + 51*a + 1157 - 45*a**2 + 33*a**2 to f*a + y + v*a**2 and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32705.874741 + -32706. What is z rounded to four decimal places?\nAnswer: -0.1253","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237 - 218 = -5*f - 2*w, -4*w + 1 = -3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 f, and 2 p when four letters picked without replacement from yrpfsyppp.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 4)*(-4*w - 7*w + 70*w + (0*w + 4*w - 2*w)*(-22 + 1 + 4)).\nAnswer: -50*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-2)\/30)\/(13\/(-39)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z**3 - 23*z**3 - 21011 - z**2 + 21012 as y*z**2 + j*z**3 + g + b*z and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 1210373?\nAnswer: 1210400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azz when three letters picked without replacement from {z: 4, a: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -12556996921.38 + 8\nAnswer: -12556996913.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + -3128 + -1 + (2 - 0). Round y to the nearest 100.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 + 0.6. Let j = 0.3 + -0.2. Let v = g + j. What is the third smallest value in 3\/7, -3, v?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96550.22ng to milligrams.\nAnswer: 0.09655022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**4 + u**3 + u**2 - u + 4. Let l(z) = 4*z**4 - z**2 - 3. Let c(r) = 4*l(r) + 3*x(r). Suppose c(w) = 0. What is w?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.0744611 hours to days.\nAnswer: 0.0447692125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -8 + 18 + -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31635 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 21 + 1 + 9 + -8\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v - 22*v + 80 = 6*s, -3*s = 4*v - 52 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812210 is divided by 1562.\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 1. Let i be p(6). Factor g**3 - 8*g**3 + 4*g - g**3 + 4*g**i.\nAnswer: 4*g*(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4760782 and 3026?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 1:13 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 104, 87, 46, -31, -156, -341?\n\"Answer: -2*u**3 - 3*u + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.146 + -51392.8368?\nAnswer: -51392.6908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 219911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -5, -2, 3 in decreasing order.\nAnswer: 3, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(320)*1.\nAnswer: 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -113, -164, -215?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16740?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.04161ml in litres?\nAnswer: 0.09104161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -2, -3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 1:09 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -962*n + 1997. What is the tens digit of z(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 324540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137\/8 + 17. Let f = -38 + 40.7. Let s = 3 - f. Which is the biggest value? (a) u (b) -0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(8\/4)*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 896992229?\nAnswer: 7, 727, 176261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t = 2. Suppose -2*m + 4*c + 4 = 0, -4*m - 6*c - 3 = -3*c. Suppose t*u + m*u = -8. What is the second biggest value in 4\/3, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 4*h**2 + 9*h + 2. Let t be j(-6). Let w = t + -18. Suppose f - w*f - 2*u + 93 = 0, u - 344 = -4*f. Is 28 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 416*92\/(-23552)*8\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(119)\/(-4*sqrt(14)\/sqrt(2)))**2.\nAnswer: 153\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*d + 35 = 2*g, -2*d - 10 = 0. Suppose -4*x + 4*r = 5*r - 420, 4*r + 315 = g*x. Let y = -269 + x. What is y rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 3*k = k + 39, -1601*k = 2*h - 1606*k + 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000111 rounded to 6 decimal places?\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1842 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z**3 + 3*z - 3*z)*(4*z - 2*z - 3*z + (-9*z + 11*z + 10*z)*(-1 + 3 - 3)) to a*z + o + x*z**3 + u*z**2 + m*z**4 and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*a - 33*a + 22600 = 375*a for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -13 + 3. Suppose -2*l = -2*c + 13 + 7, -2*l = -4*c + 38. Suppose 18*u = c*u. Solve u = -r - w - 6, d*r - 2*w + 24 = -4*w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26481 - 367*n + 26481)*(-5 + 3 + 0).\nAnswer: 734*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, -19, -8, -2 in decreasing order.\nAnswer: 82, -2, -8, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5124.\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30525*t**5 + t**2 - 88566*t wrt t.\nAnswer: 610500*t**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*m - 10*m**2 + 24*m + 2*m**6 + 4*m**6 wrt m.\nAnswer: 720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 49*d**2 + 254*d + 1652. Determine a(42).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/257240 and 53\/160775.\nAnswer: 1286200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2650 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21463823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 9 = 2*a - 5, -x + 17 = 3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 1. Let i be p(1). Suppose z = -i*z. Suppose 1160000 = -4*r - z*r. Round r to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 23 - 81 = -20*m. Solve 0 = 4*p + m*g, 2*g - 1 = 2*p - 9 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 13. Suppose -2*v + v - 14 = 5*o, 0 = 5*v + o + 22. Let y be k(v). Solve 5*x + 3 = -y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 12 = 2*l + 2*l, -2*n + 4 = 3*l. Suppose -6*f + l*f = -18. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*r + 2061 - 10689. What is the units digit of -1*r\/3 + (-1)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64.3 - 62.3. Which is the nearest to 0? (a) 5 (b) 5\/4 (c) o (d) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*p**3 + 849360*p**2 - 566225*p + 94370 = 0 for p.\nAnswer: 1\/3, 18874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -30622268 divided by -3\nAnswer: 30622268\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138151 is divided by 69074.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26790252?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14059 is divided by 1914?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 23. Calculate the remainder when g is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -940, 34396, 4.\nAnswer: -940, 4, 34396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45345243*d**4 - 74858804*d.\nAnswer: 544142916*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1100300031 + 10?\nAnswer: 1100300101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 39*(2 + (-3 - (1 + 1))). Round s to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2048 and 82.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 5*f - 5 = 2*o, 5*o + 3*f = 9. Calculate the highest common factor of o and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(19)*2 + -2)**2 + (sqrt(76)*1*2)**2.\nAnswer: -16*sqrt(19) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2163668 divided by -26.\nAnswer: 83218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/174 and 26 - 49*(-17409)\/(-33075)?\nAnswer: 13050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmmmmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 15*f - 375 + f**2 + 0*f**2 - 405 - 5*f + 751. Suppose -3*j - 13 = -2*j. Does 10 divide r(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 + 72. Suppose -5*d + g = -2*d. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v. Suppose 5*h + x = 0, -2*x = -2*h - 7*x. Let i(a) be the third derivative of h*a**3 + 0 + 1\/24*a**4 + 0*a - 5*a**2. Calculate i(p(f)).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5759 = 36*r - 23*r. Let o = r - 113. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -3) + 1 + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.08, 0, -0.3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 5 + -6 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1406 + 2133. Suppose -353 - z = -5*w. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*i - 71*i - 72*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 3*v + 20 = 0. Let r(d) = -d - 1. Let x(c) = 4*c + 6. Let t(j) = -5*r(j) - x(j). Let b(w) = 5473*w + 5454*w - 10929*w + 3. Give v*t(z) - 3*b(z).\nAnswer: z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 8*a**2 - 7*a + 3. Let l be m(7). Calculate the greatest common divisor of 33 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from rcssrdcrdcsrcdrsdr.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 8*v**2 + v - 15. Is b(-10) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2469.251 rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 17. Let t = 23 - n. What is the smallest common multiple of t and 16?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15)\/(-9) - (-8)\/(-6))*95595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t - 828*t**2 + 11 + 3*t - 11 as u*t**2 + n*t + d and give u.\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17813 - 17817 - 63*o + 53*o.\nAnswer: -10*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a day in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -135 + 214. Does 29 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.187 and -1.62896.\nAnswer: -1.44196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.2 + 11.3. Let x = -5.8 + d. Let k = -6.5 + 6. Which is the nearest to 1\/2? (a) 1\/3 (b) k (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.9 + 1.1. Let t = y + -6. Let q = -1.5 + 1.6. Which is the third biggest value? (a) q (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449 + 225 + 224 + 584*a.\nAnswer: 584*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59.09 + 59. Let g = 0.042 + u. Let j = g + -0.952. Does j = 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/16? (a) 440 (b) 109\/5 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1152 and 432?\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -650.2 + 80.2. Let d = 229 + q. Let y = d - -341.0000314. What is y rounded to six decimal places?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -8*y - 3*y - 29, -17489*m - 5 + 3 = -17491*m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (5 + -12 + 7 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*v + 48*v = -3*n + 13155, -n + 2*v + 4389 = 0. List the prime factors of n.\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*s = -3*s - 9, u - 2*s - 6 = 0. Suppose -6 = 5*f + 9. Do f and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 7:44 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100189.\nAnswer: 100189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**5 + 838*f**4 - 49*f**3 + 1191038*f wrt f?\nAnswer: 40*f**3 + 10056*f**2 - 294*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 894\/2453 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 1712954.\nAnswer: 1712954.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 37*t**2 - 7. Let a be f(3). Suppose -31*k + 14744 = 4638. Is k equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.253 plus 9?\nAnswer: 34.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 600827 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74635\/282 - 23\/141. Let o(b) = -b**3 + 11*b**2 + 14*b - 23. Let n be o(9). Is p at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 6*q - 2. Calculate k(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 2:09 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 5*n**3 + 253*n + 2*n**2 - n**2 - 250*n + 2*n**3 to l*n**3 + v + s*n + j*n**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/2 - 91\/(-26). Let m(x) = -5*x**2 + 8*x - 2*x**2 - x**3 - 11 - 2*x. Let r be m(-8). What is the biggest value in r, 4, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95009.\nAnswer: 95009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 41697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4 + 124*s**3 + 11026*s**2 + 206004*s + 1140048 = 0.\nAnswer: -29, -14, -12, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6360 and 360?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13325 divided by -41.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -133\/107?\nAnswer: -133\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3768\/653, -1\/4, 0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1637029 is divided by 127.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p - 8*p - 344 + 793 - 357.\nAnswer: -17*p + 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -6 (c) -43 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -160\/7? (a) 2\/293 (b) -1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -86, -1, -16, -27 in descending order.\nAnswer: -1, -2, -16, -27, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6853 is divided by 1356.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -2 - (-4)\/(-540). Let g = 412\/945 + r. Let q = 10476 - 10468. What is the nearest to q in g, -0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000143614 rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 101111111000001101010000000?\nAnswer: 101111111000001101010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 3 + -29 + 919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 8:11 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.18? (a) 5 (b) -0.02 (c) -0.06498 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 53, -0.05, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44491360.\nAnswer: 2, 5, 278071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 8 = -2*m - 0*m, -2*m - 10 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.87557041 rounded to three decimal places?\nAnswer: -1.876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105694*f**2 + 233024*f - 233024*f.\nAnswer: 105694*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62533 = 338*y - 8681195. Is y a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1680)\/(-490))\/(-1*2\/42). Let v = b + 81. Solve 4*x = 3 + v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 4. Let t(s) = -1656*s + 214. Let h(d) = 6*m(d) + t(d). Differentiate h(v) wrt v.\nAnswer: -1650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.02 - 10.0200001673. What is m rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03332033+0.5\nAnswer: 0.53332033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1962450 and 84105.\nAnswer: 5887350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -121 + -3?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-27) - ((-23694)\/(-27))\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 14*c + 35. Let n be g(3). Let l(s) = s**2 + 3*s + 2. Let x be l(-2). Solve x*j - 7 = -5*d - 3*j, -4*d - n*j + 4 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117810 and 25074.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 w, and 1 j when three letters picked without replacement from {j: 3, y: 1, w: 1, d: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.24 - -0.197. Let d = w + 18.443. Round d to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atul when four letters picked without replacement from {l: 3, e: 6, t: 1, a: 6, u: 2}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52208721 - -52208722.19999964. Let s = b - 1.2. Round s to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 604*4\/16 - (3 - 1). Let n = 67 + -39. Suppose -2*w = 2*x - 34 - n, -5*x = -w - z. What is the highest common divisor of 12 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence put when three letters picked without replacement from {v: 6, p: 1, l: 3, u: 4, t: 1}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/11 (b) -5 (c) 4\/63 (d) 19 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - 2*i + 2*i**2 + (1 - 2*i - 1)*(-2*i - 3*i + 7*i) - 7*i + 7*i + i**2 - 3 - 2*i**2 + 3 + 3*i**2 + 0*i**2 - i**2 + (-i - 2 + 2)*(3 + i - 3).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9622 is divided by 1601?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d = 5*x - 364, -3*d + x + 334 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14077, 13654, 13197, 12688, 12109, 11442, 10669?\n\"Answer: -3*v**3 + v**2 - 405*v + 14484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*v + 234*v = 288 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/((3\/1)\/(-6)). Let d be (24\/(-30))\/(4\/u). Let s = d - 1. Is -4 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402162?\nAnswer: 2, 3, 97, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 51*z - 52*z. Suppose 0 = 29*r - z*r + 374. Is 22 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.33257g to nanograms.\nAnswer: 77332570000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 m, and 1 y when three letters picked without replacement from {y: 2, m: 1, r: 1, s: 2, t: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) + (sqrt(102)*2 + sqrt(102) + sqrt(102))*-6)*5)\/((2*sqrt(3600))\/sqrt(6)))**2.\nAnswer: 8993\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -172514236.\nAnswer: -172514236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 0.4, 0.024, 23, 1.5, -1?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 + 4512*a**2 + 1419264*a + 80289792.\nAnswer: 4*(a + 72)*(a + 528)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 986*q + 243049.\nAnswer: (q - 493)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1010 (base 3) to base 5\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-962)\/(-4))\/(-3 + (-49)\/(-14)). What is the greatest common divisor of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*y = 4, 8*a - 85 = y - 8. Solve -a*q - 9*q = 16*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/109894 and 55\/16.\nAnswer: 879152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -151043\/68 or -2222?\nAnswer: -151043\/68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4\/3)\/l**2)\/(l**(-1)*l)**(8\/5) assuming l is positive.\nAnswer: l**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*a - 4. Let c = 0.07 + -0.07. Let d = 1485 + -1481. What is the nearest to d in c, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287844 is divided by 47613.\nAnswer: 2166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/4)\/(-3)*0. Let s(f) = -f**2 + g + 12*f + 1 - 4*f. Suppose z + 4*z - 19 = 21. Determine s(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g**2 + 25*g**2 - 14*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -17034 less than -17034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1203105 times -15?\nAnswer: 18046575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 114 and -0.4.\nAnswer: -45.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10752 * -91.\nAnswer: 978432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 204*q**2 - 138*q - 271. Give p(-2).\nAnswer: 821","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67*h - 30*h + 25*h)*(3*h + h - 5*h) + (-3 - h + 3)*(-2*h + 5*h - 5*h) + 0*h**2 + 2*h**2 + 0*h**2 + (2*h**2 + 2 - 2)*(-3 + 5 - 1).\nAnswer: -56*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -35225.22 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 5*s + 7, -3*s + 5 = -2*f - 25 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**3 + 4*b**2 + b + 3. Let g(j) = 3*j**3 + 3*j**2 + 2. Give 3*g(i) - 2*z(i).\nAnswer: i**3 + i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 82003 divided by 1?\nAnswer: 82003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t. Let k(u) be the third derivative of 29*u**4\/24 + 791*u**2. Give -6*a(m) - k(m).\nAnswer: -23*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37624188 and 672.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20642996*v**3 + 21*v**2 + 276037.\nAnswer: -123857976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/9 - 323*u\/3 - 21758\/9.\nAnswer: -(u + 23)*(u + 946)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 - -2627.504.\nAnswer: 2611.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/7))**(-13)*(q\/(q\/(q*q**12)))**(-1\/9) assuming q is positive.\nAnswer: q**(-208\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 3*i + 4*i)*(5*i - 8 + 0*i - 4*i).\nAnswer: 6*i**2 - 48*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 55, 163, 359, 685, 1183, 1895, 2863, 4129?\n\"Answer: 7*k**3 + 2*k**2 + 53*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = u - 7, -3*u + 2*a + 10 = -2*a. Suppose k + u = -l, 3*l + 4*k + 5 - 1 = 0. Let n(c) = -2*c - 1. Is 2 a factor of n(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2425*n + 657177. Calculate y(-271).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4031832 by -2796.\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 912 is divided by 84?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -220683 and 10.\nAnswer: -2206830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001118762522 rounded to seven dps?\nAnswer: 0.0011188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12711169 divided by 1\nAnswer: 12711169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 4*o**2 - 3*o - 2. Calculate k(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 g when two letters picked without replacement from cggguuccgzgcguc.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**1)**(5\/7)\/(y**(-2\/17)*y**(-3\/10)))\/((y**(1\/2))**(10\/3)\/(y**(-2)*y**(-2\/5))) assuming y is positive.\nAnswer: y**(-7927\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 112890, 451588, 1016094, 1806414, 2822554, 4064520, 5532318, 7225954?\n\"Answer: m**3 + 112898*m**2 - 3*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1013, -1982, -2951, -3920, -4889, -5858?\nAnswer: -6827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 + m**3 + 2*m**3 + (0*m - m + 2*m)*(1 - 1 - 2*m**2) + m**3 - 3*m**3 + m**3 + 3*m**3 - 2*m**3 - 2*m**3 + 23*m - 27*m + 8*m**3 + 5*m.\nAnswer: 6*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-three quarters of a milligram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14905?\nAnswer: 5, 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2 - 10 = 0. Is (-280 - -13)*(-1)\/k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 2:25 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 1994 + 9182 = 2*d, -3*u - 4*d + 10783 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 5*p**3\/3 - 14*p**2 + 123*p - 191. What is the tens digit of r(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -5 (c) -0.5 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 2*s - 1. Let n be g(2). Suppose 2*i + 2*b + 2*b + 2 = 0, -i - 3 = 4*b. Let q be 18\/(-27) - i\/1. Is n != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18\/59 + -644\/177. Calculate the common denominator of (-20)\/210*(79 - 1) and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 13*a**2 + 12*a - 5. Let s = -413 - -401. Calculate h(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-5))\/(46*(-234)\/(-22425))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -157*-0.059\nAnswer: 9.263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 873167639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - -2) + (2 - -13)\/5. Put q, -4, 1 in ascending order.\nAnswer: -4, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/7 - 1406*t**2\/7 + 86222*t\/7 + 87630\/7.\nAnswer: 2*(t - 635)*(t - 69)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1704 = -3*h + q + 6439, -5*q - 3135 = -2*h. Round h to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2674 = 27*q + 65*q + 99*q for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**2 - 6809128*q - 5795528015048 = 0.\nAnswer: -1702282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 295282550 to the power of 1\/2, to the nearest integer?\nAnswer: 17184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0*v + 4*v)*(-3*v**3 + 0*v + 0*v)*(-3 - 4*v + 3).\nAnswer: 24*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22252 + -22138.27. Let k = l - 115. Let q = -0.45 - k. Round q to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/(-2 + 65\/35))\/((-30)\/12). Let d(h) = -h**2 + 14*h - 19. Give d(a).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 209 + -132. Let x = -140 + o. Let y = -43 - x. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 less than 9260179.947754?\nAnswer: 9260171.947754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -206.0335 + 0.0335. Let t = 203 + h. Put -0.4, t, -4\/13 in descending order.\nAnswer: -4\/13, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*a**2 + 3*a**2 + 9*a + 19*a**2 + 1912 - 7*a**2 - 1886 to the form t*a + d*a**2 + f and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*i + 25901 = 0, 15277 = 3*q - 3*i - 266. Is q + ((-5)\/(-20))\/((-3)\/(-60)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 5*d - 6. Let k be g(-4). Let c(x) = x**3 - 5*x**2 - 4*x - 8. Calculate the remainder when 2*-1 - (-5)\/k*-14 is divided by c(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003251 to 6 dps.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*s = -16. Let n(x) = -2*x**2 + 2*x + 3. Let c be n(s). Let h = -9 - c. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6320 and 10356505?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 4 - 6)*(-3 + 3 - 8*x)*(-4 - 1 + 7).\nAnswer: 160*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 6.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 17*h - 624 = -24*h. Calculate the remainder when 73 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.8 - -27.7. Let h = -41.1 - j. Let o = -50.4 - h. Round o to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2422 = 4*a - 674. Let o = a + -257. List the prime factors of o.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536 is divided by 108?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/8154 and -38\/39.\nAnswer: 106002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (1 - (15 - ((-8 - 0) + 13))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 9*l**2 + 35*l**4 + 0 + 9\/4*l**5 + 1\/24*l**6 - l - 490\/3*l**3. Factor a(z).\nAnswer: 5*(z - 1)*(z + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252 and 728.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 8*g**2 + 29*g - 72. Let z be u(5). What is the biggest value in 4, 1\/4, -5, -2\/59, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-20)\/(z**(1\/2)\/z))\/(z**18)**49)**(-7) assuming z is positive.\nAnswer: z**(12621\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 719*a = -718*a - 29, -14 = r - a for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -488*k + 1676*k + 702*k + 61*k.\nAnswer: 1951*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4704138 and 153730?\nAnswer: 23520690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4318*g - 21549. Determine a(-5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 3. Let y(f) = f - 2. Let z be y(8). Calculate w(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/1)\/(1 - (2\/((-126)\/(-665)))\/5).\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6a7 (base 11) to base 8\nAnswer: 1513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58432 is divided by 127.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 278231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-6*(-13)\/468.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15720514 to the power of 1\/2, to the nearest integer?\nAnswer: 3965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20223, -40204, -59945, -79446, -98707?\n\"Answer: 120*x**2 - 20341*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -42 + 3 - 22.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/8 of a hour?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -0.9. Let o(t) = t**3 - 3*t**2 + 12*t - 34. Let l be o(3). What is the nearest to i in l, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l - 2. Let r be 14\/4 - (-6)\/(-12). Let b(v) = v. Let i be 2\/4 - 1\/(-2). Let n = 0 + i. Give n*u(q) + r*b(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1242*z + 1236*z + 126 = 0. Suppose 1319 = z*x + 122. Calculate the remainder when x is divided by ((-24)\/(-20))\/(3\/40).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13859 + 49636. List the prime factors of k.\nAnswer: 7, 19, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -82408*s**3 - 6*s**2 + 4053150?\nAnswer: -247224*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*v + 2*f - 237, 5*v = 2*f - 395. Let w = v - -84. List the prime factors of -3 + w - (4 + -97).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 1:36 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g + 12. Suppose 2*j - q - g = -0, j = -3*q - 4. Solve -4*r - 3*o - j = 0, 2*r = -3*r + 3*o - 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3))**(-19)\/(j**(-1)\/(j**(-3)*j*j)) assuming j is positive.\nAnswer: j**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 16255*u**3 + 9*u**2\/2 - 22*u - 22. Let m be t(18). Round m to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1.75. Let w = -0.05 - y. Sort w, 4\/7, -5 in descending order.\nAnswer: 4\/7, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3 - 23. Solve -4 + h = -3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1155 - 1155 - 188*m + 9*m.\nAnswer: -179*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3075964282?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30455062?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1056 (base 8) in base 16?\nAnswer: -22e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.04, 0.3, -6.94?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7418 - 14835\/2. Sort 9\/8, v, 5, -5\/4, -4 in ascending order.\nAnswer: -4, -5\/4, v, 9\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83 + 105 - 131)*(2*m - m - 3*m).\nAnswer: -114*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from {n: 2, g: 2, x: 9, p: 6}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 140605 + 140606 - 281206 + 27*g**2 to b + c*g + k*g**2 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 373267804?\nAnswer: 373267804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 978 a factor of 27401604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h = -h + 187. Suppose -g + h = -11. Calculate the highest common divisor of g and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/3)\/((-34)\/(-102)) + 5. Solve -10 = k - o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-325*g + 57 - 57)*(-3*g + 2*g + 3*g)*((-2 - 1 + 2)*(2 - 1 - 2) + 3 - 5 + 4 - 3 - 2 + 3 - 3 - 1 + 2 + 2 + 2 - 1).\nAnswer: -1300*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*21\/63\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -10*x**4\/11 + 102*x**3\/11 - 310*x**2\/11 + 258*x\/11 - 40\/11 = 0?\nAnswer: 1\/5, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 1)*(-4 + 3 - 1) + 0 + 0 - 2 - 4 + 10 + 8)*(-5*o + o + 3*o).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15762c (base 13) in base 9?\nAnswer: 887666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72474.\nAnswer: 2, 3, 47, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5581879 by 3.\nAnswer: 5581879\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/18)\/((-4)\/(-12)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/2 + 39*d**2\/2 - 507*d\/2 + 2197\/2.\nAnswer: -(d - 13)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 430434 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2176 is divided by 176.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2367612932?\nAnswer: 2, 591903233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5618040*b**3 + 4*b - 44988743?\nAnswer: 16854120*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 at most as big as -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-7))\/((-5)\/70). Suppose 0 = -d*y - 14*y + 15408. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 386027, 1544060, 3474101, 6176150, 9650207, 13896272?\nAnswer: 18914345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 21. Suppose -36 = 4*w - 8. Let x(k) = 3*k + 9. Let y(v) = -5 - 3*v + 5*v - v - 3*v. What is s*x(c) + w*y(c)?\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-18))\/((-7)\/(-14))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/7)*k**7 assuming k is positive.\nAnswer: k**(52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136 and 384?\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 6*m - 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (22 - 8) - -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06755 to 3 dps.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + -6 + 1 + 2 + 7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68*a**4*s + 2*a**3*s**2 + 6*a**3*s - 5*a**3 + 7488*a**2 + 5*a*s**2 wrt a?\nAnswer: 1632*a*s + 12*s**2 + 36*s - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/3 and -27\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 348445596 to the power of 1\/2, to the nearest integer?\nAnswer: 18667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 2:39 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = y - 3*f, 250*y + 29 = 253*y + 5*f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12286 is divided by 2162.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -501 + 500.7. What is the nearest to 1\/8 in 0.1, -0.4, a, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13745, 13746, 13747, 13748, 13749?\nAnswer: 13750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 37 + 0*z**3 + z**3 + 16*z**2 - 18 + z. Let q be t(-16). Solve -2*k + q = -3*l - 0*l, -5*l + 14 = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708*f - 28654 - 3910 = 341 + 10991 for f.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 26. Let p(l) = 3*l + 39. Let t(n) = 2*p(n) + 3*z(n). Let r(g) = 2*g - 14. Give t(r(f)).\nAnswer: 6*f - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - z = -176, -33 - 32 = -2*g + 5*z. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27 * -15404.\nAnswer: -415908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*((-4)\/2)\/4. Suppose -p = 5*a - 11. Let l(s) = -s + 14. What is the lowest common multiple of a and l(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-138)\/(-207) + 485\/(-12))\/((-1)\/4). Solve -c*z + 171*z - 60 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36458 + -36457.896. Which is the third biggest value? (a) 0.03 (b) u (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325326 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcvv when four letters picked without replacement from {c: 2, v: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*h + 109*h = 201*h + 48608. What is the remainder when h is divided by 45?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**2 + 365*a + 4285. Give q(-76).\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3402911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r. Let w(u) = -28509*u**2. What is w(y(h))?\nAnswer: -28509*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 6*v = -4. Suppose 0 = -2*q + q + 2*w - 9, w = -v*q - 18. Let g = q - -6. Put 2\/13, 0.3, g in descending order.\nAnswer: g, 0.3, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 11 = 2. Let c be (-2154)\/189 + (-4)\/(-14). Let i = -112\/9 - c. Sort 0.3, z, i in descending order.\nAnswer: 0.3, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23669772 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51348.31 millennia to years.\nAnswer: 51348310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2415 divided by 161?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*n**2 - 260*n**2 + 6 - 6.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 17. Solve 10 = 6*v - n*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 3:01 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from {w: 1, v: 8, l: 8, e: 2, k: 1}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 3077304*q - 789149992368.\nAnswer: -3*(q - 512884)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3211, -1, 0.4, -4, -2, -1.3 in increasing order.\nAnswer: -4, -2, -1.3, -1, 0.4, 3211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**5\/30 - 17*y**2. Let o(m) = m**2. Give o(k(c)).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = t + 4*x, 4*x = -2*t + 12 - 10. Suppose 3*u = -2*u - 3*j + 40, 5*j = 3*u + 10. What is the remainder when t is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486551 != 486551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 199141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4 = 4*j + 2, 0 = -2*x + 4*j + 4. Let c be 8\/(-10)*(4\/8 - x). Let b(y) = -28*y + 5. List the prime factors of b(c).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, f: 4, c: 1, k: 1, v: 3}. Give prob of sequence vff.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 188 + -236 + (1 - -12) + (-1 - -4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q = -3*o - 11, o + 5 = 2*q. Suppose 3*v - v = -x + 421, 0 = 5*x + o*v - 2091. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 572199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -16*r + 21*r - x, -14 = 2*x. Solve j = r*j + 14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341*p + 24029 = -8*p + 719 for p.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 352\/((-330)\/(-30))*-2.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 300077?\nAnswer: 300073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(1 - 10\/8). Suppose -p + 5*f - 22 = 2*p, 0 = s*f - 20. What is the nearest to p in -1\/7, -1\/10, -2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrw when three letters picked without replacement from wyrwm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 92*p**5 - 108*p**2.\nAnswer: 5520*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 8:30 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 357 = 9*f. What is the greatest common factor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1)*-5*30\/50.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*o + 49*o - 76*o)*(o + o + 0*o) + 2*o**2 + o - o + (-o + o + 2*o)*(-o - 2*o + 5*o) + o + o**2 - o.\nAnswer: 83*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 928 = 4*b, -256*b = 2*r - 260*b - 968. Calculate the remainder when r is divided by 121.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 44.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5920850 and 5290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 89028079 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -13609739*b. Let h(s) = -3*s. Determine h(x(w)).\nAnswer: 40829217*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 332 + -115.8. Let s = p - -33.8. Let k = s - 249.99667. Round k to four dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24597.94 millennia to years.\nAnswer: 24597940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9817165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12, -27, -66, -141, -264, -447, -702, -1041?\n\"Answer: -2*j**3 - j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -205 + 220. Suppose 3*b + u = 98 + g, b = 2*u + 33. Let q(z) = -8*z. What is the remainder when b is divided by q(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1750590, 7002340, 15755256, 28009338, 43764586, 63021000, 85778580?\n\"Answer: 1750583*v**2 + v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-15)*40\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 12 = -44. Calculate the remainder when 83 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 3 + 0*c**2 + 0*c - 11\/3*c**3. Let w(a) = -2*a. Determine x(w(h)).\nAnswer: -44*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -27*u - 107 + 47*u - 31*u. What is the tens digit of p(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1556, 4242, 8732, 15032, 23148, 33086, 44852, 58452?\n\"Answer: w**3 + 896*w**2 - 9*w + 668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 0 + -4 + 2 + (-52)\/(-4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5*1*sqrt(567) + (sqrt(567) + 1 - sqrt(567)) + -4 + 2*((sqrt(567) + 2 - sqrt(567))*1 + sqrt(567)))**2 + -4.\nAnswer: -54*sqrt(7) + 5102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 - f**2 - 3*f**2 + 8*f**2 - f**2 - 3*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -704 + 9704?\nAnswer: 9000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 274 + 78. Let w = -22 - s. List the prime factors of 6\/w - 140\/(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 36384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 34*p. Let h(s) = -6*s**2. Calculate o(h(m)).\nAnswer: -204*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1153 - 1035. What is the remainder when m is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97809 is divided by 428?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, b: 1, j: 2, z: 1, a: 4}. What is prob of sequence ia?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -1632\/5 - 228\/5*x - 3\/5*x**2 = 0.\nAnswer: -68, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(396) + 2 - (2 + sqrt(396) + sqrt(396))*3)**2 + (sqrt(396) + 0 - -5*(-3 + sqrt(11))).\nAnswer: 191*sqrt(11) + 9894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.2 * 10989.\nAnswer: 101098.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3992 = -7*y + 2560. Let q = 2208 - y. Find the common denominator of ((-1)\/24)\/(16\/q) and -5\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 2. Suppose 2*j - 5*a = -c, a + 16 = 5*a. Solve 0 = -3*q + 3*l - j, 3*l = q - 0*l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 303113132 - 32212?\nAnswer: 303020320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + u + 5. Let g be l(2). Let w be (g\/6)\/(3\/12). Which is the third biggest value? (a) w (b) -0.5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118059924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -9 + -11 + 19\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1377 (b) 9\/4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1635 + -11427\/7. Find p such that -3\/7*p + 0 - f*p**3 + 12\/7*p**4 + 12\/7*p**2 - 3\/7*p**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -199\/4316970 and -45\/3782488.\nAnswer: 397161240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -20*c**4 + 845*c**3 - 995*c**2 - 1230*c = 0.\nAnswer: -3\/4, 0, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2286*i = -2179*i - 1498 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4978634 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvv when three letters picked without replacement from {m: 2, v: 9}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s**4 - 4*s**4 + 4*s**4)*(-2 + 1 - 1) + 5*s**4 - 8*s**3 - 6*s**3 - 6*s**4 in the form k*s**3 + m*s**2 + j*s**4 + f*s + w and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -248854*o**2*t - o**2 + o*t - 9*o - 9832 wrt t.\nAnswer: -248854*o**2 + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vee when three letters picked without replacement from czvqeve.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5360 divided by -6?\nAnswer: 2680\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 + 16*b + 10. Let j = -38 - -46. Suppose 0 = -4*r - 3*u + 73, 0*u = 3*r - 2*u - 76. Calculate the lowest common multiple of r and l(j).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 5*o - 52, 11*q - 6*q - 370 = -3*o. Calculate the remainder when q is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1.4. Let w be 88\/(-40) - (-32)\/(-40). Let c = -2 + 2.01. Put x, c, w in descending order.\nAnswer: c, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56194 + -56194.6. Suppose 0 = -3*p + 2*p - 2*s, -5*s = -5*p - 30. Sort p, 2\/5, t, 2 in descending order.\nAnswer: 2, 2\/5, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3748792614 to the power of 1\/3, to the nearest integer?\nAnswer: 1553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 19\/20*h**5 + 0*h**2 + 15*h - 3\/2*h**4 + 0 + 0*h**3. What is the third derivative of d(l) wrt l?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -12, -2 in increasing order.\nAnswer: -12, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 13 + -3 - (0 - -7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + v + 8, 3*m + 5*v = -0*m + 29. Suppose -2*x + 8 = p + 21, m*x = -p - 21. What is the units digit of (-6)\/4*x\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.98940224 to 4 decimal places.\nAnswer: 0.9894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 5:12 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + q - 251 = 0, 507 = 4*l + q - 503. Let p = -121 + l. Suppose 14*n = 11*n + p. Is 25 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -19*v**4\/3 - 85*v**3\/6 + 117*v. Find the second derivative of p(f) wrt f.\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.88 - 0.02. Is d < 0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36044 + 7221*l + 41090 + 77*l**3 + 3*l**4 - 242*l**3 + 2007*l**2.\nAnswer: 3*(l - 29)**2*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 2*u**2 + u - 2. Let m be n(-3). Let d(l) = l**2 - 4*l + 3. Let k be d(5). Solve 2*t - m*t = k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -0.7. Let c = -7\/6 - -1\/3. Let h = c + 7\/6. What is the closest to -0.1 in q, -5, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -7. Suppose -5*w + 4*w = 5. What is the fourth biggest value in v, 0.3, w, -0.01?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-6))\/(4\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3415448 to the nearest ten thousand.\nAnswer: -3420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1331)*-2)**2 + sqrt(1331) + 0 - (1 + sqrt(1331)*2*2 + sqrt(1331))) + -5.\nAnswer: -44*sqrt(11) + 5321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2 = 5. Suppose 0 = -4*k - f + 79 + 45, -4*f = -3*k + 74. What is the remainder when k is divided by t\/(30\/16 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -3*x**4\/20 - 119*x**3\/5 - 10797*x**2\/10 - 10443*x\/5 - 493. Factor t(f).\nAnswer: -3*(f + 1)*(f + 59)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*w - 2*p, -2*w + 3*p = 5*p + 2. Suppose -2 = -d + 2, d = -w*u + 22. Suppose t + 6 = u. Let v(f) = -f**2 - f + 4. Give v(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 - 210*m**2 + 2755*m - 10710.\nAnswer: 5*(m - 18)*(m - 17)*(m - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 0, -3*q + 4*c - 6 - 3 = 0. Let h be -1*(-7 + 4 - q). Is h at most as big as -1\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/3 + 2*i**2 + 21*i + 36.\nAnswer: -(i - 12)*(i + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 2, m: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 4*w - l + 24, -3*l - 10 = -5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93573 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + w - 7 = 4*q, 42 = 4*q - 3*w. Find the second derivative of -4*f - 6*f**5 + q*f - 3*f - 3*f wrt f.\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 163*w**4 - 4 - 170*w**4 - 2*w + w to p*w + u*w**4 + q*w**3 + g*w**2 + d and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 4*r**2 + 6*r + 4. Let n(k) = 2*k - 3. Let h be n(4). Let x be c(h). Solve -x = -4*y - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 531, 1059, 1589, 2121, 2655, 3191, 3729?\n\"Answer: o**2 + 525*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8238778295.\nAnswer: 5, 11, 8231, 18199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by 19518260.\nAnswer: -12\/4879565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 130178 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i - 11*i = -2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.09 or -347294?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/505 and -119\/6060.\nAnswer: 6060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p + p - p**2 - p - 15*p**2 in the form t*p + b*p**2 + q and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -123*j**2. Let l(t) = t**2. Give l(z(b)).\nAnswer: 15129*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 125*q**2 + 5793*q - 11578. What is a(2)?\nAnswer: 508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**3\/3 + 196*j**2\/3 - 1984*j + 19200 = 0.\nAnswer: 24, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -2\/117 (c) -0.5 (d) 0.01888 (e) -1\/6 (f) 6\/145\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1324 = -243*v + 98 - 718 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-16))\/(2\/(-8)). Factor -5*v**2 + 6*v**2 - v**4 + v + 0*v**o - v**3 + 0*v.\nAnswer: -v*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 17*j**2 - j - 18. Let p be z(-17). Let x = 0.07 - 0.17. Which is the closest to x? (a) p (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 4 + 0*x + 466*x**2 + 0*x - 913*x**2 + 446*x**2.\nAnswer: -x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62616.\nAnswer: 2, 3, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h - 4*h + 3*h**2 - 6*h**3 + 2*h + 4. Let z(k) = -k**3 + k**2 - k + 1. Suppose 13 = 4*f + 3*q, -3*f + 6 = 2*q - 4. Determine f*z(m) - y(m).\nAnswer: 2*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 8*x + 7. Is 42 a factor of t(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/(-6) - 0)*2*-1. Suppose 7*y = 8*y - x. Let k(w) = 5 - 4*w**2 - 1 - w + 5. Let h(g) = -2*g**2 + 4. Determine y*h(m) - 2*k(m).\nAnswer: -2*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 4, -3*k - 6 = -6*a + 2*a. Let j = 50 - 46. Suppose -3*m + j + 8 = a. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmffmffzffmmfmzff. What is prob of sequence ffz?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-32))\/(426\/2840).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-10 - 2)) + -81 + 78?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 2, -10\/17, -3952 in descending order.\nAnswer: 2, -10\/17, -18, -3952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50.6 + 52. Let i = -4976 + 4976.2. Sort 2, i, m in descending order.\nAnswer: 2, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*h**2 + 6268235*h - 6268235*h.\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2032 - 16756 + 1334 = 525*u + 3935 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -890 != 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000714270751 to six decimal places.\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(-2 + 2 + 2*t) + 5*t - 2*t - 2*t + (0 - 1 + 3)*(2 - 2 + 2*t).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -443201 and 1900097094.\nAnswer: 1899653893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 - 4*p**2 + 1. Let o be t(3). Suppose 0 = -7*j + o + 30. Let k be (-1 + 3)*6\/4. Solve -h = 3*z - 12, 5*h + 5 + j = k*z for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29670 - 11189. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -11*h + 23. Let u be a(-11). Suppose 4*c + 16 = u. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42164699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**5 + 174*l**4 + 2769*l**3.\nAnswer: -3*l**3*(l - 71)*(l + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j + 3. Let c = 298 + -165. Suppose 1029*b = 1010*b + c. Let r(f) = -3 - f + 2 + 2. Give b*r(i) - 2*m(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 305 - 454. Let k = 149.7 + t. Let f be 26\/7 - (-4)\/14. Sort 2\/15, f, k in ascending order.\nAnswer: 2\/15, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-24))\/(240\/(-74880))*1\/(-1)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c - 19*c + 8 = 0. Let p(a) = 177*a - 3. Let w be p(0). Let s be 1*(-4)\/(-2)*-1. Sort s, 0, c, w in decreasing order.\nAnswer: 0, s, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppsp when four letters picked without replacement from srspsspspp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 n when four letters picked without replacement from {o: 4, n: 5, w: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 145 and 21680545.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1102, 1101, 1100, 1099, 1098?\n\"Answer: -u + 1103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1072, -4668, -10658, -19042, -29820?\nAnswer: -42992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 49\/(-147) + ((-744)\/9)\/4 + 6\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 132\/27*38\/((-5472)\/108)*-21\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -452 - 463 + 915 - 6*q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/88 and 68\/165.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3*((-16 - -15) + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19099497251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22823 (base 11) in base 4?\nAnswer: 20002221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + 0 + -2 + -5)**2.\nAnswer: -112*sqrt(19) + 1265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -515680.39805 + 515527.4. Let t = m + 153. Round t to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 3*q**2 + 5*q - 7. Let c be 1\/(-3 + (-6)\/(-4))*-3. Let f be x(c). Let d(b) = b + 1. Calculate d(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 + l**2 + l + 2. Let g(w) = -6*w**3 + 3*w**2 + 4*w + 7. Suppose 0 = -5*h + 4*h + 1. Suppose -2*d = -p + 6, h = -d - 3. Give p*g(j) + 7*i(j).\nAnswer: -2*j**3 + j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4\/3 + 46*i**3\/3 - 41*i**2\/3 - 184*i\/3 + 60 = 0. Calculate i.\nAnswer: -2, 1, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 36*w - 29. Let s(l) = -36*l + 29. Let r(v) = -3*i(v) - 2*s(v). What is the first derivative of r(m) wrt m?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*y - 17*y + 8. Let z be ((-7)\/(-28))\/(2\/y). Let h be (4 - (z + 9)) + -6599996. Round h to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 4*w - 24, 36*i - 38*i + 4*w - 12 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*h + 866*h = 70*h - 24804 for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**9\/504 - 259*q**6\/40 + q**5\/60 + 35*q**4\/8 - q**3\/6 - 2*q**2 - 56*q - 11. Find the third derivative of d(s) wrt s.\nAnswer: -120*s**3 - 4662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 162330 + 1346?\nAnswer: 164006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2665.2 - 3018. Let q = d + 353. Let k(s) = -s. Let n be k(-1). Which is the nearest to n? (a) -0.09 (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -311, -310, -311, -314?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 12:11 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**3 + 27*s**2 + 9*s - 47. Determine t(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*a*c**3*r - 5*a*c**3 - 4*a*c**2 + 413*a*r - 229*a - 4*c**3 + 33*c*r**3 + c wrt r.\nAnswer: -26*a*c**3 + 413*a + 99*c*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - 5)*7\/(-7). Suppose 2*s - 5*y - 9 = -70, -4*s - 87 = -3*y. Let d be (-9)\/t*(-12)\/s. Solve -16 = 4*z + 4*r, 2*r + 5 = -5*z - d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 250 and 3200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 5:33 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -4*z + a, 2*a = 6*z - 3*z - 55. Let i = z - 41. Let l = i + 48. What is the lowest common multiple of l and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - 119?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 2:01 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 2*g + 0*g)*(9 + 27 - 11)*(-1 - 4 + 1)*(4*g - 4*g + 5*g)*(1 - 3 + 9) in the form o*g + m + u*g**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-141)\/(-188) - (-350)\/(-40). What is the third biggest value in -0.4, -2\/7, o, -10\/9?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -10*v**2 + 5*v**2 + 4*v**2. Let z(k) = -9*k**2. Calculate n(z(c)).\nAnswer: -81*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -467513 - 6339817. Suppose r - 4847331 = -3*y + 2*y, 0 = -r + 1. Let l = y + w. What is l rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**4\/3 - 3950*l**3\/3 + 650758*l**2 - 641550*l - 3896676 = 0.\nAnswer: -2, 3, 987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 557.47224ns?\nAnswer: 0.000000000006452225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r**3 - 2*r**2 + 3*r - 2. Let f(m) = -4*m + 183 + 377 - 559 + 3*m**2 + 2*m**3 - 9*m**3. Calculate -3*c(d) - 2*f(d).\nAnswer: -4*d**3 - d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8254163kg in tonnes?\nAnswer: 0.0008254163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -119 (base 11) to base 6.\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-6))\/(-16 - -17). Suppose -25 = 4*g - 5*s, 0*g - 2*s = -g - 10. Let x = g - 1\/2. Which is the second smallest value? (a) d (b) x (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6747 and 14532843?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 17 + (-16)\/4. What is the greatest common factor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1447 - 529 = 142*h + 154 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2\/3 + 32536*i\/9 - 27166850\/9 = 0. What is i?\nAnswer: 1031, 13175\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 54023, 54918, 55817, 56720, 57627, 58538?\n\"Answer: 2*i**2 + 889*i + 53132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c + 42. Let x be p(-10). Solve -4*i + x*y = 5*y + 4, -y = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y = -8*y - 70. Suppose 0 = y*j - 17*j + 33. Calculate the greatest common divisor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 5*k**2 + 2*k + 2. Calculate y(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 60 = 11*c. Suppose c*g = g. Suppose 3*v - 4*v + 532 = 4*h, g = -3*h + 5*v + 399. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-1 + (-1 - -18) + -143 + 144).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z = 10 - 115 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8647 at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllilqqi. Give prob of sequence iil.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (3*6\/(-72))\/((-1)\/1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 528622164 to the power of 1\/4, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/2524, 0.1, -0.084?\nAnswer: -0.084","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 130\/546*180\/50\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35819 + -18711. Calculate the greatest common factor of 546 and u.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.16 + -3.1. Let p = 1.94 + t. Let j(z) = z**3 + 3*z**2 + 3*z + 1. Let s be j(-2). What is the second biggest value in p, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 27.755168 days?\nAnswer: 3.965024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/5 + 432*u\/5 - 46656\/5 = 0.\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4345 - -4349.0731. Let x = 0.0731 - k. Let s be (2\/6*-1)\/1. Which is the nearest to s? (a) x (b) 1\/2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -41 - -5b?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.5 + -12. Let b be 4 - 3 - (3 - -1). What is the smallest value in -6, b, c?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 98 + -98.0265. Round d to 3 decimal places.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3013334241 + 21?\nAnswer: -3013334220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*x + 31*x + 5*n = 5, -2 = x - 2*n. Suppose -2*g + 2*a = -2, 4*g + a - 5 = 6*a. Determine h so that 2\/5*h**2 + x + g*h**3 - 2\/5*h**4 + 0*h = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 11*k**3 - 230*k**2 - 11677*k + 244774. What is h(21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(130)*5)\/(sqrt(160)*1) + (2*-1*sqrt(78))\/(-1*sqrt(96)).\nAnswer: 7*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*x + 8, 4*t - 10 = 3*x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p - 4*p - 64. Suppose -60 = -p*n + 11*n. Solve 3*r - 2 = -y - n, -2*y - 16 = 5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 858*-1947463.\nAnswer: -1670923254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + h + 37220 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 415254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (500\/450*3\/25)\/((-4)\/(-70))\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Suppose -3*y - 5*n - 17 + 118 = g, -8 = 4*n. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -13841.\nAnswer: -27682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3\/4 + 82819263*n**2\/4 - 1714757622375423*n\/4 + 1714757539556161\/4 = 0.\nAnswer: 1, 41409631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3) + 2\/(-6). Solve -5*p + 2*l = r, 2*l + 2*l + 10 = 5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1349, 0, -2, -3291 in increasing order.\nAnswer: -3291, -2, 0, 1349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 2*z - 2. Let m be l(0). Let g(t) = -11*t**2 + 33*t - 50. Let d(q) = 3*q**2 + q. Let p(s) = m*d(s) - g(s). Factor p(o).\nAnswer: 5*(o - 5)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6*t - 132 = 0. What is the greatest common factor of 165 and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + 13*b - 10*b - 5*b + 8*b**3 as w*b**3 + u + o*b**2 + p*b and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22020 and 77070?\nAnswer: 154140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whlw when four letters picked without replacement from {w: 2, f: 5, h: 5, n: 6, l: 2}?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 730139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -4\/5, 2\/13, -6, -7 in decreasing order.\nAnswer: 2\/13, -4\/5, -6, -7, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000619 rounded to six dps?\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4371, 17608, 39697, 70638?\nAnswer: 110431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2868 - -2903. Calculate the remainder when 1992 is divided by a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -731906, -1463819, -2195732?\nAnswer: -2927645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-280)\/(-2730)*(-1)\/(-2)*-3.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30739 is divided by 439.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 - 73.5. Which is the second smallest value? (a) 5 (b) -3 (c) y (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1260 and 431060.\nAnswer: 3879540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0\/((-4)\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1460 divided by -2.\nAnswer: -730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 8:33 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 - -44. Suppose p*w = 2*w + 18. What is the highest common factor of 4 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 h when three letters picked without replacement from {h: 2, d: 1, t: 2, k: 2, j: 1, m: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**5\/3 - 428*o**4\/9 + 2116*o**3\/9 - 244*o**2 - 288*o + 240 = 0. Calculate o.\nAnswer: -1, 2\/3, 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*i - 698 + 698.\nAnswer: -51*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1009960042.\nAnswer: 2, 7, 13, 61, 90971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 133149\/7 - 19019. Let n(d) be the first derivative of -9 + a*d**2 - 2\/21*d**3 - 128\/7*d. Suppose n(g) = 0. What is g?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k - 35 = 5*z, 21331*z = k + 21329*z - 14 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1456, 1476, 1494, 1510?\n\"Answer: -o**2 + 23*o + 1434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -5 (c) 59 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**2\/4 - 75*a\/4 + 333 = 0.\nAnswer: -37, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.933206um to millimeters.\nAnswer: 0.007933206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -694289\/830780 - 2\/290773. Let l = -3\/35 - r. Determine n, given that l*n - 1\/4 + 1\/4*n**3 - 3\/4*n**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hujh when four letters picked without replacement from {p: 7, u: 3, j: 2, h: 5}?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4\/9 - 38*g**3\/9 + 130*g**2\/9 - 154*g\/9 + 20\/3 = 0. Calculate g.\nAnswer: 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -1, -5, 5 in ascending order.\nAnswer: -5, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33203102112 (base 4) to base 2.\nAnswer: 1111100011010010010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*v = -11*y + 15*y + 67*v + 10*v + 660, 3*y - 5*v + 28 = 0 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -927544\/5 equal to -185510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**8\/80 + h**7\/70 + h**6\/100 - 12*h**2. Suppose r(w) = 0. What is w?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4627379.0141 - 4627633. Let s = -254 - l. What is s rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a + 4. Let k(o) be the third derivative of -o**4\/3 - 7*o**3\/3 - 2*o**2. Let b(n) = -3*n - 5. Let q(w) = 11*b(w) - 4*k(w). Calculate -i(m) + q(m).\nAnswer: 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2306127 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31438.\nAnswer: 2, 11, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33602 is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 1 + 1)*(-3*z**2 + 6*z**2 + 0*z**2) + 740 + 74*z**4 - 740.\nAnswer: 77*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9447219t in kilograms?\nAnswer: 944.7219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213380437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**3 - 19*u**2 - 204*u + 36. Calculate p(10).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12*(-60)\/432)\/((-13)\/(-130))?\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -32334, -32343, -32352, -32361, -32370, -32379?\n\"Answer: -9*x - 32325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) + -3 + (-2*sqrt(26))\/sqrt(2).\nAnswer: -3 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*c - 24*c - 41208. Suppose -7637 = -5*a - c. What are the prime factors of a?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/4 of a milligram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96dd (base 16) to base 5.\nAnswer: 2213441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -402312 (base 5) in base 9?\nAnswer: -18537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 4:26 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 846959976, 846959977, 846959978, 846959979, 846959980, 846959981?\n\"Answer: l + 846959975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 244, 360?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38387722 is divided by 1655?\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 234363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-2))\/(((-616)\/44)\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o - 3. Let t be n(-6). What is the greatest common factor of 75 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75377 by -26.\nAnswer: -75377\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = -21*v + 52 + 32 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 3 + (4 - 1 - 5)*(-9 - 8 + 47))*(-2 - 2 + 1)*(0*h - 5*h + 4*h) as c + w*h and give w.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 282 = 2*i, -107 - 272 = -3*i - 5*a. Suppose -5*k + i = y, 7*k + 575 = 5*y + 2*k. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 4*f**2 + 14*f + 5. Let h be q(4). Let m = -55 + h. Let s(b) = 4*b**2 - b + 1. Let t be s(1). Sort -3, 2, t, m in descending order.\nAnswer: m, t, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 18*t**2 + 19*t + 45. List the prime factors of c(19).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(252)*1).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) -3898 (b) -0.3 (c) 4 (d) -5 (e) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = x - 3. Let a(k) = 11*k**2 - k - 1. Calculate the remainder when 31 + (-2)\/(-4)*0 is divided by a(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*s = -6*g + 35*s - 6, -2*g - 5*s = 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*x + 4*z + 14 = 0, -5*x - 2*z = -59. Solve -5*b = 5*t + 5, -x = 2*t + 3*t + 3*b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -151*g - 13. Is b(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/13, -163, 0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13201, 2\/11, 5 in increasing order.\nAnswer: 2\/11, 5, 13201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 3. Let o(l) = -5*l - 1. Let b be o(-1). Suppose -10 = b*y - 2. Give a(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1177 is divided by 72.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*a = 129, -4*a = 5*u - a - 122. Let r = -15 + u. What is the remainder when 4\/10 + 516\/r is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2243762 is divided by 22437.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1*f)**(-2\/3))**48*(f**4\/((f**(-1\/5)*f)\/f))\/((f\/(f**2\/f))\/f)**(-2\/85) assuming f is positive.\nAnswer: f**(-1017\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i = 0. Suppose i*k + 2 = k. Suppose -10 = -k*q + 4. Let c(s) = -s + 11. Determine c(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -105*n + 19955. Give g(190).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 184 + -174. Suppose y*a - 278066 = -95436. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 + 13*q + 5. Calculate w(-10).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s - 11. Suppose t = 35 - 13. Calculate the least common multiple of l(7) and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/(-35) - -1*4\/(-28). Is j != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*o = -27, 3*n + o = -o + 102. Let b = n - 36. Suppose b*u = -2*u + l + 273, -2 = -2*l. What are the prime factors of u?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hb when two letters picked without replacement from {d: 3, j: 3, h: 3, b: 1, e: 2, x: 4}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1233 + 116*q - 110*q - 818 to g*q + y and give y.\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008625733214 to six decimal places.\nAnswer: 0.000863","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*j - 4843 = -1873 + 2504 for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3007663, 3007657, 3007651, 3007645, 3007639, 3007633?\n\"Answer: -6*t + 3007669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*w**2 + 43*w**2 + 35*w**2 - 132*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 20 = q, j + 0*q = 5*q + 12. Let s be (-6)\/(-6 - 396\/(-63)). Let o = j - s. Solve 5*d = 4*h + o - 39, -h = 5*d + 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -24, -29, -36, -45, -56?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1924?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113424 + 113304 = -5*o - 3*m, -3*o + m = -72 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77971 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.487 - -6.487. What is the smallest value in -1, 2\/11, g, 0.4, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + 1 - (-6)\/2. Is d\/(-5) + 12840\/50 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 5*j = 82, -546 - 555 = 4*x - 3*j - 1155 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4*5)\/((-2059)\/(-58)). Is -1 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6353822.\nAnswer: 2, 31, 102481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 110102140 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 3. Let d(u) = u**3 - 7*u**2 - 16*u - 21. Let g be d(9). Is 23 a factor of (g + w)\/5 + 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*n - 3*j + 774, 34 = -123*n + 125*n - 4*j for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 34. Let g(d) = -5*d - 198. Let t(s) = g(s) - 6*l(s). Let i(y) be the second derivative of y**3\/6 + 5*y**2\/2 - 3*y. Determine -5*i(v) + 4*t(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + a670?\nAnswer: a671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330.0577ml to litres.\nAnswer: 0.3300577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -62. Suppose -2*x = 3*s - 22, -x - r = -6*x - s. Suppose -10*w + 8*w + x = 0. Solve -v + 10 = w*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 188710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 99*a**2 - 519*a + 101. Let y be d(-104). Let w(l) = -l - 8. Let h be w(-6). What is the second smallest value in h, 4, y, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 602274 (base 9) to base 6.\nAnswer: 11344021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2538*p**2. Let j(m) = 17346*m**2. What is l(j(x))?\nAnswer: 763642871208*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6315 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-144) - 0\/1. Let s(q) = 10*q**2 - 2*q - 5. Let a be s(-1). Suppose -a*h + 12*h + 5 = 0. Which is bigger: x or h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33892 - 33682. Suppose -l + 15 = 3. Calculate the least common multiple of l and p.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -4, -30\/7, 5\/3?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in grams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 133555977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 69, 144, 269, 456?\nAnswer: 717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/2*(-4)\/(-3). Let m be 0\/(-2)*q\/6. Let 0 + 0*g**3 + m*g**2 + 8\/9*g**5 + 2\/9*g**4 + 0*g = 0. Calculate g.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26888 is divided by 21108.\nAnswer: 5780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 118\/(-413)*1\/(-1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 + 24 - 86 + 100*k - 63*k.\nAnswer: 37*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 14*f + 74. Determine q(10).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 10:41 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 539088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 2 + 0 + (6 - 0) + -11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.38482 take away 31799196?\nAnswer: -31799194.61518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2307*y**2 + 2*y - 2*y + 57 - 55 + 1958*y**2.\nAnswer: -349*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13265\/188136 or -1?\nAnswer: -13265\/188136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**3\/6 + 47*g**2\/4 + 158. Factor j(x).\nAnswer: x*(x + 47)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 6*t = -4*t - 80, -t - 41 = -2*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1621?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -1\/74?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 11:14 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a meter in millimeters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -11020010212022202?\nAnswer: -11020010212022221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, l: 1, u: 8, t: 2, i: 3, c: 1}. What is prob of picking 1 c and 1 i?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -1403*n + 166946. What is t(119)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**2 + 1240*r - 3756 = 0.\nAnswer: -313, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 309 and 17230767.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 + 40. What is the third derivative of a**2 + a**4 + a**4 + 26*a**n wrt a?\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-236)\/(-413))\/(592\/(-56)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5384805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-22) - (-73606)\/209. Suppose 0 = -8*s + 12*s - y. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/7)\/((-43)\/(-301)). Let i(t) = 9*t**3 + 2*t**2 + t. Determine i(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 22*z**2 - 106. Let d(v) = -12*v**2 + 53. Suppose -28 = -2*c - 38. Let f(t) = c*d(t) - 2*b(t). What is the first derivative of f(k) wrt k?\nAnswer: 32*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 23. Suppose 0 = -2*k, -x*w = -3*k + 4 - 24. Suppose j = 2*d - 0*d, 0 = -5*j - w*d. Solve j = 3*u - 2*u + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3))**(-19)\/(i*i*(i\/((i**(9\/2)*i*i)\/i))\/i*i*i*i**(-3)) assuming i is positive.\nAnswer: i**(123\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 6 = r. Let q be (r\/(-4))\/(1\/220). Let y(f) = f**2 - 7*f + 10. Let n be y(7). Calculate the greatest common divisor of q and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -193089 (base 15) to base 9\nAnswer: -2266653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.05 and 275536.\nAnswer: 289312.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(2*sqrt(54)).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 313076076?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(w*(w**9\/w)\/w*w)\/w*w**12*((w**(-7\/3)\/w)\/w)\/(w\/(((w\/(w**(-5\/3)\/w))\/w)\/w)) assuming w is positive.\nAnswer: w**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -204.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -74211 + 662\nAnswer: -73549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {k: 8, r: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**2. Let w be ((-2)\/(-2))\/((-3)\/9). Let m(h) = -13*h**2 - 7*h + 7. Let s(o) = 6*o**2 + 3*o - 3. Let f(a) = w*m(a) - 7*s(a). What is j(f(y))?\nAnswer: 45*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -89*y**3 - 2*y**2 + 4*y - 11. Let c(i) = 88*i**3 + 2*i**2 - 6*i + 14. Determine -3*c(q) - 4*j(q).\nAnswer: 92*q**3 + 2*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 + 14*q**2 + 8*q**2 - 2*q**2 to k*q**2 + t + a*q and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6*x + 5. Let u be a(-4). Let j = 27 - u. Let r(b) = b**2 - 1. Let w(t) = -4*t**2 + 5. Determine j*r(f) - w(f).\nAnswer: 2*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 224531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from yyqyrrh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 50 = 2*p, 2*y - p - 20 + 1 = 0. What is the smallest common multiple of (0 - (1 - 0))*-2 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnnnhhnhhhhhnhnnnhnh. What is prob of sequence hhhn?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2. Let s(a) = -236*a**2 - 15*a - 66. Let q(b) = -34*b**2 - 2*b - 9. Let k(h) = 15*q(h) - 2*s(h). What is z(k(w))?\nAnswer: 4332*w**4 + 684*w**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + n**2 - 6*n - 11. What is the remainder when 71 is divided by p(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 47*b + 177. Determine g(-40).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*h + 34 - 34 + h + h + 0*h + 0*h + h - 3*h + (3*h - 6*h + 4*h)*(6 - 5 - 3) + 3*h - h + 0*h - 2*h + 3*h - 3*h - 5 - 2*h + 5 to o + j*h and give j.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2440 + -103300?\nAnswer: -100310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10\/99 + 139\/396. Is o greater than or equal to -231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602 is divided by (-13598)\/(-52) + (0 - -1 - 3\/2)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3042996 divided by 5.\nAnswer: -3042996\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/5891995 and 9\/434147.\nAnswer: 41243965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 7*g + 105. Let d(n) = -n - 2. Let o(f) = c(f) + 6*d(f). Let k(l) = l**2. Determine o(k(m)).\nAnswer: m**2 + 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*a**4 - 40*a**4 - 13*a**4)*(-26 - 7 - 2) + (-a**3 + 0*a + 0*a)*(2*a + 0*a - a) to q*a**2 + v*a + i + j*a**3 + b*a**4 and give b.\nAnswer: 1469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(170)\/sqrt(90).\nAnswer: -5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -309 + 928\/3. What is the closest to -6\/7 in 0, 0.4, i, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001081 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25\/127551 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a - 1277 = t, 3*a = -5*t - 6368. Let v = -898 - t. Suppose n + 2*n = -4*w + v, -5*n = -3*w + 245. Does 30 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1425 >= -29988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385043 divided by 24299?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484 = -41*j - 33 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 10:47 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - z + 25 = 0. Let o be (-1)\/(((-9)\/624)\/3). Suppose z*w + 4*v = 708, 2*v - o = 2*w - 502. Calculate the greatest common divisor of 16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10301 (base 4) to base 10.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 4:03 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.6, -5, -11, 2.4, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = 184*i - 292 + 89 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 take away -521971591464.7?\nAnswer: 521971591464.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/13)\/t*t*t**(-3\/8))\/(t\/((t*t**0)\/t))**(-5\/2) assuming t is positive.\nAnswer: t**(237\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92*h**3\/7 + 284*h**2\/7 - 24*h\/7.\nAnswer: -4*h*(h - 3)*(23*h - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 28670000 rounded to the nearest 1000000?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.996956 to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 a when three letters picked without replacement from {m: 1, b: 8, a: 4}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5150520082903 and -6.\nAnswer: -5150520082909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10293, 20570, 30845, 41118?\nAnswer: 51389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 768825972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208905?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 33*z**2. Let b(n) be the second derivative of 3*n - 6 + 1\/3*n**4 + 0*n**2 + 0*n**3. Calculate w(b(i)).\nAnswer: 528*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + n + 1872511 + 10121489, -3*i = 2*n - 11994000. What is i rounded to the nearest one hundred thousand?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5, 18, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccsccscssccssccs. What is prob of picking 2 s and 2 c?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 2, 3, -2910 in decreasing order.\nAnswer: 40, 3, 2, -2910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19062 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/213? (a) 2 (b) 2\/29 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7857 and 3492?\nAnswer: 31428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 11. Suppose -2*l - o*z = 14, 6*z - 3*z = -l - 13. Let u(j) = -j**3 - 4*j**2 - j + 3. What is the units digit of u(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 926.8581l to millilitres.\nAnswer: 926858.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 59 - 69 = 0, 3*d + 5*r = 46 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a1548 (base 12) in base 3?\nAnswer: 2021020012202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 8:05 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -15373288.293?\nAnswer: -15373288.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(117) + 3)*-1)**2 - (3 + (sqrt(832) - (sqrt(832)*-2*-5)**2)).\nAnswer: 64*sqrt(13) + 83701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 199243 + -80582. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 4*h + 3. Let v be j(4). What is the third smallest value in v, 2, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-18))\/(2\/48*-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.3 (c) -0.04 (d) -0.5 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 16*d + 143. What is the tens digit of j(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1687 - 123213782.\nAnswer: -123215469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4689 + 4390. Put -5, l, -1 in decreasing order.\nAnswer: -1, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74788*s**3 + 2*s - 58302?\nAnswer: 448728*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31784 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 1029.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -37 + 48 + q**3 - 19*q + 20*q. Give d(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74 - 118) + 42 + (1 - -15) + -19 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + (-58)\/14 - (-95)\/28. Which is the second biggest value? (a) 0.5 (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 27. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2404)\/150 + 25 + -9)\/(11\/(-165))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 364 and 35976752.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -903, -1376, -1967, -2682, -3527, -4508, -5631, -6902?\nAnswer: -8327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, k: 7}. What is prob of picking 2 k and 2 u?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, d: 3, u: 1, a: 3}. What is prob of sequence ujj?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 19*q**4 - q + 809. What is x(-1)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23+138748.63329\nAnswer: 138725.63329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**0)\/o**(-17) assuming o is positive.\nAnswer: o**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, s: 3, t: 5}. Give prob of picking 3 s and 1 y.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.96421cm in nanometers?\nAnswer: 879642100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-7) + ((-2856205)\/(-280))\/(-11). Let q = u - -928. Let l be (-3)\/9 - 1\/24. Which is the second biggest value? (a) q (b) l (c) 2\/13 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7138956 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 28 = 4*w + c, 3*c = w - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-46891)\/(-7214))\/((-13)\/(-54)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 338196.72 rounded to the nearest one thousand?\nAnswer: 338000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 64\/24*35538\/8. Is (-1)\/(p\/2962 - 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -5 (b) 17 (c) -1.264 (d) 1\/3 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -137*w + 4. Let o(c) = -46*c + 1. Let z(q) = 2*i(q) - 7*o(q). Let a be z(-3). Round a to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -13*s**3 + s. What is i(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 466057570 to the nearest 1000000.\nAnswer: 466000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 22803866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 466587 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/41 in 30, 5, -1, -0.4, -2\/117?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (180\/63)\/10*4\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 12*l + 3 - 33*l + 16*l + 8*l. Calculate the remainder when x(4) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/12? (a) 2.2 (b) 0.1 (c) 937 (d) -1\/3 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/2286236 and 49\/13717416?\nAnswer: 13717416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -916560.508 - 33.\nAnswer: -916593.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12430 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24485 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: Find the common denominator of -133\/4350 and 113\/2400.\nAnswer: 69600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*b**3*f**3 + 2*b**3*f - 18*b**2*f**2 + 3*b*f**3 wrt f?\nAnswer: 192*b**3 + 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1666587491 to the nearest integer?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 297 and 20130165?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*q = 3, 3*q - 8*q = 5. Let f(l) = -l. Let r(k) = 6*k + 1. Let a(o) = -6*o - 1. Let b(w) = -2*a(w) - 3*r(w). What is u*b(v) + 4*f(v)?\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 7. Let r be -1 + a + 2\/1. Solve r*z + 6 = -0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2798*m - 600*m + 2284*m)*((2*m + m - 5*m)*(4*m - 4*m + 2*m**2) + 1 - 1 + m**3).\nAnswer: -13446*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiyyiyffifiiiiiyifi. Give prob of sequence ify.\nAnswer: 88\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (86\/(-774))\/((-4)\/18)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbbgbbbggjgg. Give prob of picking 1 j, 2 b, and 1 g.\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 377, 404, 465, 572, 737, 972, 1289?\n\"Answer: 2*q**3 + 5*q**2 - 2*q + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)*2 - ((sqrt(15) + sqrt(15)*1)*1 + sqrt(15)))\/(-1*sqrt(20)*-2).\nAnswer: 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.2? (a) 2 (b) 1.5 (c) -2\/67 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77295*k**4*m + 49*k**4*y**2 - 602*k**2*m*y - 3*k**2*m + 74*k**2*y**2 - 14*m*y**2 wrt k.\nAnswer: 1855080*k*m + 1176*k*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56075 or 24841?\nAnswer: 56075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -657, 2\/9, 5, -0.015, -5, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 4*b - b - 4, 2*m - 8 = -b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -233\/11 or -20?\nAnswer: -233\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14464 divided by -8?\nAnswer: 1808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x + 82. Let k be j(-16). Suppose 0 = -4*l + k*z - 10, 8*z = 4*l + 4*z + 20. Do l and -1\/426 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14877133 or -14877146?\nAnswer: -14877146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3 + 6 - 6 - 3*u. Suppose -k + 10 = 2*a, -3*a + 6 = -0*k - 3*k. Let d be a\/18 - 20\/9. What is i(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2485247789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -98, -97, -96, -95?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 4 = -3*z, -4*z + 1 = -2*n - 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1929 + -1922. Let n = -163\/4 + 41. Which is the fourth biggest value? (a) 0.5 (b) n (c) 0.2 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 73*g - 2. Let r(b) = 85*b**2 + b - 1. Let f be r(1). Let c = -83 + f. Let o be t(c). What is the highest common divisor of o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6845360 by 10.\nAnswer: 684536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 451\/(-121)*11 + 10 + -12.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7808 by 3.\nAnswer: -7808\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 0.279 (c) 1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1\/4, -38, -1\/7 in decreasing order.\nAnswer: 0.5, -1\/7, -1\/4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-5*sqrt(85)*-2)\/(-6*-1*sqrt(15)\/sqrt(3))*5*-6)**2.\nAnswer: 170000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126628478 by -1921.\nAnswer: 65918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/42*56\/(-240).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*k - 75*k - 5*k**2 + 142*k as d*k**2 + r + o*k and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -1. Suppose -4*r = -3*q - 7, 0*r - 4 = 5*q + r. Let m be 4 - -1 - (-2)\/((-2)\/3). Let n(u) = -2*u - 3. Determine m*x(l) + q*n(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a hour in minutes?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2556.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -42*y**2 - 8*y + 177. What is r(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 1\/9, -0.5 in decreasing order.\nAnswer: 1\/9, -0.5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 167 + -91. Suppose -k - a = -3*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*j - 85, 2*j + 4*c - 55 = c. Suppose 43 = 3*u + 3*f + 148, u + j = f. What are the prime factors of u\/(-6)*30\/1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52417*d**3*h*n**2 + 26*d**3*h - d**2*h*n**2 - 179*d**2*h*n + 2*h*n wrt n?\nAnswer: 104834*d**3*h - 2*d**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/(-136))\/(6\/8).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**3 + z - 1. Let j be x(1). Let t be (-1 - 1)*(-41 - -39). Let n(c) = -c**3 + 5*c**2 + 6*c + 1. Let s be n(6). Solve s - j = -t*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 10:06 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122698641?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2697536059\/1764086 - -275\/47678. Let h = -1529 - g. Is h <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - (sqrt(136) - sqrt(136)*2))\/sqrt(8) - (5 + -2*sqrt(17)).\nAnswer: -5 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 7*g. Solve g*t + 10 = 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 76, -74, -658, -1892, -3992?\n\"Answer: -36*g**3 - g**2 + 105*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1714 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45629 = -26*r + 9725. What are the prime factors of r?\nAnswer: 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 4*i**2 + 6. Let v(o) be the second derivative of -5*o**3\/6 + 29*o**2\/2 - 5*o - 1. Let d be v(5). Calculate l(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, l: 10}. What is prob of picking 2 k?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -959704 or -959665?\nAnswer: -959665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j + 344. Let a be r(0). Let i = a - 96. Is (9\/2)\/9*i a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5394*m**5*o + 3*m**4*o**3 - 33*m*o**3 - 6*m*o + 10*m - 2 wrt m?\nAnswer: 107880*m**3*o + 36*m**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/94915434 and -71\/1044.\nAnswer: 569492604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4\/5, -13.8, -0.3, -4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 51*w + 761 = 0, 0 = 5*s + 2*w + 268 - 539 + 306 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**2 - 39926*m - 39928. Determine u(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.046 in 3, -1\/4, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 49776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 59894.\nAnswer: 2096290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 1 = 4*c + 23, -2 = 2*c - 2*w. Let k(i) be the third derivative of i**4\/24 + 5*i**3\/6 - 10*i**2. What is k(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by 3956.\nAnswer: 27\/1978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**2 - 10*t + 55. Let u(h) = -3*h**2 - 7*h + 37. Let i(c) = -5*p(c) + 7*u(c). Let x(n) be the first derivative of i(n). Determine x(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 18 = 7*x. Let o be ((4 - 3)*0)\/x. Solve 3*w + o*c + 17 = 5*c, -2*w = 4*c + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 331*o**3 + 4*o + 285. Let j(h) = 332*h**3 + 5*h + 285. Let b(a) = 4*j(a) - 5*v(a). What is the derivative of b(m) wrt m?\nAnswer: -981*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 7 + 15 + -22?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 18*z - 4 = 15*z, 2*o = 2*z - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.0095 (c) -1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeeeeeeeeepeee. What is prob of picking 3 e and 1 p?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -486, -201, 10\/49?\nAnswer: -486","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 36949*t - 36942*t + 2*m, 2*m = -t + 32 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*5*((0 + sqrt(396))*2*2 + -4)**2.\nAnswer: -31761 + 960*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 457702?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3906 or 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 8107690.31?\nAnswer: 8107658.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*f, 0 = -3*j - 2*f + 2. Let k = -1513 - -2125. Let q = k + -592. Solve q = -j*o - 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -p - 0. Let z = -176 + 184. Solve -p*o = -2 - z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 25 + 0*x - 22\/3*x**3 + 0*x**2 - 3\/4*x**4. Find the third derivative of y(l) wrt l.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 + -19. Calculate the remainder when 114 is divided by c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115522757.\nAnswer: 7, 47, 351133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 23*n + 16. Determine r(22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -20849*t + 667176. What is i(32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(20)\/(sqrt(2)*1)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4903, -4910, -4917, -4924, -4931, -4938?\n\"Answer: -7*y - 4896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -471\/184061 or 1?\nAnswer: -471\/184061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 75\/2 of a microgram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -28. Suppose -10 = -4*u + x*u. Suppose -2*g - g - q - 3 = 0, 3*g - u*q - 15 = 0. Solve 0*f = -4*y + 2*f - 14, g = y - 3*f - 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11895, 23788, 35681, 47574, 59467?\nAnswer: 71360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -681 - -639. Is 4\/c + (-4827750)\/(-630) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*n = -31*n - 1265. Let h = n + -489\/2. Which is the third smallest value? (a) -2 (b) 0 (c) h (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 3 - 7. Suppose 7 = -5*k + 22. Solve k = -5*n - y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 2*x + 1. Let z be j(2). Suppose 3*s + 4 - z = 0. Which is the nearest to 2\/7? (a) s (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l + l**5 + 5*l + 2*l**5 + l**5 - l**5 + (2*l**3 + 2*l**3 - 2*l**3)*(l**2 - 4 + 4).\nAnswer: 5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3039733, -3039733, -3039731, -3039727, -3039721?\n\"Answer: v**2 - 3*v - 3039731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**2. Let l(i) be the first derivative of 7\/2*i**2 + 0*i - 30. What is l(c(r))?\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -168 + 175. Solve -2 + x = -5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.023 or -6223?\nAnswer: -6223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 5.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 - 0.1. Sort g, 4, -5, 3.\nAnswer: -5, g, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*o + 9005, 122*o - 121*o + 4500 = h. List the prime factors of h.\nAnswer: 7, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.6719985 - -5.674. What is f rounded to 4 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 14*a**2 + 7. Let w be y(14). Suppose -w*t = -0*t - 805. List the prime factors of t.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 41*s + 2. Let j = 81 - 80. List the prime factors of q(j).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 939*p - 32*p**4 - 1880*p - 6 + 943*p to the form d*p**2 + b + v*p**3 + t*p + u*p**4 and give u.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10 - 8 - -732*1.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.4 * 3.\nAnswer: 67.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3339, -2 in descending order.\nAnswer: 3339, 8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.298866 to three dps.\nAnswer: -0.299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = 4*w - 333. Suppose g - 45 = -3*h, -6 + 141 = 3*g + h. Calculate the smallest common multiple of w and g.\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 r when three letters picked without replacement from {m: 5, r: 9}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30176, 30171, 30156, 30125, 30072, 29991?\n\"Answer: -t**3 + t**2 - t + 30177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 30 - 25 = -4*f, -2*f - 2 = 2*q. Which is smaller: -2\/8317 or f?\nAnswer: -2\/8317","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 3*t = 24, -4*g + 3 = -t - 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + 333*b - 661*b + 70*b**3 + 328*b + 4*b**3.\nAnswer: 74*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llls when four letters picked without replacement from lsllllllsllllsllsl.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 20. Let k(l) = -4. Let t(x) = 4*k(x) - 2*s(x). Let v be t(10). Solve 0 = -v*q - m - 2, 2*m - 5*m = -3*q - 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 - 7 - 10 + 17.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjj when three letters picked without replacement from {t: 1, j: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62539 = 10*x + 8284 + 285. What is the greatest common divisor of x and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2281?\nAnswer: 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -38. Let q be (24\/p)\/((-2)\/25). Calculate the highest common divisor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 2 = -7*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9919152 and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2352) + -1*sqrt(2352) + 3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 + t - 1. Let d be ((-1)\/(-2))\/1*4. Let a(c) = c**2 - 4*c + 3. Let u be a(d). Let g(m) = -m**3 + m**2 - m - 1. Determine u*g(z) + i(z).\nAnswer: -z**3 - z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 95, 105, 119, 137, 159?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 80*g**2 - 47*g + 2. Is u(-2) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71\/33 + -20\/11. Let l = -0.21 + 0.01. Let o = -0.2 + l. Put o, 0.4, -3, a in decreasing order.\nAnswer: 0.4, a, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 123\/20*g**5 - 23*g**2 - 6*g + 0*g**4 + 0*g**3 + 3. What is the derivative of y(m) wrt m?\nAnswer: 369*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17411.\nAnswer: 23, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**3 - 14*x**2 - 28*x - 16 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/(-308) + 2198\/196.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63.42 - -64. Let j = p + -0.4. Let r = -2.43 + j. Round r to 1 dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 2*t - 2008, 0 = -4*p - t - 3*t + 1612. Let q = -35 + p. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-3 - 4) - -3) + (-4 - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3869 + 3873. Let a = -0.04 - 0.96. What is the second smallest value in c, a, 0.039?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*g + 2*h - 1 = 395*g - 4, 5*g - 1 = -2*h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 12:17 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*o - 4*h + 84, 0 = -4*o - 4*h + 148. List the prime factors of 4\/(o\/12)*(-1464)\/(-9).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in -0.3, 0.00723, 3\/8, -0.5, 4?\nAnswer: 0.00723","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/49)\/((-6)\/42). Solve 0 = 5*l - 6*l - b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2805*p**3 + 1766*p**3 - 1431*p**3.\nAnswer: 3140*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 7*l**2 - 50*l + 9. Give q(9).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrg when three letters picked without replacement from {g: 2, r: 5, s: 2}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -104 - -154. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1199160?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -8*i. Let p(x) = 310*x**2. Give p(d(m)).\nAnswer: 19840*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117 - 14. Is 19 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + l + 3, 4*l + 0*l + 4 = 4*r. Let m = r - 0. Calculate the greatest common divisor of 2 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -0.0451511?\nAnswer: 0.9548489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-246)\/22 + 50\/275. Let f be 2 + 0 + (-74)\/6. Let z = f - d. Is 0.8 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**3 - 2*g**2 - 5*g - 4. Let z be (-4)\/14 - (-888)\/168. Let h(b) = 4*b**3 - 3*b**2 - 7*b - 6. What is z*h(l) - 7*i(l)?\nAnswer: -l**3 - l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 3d3?\nAnswer: -3ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -584*h = -580*h + 8. Which is smaller: -17\/18 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1580935960 to the nearest one hundred thousand.\nAnswer: 1580900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*f - 41, -f + 5*w = w + 25. Let x = f - -14. Factor -24*g**4 + 40*g**4 - 2*g**3 - 24*g**4 - 8*g**x.\nAnswer: -2*g**3*(2*g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22144 and 192376?\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*v**4 - 80*v**2 + 4*v + 125*v**2 - v**3 - v**3 wrt v.\nAnswer: 408*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12259 by -41.\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/246 and 19\/615?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 240 and 2240.\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 587328397 to the nearest integer?\nAnswer: 24235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -952.497 + 952. Let u = 0.073 - d. Round u to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 280 = 3*o - 310, -370 = -3*u - 5*o. Suppose -24 = 113*i - u*i. Calculate the smallest common multiple of 6 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 9. Suppose 40 = 5*l + b*r, 10 = -5*r + 30. List the prime factors of (2 - 156\/(-16))*l.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -815437*i**2 + 17*i + 815540*i**2 - 15*i.\nAnswer: 103*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 7:45 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 66, 131, 194, 255, 314, 371?\n\"Answer: -s**2 + 68*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -634*t = -624*t + 60 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(68) + (sqrt(68) - sqrt(68)*2))*2)\/(3*1*sqrt(64)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*q + 3480 = 0, o - 4*q - 720 = -0*o. Round o to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 306)*-1*(1 + -2). Let f = r - 208. Suppose 12*w - 11*w = f. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + 3*n - 5*n + 0*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 90 = -102 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1891 + 12158\nAnswer: 10267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 11:33 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 35. Let s = 271 + -264. Calculate the remainder when h is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 < -6\/14515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 535.5344 centimeters?\nAnswer: 5355.344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0638 - 0.0362. Let l = 0.6 + -3.6. Let n = l + 6. Which is the fourth smallest value? (a) 1 (b) n (c) q (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1526164 = -10*r + 536456. Suppose w + r + 108938 = 0. What is w rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 98 = 127. Let y(c) = -9*c + 43. Let q be (6\/8 + 63\/(-36))*5. Calculate the remainder when y(q) is divided by h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*y - 51, 4*y + 2*h - 17 = 37. Find the common denominator of y and -40\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49.6 - -49.5. Which is the nearest to -2\/3? (a) t (b) -2\/9 (c) -0.09 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 335924357*r**6 + 77942241*r**2.\nAnswer: 40310922840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -178*-320421\nAnswer: 57034938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 4*w**2 - 8*w - 17. What is k(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 16*n - 35. Let d = -13691 + 13705. Determine p(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -473 or -171981\/364?\nAnswer: -473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*d - 68 = 0, 2*p + 126*d - 122*d = 26. Calculate the remainder when p is divided by (1\/2)\/((-4)\/(-112)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, y: 2, m: 6, w: 2, d: 3, u: 1}. Give prob of sequence mmy.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189097467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1458*i + 1465*i + 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/50*13\/(468\/(-5))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/24 - 3\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 * 36.03341.\nAnswer: 50.446774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2255.797 + -2256. Are v and -3\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -5*j**8\/336 + j**7\/14 - j**6\/12 - 259*j**2. Solve k(c) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4669 + 160195 = 14*w. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9842 and 28196.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l + 189 - 93 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42239*o**3 - 423*o**2 + o + 169126?\nAnswer: -253434*o - 846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 202.\nAnswer: 11\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (3 + 6 - (4 + 10)) - 12\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -482 - -593. Is 332\/3 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 7. Let d be k(5). Suppose -d*m = -7*m + 20. Let z(l) = l**3 - 5*l**2 + 4*l + 3. What is z(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 7:43 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 224*a - 51. Is g(6) 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 -108088159, -108088160, -108088161, -108088162, -108088163?\n\"Answer: -y - 108088158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 49*a - 43*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -4, 1, 9\/8, 1\/4, -0.8368?\nAnswer: -0.8368","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.5 - 11.5. What is the smallest value in -0.27, 0.5, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -11*q + 6*q - 3*t, 0 = -4*q + 2*t + 12. Suppose -5*l - 4*f = 1, -5*f + 2*f = q*l + 3. Solve -3*k + l*j - 5 - 1 = 0, 0 = -4*k - 3*j + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54 or 51?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**2 - 52*k - 28. Let i be j(15). Let q = -45 + i. What is the remainder when q is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 times -1304?\nAnswer: 87368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 222624305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-10)*470\/235.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*((y*y**(3\/7)\/y)\/y*y)\/y*y)\/y)**40\/(y\/y**(-11)*y*y**(1\/14)) assuming y is positive.\nAnswer: y**(57\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 - -111211012?\nAnswer: 111211220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 7, l: 12}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73\/48 - -4259\/48. Let s = -4571\/2 - -19019\/8. Let x = l - s. Calculate the common denominator of x and -65\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/10)\/(11\/(-8195)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-3\/5)*i*i**(-3\/2)\/i*i)**24)**49)**(-18) assuming i is positive.\nAnswer: i**(116424\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 10:02 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 175726914 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33202429003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 6*r**2 - r - 1. Calculate k(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/1408 and 3\/4.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*z + 23097 = 22377. Let 2\/9*i**z + 14\/9 + 10\/3*i + 2*i**2 = 0. Calculate i.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.4, 4\/3, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26964785 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1757 and 16668157.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 3, -4, -1\/8, -57?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260, 323, 374, 407, 416, 395?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 + -94. Round g to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 97*k**4\/12 - 17*k**2\/2 - 94*k. What is the derivative of n(l) wrt l?\nAnswer: 194*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**9\/15120 - h**5\/40 - h**4\/24 + h**2. Let a(d) be the second derivative of s(d). What is the derivative of a(p) wrt p?\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23403 + 10?\nAnswer: -23343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-225)\/135)\/((-80)\/96)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**7\/168 + p**6\/360 - p**3\/2 - 4*p. Let f(x) be the second derivative of u(x). What is the third derivative of f(j) wrt j?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2 (b) -0.06 (c) 6826 (d) -3 (e) 0.3 (f) -6.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63273*b = 63308*b + 140 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r**(3\/5)\/r*r)\/r)\/(r\/(r*r*r**(4\/3))))**26 assuming r is positive.\nAnswer: r**(1144\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 + 2*j - 8. What is the remainder when p(5) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39304 = -8*c - 7600. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42560*h = -42555*h - 20, -244*g + 736 = h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4239 and 32903118.\nAnswer: 32903118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 9*t - 128 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c + 4*c**3 + 76*c**2 - 2 - 70*c**2 - 6*c**2. Let j(i) = -21*i**3 + 25*i + 11. What is 11*b(r) + 2*j(r)?\nAnswer: 2*r**3 - 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 166254552.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from ooooiiiooozooooooooz.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 42. Let m = h + 26. Find the second derivative of 12*y - m*y - y**5 + 5*y + 21*y wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -138*o + 258. List the prime factors of a(-6).\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1280, 2274, 3250, 4202, 5124, 6010, 6854, 7650?\n\"Answer: -o**3 - 3*o**2 + 1010*o + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*o - 1212, 500 = 2*c - 6*o + 3*o. Suppose -2*m = 4*n + 384, 3*n + 53 = 3*m - c. Is n smaller than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80*c - 98 + 98)*(11*c**3 - 9*c**3 - 3*c**2 - 3*c + 2*c**2).\nAnswer: 160*c**4 - 80*c**3 - 240*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39 and 99?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 4:45 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4.71 times -1.136\nAnswer: -5.35056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98 and 11781.\nAnswer: 164934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6*f**3 + 12*f**2 - 16*f - 5. Let h(v) = 6*v**3 - 13*v**2 + 16*v + 6. Let o(q) = -3*h(q) - 4*r(q). What are the prime factors of o(6)?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 12*g - 94. Determine n(15).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*f, -5*b + 7 - 3 = -3*f. Suppose 3*p + 5 = -f*p. Let d be (-1 + 4)*(-6)\/(-9). What is the biggest value in d, p, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2551223 * -0.5\nAnswer: -1275611.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4730695?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6834 - 54673\/8. What is the nearest to 5.8 in -4, 5, s, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104219892 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/3)\/(k*k**1))**(-6\/7))**(-4\/7) assuming k is positive.\nAnswer: k**(-64\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -84, 1, -1, 17, -5 in decreasing order.\nAnswer: 17, 1, -1, -5, -11, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 196.7 + -180. Let c = j - 17. Let z = 7 + -11. Sort c, 0.5, z.\nAnswer: z, c, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2496658 divided by 1248329.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 670*o = 668*o + 3*f + 79, 0 = -o - 2*f - 48 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.14 and 0.8.\nAnswer: 0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56265, -56246, -56227, -56208?\nAnswer: -56189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 18. Suppose 5*f - k - 7 = 0. Find the third derivative of -2*l**f + 4*l**2 - l**2 - 2*l**2 wrt l.\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 + 20*y + 108. Suppose 10*q = 3*q + 91. What are the prime factors of d(q)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**3\/3 + 5*s**2\/2 + 10*s - 127. Suppose -2*g + 8 = 4*n, 2*n - n = -g. Let b be y(g). Solve k = b*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -221*x - 511 + 1024 + 20*x - 513 to w + j*x and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55277 is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.5 - -12. Let v = 8 + z. Let f = v + -3. Round f to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, j: 4, q: 1, k: 4}. What is prob of sequence kk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116198, 232338, 348478?\nAnswer: 464618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-54)*(-33)\/(-11)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.22 (b) 1\/9 (c) -0.2 (d) -149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/2 - 345*l**2\/4 + 87*l\/4 + 1197.\nAnswer: 3*(l - 57)*(l - 4)*(2*l + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*3*140\/(-15). Let n = -13 - y. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 57, 48, -8, 3 in decreasing order.\nAnswer: 57, 48, 5, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 20. Give l(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 786527.\nAnswer: 7, 112361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, h: 2, w: 1}. Give prob of picking 1 h and 1 w.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 5*x - 2*x)*(-3 - 2 + 7) + 3*x - 2 + 0*x - x.\nAnswer: 6*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 2*p - 0*b + 2*b, -315 = -5*p + 5*b. Let v be 192\/p*(-5)\/(-2). What is the third derivative of 3 - v*c**4 - 3 + 5*c**2 + c**2 wrt c?\nAnswer: -192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*n**2 + 0*n + 30*n + 5 - 717*n**2 - 1053*n**2 - 18 wrt n.\nAnswer: -3576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 473 + -431.8. Let t = 41 - x. What is the second smallest value in t, 6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20367146 to the power of 1\/3, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + r**2 + 4*r + 4. Is 14 a factor of y(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4350549 is divided by 1087637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 24, -5.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6) + 0 + (-51)\/(-36).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56155774.\nAnswer: 2, 29, 757, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30.4 - -36. Let a = -5.635 + s. Round a to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + sqrt(5))**2 + 2 - sqrt(5)) + sqrt(15)\/sqrt(3) + -4.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 88993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 881 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 2*y - 42. Suppose 0 = -2*u + 6, -2*u - 5 = 3*k - y. Let j be 0*(-1 + 4\/2). Which is smaller: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2. Let o = 5626 - 5626. Let h(c) be the second derivative of 7*c - 1\/4*c**4 + 0*c**3 + 0*c**2 + o. Give h(b(q)).\nAnswer: -48*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 + 3*d - 4*d**3 - 10*d + 7*d.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75 + 163. Calculate the highest common factor of 22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 5. Let d = 19 + -14. Let x be p(d). Determine j, given that 1\/3*j**4 + 4\/3*j**2 + x + 0*j + 4\/3*j**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 11*j. Let g(m) = m + 2*m**2 + 2*m - m**2 - 4*m. Let z(i) = -4*i**2 + 3*i. Let y(v) = 3*g(v) + z(v). What is y(p(t))?\nAnswer: -121*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1547*r - 1540*r. Sort 28, r, 4, -2 in decreasing order.\nAnswer: 28, 4, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3374 = -156*t - 85*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29240500 rounded to the nearest one hundred thousand?\nAnswer: 29200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -27. Let b = 50 - j. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) 7\/5 (c) -6\/7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*sqrt(19) + (2 + sqrt(19))*3.\nAnswer: -2*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/6)\/((-10)\/(-105)). Factor -x + 2 - 2*v + 5 - 6*v**3 + 2*v**4 + 6*v**2.\nAnswer: 2*v*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1430647057?\nAnswer: 7, 204378151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 4:09 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajav when four letters picked without replacement from {v: 3, a: 2, z: 4, s: 1, j: 4, q: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*a + 4*i, -a - a = -5*i - 16. Let y = a - -4. What is the first derivative of 5*m**3 - 9 + y*m**3 - 5 wrt m?\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4967068 and 13609.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**4\/4 - d**3\/3 + d**2\/2 + 7*d + 29. Calculate z(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) - (-32)\/(-66). Let y = -3 + 2. Let x = -2.13 + 0.13. Which is the closest to 1? (a) x (b) r (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p - 2. Let f be s(2). Suppose t = -t + f. List the prime factors of (-6)\/15 - (-47)\/t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 3*b**2 - 11. Calculate o(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58689523877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 808 divide 6392088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t = -9*t + 9*t. Suppose t*l = 3*l - 48. Solve 4*p = -0*p - l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 55\/4 of a hour?\nAnswer: 825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -1\/462*o**7 - 1\/220*o**5 + 7\/1320*o**6 + 85*o**2 + 0*o + 0*o**3 + 0 + 1\/3696*o**8 + 0*o**4. Factor c(h).\nAnswer: h**2*(h - 3)*(h - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008 times -5?\nAnswer: -5040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**15\/t*t*(t*t**21)\/t)\/((t**(-11\/5)\/t)\/t)**4 assuming t is positive.\nAnswer: t**(264\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -94*f**2 + 85*f**2 + 2*f - f - f**3 as l*f + v + t*f**2 + r*f**3 and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzpqzzzzqzqzzzqqq. What is prob of picking 3 z and 1 p?\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r**(1\/2)\/r))*r\/(r\/(((r\/r**(-9))\/r)\/r)))\/(r**(1\/4)*(r**(-1\/5)\/r*r)\/r) assuming r is positive.\nAnswer: r**(169\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*o + 6*o. Let b be 48\/(-36)*18\/o. Let m be 85\/15 + 2\/b. Sort 5, m, 2\/7 in descending order.\nAnswer: m, 5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44161?\nAnswer: 13, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -476*q**2\/3 - 29634340*q\/3 - 498056\/3.\nAnswer: -4*(q + 62257)*(119*q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1521058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 112 (b) 0.912 (c) -54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a tonne in kilograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 12) to base 9.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22170\/(-30)*(0 - 2 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -34. Suppose -r*c - 20 = -4*i, 6*c - c = -15. Suppose -42 = -i*n - 0. Calculate the greatest common factor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5 - 156*y**4 - 474*y**3 - 476*y**2 - 159*y.\nAnswer: y*(y - 159)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001970338892 rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -56352.2?\nAnswer: 56351.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.067291071 * -0.04.\nAnswer: -0.00269164284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 114 = -6. Suppose -6*p + 15 = -v. Suppose -5*k + 13 + 7 = 0, -p*y + 452 = 3*k. Is 89 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 12 (b) -1\/3 (c) 3\/8 (d) 4547 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.96 and -24306.\nAnswer: -24307.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -252, 1 in decreasing order.\nAnswer: 11, 1, -252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(44) - (sqrt(2156) + -4) - -1*sqrt(1100))*-6)**2.\nAnswer: -504*sqrt(11) + 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2242.097 hours?\nAnswer: 8071549200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 113, -2, -3111.\nAnswer: -3111, -16, -2, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**4 + 180*t**3 + 2400*t**2 + 8000*t = 0. What is t?\nAnswer: -20, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -712*f + 837 = -721*f. Is -471\/5 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -126 + -558550?\nAnswer: -558676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 - 20*n**2 + 41*n + 21. Let u be a(-18). Suppose -q + 7427 = 5*i, 16*q - u = -3*i + 19*q. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 0*u**5 - 3 - 4*u**2 + 13\/105*u**7 - 11\/6*u**3 + 0*u + 0*u**6 + 0*u**4. What is the derivative of n(a) wrt a?\nAnswer: 104*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 399\/65 + -72\/13. Let n = -179\/12 - -44\/3. Which is the closest to o? (a) 3 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c + c = 168. Suppose -66 = -c*k + k. Calculate the smallest common multiple of 54 and k.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -297\/5, 0.3, 134?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-30)\/(-8))\/(36\/480).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.3263 + 10.3. Let a = -0.029 - h. What is a rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g + 22 = 56. Let i = 932 + -914. Calculate the greatest common factor of i and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -133, -747, -1527, -2479, -3609?\n\"Answer: -r**3 - 77*r**2 - 376*r + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 694 divided by -694.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2420363785 a multiple of 6755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 75.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -415, -4493, -11287, -20803, -33047, -48025?\nAnswer: -65743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61173 - -107458. What is the thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -11*d**2. Let x(r) be the first derivative of r**2 - 12. What is x(f(y))?\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 23*p + 18648 = 0. Let o = p + -894. Suppose 4*l - o = 2*l. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 648 - 646. Let z(d) = 387513*d**2 - 26*d. Let q be z(j). What is q rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 7*u**2 + 3*u - 6. Calculate the remainder when 55 is divided by s(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, u: 1, s: 6, e: 1, a: 1, x: 1}. What is prob of picking 1 s and 1 u?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2\/5 - 10338*z\/5 + 134563\/5 = 0.\nAnswer: -10351, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*l + 332, 0 = y - 5*y - 5*l - 344. Let b be 883\/(-5) - 16\/40. Let z = y - b. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4246102529 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 45 = 6*a. Suppose -a*d + 174 = -7*d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + -1. Calculate the remainder when (-2)\/h + 134\/3 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -214 and 148?\nAnswer: -31672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 12*l + 31. Let d be k(-14). Suppose 2*t + 215 = -d*f + 55, -6 = 3*f. Let v = t - -192. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 522 + -46221?\nAnswer: -45477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 4\/3*w**3 + 2\/3*w**4 + 8\/3*w - 14\/3*w**2 = 0. What is w?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/((-166572)\/(-166652) - 1). Let w = h + 4171. Find the common denominator of 27\/4 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4522 and 1231846.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -145 - (1165 + -1151 - (0 - -44))?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from cooceceooeoe.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -13*m**2 + m. Let c be x(1). Let h = 36 + 14. Let a be c\/54 - h\/18. Sort -2, 4, a in descending order.\nAnswer: 4, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 5*u**2 + 4*u - 6. Suppose -3*y - 4*g = -11, 2*y = 2*g + g + 13. Suppose -y*l + 20 = -5*k, -2*l - 2*k = -0 - 8. Give q(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2\/6 + u + 4\/3 = 0. Calculate u.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*k**2 - 311*k + 301*k + 5*k**2 wrt k.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 130 + -265\/2. Which is greater: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) -0.3 (c) 0.05 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -182 * -4.\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k - 8 = 0. Let h be 9\/k + 2\/8. Let q be ((-3)\/2)\/((-35)\/(-14)). Does q = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295039 is divided by 73622?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32112485233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 3. Let w(i) be the first derivative of -1\/12*i**6 + 1\/5*i**5 + 0*i**a - 1\/8*i**4 + 1 + 0*i + 0*i**2. What is d in w(d) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from diidddiiiiid.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 944, 1590, 2236, 2882, 3528, 4174?\nAnswer: 4820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -10, -0.1, 1.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*u**2\/5 - 86*u\/5 - 22\/5 = 0. Calculate u.\nAnswer: -1\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 1. Let f(v) be the first derivative of 10*v**2 - 210. Calculate h(f(y)).\nAnswer: 400*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, e: 8}. Give prob of picking 1 s and 2 e.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 354*y**2 + 255930*y + 426834410 wrt y?\nAnswer: 708*y + 255930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 9*l**2 - 3*l + 7. Let t be h(4). Calculate the greatest common divisor of t and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 2:07 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32710 and 8455535.\nAnswer: 16911070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 8:52 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - (0 - -1)) + 6. Suppose 0 = g + o - 4, -2*g + 2*o - i = -13. Suppose g = -2*r + 8. Solve -5*z = -4*z - r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3 = -w. Suppose w*y - 3 = -6. Let k be (3\/y)\/(-3)*0. Solve 3*z + 2*z + 25 = k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310011130 (base 4) to base 3.\nAnswer: -101211122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -195*m - m**2 + 115*m + 100*m + 109 as k*m**2 + x + c*m and give x.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/14)\/j**(-4)*(j*(j*j*j\/(j\/(j**4*j)))\/j*j)**(-30\/7) assuming j is positive.\nAnswer: j**(-425\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112 - -123?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2 - 12*k + 30. Let x be c(9). Let u(p) = 5*p + 82 - x + 83. Let d(i) = i**2 - 1 + 1. Give d(u(v)).\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 24403?\nAnswer: 24400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 98483 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5290 - -58152\/11. Let p be (-98)\/63*4594\/4. Let i = p + 1783. Find the common denominator of b and i.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2\/8 + 923*r\/4 + 9255\/8 = 0.\nAnswer: -5, 1851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 112563*p. Let y(u) = 6*u + 1. Determine g(y(s)).\nAnswer: 675378*s + 112563","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17945?\nAnswer: 5, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9669880 and 380.\nAnswer: 183727720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 6) + 17 + -16 + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 8*o**2 + 6*o + 5. Let k be n(-7). Let j be (-16)\/(-28) + k\/28. Let v be j - 11\/((-33)\/30). Which is smaller: 12 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 5*j**4\/12 + 2*j**3\/3 - 9*j. What is the second derivative of n(l) wrt l?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/6*8\/(-6). Let p be -4999*(3 - (-5)\/w). Let q = 7556\/3 + p. What is the common denominator of 81\/8 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/21 (b) -5 (c) -0.4 (d) 0.4 (e) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1255.\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = g + 18, -9 = 5*g - i + 3. Let d be g\/(9\/(-6)) - 149. Let u = d + 221. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 13. Suppose s*k + 0*k - 30 = 0. Let z(w) = -9*w**3 - 6*w**2 - 3*w + 12. Let t(p) = p**3 + p - 1. Let q(m) = k*t(m) + z(m). What is u in q(u) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p + 6. Let f be 3 + -5 + (-1 - -2) + 1. Suppose 13*x = -f*x - 78. Let n(t) = -4*t - 7. Determine x*n(o) - 7*y(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 10*t + 23. What is v(12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivilvl. What is prob of picking 2 l?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-25)\/(-25) + 3*10\/6. Solve -t*z = 30 - 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from phphhhpprpphppprhprr.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7616 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -920*s**3 - s**2 + 3198*s**3 - 444*s**3 - 866*s**3 - 893*s**3.\nAnswer: 75*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t = 2*m + 398, 5*t - 4410*m - 121 = -4404*m for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1057)\/21*(-4)\/(8\/30) is divided by 129?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/10, -2\/17, -29?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 202\/404 - (-6)\/4*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1716*v**2 + 283*v**2 + 796*v**2.\nAnswer: -637*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 10*r - 4. Let w be v(1). Suppose -9 = -6*d + 3*d. Suppose -d*t + 3 = -w. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6.1, -6, -5, 1.2, 0.7, -2\/3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*q - 5*q + 3*f, 5*q - 35 = -5*f. Let i(z) = z. Let p be i(q). Solve -2*y + 20 = 3*w, 4*w + p*y + 10 - 34 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102044113 (base 5) to base 3.\nAnswer: -210120212100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(3\/17))**(-28) assuming m is positive.\nAnswer: m**(-392\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -183 - -188. Solve 4*m + 0*m = y + 3, c*m + 2*y = -6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**3 + 8515*r**2 - 17045*r + 8525 = 0.\nAnswer: -1705, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 20. Let b be k(15). Suppose -x + 533 = b*v + 107, -x - 424 = -5*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-1)*5*8\/40. Suppose 0 = -3*s + 6, -3*q - 10 = -5*q - s. Sort q, k, -1 in descending order.\nAnswer: q, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4 + 11 = 3*o, 4*s = 5*o - 19 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -227\/1080 - 127\/120. Calculate the common denominator of (-3)\/27*282\/(-8) and r.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 3*z + 16 + 2*z)*((4 + 2 - 4)*(2*z + 0 + 0) - 2*z + 2*z + 3*z).\nAnswer: -7*z**2 + 28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 51 and -21\/23374 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**4\/12 - 11*q**3\/6 - 6*q**2 - 4*q. Let b be i(-9). What are the prime factors of b\/(-2 + (-11)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 15 = -60. Let u = k - 6. Factor -5*f**4 + 9*f**3 + f - f - 7*f**2 + 2*f - 2*f**5 + u*f**5.\nAnswer: f*(f - 2)*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**2 - 2*r + 1. Let q(u) = -8*u - 6. Let b be q(-1). Calculate the least common multiple of h(b) and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 90 + (1\/1)\/(18\/(-36)). Let f be 25\/10*l*1. Suppose -3*c + 173 = -f. List the prime factors of c.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4248.4 - -4255.3964. Let c = j - 7. What is c rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 38508610?\nAnswer: -38508605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 5*h**2 + 3*h - 10. Let k be z(5). Let s(p) = p + 1. Let r(x) = 6*x + 5. Let c(u) = k*s(u) - r(u). Let t(b) = -3*b. Give c(t(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9637 + -7516859\/780. Let z be (-187)\/(-16)*164\/(-585). Let s = k - z. Calculate the common denominator of s and -117\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 19.23619?\nAnswer: 25.23619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 260525 divided by -52105\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 7*l = -20. Is 11 a factor of l\/(2 + -3)*(-35)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2795075490 to the power of 1\/2, to the nearest integer?\nAnswer: 52868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.5, 1\/2, -44.7 in decreasing order.\nAnswer: 1.5, 1\/2, -44.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29.79 + 31.2. Let w = -1.11 + x. Let s = 40.8 - w. What is s rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a centimeter in millimeters?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 79*x**3 + 3*x**2 - 3*x + 2. Let o be v(2). Let c(r) = -3*r + 28. Let i be c(7). Suppose -i*g = -718 - o. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = 30, 3*n - 41 = -1611*r + 1607*r - 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -47492 divided by 1532\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3091 + -2792. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0*q + 30. Let n = q - 1. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 212 divided by 1071097\nAnswer: 212\/1071097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 39422499 to the power of 1\/3, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 0) + 3\/(-4). Let o = -12 + 12.1. Let x = 0.4 - o. What is the third smallest value in y, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*s**4 - 4 - 45*s**4 - 5*s**3 - s + 83*s**4 + s**2 in the form f + a*s**2 + b*s + c*s**3 + m*s**4 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5830476 is divided by 571?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5527188774 to the power of 1\/2, to the nearest integer?\nAnswer: 74345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1272883, -5, -43?\nAnswer: -1272883","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12478813561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -8 - 23*f + 9*f + 8*f + 10*f. Let k be t(8). Suppose 5*p - k = -j + 21, 0 = -4*p + 20. What is the highest common factor of j and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5754 by 3.\nAnswer: -1918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 951 - 955. Let x be 0 + 0 - 3\/(-12). Which is the nearest to x? (a) y (b) -0.2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -68\/19, -5, 1, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1091?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**3 + 7*c**2 - c + 7. Let n(h) be the first derivative of h**4 + 2*h**3 - h**2\/2 + 6*h + 7. Let s(j) = -6*n(j) + 5*t(j). Determine s(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (25\/(-20))\/((-1)\/(-4)). Let d(j) = -j**2 - 7*j + 2. What is the tens digit of d(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -5*x - 861. Suppose -q + x = -8*q. Let r = 119 + q. Is 26 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77.995 + 0.005. Let m = x - 77.957. Round m to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1173*c - 41503 - 27704 for c.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17044975 and 1295.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 4, -1\/2346, 88, 3\/4?\nAnswer: -1\/2346","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.682 and -0.5.\nAnswer: 0.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -4. Let n = -3.844 - 0.156. What is the third biggest value in w, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 - 19*r - 31. Let f be z(-21). Let s = -357 - f. What are the prime factors of s?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2*u - 12534, -5*u - 16254 + 41320 = 4*w. What is the thousands digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 26.485449 microseconds?\nAnswer: 0.00000044142415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 20604.\nAnswer: 1\/6868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**5\/20 + 2*c**4\/3 - 11*c**3\/6 + c**2\/2 + 28*c - 96. Give q(-10).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 3*q - 1. Let l be g(-3). Let y be 0 + 0*2\/(-4). Suppose 0 = 3*j + 3 - y. Is j != l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16372800 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*m + 3*t - 5*t, 0 = 2*m + 3*t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -23, -21 in decreasing order.\nAnswer: 15, -21, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 3, 1\/5, 887?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*l + 33 = -0*l, 0 = -3*n - 3*l - 9. Suppose o + n*o = 15. Let y(s) = 13*s**2 + 6. Is y(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 11 - 69 = -16*t, -37*m + 5 = -38*m + t for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -7\/4*z**4 + 2 + 0*z**2 + 0*z**3 + 5*z. Differentiate b(w) with respect to w.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78421984?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 264768 + -6?\nAnswer: 264762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0538 - -0.05379181. Round j to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.591733 * 26\nAnswer: -197.385058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030\/412*1292\/95?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -171 + 250. Let i = y + -42. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g - 713*g**2 + 3*g - 6060*g**2 + g.\nAnswer: -6773*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/437021?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-7)\/98*(9 + -5). Let w = -47 + 327\/7. Which is the closest to 1\/4? (a) 0.1 (b) i (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((32\/(-182))\/4)\/((-918)\/12852)\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 145 + -d1?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -9*f**8\/56 + f**4\/3 + 5*f - 2. Let d(w) be the first derivative of m(w). Find the third derivative of d(j) wrt j.\nAnswer: -1080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*f + 2*f - 4*f)*(4 - f + 1 - 3).\nAnswer: -f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -30, 4*z = 8*z - 4*a + 40 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 4:18 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 2:11 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -4. Suppose 0*b + b + 1910008 = 2*d, -d + 9550004 = -l*b. Round b to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 324*y**5 + 4*y**4 - 9366*y**2?\nAnswer: 19440*y**2 + 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1\/5, 1\/4, -2441 in ascending order.\nAnswer: -2441, -12, 1\/5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 f when two letters picked without replacement from fttssttsttyfj.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.50214745 rounded to zero decimal places?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 1. Let v be f(-3). Let r be v\/(-5) + (-156)\/(-10). Suppose -r = 4*c - 40. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -2\/339797, -3\/59?\nAnswer: -2\/339797","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 12:48 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -99*x**4\/4 - 14*x**2 + 86. What is the second derivative of n(i) wrt i?\nAnswer: -594*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 5. Let m be ((-2)\/(-24))\/(y\/(-8)). Let g be 18\/10 + ((-1628)\/110 - -14). Is g at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i**2 - 518*i - 15958. Determine k(-79).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 165 + -165.161. Let b = 0.039 - i. Sort 4, 0.07, b in decreasing order.\nAnswer: 4, b, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.126977km in meters?\nAnswer: 1126.977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4435, -5, -19 in descending order.\nAnswer: 4435, 5, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 761757402 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 941035811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 4*f**2 - 5*f + 1. Let o be v(5). Let d be (-2)\/(-8) - (-1 - -2)\/(-4). Is d bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(17) + 1*sqrt(272) + sqrt(272))**2 + 5) + -6*(-1 + (sqrt(102)\/(sqrt(6)*3 - sqrt(6)))**2))*-6.\nAnswer: -41343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 181012 divided by 4?\nAnswer: 45253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/28))**25*b**(-12)\/(b*b*b**(3\/22)) assuming b is positive.\nAnswer: b**(-4629\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 12:05 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4345*d**3*f*y + 2*d*f + 5*d*y + 458*f - 348*y wrt d.\nAnswer: -13035*d**2*f*y + 2*f + 5*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiiiigg. Give prob of sequence iigi.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -8 + 4 + -6 + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 9 - 4*p + (0 - 3 + 4)*(-2*p + 1 - 1) + 45*p + 93*p + 42*p as z*p + s and give z.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 = -s, -2*y = -2*s - 0*y + 14. Suppose -s*g - 3150000 = 2*g. What is g rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 263169 - 30098*k - 30547*k + 59619*k + k**2.\nAnswer: (k - 513)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.66999834 + 1.67. What is g rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 29\/5 of a meter?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -271.\nAnswer: -3\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.29 + -0.2856. What is l rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3263.63 to the nearest ten.\nAnswer: -3260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*d - 4812 - 10184. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/804 and 157\/180.\nAnswer: 12060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -5*l - 5*n - 36, -13 - 2 = -5*l + 3*n for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20216, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4 = 0, 2*d - 3*h = -7*h + 14. Suppose -d*x - 2764 = -15*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21112295 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/6 (b) 4 (c) -16 (d) -0.601\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 51822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 587\/65 - (-608)\/(-19760). What is the closest to -2\/3 in 5, -10, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -9*u**3 - 10*u**2 - 5*u + 23. Let y(z) = 9*z**3 + 12*z**2 + 6*z - 22. What is 6*h(f) + 5*y(f)?\nAnswer: -9*f**3 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.3, -3, -9\/29, -1\/2, 9, -14?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52159738?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 0 - (2 - 0)) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 76 + 70. Solve 5*q = t - 5, t - 4*q - 4 = w*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, 75, -3, 4 in descending order.\nAnswer: 75, 50, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 21*k = 1515. Let m = k + -99. Solve n + 3 = -m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 + 115. Is a a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 21. Let y = -332 + 330.1. Is m greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 49\/5 of a centimeter?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 499.85 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (22\/(-4))\/(2\/4). Suppose p + 30*p = -310. Which is bigger: p or g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.4 (b) -6 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -298806*q - 697905.\nAnswer: -298806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 790315866 take away -2.3?\nAnswer: 790315868.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eepvetk. What is prob of picking 1 e and 1 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -52 - (65 + 46 + -135)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.589654 rounded to three decimal places?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 49298*o**4\/7 + 2368816*o**3\/7 + 28516256*o**2\/7 + 1448448*o\/7 + 18432\/7 = 0. Calculate o.\nAnswer: -24, -4\/157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-37128)\/(-3822)*21\/6\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*t**4*w + 19*t**4 - 2*t**3*w + 22*t**3 - 18*t**2*w + 4*t**2 + 7779*t wrt t.\nAnswer: -360*t*w + 456*t - 12*w + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1501533 (base 9) to base 14.\nAnswer: 1779a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a - 924 = -a. Let m = a + 123. What are the prime factors of m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6122140 and 66545?\nAnswer: 6122140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 5*p - 120 + 72 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 270708 and 2282.\nAnswer: 308877828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 7 = -5*s + 3*h, -2*h - 1 = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (-50853792)\/(-84)) + (-2)\/(-7). What is b rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26726 (base 11) to base 14.\nAnswer: -dc87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 959 and 12193.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4927070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 843, 2 in increasing order.\nAnswer: -1, 2, 843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 99.0784?\nAnswer: 99.0784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**5\/15 - g**4\/8 + g**2. Find the second derivative of c(m) wrt m.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -89*i + 4. Let y(m) = 6*m - 1. Let n be y(0). List the prime factors of a(n).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 a factor of 132326326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i + 9. Let t be q(-9). Solve 4*k = -5*j + t, 0 = -5*j - 3*k + 22 + 18 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 + 30*s**2 + s + 17. Give d(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 146\/(-10) + (-9)\/(-15). Let n(r) = -r**3 - 13*r**2 + 10*r + 3. Is n(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -19. Let g be (-1)\/f + 152\/40. Is 4 != g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(44\/8 + -4). Let z = 18 - 18. Which is the closest to z? (a) -1 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.059 + -0.061. Let i = j + 0.113. What is i rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(66)*-1 - sqrt(66) - sqrt(66) - sqrt(66) - sqrt(66))\/sqrt(6) - (sqrt(88)\/(sqrt(8) - sqrt(8)*-2 - sqrt(8)) + (-2*sqrt(77))\/sqrt(7)))*-5)**2.\nAnswer: 33275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 12:35 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 145406 to the power of 1\/2, to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21, -31, -51, -87, -145, -231, -351, -511?\n\"Answer: -j**3 + j**2 - 6*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49054 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/3)\/(415\/1992)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 3*p + 3*p + p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74008 or 3039?\nAnswer: -74008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*g = -36*g + 30*g + 5840 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 229*t - 1. Let d(m) = -408*m + 5. Let b(h) = -167*h + 2. Let f(n) = 15*b(n) - 6*d(n). What is 9*f(v) + 2*l(v)?\nAnswer: -55*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*q**4 + 24*q**2 + 2*q + 181?\nAnswer: -228*q**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -23*l + 5. Let s(p) = 196*p - 42. Let f(m) = -42*c(m) - 5*s(m). Let t(u) = 2*u**2 - 6*u**2 + 5*u**2 - 2*u**2. Give f(t(j)).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvvkfpfh. Give prob of picking 1 f, 1 k, and 1 v.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2\/3 - 256148*b\/3 - 16402949476\/3 = 0?\nAnswer: -128074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-32) - 1917\/24. Let j = 164 + l. Suppose 5*x - 189 = 91. What is the highest common divisor of x and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1286869*l**3 + 6*l + 54960 wrt l?\nAnswer: 7721214*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 358622700 to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 52 - 23*w + 43*w - 5 - 19*w + 0 + 0 + 2*w + (2 + w - 2)*(2 + 2 - 2).\nAnswer: 5*w + 47","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8192 is divided by 3901?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o - 1. Let r be s(2). Let m = 9 - 4. Suppose 0 = -r*y + m + 1. Solve -4*l + 2 = -y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 n when four letters picked without replacement from {i: 1, p: 1, n: 3, t: 1, e: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 6:14 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111110110 - -101001?\nAnswer: -10111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12806371 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -21*n + 8*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*c**2 - 2 + 11*c**2 - 5*c**2 - c**4 + 3*c**4 - c to y*c + v*c**3 + i + p*c**2 + k*c**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -47, -4, 24 in decreasing order.\nAnswer: 24, 1, 0, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5251 + -10?\nAnswer: -5261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s**3 + 34*s**2 - 6*s - 7. Let v be w(5). Let g = -16 + 25. Calculate the greatest common factor of v and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/719 in 6\/11, 6, 5, -4?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14739555 divided by 35517?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddldmldldlmllllldd. Give prob of picking 2 l.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0 (c) -1\/8 (d) -11.3 (e) -21 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/159*(-316)\/(-474).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9096\/7 or 0.3?\nAnswer: -9096\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -2\/11 (c) 2 (d) -268 (e) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 583.7157 grams to milligrams.\nAnswer: 583715.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480 = 111*v - 91*v. Calculate the lowest common multiple of (-6)\/(-9) + (-46)\/(-3) and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 228563?\nAnswer: 91425.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(14\/(-385))\/(5*(-36)\/150)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-579)\/(-6))\/((-2)\/4). Let l = c - -389\/2. Sort -2\/5, 1, l in increasing order.\nAnswer: -2\/5, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/4? (a) -3 (b) 23 (c) -0.4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -4, 5, -6, -5 in descending order.\nAnswer: 5, -4, -5, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -8. Suppose -36*d = 28*d - 128. Solve w*l + 50 - 10 = -5*x, d*x = -3*l - 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13824894 is divided by 939.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, x: 10}. Give prob of picking 2 r and 1 x.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h + i = -49, 0 = 5*h - 3*i + 53. Let l = 18 + h. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*2\/(-21)*-1. Let t be (-4)\/(-26) - (376\/(-91) + 4). Sort 1, f, t.\nAnswer: f, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4626, 4721, 4880, 5103, 5390, 5741?\n\"Answer: 32*h**2 - h + 4595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239703434 is divided by 7871.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((2\/(-3))\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1245?\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*y - 593 = 942 - 325 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -57c23 (base 14) to base 9\nAnswer: -355082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**4\/11 + 75*r**3\/11 - 37*r**2 - 483*r\/11 = 0.\nAnswer: -1, 0, 7, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 33*n + 7. Let g be p(6). Suppose -4*l - g = -9*l. Suppose 0 = -3*w + l + 7. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-148)\/703*(-361)\/1710?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 7 + 7 = 0. Suppose -4*r = -g*r + 39. Solve -4*f - 3*t + 22 - 51 = 0, 2*f + t + r = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/2 + 5*k\/2 + 2.\nAnswer: (k + 1)*(k + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13103*b = -2163*b + 26845 + 410755 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 36 = h. Let c(a) = -a - 7. Let n be c(h). Suppose -3*o - 3 = 2*z - 4, n*o - 8 = 3*z. Which is greater: -6\/11 or z?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*o = 33*o - 15*o - 192 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.37488979 to one dp.\nAnswer: -11.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54130676 (base 8) to base 7.\nAnswer: 200266314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 2*w - 5, 3*w + 81 = -4*n + 68 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 4*c - 5*p, 98*c = 95*c - 5*p + 31 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 742*c - 12602 = 2980 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-19\/3)*w*w*w**(-2\/59)*w)\/(w\/(w\/((w*(((w*w\/w**(-21)*w)\/w)\/w)\/w)\/w))*w**(-5\/2)) assuming w is positive.\nAnswer: w**(-7741\/354)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 4*h**2 + 12*h + 3. Let f(v) = -v**3 - 5*v**2 + 11*v + 4. Determine 3*f(o) - 4*u(o).\nAnswer: o**3 + o**2 - 15*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*j**2 + 160*j**2 + 398*j**2.\nAnswer: 506*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a8 - 5b31?\nAnswer: -5dd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 6*g. Let n = -275 + 269. Calculate v(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 110, 210, 310, 410?\n\"Answer: 100*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1928066111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 + 58. Let i = l - 129.1. Suppose 5*n + 2 = -2*q, q = 4*n - 7*n - 1. What is the closest to q in i, 4, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/1*(-3)\/18\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/96)\/(2*(-2)\/24). Which is the second biggest value? (a) -4\/3 (b) 1 (c) f (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 4) to base 5\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 10:49 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j. Let k(x) be the first derivative of x**4\/4 - 2*x**3 - x**2\/2 + 6*x - 3. Let n be k(6). Let b(m) = n*m**2 + 0*m**2 + m**2. Calculate o(b(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-154)\/(-176)*-12*2\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**5 + 5*u**4\/12 - 40*u**3\/3 - 10*u**2 + 104*u + 84. Let s(y) be the first derivative of r(y). Find l such that s(l) = 0.\nAnswer: -2, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 h when two letters picked without replacement from {r: 6, h: 3, q: 8}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1080 and 1880.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -88 divided by -8\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88 - -91. Let l = n + -18. Let q = -14.999988 - l. What is q rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232187 is divided by 48?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 506\/(-115) + 2*2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16365.98 + 16366. Let l be (-3)\/(-8)*(-2)\/9. Sort q, -4, -2\/13, l in decreasing order.\nAnswer: q, l, -2\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.04, -145\/2, -3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 66473816 - 11420120?\nAnswer: 55053696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19297 (base 10) to base 12.\nAnswer: -b201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*a + 1554666 = -9602*a - 6665*a for a.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/280 and (-6)\/100*22375\/(-675)?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7507521 or 7507549?\nAnswer: 7507549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 102343356 bigger than 102343354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 5*u - 29 = a, 4*u = -2*a - 2. Let g(i) = -i**3 - 10*i**2 - 9*i + 1. Determine g(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4274 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 416 and 312?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1492 and 2.\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4436 + -4400. Calculate the greatest common divisor of 66 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 97 and 0.003.\nAnswer: 0.291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**4 + 55*h**3 + 95*h**2 + 65*h + 25. Let j(m) = 3*m**4 + 27*m**3 + 47*m**2 + 33*m + 12. Let f(n) = -5*j(n) + 2*k(n). Let f(g) = 0. Calculate g.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-18991.\nAnswer: -7596.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129339113.\nAnswer: 7019, 18427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.8 * 0.127.\nAnswer: -0.7366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brrdoeww. Give prob of sequence bow.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(1*sqrt(10)) - (5 + -3*sqrt(13)).\nAnswer: -5 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1081, 3293, 6985, 12157, 18809, 26941, 36553?\nAnswer: 47645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 75) + 20 - -50.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -416, -2, -21, 3 in descending order.\nAnswer: 3, -2, -21, -416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f**15)\/f*f*f)\/(f*f\/(f*f\/f**(3\/2))) assuming f is positive.\nAnswer: f**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.42 * -2\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10e (base 15) to base 5.\nAnswer: -1424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -g - n, g = n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -51477, -1.3, 4 in descending order.\nAnswer: 4, -1.3, -51477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33233079.\nAnswer: 3, 11, 17, 59239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 + 105 + (2 - -9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204813.\nAnswer: 3, 7, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169647517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/220*(-5)\/(-3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5203275 by 3.\nAnswer: -1734425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - t**2 - 14*t + 8. Calculate d(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*p**2 - 5 + 25*p**2 + 2 - 12*p**2 in the form m + r*p + b*p**2 and give b.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 7 - (0 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*q - 17*q - 115 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38773773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x - 28 = 15*x. Suppose 0 = 3*h + o - 8, -h + 5*o + 14 = x*h. Put -1, 5, -4, h in ascending order.\nAnswer: -4, -1, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 3*z - z)*(-3 + 2 + 5)*(-2*z - 1 + 1) to the form a*z**2 + s + x*z and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/16894163 and 13\/33?\nAnswer: 50682489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 1\/10*m**6 - 9\/25*m**5 + 7\/5*m**3 + 24\/5*m + 27\/5*m**2 - 21\/20*m**4 - 260. Factor f(s).\nAnswer: 3*(s - 4)*(s - 2)*(s + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r - 3. Suppose -x + 887 = 882. Suppose -2*g + 2*m = 6, g - 2 = x*g + m. Determine f(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*q**3 - 3 + 17*q**3 - 3 wrt q.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 6) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivttvlvlsvvsvzvtv. What is prob of sequence vit?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-5 - 1) - -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*z - 8*z + 2*z)*(5 + 0 - 3) - 2*z + 0*z + 0*z + (0 + 3 - 5)*(6*z - z - 2*z))*(1 + 1 - 1) + (12 - 12 - 10*z)*(4 - 1 - 1).\nAnswer: -46*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08253279 to 4 decimal places.\nAnswer: 0.0825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c**(9\/5)\/c)))\/c**(-2\/7)*c\/(c**(-1\/3)\/c)*c*c\/(c\/c**(-9)))**(-3\/8) assuming c is positive.\nAnswer: c**(481\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*t + 538 + 226, 0 = -t + 2*d + 384. Suppose -294 = -3*v - 3*c, 4*v + 5*c = 2*c + t. Suppose 0*a - v = -a. Does 21 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 49*l**2 - 121*l - 1218. Let t be x(-50). Calculate the highest common factor of 352 and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249540 divided by 49908.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-16)\/(-20)*1\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v - 1. Let j(w) be the first derivative of w**4\/4 + 7*w**3\/3 + 4*w**2 + 9*w - 9. Let p be j(-6). Let m be 1\/((p\/(-6))\/((-3)\/(-2))). Give g(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3336 and 105.\nAnswer: 116760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, j: 5}. Give prob of sequence yjjj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 273, 715, 1323, 2091?\nAnswer: 3013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5504 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 127 and 12573?\nAnswer: 12573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 29*y**2 + 844*y + 5529. Give d(-45).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*y = -5003 + 5189 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*l + 23 = -5*r - 65, 0 = -r + 2*l - 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 < -66068349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**3\/(x\/((x*x**(1\/2))\/x)*x)*(x\/(x\/(x\/(x\/(x\/(x*x**(-4)))))))\/(x\/(x\/(x\/(x**(-2\/9)\/x)))) assuming x is positive.\nAnswer: x**(59\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*z + 7*k - 310, -k - 620 = -4*z. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 210386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/8)\/((-1)\/(3 + 33)). What is the greatest common factor of 54 and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-102)\/(-459) - (-1 - (-114)\/27). Sort 5, 7, u.\nAnswer: u, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1417614*t**3 - 7679*t + 52 wrt t.\nAnswer: -8505684*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -198, -397, -606, -831, -1078?\n\"Answer: -x**3 + x**2 - 195*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.6 from -0.055.\nAnswer: -3.655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 94387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1905*x + 2112 = -2169*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -1 + 26. Let u = -2 + f. Let t = 2\/33 - -25\/132. Which is the nearest to t? (a) u (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 2:36 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/((-75)\/(-5))*(-1296)\/(-2448). Suppose -3*h = -h - 4. Suppose h*a - a = -3. Which is smaller: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(-77) + (-746)\/(-22) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 135 = -17*y. Let l(c) = 74*c + 1. Let b be l(1). Calculate the highest common factor of b and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdkk when four letters picked without replacement from kxlrkgxxglxxkrdlxx?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-37))**(7\/5))**31 assuming d is positive.\nAnswer: d**(8246\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*b + 45 = -20. Solve 0 = 2*y - 5*q - 7, -4*y - b = 4*q + 27 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121 + 50. Is -1 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -4\/9, 6, -4.99, 4, -3?\nAnswer: -4.99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d + 80. Let h be s(-5). Calculate the highest common divisor of h and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 2*f**2 + 7*f - 13. Let x be s(3). Let a = x - -4. Solve 6 = -a*c + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-39)\/91*(0 + 6\/(-9)). What is the closest to z in 1\/3, 15\/14, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/24)\/(2\/46) + 4. Let u(o) = o**2 + 3*o - 2. Let a be u(-4). Sort n, 0, a.\nAnswer: 0, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**5\/20 + 4*x**4\/3 + 11*x**3\/3 + 4*x**2 - x - 99. Determine u(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71794314.9us to weeks.\nAnswer: 0.00011870753125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**3 + 17*j**2 + 97*j + 113. Calculate a(-5).\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52877 or -52862?\nAnswer: -52877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jij when three letters picked without replacement from {j: 5, l: 6, i: 4}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 280084 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x - 23641*u + 23645*u = -16, -22 = x - 5*u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1527814136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-three fifths of a centimeter?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 202*i**4 - 14*i**2 + 0*i**2 + 37*i**3 - 204*i**4 wrt i?\nAnswer: -48*i + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000102000121 (base 3) in base 12?\nAnswer: 65335a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**6\/360 - g**4\/24 - 2*g**2. Let q(a) be the second derivative of u(a). Let m(n) = 5*n + n**2 - n - 4*n. What is m(q(h))?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -7. Suppose 4*x + 0*x = 0. Suppose 4*f + 8 = 2*y, -83*y + 87*y = 3*f + 26. Solve x = -f*g + 17 - q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 0 + 1\/2*b**3 + 3*b - 7\/2*b**2. Let q(x) = 5*x - 11. Calculate -5*q(c) + 8*v(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -17 + 1\/15*x**3 - 2\/5*x - 1\/10*x**2. Factor i(q).\nAnswer: (q - 2)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/27? (a) 3\/2 (b) 3\/8 (c) -18\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -811*h**2*s**3 - 2*h*s + 28*h - 4*s**3 wrt h?\nAnswer: -1622*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 805150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x. Let k be (2\/5)\/(3\/30). What is n(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2 + h - 4*h + 6*h. Let y(u) = u**2 - 7*u + 6. Let p be y(6). Let k be (1 - p\/2)*-2. Determine j(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 16*f + 11. Let i(l) = -8*l - 5. Let a(s) = 9*i(s) + 4*v(s). Let b be -4*-2*(-3)\/(-24). Calculate a(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 30?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20.52 and 37?\nAnswer: -759.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3478*k - 76520. Calculate r(-22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - g - 1. Let s be 3046*1 + (-8 - -2). Let f(n) = -s + 6085 - 3049 - 4*n - 5*n**2. Determine f(p) - 4*r(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/19188 and 28\/71955?\nAnswer: 287820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**2\/2 + 10*x + 717. Determine u(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (48\/(-120))\/((-2)\/1190) and 527.\nAnswer: 7378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 6*h**2 - 10*h - 8. Let l be x(-4). Suppose 2*s = -0*a + 2*a + 54, l = -2*s - a + 60. List the prime factors of s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -6*q + 208. Suppose 0*l = 4*l - q. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11825574 equal to 59127872\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5304952 and 0.9.\nAnswer: -5304951.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 36 = -2*f, 4*g = 4*f + 5*g - 94. Calculate the remainder when 44 is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d + 131. Calculate the remainder when m(-9) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1538 - -1600. Calculate the remainder when 141 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*p + 71*p = -34*p - 210 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m**3 - 110 + 18960*m - 9484*m - 9477*m.\nAnswer: -8*m**3 - m - 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2696 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1013, 2022, 3031?\nAnswer: 4040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -222020201 (base 3) in base 5?\nAnswer: -1103020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2877490.\nAnswer: 2, 5, 7, 11, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 6 - (2 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 21675352.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1862340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/74 or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus -574921416?\nAnswer: 574921420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2459119 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, 0.58, -0.3, -6\/5, 107, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 9:59 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 733.2131 grams?\nAnswer: 0.0007332131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1010 - 10123\/10. What is the common denominator of 37\/20 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1202992 or 122?\nAnswer: -1202992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.19 - -23. Let x = z - -3.19. Let y = 3.5 + -3. Which is the smallest value? (a) x (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427371169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1060)\/25)\/(((-12)\/(-10))\/(-3)). Suppose 0 = 2*q - 3*q + a. Suppose 2*z - q = z. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 + -80. Let h = -15 - i. Calculate the remainder when 8 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.046228663 and -20.\nAnswer: -19.953771337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -43, -1, -243 in descending order.\nAnswer: 3, -1, -43, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*m - 4*k, 256*m = 255*m - k + 10. Which is the fifth biggest value? (a) -5\/2 (b) -2\/13 (c) m (d) -2 (e) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1539) + -2 + sqrt(1539) + sqrt(1539))*-3 - (-2*sqrt(1539) + 5 + sqrt(1539)*2*5))**2*-1.\nAnswer: -444787 + 1224*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3 - 41 = 0. Let u = t + -8. Suppose -5*v = -4 - 1. Put -5, v, u in increasing order.\nAnswer: -5, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/3*(-107640)\/6900?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 - 402 - (46 - 6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*k + 64*k - 5*p = -79*k + 31, 37 = 2*k - 3*p for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z - 3*z - 2*z)*(-2 + 1 + 0) + (-5*z - 9 + 9)*(-4 + 3 + 6) to v + h*z and give h.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1037 - -3558. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 564321.\nAnswer: 29344692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -769074 times -23\nAnswer: 17688702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000023034 to seven decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59330 is divided by 770.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83252006 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (218\/24 - (10 - 0))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 7*t**4\/24 - 7*t**3\/2 + 2*t**2 + 289*t. What is u(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-10))\/((-7)\/(-70)). What is the first derivative of w**x + 3*w**4 + 1315*w**2 - w**4 - 1318*w**2 - 35 wrt w?\nAnswer: 12*w**3 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25706.052225 - 25706. What is s rounded to four decimal places?\nAnswer: 0.0522","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l + 16 = -116. Let w(u) = 3*u**2 + 37*u + 14. Let r be w(l). Solve r*y - 12 = 5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(308)\/(sqrt(77)\/(sqrt(11)*1)))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1096 = -22*l + 4. Let d = 55 - l. Put d, -4, -5, 14 in ascending order.\nAnswer: -5, -4, d, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2075*v**2 + 1400*v - 600. Let p(d) = 31*d**2 + 21*d - 9. Let m(g) = 3*b(g) - 200*p(g). Let o(r) = -117*r. What is o(m(k))?\nAnswer: -2925*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**3 + 3*a**2 - 3*a - 6. Suppose 0 = -3*w + 2 + 1. Let i(k) = k**2 - k + 1. Let h(m) = w*n(m) - 3*i(m). What is the first derivative of h(d) wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523333?\nAnswer: 523333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85737.\nAnswer: 3, 28579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 17339765 and 17339766 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by 45?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -8 + 5 - (10 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -1, 0.8, -5.65?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 156 - 427 - (2*2 + 0). What are the prime factors of ((l\/3)\/5)\/((-3)\/63)?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*s - 8 = 118*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/1044 and 40\/483?\nAnswer: 168084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.3 (b) -0.082 (c) 0.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -5*j - 3*q, j - 3*q = -5*q - 7. Let h = 0.027 + 0.073. Is j less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -3*t**4\/4 + t**3 - 18. Factor j(m).\nAnswer: -3*m**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -168791*v - 4388582. Calculate a(-26).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeii when four letters picked without replacement from eiiee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 39*q - 4842. Calculate j(124).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1 = 5*y - 1, 2*y + 8 = k. Let n be (0 - (-567)\/108)*(-1 + (-11)\/(-3)). Solve -3*a - 5 = -s, n - 34 = -k*a - 4*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3 + (-410)\/(-300). Let i = -13298\/15 - -886. Let l = i + p. Which is greater: l or 17\/2?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*(-45)\/(-84))\/((-2280)\/53200)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2130 + 8050 = -53*l + 86*l - 329*l for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**3 + 712*v**2 - 1430*v**2 - 6*v**3 - 6*v**3 + 719*v**2.\nAnswer: -6*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 1:12 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**4\/36 + 2*l**2\/3 + 4*l. Suppose o(y) = 0. What is y?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3439 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s**3 - 3*s**2 + 3*s. Let u(i) = -11*i**3 - 5*i**2 + 5*i. Let z = 86 - 91. Calculate z*d(p) + 3*u(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 0.0587?\nAnswer: -0.1174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20856 by -6.\nAnswer: 3476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*u - 4*u + 97 = 0, -2*w + 254 = -4*u. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 10240?\nAnswer: 10231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 10*w - 209. What is u(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n - 10. Let r be z(4). Let u(g) = -g**2 + g + 1. Let a be u(r). Let p(s) = s + 8. Let i be p(-6). Sort a, i, 1.\nAnswer: a, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.7 or -353\/5?\nAnswer: -353\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 768911*k. Let t(l) = -361*l. Determine a(t(r)).\nAnswer: -277576871*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 2106.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -574*f**6 - 229*f**5 - 1912*f**2 + 325 wrt f.\nAnswer: -68880*f**3 - 13740*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 36273155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 v when three letters picked without replacement from zvvtvztszszvtxvststs?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -49 in ascending order.\nAnswer: -49, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 71, 28, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4222 or 29550\/7?\nAnswer: 4222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29 and -87721.\nAnswer: 2543909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/3 - 5\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18.8 and -0.5.\nAnswer: -9.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzwww. What is prob of sequence zwz?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2)\/i*i)\/((i**(1\/15)\/i)\/i)*i\/(i\/(i\/(i*i**(-1\/8)\/i*i*i)))*(i**(-10)*i)\/i assuming i is positive.\nAnswer: i**(-1013\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**5\/10 - t**4\/24 - t**3 - 462*t**2. Let f(n) = 5*n**2 + 5. Calculate -4*d(g) - 5*f(g).\nAnswer: -g**2 + 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, b: 3}. What is prob of picking 3 d?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 57348161 to the power of 1\/2, to the nearest integer?\nAnswer: 7573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d - 240 + 8*d**2 + 6*d**2 + 227. What are the prime factors of g(-3)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54\/5*n + 20 + 2\/5*n**2 = 0. What is n?\nAnswer: -25, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 350 divided by -350\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhvhyyqhyvhhhqyhqyy. Give prob of picking 3 q and 1 v.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 124*-4*1\/(-16). Suppose 3*r = -f + 133. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25480.828 to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 19. Suppose r = 5*j, -h - 1 = -5*j - 3. What is the biggest value in -4, h, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4526?\nAnswer: 2, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*f - 1051 - 85 = -120 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1966565*o**3 + o**2 + 2*o + 1116614?\nAnswer: -11799390*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**0*b*b*(b*b\/(b**6*b)*b*b)\/b*b*b**(-2\/15)\/b*b\/(b\/(b\/(b\/b**(2\/3)))*b*b) assuming b is positive.\nAnswer: b**(-37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j + 0*j - j - 3*j - j + 2*j + (-j + 2*j + 0*j)*(-4 - 4 + 7) + 3*j + j - 2*j)*(-6*j**2 + 2*j**2 + 2*j**2) to c + f*j + i*j**3 + d*j**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*((x\/x**8)\/x)\/x*x*x)**(-8\/5) assuming x is positive.\nAnswer: x**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 266*f**2 + 32937*f + 365. Calculate g(-358).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -9. Suppose -11*r = 103 - 125. Let a(s) = s**2 + 8*s - 15. Let m be a(r). Solve m*d + 14 = i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -108*z + 490. Calculate y(5).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000111084741 to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**5\/6 + 13*n**4\/6 + 13*n**3\/3 - 56*n**2\/3 = 0.\nAnswer: -8, -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -29*b**3 + 9*b - 1. Suppose -m = 4*l + 8, -2*l - 4 = m - 3*m. Let x(d) = -7*d**3 + 2*d. Let w(s) = l*i(s) + 9*x(s). Differentiate w(v) wrt v.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyoyonooooinoornoo. Give prob of picking 1 y and 2 n.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a factor of 787632456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.06, 0, -2\/11, 68?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 7*n - 23. Give a(12).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72326 is divided by 479.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -99 + 29. Let k = -57 - h. Suppose -3 + k = -5*f. Which is bigger: f or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75 + 77. Suppose -195 = -a*o + 207. Suppose o = 2*s - 23. What is the greatest common divisor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72740.81149 rounded to the nearest 100?\nAnswer: 72700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhpg when four letters picked without replacement from hgzpghb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*m + 60 + 65 - 5 - 4 + 0 to the form d + l*m and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -108 and -1.449.\nAnswer: -109.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7*z**2 - 2*z - 2. Let x be d(2). Suppose 3*r = 2*u - 5, -4*u + 2*r = -0*r - x. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 60 = -2*l - 5*n, 2*l - 150 = -5*n. Let o be (2\/(-4))\/(-7 + 485\/l). Solve -o*z + 4 = -3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 31*d**6\/40 - 98*d**3\/3 - 3*d**2 - 23. Let k(v) be the first derivative of r(v). Let a(x) = -x**2. What is k(a(j))?\nAnswer: 279*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7687\/1248 + 3\/416. What is the common denominator of -83\/36 and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 2*q**2 - 5*q - 5. Let p be l(4). Does 15\/2 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23344*p - 40365 = -23929*p for p.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 455488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 4 + 4 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 15 - (-42 + 84 - 26)) + (1 - -5).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -8. Let t(j) = j**2 + 6*j + 7. Let k be t(-5). Let s(c) = 4*c - 3. Let q be s(k). Sort 0, d, q in ascending order.\nAnswer: d, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99 and 58443?\nAnswer: 175329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 21. Let j be w - ((-66)\/(-24) - 1\/(-4)). Let d(t) = t**3 - 4*t**2 + 2*t - 6. Determine d(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 14, d: 1}. What is prob of sequence dm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3.00000052. Round w to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.72 + 0.72. Let p = 46.5 + -47. Which is the third biggest value? (a) -9 (b) 0 (c) p (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5580 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.3, -0.05, 2\/119, -0.1 in decreasing order.\nAnswer: 2\/119, -0.05, -0.1, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8583 + 9110 + 9*i**2 - 17693.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9425 (base 11) to base 13\nAnswer: -58ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 11. Solve y + 4 = -u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/840 and -9\/21980.\nAnswer: 131880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1121 + 1131. Solve 2*d = -x*d - 48 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4014*l + 256*l + 167812 = 51314 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 6 + -7 + 9 + -16 + 10 + -6\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 308, 278, 222, 134, 8, -162?\n\"Answer: -x**3 - 7*x**2 - 2*x + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1056 - -1779.7. What is g rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53271893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -367*r + 368*r - 3. Let f(s) = -184 - 185 + 2*s + r*s**2 + 372 + 5*s**3. Give f(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 5.27, 0, -5\/3 in ascending order.\nAnswer: -5\/3, 0, 2\/9, 5.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-12))\/((-4)\/6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 5*o**2 + 4*o. Let a be d(-4). Suppose a*s = 2*s - 20. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1166 = 64*g - 75*g. List the prime factors of g.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3238 + 4419. Which is smaller: p or 1182?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/10)\/((-5)\/(-25)). Suppose -a*y + 25 = -39. Is y a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + (sqrt(539) + -2 + -3 + 1 + -4 + 1)**2.\nAnswer: -98*sqrt(11) + 586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -478 - -489. Suppose 0*k - 4*k + 4 = 0. Suppose k = -x + p. Solve -x = -3*w + 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 15*m**2 + 17*m - 14. Calculate b(14).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 4:35 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -20*x + 21*x, -6*j = 2*x. Solve 0 = -4*s - 2*n - 12, -s + 0*n - n - 4 = j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-four fifths of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-42))\/((-10)\/(-4))*5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 124*v**4 + 11*v**2 + 4*v - 11. Let w(f) = 25*f**4 + 2*f**2 + f - 2. Let y(j) = 2*i(j) - 11*w(j). Find the second derivative of y(t) wrt t.\nAnswer: -324*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -33. Suppose -y = -0*j - j. Is 17 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7*b. Let l(w) = 4*w**2 - 4*w**2 + 3*w**2. What is l(a(z))?\nAnswer: 147*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3028 + -36337\/12. Let q = -9 - -14. What is the second smallest value in 1, n, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 take away -6.0684?\nAnswer: -72.9316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 826994410?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -255 + 573. Let w = -316.824 + n. Round w to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*g = -8. Suppose 3*t = a + 214, g*a + 230 + 54 = 4*t. Calculate the greatest common factor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.98 + -0.02. Let k = p - -1.92. Let s = k + -0.92. Put -4, s, 1\/3 in ascending order.\nAnswer: -4, s, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -3, 1\/150.\nAnswer: -17, -3, 1\/150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3203 (base 9) in base 7?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-2 + (8 + -3 - (4 + -6))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 0 + 0*g**2 + 0*g**3 + 1\/4*g**4 + g. Let p(q) = 2*q. Give p(a(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.4 - 2.4. What is the closest to 0 in x, -2, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/16013 and 26\/3805597?\nAnswer: 254974999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 21*r - 27. Let t(d) = -8*d + 13. Determine -6*j(n) - 11*t(n).\nAnswer: -38*n + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -400 + 823. Let p = -423.00003 + w. What is p rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 6625?\nAnswer: 6623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627485 is divided by 625692?\nAnswer: 1793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7588 - 4302. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 219619202 - 4*s + 109809595 + 109809601.\nAnswer: -3*s - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(392) - sqrt(392)*-3 - sqrt(392))\/sqrt(7))\/(sqrt(288) - (sqrt(288) + (sqrt(288)*-3 - sqrt(288)))) - (-1 + -5*(4*sqrt(847) - sqrt(847))))**2 + 5.\nAnswer: 1321*sqrt(7)\/4 + 12215671\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-18) - -3)*(5 + 1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -603332?\nAnswer: -603333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.78875 millilitres to litres.\nAnswer: 0.09978875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15\/1094 - 20313\/74392. What is the common denominator of -27\/8 and k?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, 1\/5, 2, 8, -289, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*k - 488 - 1731 = 2731 - 972 for k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7*l + 14. Let t(a) be the second derivative of 7*a**3\/6 + 15*a**2\/2 + a. Let m(z) = 7*o(z) - 6*t(z). Let p(c) = -6*c - 7. Calculate 5*m(j) + 6*p(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*g + 1162 = 2*j, -4*j + 3*g = -929. Is 32 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 3*h - 2*u - 0*u, 2*h - u - 83 = 0. What are the prime factors of h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 2*g + 2 + 1. Let v be c(3). Let f(i) = -i**2 + i + 56. Let u be f(v). What is the greatest common factor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 61, 4, -5, 3, -3 in decreasing order.\nAnswer: 61, 4, 3, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390 and 11814699?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - n**3 - 1 + (-n**3 + n**3 - n**3)*(-3 - 82 - 20) - 10*n**3 - 3*n**3 - 5*n**3.\nAnswer: 86*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 - 1 + 0*f**2 - 1 + 4*f + 21*f**3 - 1. Is p(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3844560 divided by -7720\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vhvhvhhvhvhv?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -4, 17, 9, -2\/67, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f. Let y(p) = 25*p**2 - 12179*p. Determine q(y(r)).\nAnswer: -75*r**2 + 36537*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -8*a**2 + 128*a - 213. Calculate w(14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 35*z**2 - 6093*z + 4782. Determine f(62).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14422 (base 8) in base 12?\nAnswer: 386a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 4) in base 8?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v + 10*v - 21*v. Let z(f) = 3*f. Determine z(i(n)).\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*p - 70, 3*f = -5*p - 1 - 39. Let o(t) = t**2 + 11*t + 5. Let w be o(p). Suppose y - w*y = -16. Calculate the least common multiple of y and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 + -50. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 8*f**2 - 6*f + 3. Let v be r(-7). Let l = v + 12. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 4) + -86 + 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(187)*-2 - sqrt(187)) + sqrt(187) - sqrt(187))\/(sqrt(11)*-5*-6).\nAnswer: sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -773*x + 763*x = -1080. Let p be ((-10)\/30)\/((-1)\/x). Solve -p + 1 = 7*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 21 = 5*l + 7, 0 = -5*h - 2*l - 13. What is the tens digit of (h\/2)\/(54\/(-1908))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1612235?\nAnswer: 5, 89, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c + 60 = 32*c. Calculate the smallest common multiple of 1 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(2) + 5 + 0 + sqrt(76) + -4.\nAnswer: 1 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2028*r**3 + 455*r**2 + 2 wrt r.\nAnswer: -12168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15086 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4062*d + 4067*d + 55 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**5\/120 - 21*i**4\/4 + 20*i**3 - 49. Let f(h) be the third derivative of u(h). Differentiate f(g) wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 212 + 196 = 0. Let b = -91 + a. Suppose 3*m = y - 19, 3*y - m - 4*m = b. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -t. Suppose 5*a - 4*m - 121 = t, -6*a + 72 = -2*a + 3*m. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.63 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -218 in descending order.\nAnswer: 3, 1, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*v + 4378 - 6567 = 0 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-12)\/(-16) - (-2 + 3)). Let y = -1.7036 + 1.7826. Which is the third smallest value? (a) y (b) p (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**5 - 85*o**4\/4 - 220*o**3\/3 - 70*o**2 - 552. Factor y(w).\nAnswer: -5*w*(w + 1)*(w + 2)*(w + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 237050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*f - 2, f - 3*c - 3 = 5. Let v be (f - 3)*-11 + -2. Suppose 5*n = v*n - 124. Calculate the remainder when n is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1609 + 1609 - 344*a)*(-5 + 4 + 18)*(0*a + 0*a + 2*a**2).\nAnswer: -11696*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 764.00552 to the nearest integer.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76164305516329368.99999905 - -76164307079983580. Let w = t - 1563654249. Let o = w - -38. Round o to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/44)\/(13\/260)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 - 73.9. Suppose 3*m = 4*m - 1. Let u be 98\/(-176) + (-12)\/(-32). Which is the nearest to m? (a) t (b) -1\/2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 39 - 60 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-3\/10)*h*h*h\/(h**5*h)*h)**(11\/6)\/(h**8*h*h**(5\/6))**0 assuming h is positive.\nAnswer: h**(-77\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.95 + -0.05. Let v = 455\/4 - 115. Let i = 1 - 0. Which is the third smallest value? (a) s (b) i (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/((-2870)\/168)*(-15)\/(-2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 236\/177*(1 - 3\/(-6)). Solve -143 = -a*x - 141 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*b - 3*r - 19, b - 1 = -r. Suppose w - 8 = -4. Suppose 0 = -w*s + 2*p + 710, 0*p = b*s - 2*p - 532. What are the prime factors of s?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14 - 16)*(-13 + -1). Let x = p + -139\/5. What is the closest to 1\/4 in -1, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**2 + 2*j - 2. Let v(i) = -i**2 - 1. Let u(z) = -m(z) + 2*v(z). Suppose 0*c = c - 5. Let b(d) = d - 3. Let t be b(c). What is u(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 749 - 759 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 11*l**3 + l. Let m(b) = -199*b**3 + 2*b**2 + 5*b - 2. What is m(n) + 4*u(n)?\nAnswer: -155*n**3 + 2*n**2 + 9*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1038.9799936 - -1039. Let o = s + -0.02. Round o to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*q + 10 = 32*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n - 13*n - 190 = -526 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -1.9. Let d(i) = i**3 - 14*i**2 - 36*i + 15. Let h be d(16). Let m = -39 - h. Is t at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.01, -34, -0.9, 2\/7?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/5 (b) -4 (c) -2\/111 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3 + p**3 - 11*p + 7 + p**2 + 3 - 10*p**2. Let t be i(10). Determine x so that -1\/2*x**4 + 0*x**2 + 1\/2 + x - x**t = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000475408456 rounded to seven decimal places?\nAnswer: -0.0004754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73218936 divided by -1061144.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 1. Let w(f) = 5*f**2 - 5. Let j(p) = 2*v(p) - w(p). Let t(x) = -8*x**2 + 2. Calculate -2*j(l) + 3*t(l).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 1435?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 + 145*q - 292. Let p be t(2). Solve -x - 3 = -p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32902.22 - -32598. Let m = -308 - j. Let q = m - 0.22. Which is the closest to 2? (a) -1 (b) 1\/6 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 30352002?\nAnswer: 30352000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.52000501 + -7.52. Round t to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -2\/7 (c) 2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 5*c - 1. Let u be k(5). Let y = 9 + u. List the prime factors of -3 - 3*y*-1.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*b - 6*b - 1, -3*b - 5 = -4*d. Let l(k) = -d - k - 5*k + 4*k + k. Let a(j) = j + 2. Let o(s) = -3*a(s) - 2*l(s). Determine o(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 4*i**3\/3 - 15*i**2\/2 - 6. Find the second derivative of j(m) wrt m.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 greater than or equal to 142\/653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3791.082 and -1?\nAnswer: 3792.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - sqrt(252)*-1)\/sqrt(7))\/(2*sqrt(192)) + ((sqrt(96)*-3 + sqrt(24))\/(-1*sqrt(128)))**2 + 3.\nAnswer: sqrt(3)\/4 + 123\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.75 - 118.25. Let g = r + 120.083. What is g rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l + 141 = 95 - 59 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**4\/12 + p**3 - 4*p. Let o(y) = -y. Calculate n(q) + 6*o(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6230*n**3*v**2 + n**3*v + n**2*v - 742*n*v**2 + 52349*n + 36*v wrt v?\nAnswer: 12460*n**3 - 1484*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-6)*(-4)\/(-6)*(-83 - -80)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*b = -41*b + 6258 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.556802917 rounded to 3 decimal places?\nAnswer: 0.557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200) + 2 + (3*2*sqrt(2))**2.\nAnswer: 10*sqrt(2) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 6\/(-18)*12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -615065 at least as big as -615066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (29\/9)\/(-1) - -3. Let a = 0.08 + 0.02. What is the second smallest value in 0, -4\/3, a, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 107*y + 202. What is b(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 15774866.1 to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2bb7 - -1?\nAnswer: -2bb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119104 divided by 1.\nAnswer: -119104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87.63768 - 0.10232. Let z = 14.44 - n. Let j = 101 - z. What is j rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -76*z - 8810. Calculate x(-116).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3703?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**2 - 4*j. Let v be c(-3). Suppose 5*b = -v - 57. Let o be b\/28*16\/(-6). Solve 0 = -2*w + 3*u + 12, -u + 3 - 11 = -o*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1555 is divided by 396.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0989016l?\nAnswer: 98.9016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q**3 + 5*q**2 + 6*q. Let f(w) = -8*w**3 - 6*w**2 - 7*w. Let z(x) = -x**2 - 12*x - 14. Let u be z(-10). Let k(p) = u*f(p) + 7*d(p). Factor k(n).\nAnswer: n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3198*o + 4 - 6 - 2*o**2 + 0*o**2.\nAnswer: -2*o**2 - 3198*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1801*d = 1797*d - 28 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -315?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 141*b**3 + 544938*b**2 - 16094*b + 28643?\nAnswer: 846*b + 1089876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*p**3 - 114026*p**2 + 24674*p - 356 wrt p?\nAnswer: 144*p - 228052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8793 + 8785. What is the nearest to -2 in o, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 776836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 9:39 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 6460?\nAnswer: 32300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9914 + 1136678.\nAnswer: 1126764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21069*l - 723*l**2 + 21069*l)*(3*l**2 + 4*l - 4*l) + (-l**3 + l**3 + 4*l**3)*(1 - 1 + 2*l).\nAnswer: -2161*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 122211 to the power of 1\/2, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 4025053?\nAnswer: 4025054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*f - 5*c + 5, -3*c + 9 = -4*f. Let t = 7 + f. Factor -3*n**2 + n**2 - 4*n**4 - 11*n**3 - 12*n**t - 7*n**5.\nAnswer: -n**2*(n + 1)**2*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -35?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 1 + 1 = -2*i, i + 2*t = -4. Suppose 6 + 35*p**i - 5*p - 30*p**2 + 40*p + 44 = 0. What is p?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 4. Suppose c*b = -b. Let d(k) = k**2 - 1. Calculate d(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*m + 9. What is the smallest value in 1\/7, 4, m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 7597956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8528 is divided by 355.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*v - 545 + 123, 4 = 2*n. What is the remainder when v is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 0*i - 7\/6*i**3 + 0 - i**2 + 7\/24*i**4. Find the first derivative of c(o) wrt o.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1905087 divided by -3?\nAnswer: -635029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 31*f + 494 - 180, 31 = -3*f + 14*z - 15*z for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8541019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*n**5 - n**2 - 2*n - 55 wrt n?\nAnswer: -980*n**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 5:24 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 3:52 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 2*x + 11 = 0, -25*x = 4*h - 18*x + 58 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kumkuukuuukkkkmkku. Give prob of sequence mku.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 42 + (-24)\/(-8). Calculate the greatest common divisor of u and 6751.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 11*k - 25*k + 10*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 266632940 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**5\/6 + 107*k**4\/3 + 11869*k**3\/6 + 7490*k**2 + 7350*k = 0.\nAnswer: -105, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + k - 356599, -2*k = -6 - 2. Let r = h + 190865. Round r to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -5*b**4\/24 - 91*b**3\/6 - 102*b**2. Let k be y(-19). Solve 0*m + 8 = k*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 126, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 3:02 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 413554?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 3*z + z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4*n - 3*n - 6, 3*n = -5*d + 17. Suppose -1 + 5 = n*t. Calculate the highest common divisor of t and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -99 not equal to -101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1062688*r + 1835036 wrt r.\nAnswer: -1062688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3 + sqrt(176))**2 + -3 + sqrt(176))*2.\nAnswer: -1456 + 160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkkvavvfqkabkkq. Give prob of picking 3 k and 1 q.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19217 plus 0.1?\nAnswer: 19217.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, -3, 5, 1.3, 3557\/5 in decreasing order.\nAnswer: 3557\/5, 5, 1.3, -3, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 5 + 5)*(k**4 + 2 - 2) + (8 - k**4 - 8)*(14*k + 104*k - 3*k).\nAnswer: -111*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 198268.7 to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1138 is divided by ((-2)\/(-7))\/((-2774)\/1022) + 2415\/19.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -13*1\/6*(-7 + 5)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -4*h**3 - 172*h**2 - 888*h = 0.\nAnswer: -37, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/4*(-2 - -10). Suppose 5*x - p = 15. Suppose -3*j = 2*j - x. Solve 5*r - 32 = -j*y - 1, 15 = 5*y + r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d - 99 - 12 - 8*d - 2*d.\nAnswer: -6*d - 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 9. Let m be q\/4 - 5\/(-20). Factor -4*y**4 + 0*y**4 - 2*y**2 + 3*y**m - 3*y**3.\nAnswer: -y**2*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 7:18 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 1534, -32, 5 in decreasing order.\nAnswer: 1534, 5, 0, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 10101100001111001?\nAnswer: -10101100001110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -386 + 2167. Differentiate 1781*m - w*m + 14 - 46*m**4 wrt m.\nAnswer: -184*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5d6 (base 14) to base 12.\nAnswer: -814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3675 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10709010 and 791.\nAnswer: 74963070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**3 + 9*r**2 - r. Let a = 15 + -10. Let s be (-1)\/(2\/((-40)\/a)). Let g be k(s). Solve 0 = -n - 2*n - g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 14*l**2 + 12*l + 6. Let v be r(-15). What is the third smallest value in v, -2\/15, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/9 - 5980*q**2\/9 - 58450*q - 1305000.\nAnswer: -2*(q + 45)**2*(q + 2900)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 - 4*p**2 - 18*p + 34. What is u(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6159444, 12318887, 18478330, 24637773?\n\"Answer: 6159443*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**2 - 4*p + 6. Let g(k) = k - 6. What is -2*g(o) + 4*h(o)?\nAnswer: -2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*w - 89*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/4)\/(2\/(-4)). Let g be p\/(42\/190)*-420. Round g to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 3:29 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 3*k = 30, 103*k - 40 = 98*k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*f - 23 = 295*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p + 5. Let w(o) = -o + 7. Let s be w(p). Suppose -3*m = 3*h + 312, s*h + 2*m + 183 = 5*m. Round h to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -329674, -330429, -331184?\nAnswer: -331939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2)*(1 + -1) + -84. Let z = u + 90. Let m = z - 2. Solve 4*c + 11 = -5*d, -2*d - m*c - 12 - 2 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 210 = -0*s. Let k = s - -84. Suppose -2*x - 2*c = -14, -4*c = -4*x - c + k. Calculate the highest common factor of x and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 126*n - 3771. Calculate the remainder when 577 is divided by x(72).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.5 + 1.5. What is the nearest to 1 in l, 4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1784?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-5) + (-89)\/(-5). Sort 3, o, 0.03 in increasing order.\nAnswer: 0.03, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -24 (b) 0 (c) -5 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 + 20*f + 32. Let u be a(-2). Solve 0 = -u*w + w + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54446 is divided by 6049?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 1. Let z be (-38)\/5 + 6\/10. What is v(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 0*w + 0*w**4 + 28 - 5*w**5 - 11\/3*w**3 + 0*w**2. What is the third derivative of p(a) wrt a?\nAnswer: -600*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1471491107 by 2.\nAnswer: -1471491107\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**4 + 144*u**3 + 652*u**2 + 1008*u + 496 = 0. What is u?\nAnswer: -31, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*n = -16, 0*n + n - 8 = -2*w. Suppose -6 = -10*p + w. What is the first derivative of -2 - 6*z**4 - 15*z**2 + 15*z**2 - p wrt z?\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0828 and -63121.94.\nAnswer: -63122.0228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 3, q: 8}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/4))**(-2\/25))**(-2\/31) assuming z is positive.\nAnswer: z**(-1\/775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1042*b**4 + 2*b**2 + 860*b?\nAnswer: -12504*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/24 and -103\/60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 26*y - 1. Let m be y\/2*(-5)\/(-20). Solve a + 0*a - 2*c = 5, m = 5*a + 3*c + 27 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10260 = -329*i + 719 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*o - 30*o**4 + 3845*o**3 - 3845*o**3 wrt o?\nAnswer: -360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 565 (base 15) to base 13.\nAnswer: 72b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3340 - 2642?\nAnswer: -6312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2525 = 55*c - 154*c - 411 + 1054 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from orororoaaroaarnoa?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 188 + 80. Let m = u + 97. What is the lowest common multiple of m and 21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1249 - 1249.1. Which is the nearest to -1\/71? (a) 0.5 (b) -1 (c) r (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -5\/2 (c) -7.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3290 + 3303. Calculate the greatest common divisor of 871 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 8*z - 5. Let h be g(-7). Suppose 6*d - d = 5*k - 45, 0 = -k + h*d + 12. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -7.4. Let o = p + 0.8. Let b(c) = -c**3 + 11*c**2 - 15*c - 3. Let y be b(2). What is the closest to o in y, 4\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187952772 is divided by 7507?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 4*b + 2*b)*(3 - 2 + 0)*(4*b - 4*b - 2*b**2) - 6*b**3 - 6*b**3 + 9*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12434 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.934 + -2718.1.\nAnswer: -2706.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 111625 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: Is 127899832 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3934 a factor of 1415040130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18077 * 0.3\nAnswer: 5423.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 12:36 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499 is divided by 226.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.73739*-10\nAnswer: -7.3739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/23981384 and 97\/367062.\nAnswer: 71944152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1977, -1974, -1971, -1968, -1965?\nAnswer: -1962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -307207, -614510, -921813, -1229116, -1536419?\nAnswer: -1843722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*h + 5*h - 40*h)*(7*h - 8*h - 3*h).\nAnswer: 236*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24891\/8 - 3101. Find the common denominator of -20\/9 and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.297605 millilitres to litres.\nAnswer: 0.009297605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -82\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 0.56959281.\nAnswer: 0.06959281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2563457705 to the power of 1\/3, to the nearest integer?\nAnswer: 1369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59566357?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 19*c**2 - 20*c + 1. Let d be n(-5). Suppose 390 = 6*g - d. Calculate the remainder when g is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**7*a**(1\/7)\/a)\/((a\/(a**(-1\/2)\/a))\/a**4)*((a**(-2\/17)*a*a)\/a)\/a**(-8)*(a**1\/a)**(-2\/27) assuming a is positive.\nAnswer: a**(839\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 24, 101, 214, 357, 524, 709?\n\"Answer: -c**3 + 24*c**2 + 12*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*x = -171, -4*x + x = 3*o - 501. Let r be (-15)\/(-2)*32\/o. Determine s so that -16\/7*s + r*s**2 - 2\/7*s**3 + 8\/7 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3*d - b - 6, -5*d - 5*b = 0. Solve 0 = -5*y - d - 18 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -28. Let y be (-4)\/(-6) - (-4)\/(-6). Let l = j + y. Let c(p) = -2*p**2 - 2*p - 4. Let z(m) = -4*m**2 - 5*m - 9. Calculate l*c(v) + 2*z(v).\nAnswer: 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44711.\nAnswer: 44711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 153031108897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 2*t - 14 + 14. Let y(i) = -i + 1. Determine 3*l(x) - y(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**3 + o**3 - 6*o**3.\nAnswer: -11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116398.\nAnswer: 2, 58199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2411 - -4243340?\nAnswer: 4301301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2 (b) -0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22 and -0.1?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 3. Let s be a(-3). What is the remainder when 50 is divided by s + (42\/3 - -3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*c + 519 = -1605 for c.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.6 + -3. Let m be (-5)\/(-13)*(-8)\/20. Let z = 21\/52 + m. What is the third smallest value in z, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m + 3*m**3 + 35*m**3 - 110*m**3 + 11 - 12 as c*m**2 + x*m**3 + u + p*m and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -243001 - -35243?\nAnswer: -203314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 0.1 (c) 3\/4 (d) -0.4 (e) -12.849\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -17*t**3 + 5*t**2 + 11*t + 10. What is the hundreds digit of v(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -11b?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + l + 1. Let y(r) = -4*r**2 + 3*r + 2. Let s be (2*(-3)\/6 + 2)*(-11 + 10). What is s*y(q) + 3*k(q)?\nAnswer: q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h + 2. Let q(k) = -8*k - 5. Let m(x) = -4*q(x) - 11*v(x). Let d be m(-5). Let r be 44\/(-132) - (2\/(-6) + 0). Solve -d*f + 2*f - 5 = r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 114?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + -3. Let w = 73.3 - 68. Let s = m + w. Round s to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.055, 1\/40, -4, -173 in decreasing order.\nAnswer: 1\/40, -0.055, -4, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 265825 + -179828. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3102201201 (base 4) to base 3.\nAnswer: 1121210212020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 33*x - 50. Calculate b(-26).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.5, 0, 1\/7, -15, 0.11, -7 in decreasing order.\nAnswer: 1\/7, 0.11, 0, -1.5, -7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - w**2 - 2*w + 1. Let i(u) = 200*u**3 - 7*u**2 - 14*u + 7. Determine 5*i(a) - 35*r(a).\nAnswer: 965*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -7*h**3\/6 - 4*h**2 + 45*h. Let u be b(-4). Solve 2*m = -3*m + u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + ((sqrt(7488) + -1*sqrt(7488)*-6 + sqrt(7488) + sqrt(7488))**2 + sqrt(7488) - -5*(2 + sqrt(7488))).\nAnswer: 144*sqrt(13) + 606532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 23*i - 173 = 0, -4*n + 628*i = 630*i + 30 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 5202.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -5. Let p = -12 + 17. Let m(v) = 3*v + 1. Let y be m(p). Solve -w*l = l + y, -2*x + 3*l + 16 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 35.12. Let n = 2 - l. Let k = n - -3.12. What is the third smallest value in k, 0, -1\/6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 645887822 to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3410*x = 3408*x + 5*g - 14, 3*g + 6 = 0 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 202524195 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 317, 3306, 11453, 27338, 53541, 92642, 147221, 219858?\nAnswer: 313133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 1, g: 1, b: 1, q: 1}. Give prob of sequence fg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2928988, 2929443, 2929898, 2930353, 2930808, 2931263?\n\"Answer: 455*s + 2928533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-9)*b*(b*b\/(b\/(b\/(b\/b**(-2)))*b)*b*b)\/b)\/(b**(1\/3))**8 assuming b is positive.\nAnswer: b**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 166622 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 11*q + 7*q + 24, 42 = -4*l + 7*q. Solve -5*m - 415 + 400 = l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 + 17*i**3 + 13*i**3 + 0*i**2 + 0*i**2 + 26*i - 22*i to s*i**3 + o*i**2 + t*i + d and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 3. Suppose u = 4*p - 2*p - 10. Suppose -p*g - 13 = 2*t, 27 = 2*t - 3*g - 0*g. Solve -t = -2*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 - 4.05. Let c = t + 4. Let z = -638\/35 - -94\/5. What is the second biggest value in c, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -88 - -84. Let i = 27 - f. Let r = -26 + i. Which is bigger: r or -4\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 4*l - 5. Let v be b(-5). Suppose -5*a + 29 = -6. Let q = a - 3. Solve j - 2*d + 6 = v, 0*d = -q*j + d - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -199*a**3 + 3*a**2 + 34*a - 69. Calculate j(2).\nAnswer: -1581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjgjggjjgggggggggjg. Give prob of sequence ggj.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -481 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 greater than -2\/26809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 52349070383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -3, -10 in descending order.\nAnswer: 2, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, r: 1, s: 5, q: 1}. Give prob of sequence sss.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 337050 divided by -24075.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.5652 litres in millilitres?\nAnswer: 19565.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -38, -55, -72?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 0.06 (c) 24 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.8992 to one dp.\nAnswer: -8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1082306740 divided by -4?\nAnswer: 270576685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 13*z = 0. Let l(g) be the second derivative of z + g + 1\/3*g**3 + g**2 + 1\/12*g**4. What is l(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -106 (c) -4 (d) 36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 23*n**2 - 26*n + 36. What are the prime factors of u(-10)?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 1:58 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16270090 divided by -1.\nAnswer: 16270090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 2*w - 2*v + 16, 0 = 4*v + 8. Suppose -h + w = -0. Let n = h + -4. Let g(r) = -3*r**3 + r**2 - r + 1. Determine g(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5661284016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8178 and 870.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -900, 158, -2, 1, -1 in increasing order.\nAnswer: -900, -2, -1, 1, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-22) + (-5225)\/1210. Which is the second biggest value? (a) n (b) -0.2 (c) -2 (d) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 7. Let n be (0\/4)\/(-1 - l). Let u = -28195 + 28208. Solve 2*v + 5 - u = n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -282 divided by 47.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/1505 in 2\/21, -2, -1, -7, 0.3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 15*(1102\/10 + 32\/(-80))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, 0.3, 2, 41\/2, -30\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - g - 9 - 5 = 0, 1 = -v - 2*g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + 105112?\nAnswer: 105102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 - 16655*g**3 - 16657*g**3 + 0*g**2 + 33309*g**3 + 4*g**2.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -487.42 + 3815. What is b rounded to the nearest 100?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqiiw. Give prob of picking 1 i and 1 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 723 or 734?\nAnswer: 734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 205?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*y - 52*y = 2338 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 236*h**2 + 117*h**3 - 783*h + 778*h + 951*h**3 wrt h.\nAnswer: 6408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(66\/(-936)) + 2. Suppose 3*f - i + 137 = 0. Calculate the highest common factor of f and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -250069 - -520968. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5332098 * 0.3.\nAnswer: 1599629.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5025772*k**2 + 5*k + 368465 wrt k.\nAnswer: -10051544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2111, -2119, -2137, -2171, -2227, -2311?\n\"Answer: -y**3 + y**2 - 4*y - 2107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 11740 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a gram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/3*46\/4 and 222\/198 - (-1)\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000011000000 (base 2) to base 3.\nAnswer: -12212211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2168\/(-6)*(-9)\/30. Let x(y) = 28*y**2 + 28*y - 59. Let c be x(2). Let b = c - t. What is the second biggest value in 5, -5, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*w + 12*w - 520 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (208\/(-3))\/((-12)\/18). Let b = -51 + g. What is the remainder when b is divided by 42?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19164745 a multiple of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2 = 3*u. What is the tens digit of 6\/u + 1 + 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 10*f - 28 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -343 - 10413?\nAnswer: -11200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 4. Let v(b) = 2*b**2 - 5*b - 8. Let z be v(5). Suppose -t*l = -z - 11. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 2. Let u be o(2). Let x = 10 - 10. Suppose x = 4*g + 8 - 4. Which is the nearest to -0.1? (a) -0.3 (b) u (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2 + (-2 - -11) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 163258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o - s = -14*o + 1, -17*s = -4*o + 93. Let h(y) = 3*y**3. Let u(d) = -8*d**3 + d. Give o*u(p) + 7*h(p).\nAnswer: 5*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 540, 539, 538?\nAnswer: 537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8933045636?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/6*((-6)\/117*-3)\/(-4).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -5, 6, -3 in descending order.\nAnswer: 21, 6, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, l: 1, t: 5, f: 1, h: 2}. What is prob of sequence lhah?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -3. Let s = l - -8. Let y(a) = -7*a**3 + 1 + s*a**3 - 2*a - 1. Let k(g) = 9*g**3 + 5*g. Give -2*k(b) - 5*y(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 36*i**2 - 93*i + 47. Let v(l) = 2*l**2 + 2*l - 1. Let c(x) = r(x) + 3*v(x). Factor c(m).\nAnswer: (m - 1)**2*(m + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*a**4*i - 758*a**4 + 234*a*i + 38983657*i wrt a?\nAnswer: -28*a**3*i - 3032*a**3 + 234*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1217.27126 to 1 dp.\nAnswer: 1217.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1485792)\/(-1340))\/(-308)*(-125)\/9.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 - 307 = -31*n - 44 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**4 + 2*u**4 - u**4)*(-116 + 281 + 586)*(-3*u - u + 2*u).\nAnswer: -3004*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 8, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -15. Which is smaller: k or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 16, x: 2}.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86.1 - 84.1. What is the closest to -0.1 in 1\/4, -48, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 12:16 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*b + 8 = -25, -p - b = -6. Let j = 6 - p. Is 2\/j*1422\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*r + 183 = 0, -256 = -2*l - r + 125. Suppose 5*s = 253 + l. Is 31 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1184560 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**5*z)\/z**6*(z\/((z*z**5)\/z))\/z**(5\/2))\/((z**0)**(-2\/39)*(z**3*z)\/z*z**0) assuming z is positive.\nAnswer: z**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/14*(-28798)\/561.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhk when three letters picked without replacement from hhlkhtk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11211 (base 4) in base 6?\nAnswer: -1353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 6*q + 22 = 11*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 5*h + 2*h - 11*h + 4*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a + a - 4 - 2*a. Let q be h(5). What is the third derivative of 2*k**4 - 4*k**2 + 3*k**2 + q*k**2 - 2*k**2 wrt k?\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/(75\/60*2\/(-25))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**2 + 31*o - 4. Let f be q(-8). Let v be 1\/f*-1 + 196\/(-1008). Which is the second smallest value? (a) -5 (b) v (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002002111010 + 122112?\nAnswer: 1002010010122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - u**2 + 0)*(-10*u + u + u) + u + u**3 - u.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + (-3535)\/21)\/(4\/(-6)). Let f = v - 193. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 329 + -318. Suppose 126*j + b = 127*j. What is the remainder when 49 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/20 + -6)*(-192)\/36?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -287016 <= -286966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*y + 45*y - 20*y + 37*y**2 in the form i + a*y + j*y**2 and give j.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**5\/20 - f**4\/2 + 7*f**3\/6 + f**2\/2 - 2*f. Let i be k(-7). What is the third biggest value in i, -3\/8, 0.1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-212)\/(-1166))\/(4\/(-8))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16439*z**4 - 8609.\nAnswer: 65756*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((12\/15)\/1)\/(2\/135). Calculate the highest common factor of k and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 0*c + 0 - 1\/6*c**3 + 4*c**2 - 2\/3*c**4. Give d(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 6481*h**5\/20 + h**4\/3 + 2*h**3\/3 - 3*h**2. Let c be b(6). Round c to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2414, -20 in increasing order.\nAnswer: -20, 1, 2414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 983879801 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = t - 36, -t + 27 = 3*r + t. Calculate the remainder when 25 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17)\/1*(-2 - -3). Let j = g - -22. Suppose 6*m = j*m. Sort -3, -4, m in descending order.\nAnswer: m, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 * -9660\nAnswer: 589260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -78, 5, 438, 1401, 3074, 5637, 9270?\n\"Answer: 30*m**3 - 5*m**2 - 112*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 7*u - 10. Let h be s(-5). Let q(l) be the first derivative of 1\/3*l**3 - 2 + l**2 + h*l. What is k in q(k) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u = -37*u - 18. Does 11 divide (-16)\/6 + 2 - 370\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*p - 0*p, 2*p - 481 = f. Let x = f + 48439\/102. Find the common denominator of x and -7\/8.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*r - 20. Let o = 8 + -8. Suppose o = b - r. Solve -b*j - 8 = -0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1298 and 5.\nAnswer: 6490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*(-3)\/6)\/((-15)\/(-3)). Let n = 0.2 - -0.67. Let x = n + -0.67. Put y, 4, 1, x in increasing order.\nAnswer: y, x, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102.23135629 + -2.23128929. Let u = 100 - k. Round u to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 182, -18, 24, 3 in increasing order.\nAnswer: -18, -3, -2, 3, 24, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z = -2*k + 1, 6 = -3*k - 4*z. Let m(w) = 4*w + 0*w**k + 6*w**2 - 4*w. What is the units digit of m(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116408?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/5 + 518*l\/5 + 67081\/5.\nAnswer: (l + 259)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26638926394 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/140 and 137\/42?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 853987562?\nAnswer: 2, 23, 18564947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17698467, -35396931, -53095395, -70793859, -88492323, -106190787?\n\"Answer: -17698464*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(147)*4)**2.\nAnswer: 9408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -14 + 0*g**4 + 1\/2*g**3 - 1\/180*g**5 + 3*g**2 + 0*g. Suppose z(o) = 0. What is o?\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 1, -1, -4, 10.\nAnswer: -4, -3, -1, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l. Let m(c) = -7*c - 1. Let w(b) = -m(b) + 6*z(b). Let q be w(1). Suppose 4*s - 2*d - 9 - 53 = 0, -q*s = 2*d - 16. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**6\/3 - 13*w**5\/10 - 2*w**4\/3 + 4*w**3\/3 + 11*w. Factor l(j).\nAnswer: -2*j*(j + 1)*(j + 2)*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 15\/31, 2, -34753 in increasing order.\nAnswer: -34753, 2\/13, 15\/31, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91 + 105. Solve -n*x = -10*x + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*w - 16 = 0, -5 - 7 = 4*z - 4*w. Suppose -5*f = -3*f - 2*d - 494, 3*f - z*d = 739. What is the remainder when f is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1537520783 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 21. Suppose 2*l - 2*t = 2*t + 24, -5*l + 2*t = -28. What is the nearest to -1 in q, -4, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 9. What is the remainder when 22 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z - 11. Let j be 4\/(-20) - 49\/5. Let r be b(j). Let s(k) = -17*k - 1. Is s(r) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 12*u + 63. Let r be t(6). Suppose -r - 200 = -3*q - f, 229 = 2*q - 5*f. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/6)\/(27\/(-8) - -3). Let f be d\/20*0 + 3. Factor -1\/5*z**4 + 0 - 1\/5*z - 3\/5*z**f - 3\/5*z**2.\nAnswer: -z*(z + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) 5 (b) -3\/4 (c) 0.0722\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1287)\/(-8) + 3*4\/96. Suppose -3*d + 2*m = -o, 4*d = -5*m + m + 208. Calculate the remainder when d is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - sqrt(96)\/sqrt(8))*-3)\/(sqrt(24)\/(4*sqrt(6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3)\/l**(-4\/3))\/((l*l**(-2))\/l)**17)**(-2\/11) assuming l is positive.\nAnswer: l**(-214\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (3 - (-77)\/(-21))*15. Which is the fourth smallest value? (a) 17 (b) k (c) 4 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 75701040.\nAnswer: -151402080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2)*a**(-1\/3))**(-1\/5) assuming a is positive.\nAnswer: a**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, j: 11, a: 1}. Give prob of picking 1 d and 1 a.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16696?\nAnswer: 2, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/4, 534, -0.04, 5, 36?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 533 divide 329927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12341558?\nAnswer: 2, 17, 362987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + 2965 + 8375 = 0. Let u = b + 1854. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 51433 = -3*b - 97875, 1244420 = -25*b + 5*f. What is b rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13464*0.1.\nAnswer: -1346.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 276157, 552313, 828469?\n\"Answer: 276156*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240951.\nAnswer: 3, 80317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77019 divided by -3367.\nAnswer: -77019\/3367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 3*v**2 + v + 16. Let r be k(5). Suppose -r*x = -36*x + 660. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c26 (base 14) to base 8.\nAnswer: -17302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -670454*r**3 + 120*r**2 + 96*r + 2?\nAnswer: -4022724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 + 2*o**2 + 61786*o**3 - 61809*o**3.\nAnswer: -23*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -4 + 7*s**2 + 1\/6*s**4 - 5\/6*s**3 + 0*s. Give j(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11377*a - 98070 - 330046 - 83849 for a.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*r + 44. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y. Let z(t) = 1022*t**2 + 2*t. Determine z(f(m)).\nAnswer: 9198*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 84623 or 84645?\nAnswer: 84645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -42*b**2 + 38972*b + 3712 = 0?\nAnswer: -2\/21, 928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 11 - 10. Let k be ((y - 9) + 0)*2\/2. What is the closest to 0 in -9, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54825 and 270.\nAnswer: 986850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1370 + -1372. Let i(f) = -4*f**2 - f. Determine i(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 900601, 900780, 900959, 901138?\nAnswer: 901317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 32662 (base 7) in base 6?\nAnswer: 102031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-119987)\/(-35) + 3\/(-15)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, a: 1, q: 1, t: 2, n: 1, w: 1}. Give prob of picking 1 t and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 4 + 12 + -3 - (-22 - -1)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 10:43 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xoxo when four letters picked without replacement from xxoxxxxoxxxx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 6*r**2 - 4*r + 20. What is a(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27242700 rounded to the nearest 100000?\nAnswer: 27200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s = 2*s + 69 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/19 + 11\/76. Let q = -11 - -11.03. Let z = q + -0.33. Which is the smallest value? (a) x (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j + 35. Let z(g) = -195*g**2. Give f(z(w)).\nAnswer: 585*w**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h + 154. Let z be s(30). Suppose -t - 3*t = -i + 4, 3*i + z*t = -4. Let d be 20\/6 - 2\/6. Solve -d*y + y + 8 = i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.01 - 0.01. Let d = -286\/5 - -57. Which is the closest to d? (a) 2 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2508 - 771. Let o = -650 + r. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -389.586 (b) 8 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -42*(-50)\/16 - (-7)\/(-28). Suppose 0 = -3*y + 2198 - u. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*d - 10 = 0, l - 18 = 3*d - 23. Let q(b) = -b**3 + b**2 + 3. Let v be q(0). Are v and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*r = -2, 1184 = 5*c + 3*r. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14643020?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1122?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/11 - 56*c**2\/11 - 58*c\/11.\nAnswer: 2*c*(c - 29)*(c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*w = -4. Find the third derivative of g**2 + g**2 + 0*g**4 + g**w + 0*g**2 wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 10*g + 16. Let w(a) be the second derivative of -5*a**3\/6 - 4*a**2 - 3*a. Let v(j) = 4*l(j) + 7*w(j). Differentiate v(b) with respect to b.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 652 and 8684803?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 4, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 + 20?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -4, -1\/6, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2\/11 + 2406*f\/11 + 183844\/11 = 0.\nAnswer: -1121, -82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74554 - 10181 = 5353*j + 489*j + 8737 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 48 - -46 - (-18 - 2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -99127 and 0.2.\nAnswer: -19825.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l - 2. Suppose 4*u + 5 + 7 = 0. Let i be t(u). Does 3 divide (i\/5)\/((-6)\/(-45))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1595451 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/w**(-3)))*w)\/(w*w**12) assuming w is positive.\nAnswer: w**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1652\/11 + -150. Sort -0.1, l, -1, -0.18 in increasing order.\nAnswer: -1, -0.18, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -679278 + 29886059\/44. Let f = 546\/11 + m. Suppose f*o**2 - 1\/4*o - 1\/4 + 1\/4*o**3 = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3013531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.1 (b) 2\/1121 (c) 1\/51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)*(((c**6\/c)\/c)\/c)\/c)\/(((c*c**4)\/c)\/c*c**(2\/21)) assuming c is positive.\nAnswer: c**(-44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 130676772 and 33690.\nAnswer: 653383860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 358*(-221)\/(-5278)*7 + ((-480)\/(-232) - 2)\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 281496.8 litres in millilitres?\nAnswer: 281496800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 59225 + 3cb?\nAnswer: 59623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1963*d**2 + 1085*d**2 - 3067*d**2.\nAnswer: -19*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y**4 + 34*y**3 - 744274*y**2 - 339310160*y.\nAnswer: -12*y**2 + 204*y - 1488548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 286 + -172. Let r = 563\/5 - b. Let q = 92\/55 + r. Is q bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190565 to the power of 1\/2, to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-73)\/((-18396)\/72))\/(2\/70).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 20. Suppose 5*v - h = -n - 6, 2*v = 0. Calculate the greatest common divisor of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -130616313, -261232622, -391848931?\n\"Answer: -130616309*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s - 5. Let p(x) = -4*x - 11. What is 5*f(o) - 2*p(o)?\nAnswer: -2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*z)*(-5 + 4 + 0) + 9*z + 15*z + 30*z.\nAnswer: 52*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 + 10*x - 3. Suppose -30*y - 20*y = -63*y + 104. Give a(y).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3\/2*-14*(-60)\/315 and 81?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.012 - 2.988. Which is the nearest to 13? (a) d (b) 0.7 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(6 + 12) + 10\/(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3798348401 and 0.5?\nAnswer: 3798348401.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 213\/3 - 12 - (1 + 2).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q**5\/5 + 202*q**4\/5 - 52*q**3\/5 - 808*q**2\/5 - 144*q\/5 = 0. Calculate q.\nAnswer: -9, -2, -2\/11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 61, -0.4, 3, -3, -1\/33 in ascending order.\nAnswer: -3, -3\/2, -0.4, -1\/33, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 626, 2310, 5118, 9050, 14106, 20286?\n\"Answer: 562*v**2 - 2*v + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 4*w**2 - w - 4. Let l be z(3). Suppose -l*y - 2 = -14. Is 4 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(1\/4)\/i))**(14\/13)*(i*i**(-2))**(-1\/5) assuming i is positive.\nAnswer: i**(271\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11540 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -90730, -90734, -90736, -90736, -90734?\n\"Answer: r**2 - 7*r - 90724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((x**(-4\/5)\/x)\/x)\/x)\/x)\/x)\/x)\/x*x**(-3)*(x\/(x*x*x*x**(-3\/8)))\/x*(x**(2\/27)*x)\/x assuming x is positive.\nAnswer: x**(-14419\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 122\/109 at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23033413 - -22?\nAnswer: -23033341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z - 27. Calculate w(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 - 9*q - 3. Let f be b(-6). Let r = -21 - f. Let t be (-8)\/(6\/(-15) - r). What is the greatest common divisor of 100 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442 (base 13) to base 3.\nAnswer: -1000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 15, -61 in descending order.\nAnswer: 15, 4, -3, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0636 + -0.0216. What is the smallest value in -3, q, 2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from {c: 1, j: 1, d: 3, r: 6, u: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10771082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -875 - -879. Solve -h - 8 = v*y, 4*y + 2*h - 6*h = -8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, l: 1, z: 6, h: 1, d: 1}. What is prob of picking 1 l and 2 z?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 n when four letters picked without replacement from nrrrrrrrrrnrrr.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 12383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -0.1, 1406, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.017495 - -340.972505. Let w = f + -345. Round w to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35\/281? (a) -5 (b) -1\/6 (c) 193\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -x - 7*z - 82, 2*z + 272 = -4*x. What is the remainder when 1*30*(x\/(-12) + 1) is divided by 52?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -3*q - b, -5*q - 2*b + 324 = -3*b. What is the highest common divisor of 26 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(70) - (sqrt(70) + (sqrt(70) - (sqrt(70) + 1*sqrt(70)*1))))\/(3*3*sqrt(10)))**2*-2.\nAnswer: -14\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1915 or -145300?\nAnswer: -145300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 2*d = 58, -34*r - 3*d + 61 = -32*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**8\/25200 - s**7\/600 + 11*s**6\/1800 - s**5\/4 + 9*s**2. Let w(t) be the third derivative of d(t). Factor w(b).\nAnswer: -2*(b + 11)*(2*b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrmtwwtwtxtr. What is prob of picking 1 r, 1 m, 1 t, and 1 w?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {t: 8, j: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94626840 and 7623.\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*j = 143*j - 74*j + h + 9, -4*h - 8 = -3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/10 in 2, 1, 231, -6, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/2)\/((-1)\/30). What is the units digit of 20\/t*3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -5*m + 326, -674 = -4*m - 4*s - 226 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*j*k**2*p - 11*j*k**2 + j*k*p + 10*j*k - 4*j*p + 173*k**2*p - 12*k**2 - 292*k*p - 2*k + 8*p wrt k?\nAnswer: -58*j*p - 22*j + 346*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.738465062 - -0.73853. Round h to six decimal places.\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 34 (b) 116 (c) -0.95 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o - 56*o - 2 + 2 to l + j*o and give j.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2. Let z(g) = -5 + g**2 - 2*g + 2 + 5. Let d be z(0). Let m(o) = -2 + 25*o**d - 47*o**2 + 2. Give m(c(f)).\nAnswer: -22*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -z + 1. Suppose d + 5*v = 3*d + 15, d + v = 3. Let m be 5 + d - -1 - z. Is -6 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 35*y**3 - 5*y**2 + 5*y + 45. Let a(q) = -18*q**3 + 2*q**2 - 2*q - 22. Let f(d) = 5*a(d) + 2*u(d). Differentiate f(o) with respect to o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 81684 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 1.5. Let j = 2.83 + -2.83. What is the second smallest value in x, j, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 516 = 82*a - 9*a. Solve 0 = 17*t + a*t + 161 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*((m\/(m**(-6)\/m))\/m)\/m)\/(m**2\/m)*(m**0)**14 assuming m is positive.\nAnswer: m**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 50252 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445817 is divided by 68.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 6*z - 8. Let u(h) = -h + 1. Let j(i) = 2*i - 2. Let m(k) = 3*j(k) + 5*u(k). Calculate -6*m(p) + y(p).\nAnswer: 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2058080?\nAnswer: 2, 5, 19, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -46c1b - 28c?\nAnswer: -471aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b9078 - -2?\nAnswer: -b9076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 300 + -226. Suppose 25*k - 26 - f = 0. Solve 4*c = k*c - 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 20?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 293 divided by -9304.\nAnswer: -293\/9304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 21, 0, 6\/7, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -4*j + 18, 8*r = -5*j + 4*r + 21. Suppose -j*f = -2143 + 168. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -1)\/((-216)\/(-2808)). Solve -4*a - s + 12 = 3*j, 5*a = -3*j + 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69126*p**3 - 156447*p?\nAnswer: -414756*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/77 and -76\/12285?\nAnswer: 135135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*(y\/((y*y**(2\/3))\/y*y))\/y)*(y*y**(-1))\/y*((y*y**(2\/25))\/y)\/y**4)**(2\/63))**(-4\/11) assuming y is positive.\nAnswer: y**(1952\/51975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27862065 by -165.\nAnswer: 168861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 8) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4 = -2*x. Calculate the common denominator of -115\/12 and 36\/88*(-11 - x).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -742*l**3 + 0*l - 482*l**2 - l - 16 + 9 - 146 + 481*l**2 wrt l.\nAnswer: -4452*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -3*c - 18, -47*c + 4 = m - 48*c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15922\/7 + -2282. Suppose -y - 2*f + 18 = 0, -4*f + 2*f = -5*y + 66. Find the common denominator of 2*y\/40*1 and n.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kptk. What is prob of picking 1 k and 1 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 12*k - 1. Let x be n(1). Suppose -3*f + 47 = x. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2120375659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97393.41 tonnes to grams.\nAnswer: 97393410000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1305 + -137024\/105. Let n(m) be the third derivative of -s*m**7 + 1\/30*m**5 + 0 + 0*m**3 + 0*m - 1\/60*m**6 + 1\/12*m**4 + 2*m**2. What is j in n(j) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16037 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.4391 to one decimal place.\nAnswer: -12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*b - 491 + 134 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwpwmppwwwpwpmw. What is prob of sequence pm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 47370 - 420474 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 0.4, -4, 5.\nAnswer: -4, -0.01, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)\/n*(n**(-1\/6)*n)\/n)\/(n**(3\/2)\/n**(3\/7)) assuming n is positive.\nAnswer: n**(-41\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*h = -54027, 4*p - 458*h - 43232 = -459*h. What is the thousands digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 668689, 1337376, 2006063, 2674750, 3343437?\nAnswer: 4012124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.7 - -93.7. Let q = v - 64. Let z = q - 23. Which is the nearest to z? (a) 1\/3 (b) 0.2 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 14*t - 5. Determine a(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -242 + 123 - 126 - 2*h + (5 - 5 - 2*h)*(-2 + 0 + 1) - 3*h - h + 5*h - 6*h - 3*h + 3*h to z + r*h and give z.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 18\/66 - 217\/231\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 612 and 8189172.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/1832 and 97\/2290.\nAnswer: 9160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 364534524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 3686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*c**2 + 7*c**2 + 3*c**2.\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11155\/(-10) - (-2)\/4. Let d = k + 1895. Let f = -3035\/4 + d. Find the common denominator of -47\/6 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -216547 (base 8) to base 9\nAnswer: -121201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/42 (b) -5\/9 (c) -864\/245\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-16 - -21) - (1 - 6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -882949 - -67.53915.\nAnswer: -882881.46085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -6 + 7 - (-38 + 70) - 17.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 480, 1966, 4434, 7878, 12292, 17670, 24006?\n\"Answer: -f**3 + 497*f**2 + 2*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*o + 5*y - 3 = 0, -3*y + 15 = 5*o. Suppose 0 = -o*n + 26 - 2. Differentiate 22 + n*c**2 + 15*c**2 + 1 with respect to c.\nAnswer: 46*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 465 and 21066732?\nAnswer: 105333660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - u = 33465, -y + 2*u + 7864 = -8861. What are the prime factors of y?\nAnswer: 5, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y - 4*y - 2*y**5 + (-50*y**5 + 3*y**5 - 73*y**5)*(-2 + 2 + 1 - 2 + 2 + 2 + (2 + 2 - 3)*(-1 + 1 + 1)) + 2*y**5 + 2*y**5 - 2*y**5.\nAnswer: -480*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q - 3*q)*(-5*q - 3*q + 7*q + 1).\nAnswer: 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -20. Let a be (-7554)\/r - (-4)\/(-14)*-1. Suppose 0*z + a = 4*z. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565159 is divided by 80736.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -17, 1 in increasing order.\nAnswer: -17, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l - 4. Let q(x) = x + 1. Let d be q(1). Let c be f(d). Suppose c = -2*g + 18 - 14. Calculate the remainder when 6 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 942 + 638 = 2*b, 4*b = -2*s + 3180. List the prime factors of b.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.96 - 11. Let m = 0.082 + 0.318. What is the closest to i in -3, 1\/5, m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 + -25 + (18 - (-11 - (-9 + -2))).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, x: 13}. Give prob of picking 2 x.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -225398, -450519, -675640?\n\"Answer: -225121*b - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - 33*l - 28. Let w be h(18). Solve 4 = -w*a + 24*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -28, -43, -58, -73, -88?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3099867 litres to millilitres.\nAnswer: 309.9867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1375 - 665*g + 1375 + (1 - 1 + 2)*(3 - 3 - 5*g)*(6 + 2 - 4).\nAnswer: -705*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 37 = -4*v, 7*y - 19 = 2*v + 6*y. Let z = -2 - -7. Sort -1, z, v in ascending order.\nAnswer: v, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1445738*q**4 - 28011*q - 71 wrt q?\nAnswer: -17348856*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 630580.9ug in grams?\nAnswer: 0.6305809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 9*u - 14. Let b be t(6). Factor -4*r**3 + b*r**3 - 3*r + 3*r**3.\nAnswer: 3*r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/3))**(1\/3))**(-3) assuming l is positive.\nAnswer: l**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 224 + 5?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 139 + -115. Calculate the smallest common multiple of 33 and w.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -13?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210077166 is divided by 5432?\nAnswer: 5430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -1\/12*f**4 + 0*f**2 + 4*f + 1\/8*f**5 + 1 + 0*f**3. Let p(n) be the first derivative of t(n). Factor p(z).\nAnswer: z**2*(5*z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*n - 176 - 6. Let p be n + 0 - -2*6\/12. Solve s - 4 = z, -p = 4*z - 3*s + 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-6)\/((-12)\/(-10)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25.1*0.22.\nAnswer: 5.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*k + 6. Let j(f) = f - 11. Let p be j(7). Let t be p\/10 - (-15)\/25. Which is greater: k or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 7:57 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*s**2*x + 450018*s*x**3 + 80*x**3 + x**2 - 6550*x wrt s?\nAnswer: 24*s*x + 450018*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 + -71. Let a(c) = 33*c**2 - c + 1. Let g be a(q). Let n be (-3 - g\/(-5)) + (-32)\/1. What is the second biggest value in -3\/5, n, -0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y**2 - 145*y - 32. Let b be k(-36). Let m(i) be the second derivative of i**5\/20 - i**4\/12 - 2*i**3\/3 - 5*i**2\/2 - i. Calculate m(b).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e37 (base 16) to base 4.\nAnswer: 2320313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 10*g + 6*g - 754 = 0, -3*x = -3*g - 759. Let t = x - 777. What is t rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3833.093 to the nearest 100.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.1 + -4.45. Let a = p - 0.45. What is the nearest to 2 in a, -6, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -4 - 5 - 0) + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 = -5*p - z - 124 + 276, z = 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.031 - 59.031. Let o = x - -106. Let v = 51 - o. What is the fourth smallest value in v, 1\/2, -0.2, -7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45015 - 3545?\nAnswer: -53004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 127756608 to the nearest ten thousand.\nAnswer: 127760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 994?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84864015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-five halves of a microgram in nanograms?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 26. Suppose -5*z = -c*z + 6. Let s = 5 + -2. Solve 4*t + 32 = -s*r, -2*r + z*t = -6*r - 31 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 415*v**3 + 7*v**2 - 6*v - 6. Let n(s) = -415*s**3 - 6*s**2 + 5*s + 5. Give -5*f(t) - 6*n(t).\nAnswer: 415*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30246505 < 30246513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*((-4)\/1)\/(-12). Let g be -9 + 11 - (q - 1). What is the first derivative of -4*i + 14 - g - 10*i + 0*i wrt i?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40025 divided by 5\nAnswer: 8005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/2, -5, 0.1, -2, -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*s - 4*b, 5*b + 7 - 1 = -2*s. Let v be (-2)\/(-12) - (-126)\/(-108). Which is bigger: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1529 and 934358.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1925, -1842, -1759, -1676, -1593?\nAnswer: -1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1740 - -359. Let y = 41449\/30 + p. Find the common denominator of y and 37\/55.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7859511534512 - 1.3?\nAnswer: 7859511534510.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 713 or 17802\/25?\nAnswer: 17802\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -16*i**3 + 4*i**2 - i - 9. Let l(h) = -3*h**3 + h**2 - 2. Let a(q) = 11*l(q) - 2*n(q). What is the remainder when 6 is divided by a(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 53.3 from 9.501.\nAnswer: -43.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -620699, -620700, -620701, -620702, -620703, -620704?\n\"Answer: -x - 620698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 z when four letters picked without replacement from zzzzttzttt.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m\/m**(-9\/5))*(m**10*m)\/m*m*m**(1\/8)\/m**(2\/11) assuming m is positive.\nAnswer: m**(3583\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**7\/210 + 7*m**6\/90 - m**5\/3 - m**3 - 14*m. Let b(d) be the second derivative of a(d). Solve b(o) = 0 for o.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134679 is divided by 185.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 - 356. Let u = -198 - x. Is u a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j - 2. Let g = -1270 - -1285. Let n(b) = 7*b + 5. Calculate g*z(v) + 6*n(v).\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (-2)\/(-3)*765\/10. Let a be o\/14 - (-3)\/(-21). Let h be (-3)\/(-12)*2*a. Put 0.05, 1\/2, h, -2\/3 in decreasing order.\nAnswer: 1\/2, 0.05, -2\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534686219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 12*f + 17. Let g be x(13). Solve 28 = -4*k - g*l, -4*k - 4 = 3*l + 20 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(77)\/sqrt(176) - (sqrt(7) - (sqrt(175) + sqrt(7) + 5))))**2*3.\nAnswer: 9261\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -350, -5, -13 in descending order.\nAnswer: -2, -5, -13, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 137*s**4*u**2 - 5*s**4*u + 74*s**4 - 2*s**2 - 464*s*u + 2*u**2 + 2*u wrt s?\nAnswer: 3288*s*u**2 - 120*s*u + 1776*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 0, 44, 4, -637 in descending order.\nAnswer: 44, 4, 0, -32, -637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 248, 529, 842, 1205, 1636, 2153, 2774?\nAnswer: 3517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20021 (base 3) in base 12?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + (sqrt(176) - (-6*(sqrt(176)*-3 - sqrt(176))**2 + sqrt(176))).\nAnswer: 4*sqrt(11) + 16896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 8*j**2 - 7*j - 9. Let w be x(-4). Does 29 divide -1 + 21\/27 + (-5725)\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -815*j**2 + 3913*j + 100*j - 2*j**3 - 530*j + 2289*j wrt j.\nAnswer: -12*j - 1630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 1128, 0.3 in decreasing order.\nAnswer: 1128, 13, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iim when three letters picked without replacement from {y: 7, s: 1, i: 9, m: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 641*s + 7 = 644*s, -5*c + 14 = 2*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -102147*s + 111684*s - 505461 for s.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1, 5, -4 in descending order.\nAnswer: 9, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 5*u - 3. Let o be b(-4). Let q be 3986*4\/(-6384) + 3 - 558\/1116. Is q smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 - ((-100)\/35)\/((-4)\/(-14)). Solve 4 = -i + 3*s, f*s = -0*s + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 + 2)*(542*c - 276*c - 271*c + 6) + (1 + 0 - 2)*(7*c - 22*c + 13*c) to the form m + k*c and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7048 - -17036. Suppose -434*q + 438*q - m = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/7 and 679 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 1 + (-774)\/(-3). Suppose 4*v = 2*u - 6*u + h, -v + 61 = 3*u. Let z = -52 + v. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10111 (base 2) to base 14\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47150501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 596921 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 190\/(-24) + 1 + (-230 - -237).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1240, 1814, 2388, 2962?\nAnswer: 3536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2758*v**3 + 12670*v wrt v?\nAnswer: 16548*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26337186 and 522.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 352 and 97680.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 4*g - 9. Let x(h) = h**3 + 7*h**2 - 9*h - 1. Let u be x(-8). Let p be r(u). Solve 3*q - p = 6*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3100 - -122322?\nAnswer: 113222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(6\/23))\/(u*u**(-2\/21)*u)*u**(35\/3)*u*u**(-15) assuming u is positive.\nAnswer: u**(-1207\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 478000 rounded to the nearest ten thousand?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2. Let n(v) be the third derivative of -v**4\/12 - 26*v**2. Calculate y(n(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 + 87. Let i = 2595 - 2490. Calculate the remainder when i is divided by v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -9849?\nAnswer: -6\/3283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 648992, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/16 and 73\/42.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1389*h**6 - 293*h**3 - 1173728*h**2 wrt h?\nAnswer: -166680*h**3 - 1758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 13*w**2 + 16*w + 9. Let c be z(13). Let i = -140 + c. Let l = i + -50. What is the remainder when 51 is divided by l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*-4*1*(1 + sqrt(700)))**2.\nAnswer: 3600*sqrt(7) + 101025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -16. Let w be f\/12 - 37\/(-3). Calculate the highest common divisor of w and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 3:36 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*h**3 + 4*h**2 + 48*h + 36.\nAnswer: -4*(h - 3)*(h + 1)*(2*h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 738352179 to the nearest integer?\nAnswer: 27173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*y = 17, 4*y = -5*w + 8*w - 13. Calculate the remainder when (-2)\/w - (1 - (-33)\/(-3)) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 4. Let l(a) = 3*a + 9. Let f(j) = j**3 + 9*j**2 - 56*j - 57. Let x be f(-13). Give x*w(m) - 2*l(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h + 1980 = -10*h. Is h < 98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -7\/2, 5, -2, -1, 3, 47376?\nAnswer: 47376","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-2) - 3825\/30. Let v = 274 + x. List the prime factors of v.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of s - s**2 - 3*s**2 - s + 2 wrt s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2067 + 7*m - 2*m + 4*m + 4562 - 5*m as f + j*m and give f.\nAnswer: 2495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**4\/5 + 14*d**3\/5 + 108*d**2\/5 + 232*d\/5 + 32 = 0?\nAnswer: -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 714 = 2*y - 3*d - 1803, 0 = y - 3*d - 1257. Does 21 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 + 4*a**2 + 3*a + 9. Let n be i(-9). Is (-6)\/2 - n\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/3)\/(2\/(-6)). Let w be -3 + ((-82)\/(-4) - -3). Let s = -20 + w. Which is greater: s or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587.0544 litres in millilitres?\nAnswer: 587054.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = 47*i - 48*i. Let y = -165 - i. What is the nearest to y in -4, 0.2, 9\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41? (a) 0.2 (b) 15 (c) 0.304\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + (-4 - (-13)\/(-65)))\/(6\/(-45)*51).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**4\/4 - 5454263*r**3\/4 + 16362795*r**2\/4 - 16362797*r\/4 + 2727133\/2 = 0?\nAnswer: -5454266, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j - 3 + 2*j + 3.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3164579\/1042468 + 2\/37231. Find the common denominator of -77\/16 and t.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 188 + -194. Is -13 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/8 + -13\/24. Let m = 2\/133 - 40\/133. What is the third smallest value in m, -4, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**5 - 306760*b**4 + 2*b**3 - 305102*b?\nAnswer: 20*b**3 - 3681120*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s - 2. Let x be v(1). Let y be -1*(2 - x)*1. Find the second derivative of -6*d**3 + 0*d**y + 4*d - 6*d + 4*d wrt d.\nAnswer: -36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 15 + 2*s - 7*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**2 + 16*o - 6. Let t(y) = -3*y**2 - 11*y + 4. Let f(w) = -7*t(w) - 5*u(w). Let b be f(2). Solve b*d + 5*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 7*u + 2. Let v = -6 - -15. Let d be g(v). What is the greatest common factor of 50 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 - -321?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f + 1 - 1. Let b(n) = -21*n + 1. Suppose 4*v = -5*d + 35, -4*d + 7 = -2*d + 3*v. Let t be (-2)\/9 + (-16)\/9. Calculate d*p(k) + t*b(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/35 - -128\/105. Let j be 2*((-2)\/2 + 3). Which is the third smallest value? (a) o (b) 2\/9 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -198*y**2 - 11*y - 2. Let t be h(8). Let i = t - 517238. What is i rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 490442395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 4, 0.06, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1008, 992, 972, 948, 920, 888?\nAnswer: 852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13681 at most as big as 13682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 452395 - 682395. What is y rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 3*w**2 - 2*w - 4. Let q(s) = -11*s**3 + s**2 - s - 1. Calculate the lowest common multiple of x(-4) and q(-1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5964 and 448152?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275 + 275 - 78*g + 186*g - 110*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 0*w + 1\/2*w**2 - 3. Let x(g) = 0 + g**2 + 0. Give i(x(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {j: 7, l: 5, g: 3, f: 1}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38188 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (23123 - 7)\/((-16)\/(-28)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1838\/9 + 204. Let l = 13 + -22. Let v = l - -6. What is the second smallest value in -4, p, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o + o - 5*o + o + 14. Let m be w(8). Let r(k) = -k**2 + 8*k - 2. Is r(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 times 112?\nAnswer: -4480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1496*i + 1505*i - 18 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((15\/((-195)\/(-91)))\/(51\/(-2)))\/(104\/156)\nAnswer: -7\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10450304 (base 7) in base 6?\nAnswer: 31204115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 7) + 12 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-190)\/3 + (-3 - 0). Let o = j + 67. What is the third biggest value in o, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1940 + 1970 - (-21 - -1)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*l = 37*l - 4697. What are the prime factors of l?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/7830 and -17\/48285.\nAnswer: 289710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1213675 is divided by 177?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 934342949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*g - 240. Let x be 1\/(-5) + g\/(-70). Let l = 2\/7 - x. What is the second smallest value in 0.1, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3504 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 i(r) = 31*r + 196. Determine i(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, f: 1, r: 7, k: 4, i: 4}. Give prob of picking 1 a, 2 i, and 1 f.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 4 + 16. Let k(a) = -3*a - 9. Let s be k(r). Solve g = -s*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - w + 890, -25*c - 860 = -30*c + 5*w. What is the third biggest value in -4\/3, -1, c?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5736261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10217212979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000261797 to 6 dps.\nAnswer: 0.000262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/(-6))\/(2\/8*-1). Let l = r + 25. What is the greatest common divisor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**1))**2\/((k\/(k\/(k*k*k**(-3)*k)))\/(k\/k**(3\/8)))*((k**1)**(14\/9))**(-24) assuming k is positive.\nAnswer: k**(-833\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*-5894.666.\nAnswer: -70735.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-3)\/1) + (10 - 12). Solve d + 3 + v = -2*b, -b = 3*d - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - h = -7, -9*y + 5*h = -13*y + 17. Let m(a) be the third derivative of -a**4\/24 + a**3\/3 + a**2. Determine m(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 88 + -63. Suppose 2*y + 3*y = -o + 5, -5*o = c. Solve 1 + 5\/3*r**y + 7\/3*r + 1\/3*r**3 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10353192 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -12 (c) -2715 (d) -0.4 (e) -20.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, s: 1}. What is prob of picking 1 s and 1 j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s + 3 - 3 + (0*s - 2*s + 4*s)*(0 - 3 + 1) + (-25 - 10 - 18)*(s - 5 + 5) + s - s - s as c*s + d and give c.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ux when two letters picked without replacement from {x: 2, u: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14119283?\nAnswer: 14119283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.2 and -74.155447.\nAnswer: -76.355447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -100, -101?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 538234 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 223256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 12, d: 3}. What is prob of sequence dm?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 - 13 - -277 - -5 is divided by 112.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 194 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: What is -4060 divided by 4?\nAnswer: -1015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 44*-356.6094\nAnswer: -15690.8136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13746066?\nAnswer: 2, 3, 1153, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jggs. Give prob of picking 1 j and 1 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hiu when three letters picked without replacement from {q: 1, t: 1, u: 1, h: 1, i: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 3. Suppose p - 2 = -2*x, -q*p = -4*p + 2*x - 2. Suppose -3*h + 5*s + 47 = p, -s = 2 + 2. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c - 4\/3*c**3 + 1 + 1\/4*c**4 + 1\/2*c**2. Determine z(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -118327*i + 6034726. Give y(51).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30464 divided by 1?\nAnswer: -30464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -134 + 2\/3*h**3 + 0*h**2 + 96*h. Let p(n) = n. Give t(p(y)).\nAnswer: 2*y**2 + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g + 37 = 3*q, g - 17*g + 20*g = -2*q + 138 for q.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.362 + 0.068. Let o = 0.03 - n. Which is the third smallest value? (a) 0 (b) o (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5755659, -5755652, -5755645, -5755638, -5755631, -5755624?\nAnswer: -5755617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 2)*(0 - 2 + 0)*(2 + 0 - 4)*(39*p + 43*p + 15*p) as z*p + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/229 + -695\/916. Suppose -4*i + 2*f = i - 5, 0 = 4*f - 20. Suppose 0*h + h = -3*m - 9, 0 = -i*h - 9. Is y less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 195 and 2107.53.\nAnswer: 410968.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 88321.74 micrometers in kilometers?\nAnswer: 0.00008832174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*s + 9*s - 3 + 10*s to a*s + q and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*t + 744, -t = -12*h + 10*h + 759. What is the smallest common multiple of h and 90?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 152 - 2278\/15. Let v = 535 + -11233\/21. Let o = -4376 - -4377. What is the closest to o in t, v, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459600823 a multiple of 209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**3 - h**2\/2 + 5*h. Let a be v(-1). Solve -15 - 5 = -a*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2 + 7*n + 980 = 0. What is n?\nAnswer: -28, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -122442*n**6 - 31799*n**2 - 1 wrt n?\nAnswer: -14693040*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004872091 rounded to four dps?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 53, 55, 59, 65?\n\"Answer: k**2 - k + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 8:52 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392*c = 403*c - 132. Solve -7*d = -9 - c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 6 + 6 - v + v + v + (v + 0 + 0)*(-2 + 6 - 5) + 2*v - 3*v - v - 3*v + 0*v + 2*v - 12 + 12 + 2*v)*(3*v - 27 + 27).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*v + 135 + 268, -2*h - 830 = -4*v. Let r be 4\/10 + (-16440)\/(-25) - -4. Let w = r + h. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 14*b**3 - 2*b**2 - b. Let h = -6363 - -6362. Determine l(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*g + 3*y, 141*y = 143*y - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/4)*j\/(j**(2\/7)*j)*j*(j**2*j)**27)**(-7\/10))**(-1\/20) assuming j is positive.\nAnswer: j**(459\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 6. Let t be (-14)\/3 - (-2200)\/600. What is s(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 674 = k, -3*k + 5*i + 1725 = -305. Let a = 2069 - k. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213842 (base 11) to base 10.\nAnswer: 341750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 3*v**5\/20 + 23*v**4\/4 - 54*v**3 + 127*v - 1. Factor m(t).\nAnswer: 3*t*(t - 4)*(t + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -18. Let d(p) be the third derivative of -p**2 + q + 0*p**3 + 0*p + 1\/30*p**5 + 1\/24*p**4. What is the second derivative of d(f) wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -11. Suppose 4*l - 20 = 0, 4*l + 3 = s*z + 7. Suppose 5*n - z*j = -0*j - 41496, j = -5*n - 41501. What is n rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**2 + 462363*d = 0?\nAnswer: 0, 154121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 1. Let m be (-1)\/((-4)\/(-2) + -1). Let t = h + m. Which is the second smallest value? (a) t (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-3\/7))\/(j*j\/(j*j**8\/j)))\/(j**4\/j)**48 assuming j is positive.\nAnswer: j**(-962\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, t: 1, e: 2, a: 2}. Give prob of sequence lt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14 + -10 - (-1 + 3). Suppose 4 = 3*w - m. Let z = 8 - 3. Solve -3*t + z*g + 15 = 2*g, 5*t + 4*g = -w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 3. Let l = -2 + 6. Calculate the remainder when (l\/(-6))\/(2\/(-6)) is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 31*f + 772. Is i(-23) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12210 (base 7) to base 3\nAnswer: -11101020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = b - 1 - 1, h = 5*b - 24. Let k(u) = -u**3 + 6*u**2 - 3*u - 6. Let s be k(b). List the prime factors of 15*(2\/(-6) + s).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/((-3080)\/(-11484)))\/9?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -682*d**4 + d**2 - 63592*d - 334161413 with respect to d.\nAnswer: -2728*d**3 + 2*d - 63592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 142\/(-9) + 26\/(-117). Which is the closest to 0.1? (a) y (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oss when three letters picked without replacement from oststtsssotsso?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nuwduddundznndun. Give prob of sequence dduz.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-2 - -4)) + 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*w - 18 = 0, -6*w = u - 7*w - 15. Suppose 4*t - t - 2*a = 4, -4*t = -a - u. Solve -q = -t*x + 14, x + 2*q + 0*q - 8 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/5 + -2)*-287. Suppose 0 = 4*r - 2*u + 67 - z, -118 = -2*r - 3*u. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158695, -158735, -158775, -158815, -158855, -158895?\nAnswer: -158935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107049148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -921171739*v**4 - 1080287855*v wrt v.\nAnswer: -11054060868*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 2401?\nAnswer: 2403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.455661 and 53?\nAnswer: -77.150033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 8*w**2 - 6*w - 6. Let p be f(7). Suppose p + 5 = 2*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2200*p**2 + 2201*p**2 + 0 - 16.\nAnswer: p**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/132)\/(-8 + 564\/66).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 0.4, 0.2, 32, 6.\nAnswer: -62, 0.2, 0.4, 6, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1458)\/(-33) - (-14)\/(-77). Suppose -r*i = -43*i - 50. Suppose -2*z = 2 - i. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*b = -8*b + 9688, -5*x = 5*b - 12110. Suppose -4*p = -2*t + x, 3029 = 5*t + 2*p - 3062. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21371 is divided by 156?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 211200200 (base 3) to base 14\nAnswer: 6058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 211.9 - 212. Let f(z) = 3*z - 4. Let k be f(3). Suppose -k*o + 1 = -14. Which is the second smallest value? (a) -0.5 (b) o (c) v (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(228)*-2)\/sqrt(4))\/(2*sqrt(768)).\nAnswer: -5*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 81, 104, 163, 270, 437?\n\"Answer: 2*b**3 + 6*b**2 - 9*b + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 729*w**2 - 343*w**2 + 5*w - 362*w**2.\nAnswer: 24*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/315*(-9)\/3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 11:08 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 6:40 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 113653453 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + 0 + 0)*(3*m + 2*m**2 - 3*m + (88*m - 161 + 161)*(2*m - m + m)).\nAnswer: -178*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 282, -1\/12, -0.5?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 - 5*p**2 + 2*p - 1. Let z be n(3). Suppose 13 = -w + z. Solve 3*h + 0 = -v - w, 4*h - v + 6 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6652019401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 131314 a multiple of 243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45910\/5551 - 12\/793. Which is smaller: -7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4078.854 years?\nAnswer: 48946.248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-323)\/(-2))\/(5\/2 + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 2 + sqrt(128) + -2 + -4)*6)**2.\nAnswer: -2880*sqrt(2) + 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1575 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3210*y - 3209*y = -10 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 397 * -0.4\nAnswer: -158.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 15732 = -2*k, k + 3*k - 31448 = -2*v. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*f**3 + a**3 + 231*a*f**4 + 7*a*f + 2 wrt f?\nAnswer: -6*a**3*f + 2772*a*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**2\/2 + 5. Let o be y(6). Let s = o + 14. Solve -6*l + 4*l = -s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*sqrt(45)*-1 - ((sqrt(270) - (sqrt(270)*1 + sqrt(270))) + sqrt(270))\/sqrt(6)).\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v**3 - 4*v**2 - 16*v - 30. Let t be x(6). Calculate the highest common factor of 108 and t.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/1653 - 5219\/1653. Let a = n + 637\/304. Find the common denominator of a and -5\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/5)\/((-3)\/105). Let f(h) = 12*h**2 - 2*h**3 - 28*h + 0 + 1 + 3*h**3 + 11. Let y be f(n). Solve -4*k + k = -y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -85846, -171692, -257536, -343378, -429218, -515056?\n\"Answer: z**2 - 85849*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**4 + 0*m**4 - 3*m**4 + (2 + 2 - 2)*(16*m**4 - m**4 + 4*m**4).\nAnswer: 30*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 780974001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 644 - 1047 = 53*m - 4696. What is the highest common factor of 13689 and m?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 5*t**2 - 1. Let j(z) = -z + 2. Let x be j(-3). Let u be o(x). Which is smaller: 6\/25 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27261601 - 2?\nAnswer: -27261603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyya when four letters picked without replacement from {y: 5, l: 6, a: 4}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 153 - 6*g - 155 + 7*g**4 + 20351*g**3 - 20341*g**3 + (-2 + 4 - 1 + g)*(-2*g**3 + 2*g - 2*g).\nAnswer: 5*g**4 + 8*g**3 - 6*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6459?\nAnswer: 3, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2 - 18*w + 40 = 0. What is w?\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 19*g**3\/6 - 9*g**2\/2 + 15*g. Let c be k(2). What is the highest common divisor of 232 and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8 - (-3 + 3) - -1) + 2. Suppose -b - 15 = -4*b, 4*b = 3*f + n. Solve -5*z + 17 = -f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 39451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 21*p**2 - 45*p - 48. What is d(23)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**4 + 8*h. Let g be (18\/(-21))\/(4\/(-28)). Let o(a) = -4 - 2 + g + a. What is r(o(l))?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -31a63 (base 11) to base 7\nAnswer: -252444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 3*c - 23 + 22, 0 = 3*o + 3*c + 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 158*p. Let d(j) = 12*j + 20. Let x(t) = 2*t + 4. Let h(f) = -d(f) + 5*x(f). Give w(h(i)).\nAnswer: -316*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/(66\/75)*((-2400)\/125 - -15) and 79\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -27068, -54138, -81208?\n\"Answer: -27070*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 120 = 3*g, 3*p = -2*g - p + 80. Suppose 4 = r + 3*d, 0 = 5*r + 3*d - 49 - 31. Let j = -11 + r. Calculate the greatest common divisor of g and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 21, 18, 15, 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 43. Let j be ((-11)\/(-3))\/((-1)\/b). Let y = 68 - j. What is the remainder when 50 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**2\/5 + 653864*m\/5 - 653863\/5 = 0?\nAnswer: 1, 653863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394\/(-76 + 42) - -8?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 423*b**2 + 4663*b + 14. Let u be c(-11). Sort -3, 4, u, 2, -1 in increasing order.\nAnswer: u, -3, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12a544 - -30?\nAnswer: 12a574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*i + 49 + 92*i**3 - 45 - 32*i**4 + 7*i - 84*i**2 = 0. What is i?\nAnswer: -1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.5 + -11. Sort 1\/4, a, -0.2 in descending order.\nAnswer: 1\/4, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 13 = -f + 4, 2*f + 5*d + 14 = 0. Let p = 6 + -5.9. What is the second smallest value in p, -1\/2, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*b + 3, 2*o + 3 = -4*b + 1. Suppose -3*t - 152 = -5*t - 4*u, b = 2*u - 2. Let k = -32 + t. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10857 and 3290?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 2)*18\/(-4). Let c be 2 + -2 + 5 + -6. Let j be (-4)\/c + 12 + -17. Put -5, j, w in descending order.\nAnswer: w, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7291 rounded to the nearest one hundred?\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1851 and 3591.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 37014\nAnswer: -11\/37014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3677764 and 15008?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12022212000 (base 3) to base 14.\nAnswer: -2a308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -87 at most as big as -604\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**2 - 684*m - 688 = 0.\nAnswer: -1, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 5*y - 4*y)*(2*y - 3*y - y) + (232*y + 349*y + 391*y - y)*(3*y - 2*y + y).\nAnswer: 1946*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65*d*t**4 - 2*d*t**3 + 34*d*t - 4*d + 4*t**3 + t + 3 wrt t?\nAnswer: -780*d*t**2 - 12*d*t + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + (sqrt(2057) - (4 + sqrt(2057)*-3)))**2.\nAnswer: -440*sqrt(17) + 51441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 + 38\/((-6)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1 - 5 = -p, 3*p - 2*q = 52. Let h(s) = s**2 + 20*s + 52. Let v be h(-19). Let k = v - p. Which is smaller: -2\/5 or k?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2888 + -1915. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1797 + -1270. Calculate the highest common divisor of 68 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4413029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -748d (base 15) in base 16?\nAnswer: -6052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*x + 5. What is the highest common factor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b - 15. Let n be v(10). Let p be (-2 + 16\/6)*-6. Sort n, 4, p in decreasing order.\nAnswer: n, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9, -3, -2\/9, 21 in ascending order.\nAnswer: -3, -2\/9, 1, 9, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -718*c + 231*c = 31872 + 808 + 14559 for c.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -848 - -398. Let i = 1058 + g. Suppose 0 = 3*a + 4*v - 471, -4*v - i = -5*a + 209. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015787086 rounded to 5 dps?\nAnswer: -0.00158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2 - 42*q - 117 = 0. Calculate q.\nAnswer: -39, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1566\/(-7) - 22\/77. Let p = q - -220. Let u(v) = -3*v + 1. Give u(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 7:52 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -420, 5 in descending order.\nAnswer: 5, -1, -420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 99081.5ml?\nAnswer: 99.0815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.6 - -0.9. Let o = 0.8 + d. Which is the second biggest value? (a) o (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5707022 - 309.5679922. Let r = 309 + p. Round r to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, q: 1, e: 1, z: 1, g: 1}. Give prob of sequence ezq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 14. Let m(w) = -6151*w + w**2 + 5*w**2 + 6151*w. What is f(m(o))?\nAnswer: -6*o**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-3) - (-3)\/9. List the prime factors of 13\/3 - 1\/s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2910 - -4283. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*l - 73*l + 174*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 + 4*m + 9. Let b(x) = 4*x**2 - 9*x - 19. Determine 6*b(a) + 13*w(a).\nAnswer: -2*a**2 - 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -6 + 2. What is the units digit of (18 - 3) + c + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-93288)*-26*(-6)\/((-4)\/4).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 7*h**2 + 9*h + 1. Does 2 divide g(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81 - 59. Let u be ((-15)\/10)\/(6\/(-88)). Calculate the greatest common divisor of j and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1371*m - 1489 wrt m?\nAnswer: -1371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 6*h**2 + 3. Let r be c(-5). Let o(g) = -g**3 + 8*g**2 + 1. Let l be o(8). Let u = l - r. Calculate the remainder when u is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 101 = 86 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 12)*(-3*z**2 - 4*z**2 + 0*z**2).\nAnswer: 105*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/12 + -9)\/(3\/14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -2879\nAnswer: 20\/2879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -146 smaller than -144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -935, -3571, -7915, -13955, -21679, -31075, -42131, -54835?\nAnswer: -69175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*(r\/(((r*r\/(r\/(r**(-4)*r)))\/r*r)\/r*r)*r*r)\/r*r**(4\/5))\/(r**8*r**(-8)))**(-24) assuming r is positive.\nAnswer: r**(-816\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -48*q**3 - q**2 - 2*q - 2. Calculate the remainder when 139 is divided by k(-1).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.896342 * -0.09\nAnswer: -0.35067078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -16 + (-21 - -14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.4. Let s = 0.2 + y. Let l(z) = -z**3 + 5*z**2 + 5*z + 4. Let o be l(6). Which is the closest to s? (a) 0.1 (b) 3\/4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/2619980 and -89\/47636?\nAnswer: 2619980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(7)*-2 + 1.\nAnswer: 1 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**4\/20 - 7*g**3\/15 + 718. Find w, given that d(w) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -443, 1, 2\/61, -4 in descending order.\nAnswer: 8, 1, 2\/61, -4, -443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 3\/8 (b) 2\/3 (c) -9 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44810*y + 3000*y**2 - 44810*y + 3000*y**2 - 6011*y**2.\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-42)\/(-637))\/((-51)\/(-119))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 j when three letters picked without replacement from {v: 1, j: 7, p: 1, t: 4}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.94735 + -30.\nAnswer: -39.94735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -0*m + 2*m - 3*l, 0 = -4*m + 5*l + 21 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -2, -6, -20, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u + 16. Let m be z(-6). Let g(r) = r**2 - 2*r - 3. What is g(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4, 1, -2, -5, -8?\n\"Answer: -3*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 + 4 - 4 + (-d**2 + 3*d - 3*d)*(0 + 4 - 2) + (-5 + 1 + 3)*(0*d - 2*d + d)*(-7*d + 0*d + 3*d)*(-6 - 11 - 3).\nAnswer: 79*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1 = -2*o + 4, -5*o + 11 = -3*k. Suppose -3*n = -o*n - 9. Let r = n - -4. Let m(f) = f**3 + 4*f**2 - 5*f - 1. Give m(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 6, -s - s + 126 = 4*a. Let n = -59\/2 + a. Sort 1, n, -3.\nAnswer: -3, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 2*s - 2*o - 33, -39 = 214*s - 214*s + 13*o for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = v, 3*v + 0*v = -5*g. Suppose 4*x - 16*r = -11*r + 127, g = 2*x - 5*r - 61. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -161*g**3 - 94*g**2 - 89969 wrt g.\nAnswer: -483*g**2 - 188*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-38)\/(-9) - (52\/18)\/13. Solve -x*p = -3*h + 2, -p - 5*h = -0*p - 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -718 (base 11) in base 8?\nAnswer: -1542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100882959?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from {e: 1, d: 1, s: 2, i: 4, b: 1, o: 6}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.06, 1\/2, -13, -53, -2\/7, 0.2?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3 = -g - 2*t, 4*t = g - 3. Let i = -5 - -2. Let l = -36 - -35.5. What is the second smallest value in l, g, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 17*n**2 + 42*n**2 + 5*n**3 - 14*n**2 - n - 9*n**2 in the form h*n**3 + k*n**2 + i*n + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39\/496 - -78\/31. Calculate the common denominator of (-52)\/14 + (-4)\/14 + 4959\/1392 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 60 = 5*a, 28 + 7 = 5*a + 4*h. Let g(f) = a + f - 7*f + 9 + 3*f. What is the units digit of g(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**4\/8 + 237*c**3\/4 + 60*c**2 - 237*c\/4 - 477\/8 = 0.\nAnswer: -1, 1, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(sqrt(252)*3))**2.\nAnswer: 7\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6 - 12*y - 10*y + 5*y. Let p be j(-6). Suppose -3*l + 57 = -p. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 7*q - 3. Let f be h(6). Let s(t) = 6*t**3 + 8*t - 8. Let g(y) = -3 - 3*y - 2*y**3 + 0*y + 6. What is f*s(b) + 8*g(b)?\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2 + sqrt(108) + 1)**2 + -2 - (sqrt(108) + (sqrt(108) - -1*(0 + sqrt(108) + sqrt(108))))**2*-2).\nAnswer: -12*sqrt(3) + 3568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 12:40 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 + -136\/3. Determine o so that 1\/3 - s*o**2 + 0*o**3 + 1\/3*o**4 + 0*o = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yiqq when four letters picked without replacement from yyyqqqyyiiyqy.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 1 + (0 + 3 - 5)*(3 + 4 - 5) + 4 - 3 + 0 + 10 - 19 - 1)*(-3*y + 2 - 1 + 0*y) as z + w*y and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 10154.\nAnswer: 60924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -160, -1557?\nAnswer: -1557","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/11776 and 61\/3.\nAnswer: 35328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**3 - 9*o**2 - 4*o + 1. Let l be q(7). Suppose -y = y - l. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93772 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(400) - sqrt(400)*-1) + sqrt(400) - 2*sqrt(400)*1)\/((sqrt(72) + sqrt(72)*2)*2).\nAnswer: 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 45.\nAnswer: 2.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -20*d - 10. Let u(n) = -4*n - 2. Let t(f) = 3*a(f) - 16*u(f). Let m(b) = -9*b - 3. Suppose 18 - 3 = 5*r. Let l(o) = r*m(o) + 5*t(o). Determine l(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 3*r - 5. Let q(i) = -i**2 - 2*i + 1. Let f be q(-3). Calculate the remainder when p(6) is divided by (-6 - (3 + f))*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3528051 or 11\/4?\nAnswer: -0.3528051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (34\/(-6))\/((-1)\/6). Suppose 19*q = -3*q + 1078. Let s = q - m. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -285, -468, -525, -342, 195, 1200?\nAnswer: 2787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 13570000 to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 2*t + 93 = 185 - 71, -t = 3*m + 18 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 5:28 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*r = 5*q - 4, -5*r - 21 = -3*q. Let y = 11\/2 - 5. Let j = -9543 - -9546. What is the closest to y in 0.5, j, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 4*u - x, 0 = -6*u + 11*u - 4*x - 120. What is the lowest common multiple of 6 and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 10424160*j.\nAnswer: -10424160*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4062338193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -8 - (-24 - -28).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 - 29 - 17*g + (0 - 2 - 1)*(-1 - 1 - 1)*(3 - 3 + 3*g) to the form a*g + q and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-2 + 4 + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 10*s = -5*r - 181, -205 = 5*r + 5*s. Let i = r - -251. Round i to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by 117.\nAnswer: -35\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/45)\/(o\/o**(2\/27)*o))\/(o**(-1\/68)\/o*(o\/o**(3\/26))\/o))**13 assuming o is positive.\nAnswer: o**(-100279\/9180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.2, 1, 14, -1\/3 in ascending order.\nAnswer: -1\/3, -0.2, 0.2, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10*((-135)\/(-10))\/(12\/(-4))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 0*l**3 - 5\/3*l**4 - 37\/2*l**2 + 22*l + 0. What is the first derivative of f(g) wrt g?\nAnswer: -40*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -10*h + 268. Let m be p(13). Solve -76*c - m = -53*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -537 - -533. Let x(i) = -2*i. Let n be x(-3). Let s be -2*n\/54*(-6)\/(-1). What is the nearest to -33 in 0, k, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 700 = -t + 715, 5*t - x = 7179. Suppose -3*b + 422 = -d, -3*b + 0*b - 3 = 0. Let w = d + t. Round w to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -58979041 < -58979033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 5*p = -7, -3*w + 4*p = -8*w - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -3, -0.036, 1\/131?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/3*1*3. Suppose 4*a + 0*a = -5*o + 29, 3*o - 14 = a. What is the remainder when -16*(0 + r\/(-2)) is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 399, 1552, 3479, 6174, 9631, 13844?\nAnswer: 18807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 9:13 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -26, -46, -68, -92, -118?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5*i + 15 = 0. Suppose 6*z - 4*z - 62 = 4*r, i*r - z + 45 = 0. Is (-637)\/r + 6\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 404314 + -21104?\nAnswer: 333210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 288749, 288798, 288851, 288908?\nAnswer: 288969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + -3*14\/(-6). Let n(l) = -4*l**3 - l**2 + 4*l - 6. Let f be n(-3). What is the first derivative of 81*a**2 - f*a**2 + 7 - b*a**3 wrt a?\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**0\/i)**(-21)*(i**2*i)**(1\/4))**(-32) assuming i is positive.\nAnswer: i**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1463, -2004, -2525, -3026, -3507, -3968, -4409?\n\"Answer: 10*l**2 - 571*l - 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48048 and 283998?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 111 + -288. Let t = -177 - n. Suppose -79 = -5*v + 26. Which is the closest to v? (a) t (b) -1 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594\/5 at most as big as 119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 92 = -41. What is the remainder when i is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -125 + 125.5. Let y = 7.13 + -0.13. Sort o, y, -2 in ascending order.\nAnswer: -2, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8573 + -0.5573. Which is the nearest to o? (a) -39 (b) 1\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -19*k**2 - 143*k + 266. Give z(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160659 is divided by 6431.\nAnswer: 6315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 4*t - 9 = -3*z, -5*z - 3*t + 19 = 0. Let m be -1 + (-122994 - (z - 0)). Round m to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*q + k + 25, -q - k = 0. Sort 5, q, 0, -4 in decreasing order.\nAnswer: 5, 0, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5 + sqrt(1008)*-1 + 4 + 2*sqrt(1008) + sqrt(1008))**2.\nAnswer: -240*sqrt(7) + 4057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2263*a + 2233*a + 345*a + 539*a - 1132*a - 5. Is s(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 51711 and 51714 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 75 = 159. Suppose 87 - 347 = -f*y. Sort y, 3, -1 in ascending order.\nAnswer: -1, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/sqrt(2) + sqrt(2))**2*-2 + sqrt(2) + 3 - (-2 + -2*sqrt(242)).\nAnswer: -11 + 23*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 641753977?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31382 and 59670?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 71*n**2 - n. Suppose 4*m - 5 = -m. Is 15 a factor of x(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1150, 2276, 3350, 4348, 5246, 6020, 6646?\n\"Answer: -4*a**3 - 2*a**2 + 1160*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -731*f**3 + 147*f**3 + 276*f**3 + 103*f**3.\nAnswer: -205*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - 0.83. Let d = -2.5 + 3. Let y = -353 - -353. What is the closest to y in 2, x, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 3*a. Suppose a = -4*y - 0 + 8. Let i(u) = -3*u - 161. Let j be i(-54). Solve -b + 0*b + y*q - j = 0, 0 = 3*b - 3*q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16992 divided by -531?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 202010 (base 3) in base 9?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -9*k**4\/8 + 4*k**3 + 11*k**2 + 8*k - 17. Suppose i(a) = 0. Calculate a.\nAnswer: -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (6 + 184 + -108).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1771 - 1?\nAnswer: 1770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = c - 13, t - 910 = -4*c. Factor -787*v + 876*v + v**4 + t*v + 1331 + 396*v**2 + 34*v**3 + 703*v.\nAnswer: (v + 1)*(v + 11)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0*t + 2, -5*u + 2363 = -3*t. Let l = -289 + u. What are the prime factors of l?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p**3 + 31*p**2 + 45*p + 9. Let a(d) = d**3 + 8*d**2 + 11*d + 2. Let c(s) = 9*a(s) - 2*y(s). What is the tens digit of c(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 x when four letters picked without replacement from kkxkkkkkkkxx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwmwmwwwwwwmwm. Give prob of picking 4 m.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 588 + -588.1. What is the third smallest value in -162, 3\/2, p?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (1\/5 - 56\/280)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 555465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111010000111 (base 2) to base 11.\nAnswer: -11032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 45 + 80 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 466354.2 months?\nAnswer: 3886.285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -12*g + 18*g. Suppose z + 5*a = 34144, -4*a - 136552 = g*z - 14*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 308157843*n**3 - 2*n**2 - 212641135?\nAnswer: 924473529*n**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**4\/4 + 2*u**3\/3 + u**2\/2 - 3. Let q be b(2). Suppose 5*g + 6 = 3*z, -3*g + 10 = -20*z + 25*z. Solve g = -q*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -205 + 431. Let n be 2 - 5 - (-2 - 1). Suppose n = -3*o + o + d. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 + -21. Suppose 3*u = w - 5. Suppose -3*v - v = 5*s - 23, -3*v = -5*s + u. Solve -3*i + 9 = s*o, o + i = -2*o + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + (sqrt(121)*-1*2)\/(sqrt(704)*1))**2.\nAnswer: -27\/4 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/8694 and 59\/13662?\nAnswer: 95634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 78 + 85 = 0. Find the second derivative of 4*u - 11*u + g*u**4 - 5*u**4 wrt u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -19*g**3 - 3*g**2 + 2*g - 4. Let s(q) = -20*q**3 - 3*q**2 + 2*q - 4. Let h(k) = 6*p(k) - 5*s(k). Is h(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-9)\/(-12) - 38\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a milligram in micrograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w + 8280 = 42*w. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4317 divided by -5.\nAnswer: -4317\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 246 = -2*w + 106, 11*s = -308 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/4*29\/29?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 450720287?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -8*a - 36 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4144 (base 7) to base 6.\nAnswer: 10421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1134)\/(-840) - 6\/10.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -18*j + 1. Let o(f) = -54*f + 3. Let x(g) = -3*o(g) + 8*r(g). Is x(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a*c**4 - 15*a*c**3 - 17*a*c**2 - 6*a*c + c**3 wrt c.\nAnswer: -24*a*c - 90*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56126082.\nAnswer: 2, 3, 1607, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**3 + 75*d**2 - 35*d - 70. Let m be i(37). What is the nearest to -2\/3 in m, -1\/2, -1.06?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*t + 26 = 94*t - 191*t + 4*r - 168, 2*t + 2*r - 100 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2*j)**(1\/9))**(-20\/11) assuming j is positive.\nAnswer: j**(-20\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 5 = 2*t, -16*t = -15*t - 4*g + 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*m**2 + 218*m - 1488.\nAnswer: -16*m + 218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -16*t**3\/3 + t. Let o(r) = 5*r - 16. Let n(k) = 20*k + 9 - 24*k + 3. Let u(g) = -4*n(g) - 3*o(g). What is l(u(h))?\nAnswer: -32*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**8\/560 + 11*c**7\/350 + c**6\/20 - 292*c**2 - 2*c. Factor s(j).\nAnswer: 3*j**3*(j + 1)*(j + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 174*r**2 - 10*r + 162. Let k(w) = -30*w**2 + 2*w + 1. Give 5*k(d) + s(d).\nAnswer: 24*d**2 + 167","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9953957 is divided by 735.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 10*r**2 - 16*r + 153. Let s be f(9). What is the greatest common divisor of 180 and s?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2221, -2220, -2219, -2218, -2217?\nAnswer: -2216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/(-15)*-3)\/(-2) - -7. Solve -3*z = -2*z + 3*k + 8, -g = 5*k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-2))\/(31\/((-93)\/(-90))).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2796.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001010 (base 2) in base 10?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*t = 20, -4*d = t - 6 + 1. Suppose -3*n + 27 - 36 = d. Is -5 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -87, -1\/20, -5 in decreasing order.\nAnswer: -1\/20, -5, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608565402?\nAnswer: 2, 3, 19, 31, 61, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by 54044.\nAnswer: -15\/13511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31246401323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + (-3)\/(-3)*-2. Suppose -x*t + 39 = -4*t. Suppose 6*w - t = 3*w. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, c: 2, b: 1}. Give prob of picking 2 c and 2 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/10 and 3*292\/72 - 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 43*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 9*k + 5. Determine w(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6\/67, -37 in ascending order.\nAnswer: -37, 6\/67, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 - 14 = j, -3*l = 2*j + 6. Let q = 46 - j. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19\/6, 0.4, -5 in ascending order.\nAnswer: -5, -19\/6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1475 - 1027. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 175*h - 177*h + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*q + 35, 0 = 2*w - 2*q + 7*q - 5. Let t(b) = b**2 - 10*b + 3. Let g be t(w). Suppose 2*v + 2*v = 4, -n + g*v - 3 = 0. Solve 4*h + n = -12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.092 + 4.988. Let v = 21.92 + -22. Let w = u + v. What is the closest to -1 in -1\/6, w, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + 5 - 56\/7. Suppose 0 = 4*z + l*r - 1258, 10*r = 5*r + 25. Calculate the greatest common factor of 96 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18088*n**4 + 6*n**2 + 569449*n wrt n?\nAnswer: -217056*n**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**6\/30 - c**5\/6 - c**4\/3 - c**3\/3 - 2*c**2 + 4. Let z(l) be the second derivative of b(l). Factor z(o).\nAnswer: -2*(o + 1)**2*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-16)\/3072*6\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 58\/90)\/((-118)\/(-295)). What is the nearest to b in 0, 2, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**6\/360 - 7*p**5\/36 - p**4\/2 + 99*p**2. Factor l(m).\nAnswer: m*(m - 36)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1382, -2343, -3304, -4265?\nAnswer: -5226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -350.1 (c) 0 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 6*s - 15. Suppose 6 = -2*b + s. What are the prime factors of -2 - b - (-2 - 1 - 173)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 993626 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1401 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -75610 and -1720191306.\nAnswer: -1720266916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*c - 3*c - 15*c - 470*c**5 + (c**3 + 1 - 1)*(4*c**2 - 3*c**2 + c**2).\nAnswer: -468*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -8*b**3 - 12*b**2 - 14*b + 35. What is the units digit of h(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*k = 178, -5*u + 6*k + 842 = 8*k. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 f when four letters picked without replacement from {w: 6, f: 2, z: 1, b: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, -7\/13, -77.879?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13420 is divided by 207?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -12*k - 1. Let l = -30 - -97. Let p = l - 82. Let z be (-10)\/25 + 24\/p. What is s(z)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**2 - 4*l. Let f(h) = -h**2 + h. What is 14*f(t) + 3*n(t)?\nAnswer: -2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 334, 433, 666, 1099, 1798, 2829?\nAnswer: 4258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 22 = 3*b, 3*y - b - 6 = 2*b. Let z be 3 + y*2\/(-16)*-4. Find the first derivative of -4*x - 21 - z*x - 4*x + 2*x wrt x.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1786390922?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(280\/49)*(-12)\/(-42)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -207 + 212. Suppose 5*i - 417 = -4*c + 6*i, -i = 5*c - 519. Calculate the remainder when c is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9358108, -18716217, -28074326, -37432435, -46790544, -56148653?\n\"Answer: -9358109*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(209) + (sqrt(209) - ((sqrt(209) - (sqrt(209) + 2*sqrt(209))) + sqrt(209))) + sqrt(209)) - sqrt(209)) + sqrt(209))\/sqrt(11).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwvffyw. Give prob of picking 1 y, 1 f, and 1 w.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.3 - 2.7. What is the third smallest value in 28, 5, z, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2598540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239, 294, 393, 542, 747, 1014, 1349?\nAnswer: 1758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - (18 - (-29 - -40))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 3*x + 1. What is n(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -10\/7, 2, -0.04 in increasing order.\nAnswer: -10\/7, -0.04, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0.4. Let h(t) = 24*t**3 - 2*t**2 - 2. Let r be h(-2). Let y = 203 + r. What is the nearest to y in -3, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 6 = -4*x + 9*x, -5*x + 2*o + 8 = 0. Suppose -2*p - x*p + 12 = 2*q, -15 = q - 5*p. Suppose q = 4*n - 5*n. Is n less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.02, -21003, -5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -26*j - 82. Let v(u) = -45*u - 165. Calculate -11*c(a) + 6*v(a).\nAnswer: 16*a - 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8 - ((0 + (1 - 1) - 2) + (30 - 11))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from iiiibiibbi.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-17)\/b)\/(b\/(b\/(b**(-25)*b))))**(30\/7) assuming b is positive.\nAnswer: b**(180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23447123*j**3 + 16610694*j**2.\nAnswer: 140682738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5929*m**2 + 225308*m + 228 = 0?\nAnswer: -38, -6\/5929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1753 - 1755. Sort 57, 91, -5, t in descending order.\nAnswer: 91, 57, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 4*o + 6. Calculate t(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3101602 is divided by 43.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**2\/2 - 7*k - 31. Let w(a) be the first derivative of o(a). Let d(h) = -h + 1. Determine d(c) + 4*w(c).\nAnswer: -c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 6*p**2 - 11*p - 5. Suppose 23*j + 84 = 2*j. What is x(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 0.11, -2\/15, -1\/9?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = b - 4*a, -5*b + 3*a - 2*a = -322. Suppose 9*y - b = 70. What is the highest common divisor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 556 = 3*k + 4*j - 5*j, 0 = -2*k + 3*j + 366. What is the remainder when k is divided by 41?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8793737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z - 20. Let r be f(10). Suppose 0 = -3*p + 2*i + i - 96, 4*i + r = 0. Let o = p - -39. Solve 3*n = 5*x - o*n + 15, 0 = 4*x + 2*n - 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 71*v + 19. What is g(-1)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*h - 20 = 25, -3*g + 10 = -h. Solve -2*d = g*i - 25, 5*d - 4*d + 20 = 4*i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -719 and -0.3?\nAnswer: 718.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*u + 103*u**2 + 43807 - 43807.\nAnswer: 103*u**2 + 33*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 - 2*m**3 + m**3 + (m + 5*m - 4*m)*(-3 - 2*m**2 + 3) + (2*m + m**2 - 9 + 9)*(-16 + 16 - 4*m) in the form n*m + d*m**3 + z + u*m**2 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffkkkkkkfkkfkfkkkk. Give prob of sequence kkf.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51\/1150 + -1\/230. Let k(b) be the third derivative of 0*b - 1\/150*b**6 + p*b**5 + 0 - 1\/10*b**4 + 2\/15*b**3 - 6*b**2. Factor k(m).\nAnswer: -4*(m - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 4:57 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 751\/945 - -1\/189. Let r = -21 - -15. Let i be (-4)\/r*(-9)\/15. Which is the third smallest value? (a) g (b) i (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*y + 6*w - w = 114*y - 92, 2*y + 14*w + 162 = -86 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1263320*r**2*t**2 + 62*r*t**2 + 4168*r wrt r?\nAnswer: 2526640*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 14026416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 216*k**2 + 90*k + 15. Let j(m) = m**2 - 6*m - 1. Calculate -c(a) - 15*j(a).\nAnswer: -231*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 12, -1.\nAnswer: -1, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from riyrryiryr?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0163459 to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*g + 145 = 0. List the prime factors of g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**4 + 224280*g**3 - 1345815*g**2 + 2018790*g = 0. Calculate g.\nAnswer: -44862, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3356 at least 3332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 6 = 4*n. Suppose 12 = n*h + h. Let r = 2 - h. What is the smallest value in r, -5, -6\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millimeter in micrometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 3 (b) -1\/9 (c) 130\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 3*f - 3. Let x be (-4)\/2 + (6 - 3). Let p(r) = -f - 4*r + x - 1. Calculate p(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12861 = 253*f + 11427 for f.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-537)\/(-11) - (-2)\/11. Suppose 0 = -4*a + c + 155. What is the remainder when a is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21261501 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 - 6*s - 12. Let d(u) = -u - 2. Let a(q) = -6*d(q) + l(q). Let t(n) = -n - 34. What is t(a(b))?\nAnswer: 2*b**2 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.57 and -0.08.\nAnswer: 0.3656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -183*z**3 + 4*z**2 + 4*z. Does 16 divide l(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3820 and 530?\nAnswer: 202460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 (base 11) in base 6?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h. Suppose p + 8 = 26. Suppose -p - 18 = -3*o. Let t(j) = -o*j**2 + 36*j**2 - 15*j**2. Determine k(t(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5289 = -773*r + 3987 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*c**3 + 10*c**2 + 2*c - 20307 wrt c?\nAnswer: 63*c**2 + 20*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1254 = -39*s + 61*s. Suppose 0 = 30*b + s - 147. Let -9 + 6*m**2 + 10\/3*m**b + 1\/3*m**5 - 7\/3*m**4 - 9*m = 0. What is m?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-315)\/20)\/(-9) - (40293\/(-36))\/37.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -3*m + 3*y, -5*y = -m - 30 - 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 0.9. Which is the nearest to -2\/3? (a) -0.8 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13.6142 and -0.2.\nAnswer: 2.72284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*c - 5416 - c**2 + 5416.\nAnswer: -c**2 + 23*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -98 in 1\/2, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 154.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65 + -42)*(-3 + (-1 - (-8 - -6))).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 229071\/844 - -388\/211. Let p = 225 - -46. Let w = i - p. Find the common denominator of 79\/10 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4 + 19\/(-2). Let r be (-912)\/k + 6\/9. List the prime factors of (1\/3)\/(2\/r).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -5\/156473813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 1\/(3\/(-147)). Let n be l\/(-12) + -4 - 1090\/(-6). Let x be 1 + 2\/(2\/25). Calculate the highest common factor of x and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 + -0.37. Let d = -0.2 + t. Let m = 0.5072 + d. Round m to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22355571 and 9576?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -185*c**3 + 237*c**2 + 830*c. What is the derivative of l(b) wrt b?\nAnswer: -1110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-11460)\/128)\/(-15) - 6. Which is the second smallest value? (a) k (b) -2\/9 (c) 0.1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t - 6*t**3 + 3*t**3 - 7*t**3 - t**3 + 2 as s*t + w*t**2 + l*t**3 + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2447 + -26206?\nAnswer: -28651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**3 - 15*h**2 + 5*h + 4. Let q be z(6). Let i = q - 704\/5. Factor -24\/5*g**2 - 21\/5*g + i*g**4 + 3\/5*g**5 - 6\/5 - 6\/5*g**3.\nAnswer: 3*(g - 2)*(g + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1641 or 1642?\nAnswer: 1642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110385506.\nAnswer: 2, 7, 11, 716789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(80) + sqrt(80)*-2 + -3)**2 + ((0 + sqrt(80) + 1)**2 - sqrt(80)) - ((-5 + (sqrt(80) - (-1 + sqrt(80))))**2 + 1)).\nAnswer: 28*sqrt(5) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*q + 4. Suppose u + 12 = -u. Let n = u - q. 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 k be ((-300)\/35)\/(4\/42). Let h be 2\/k - (-2)\/9. Let p = -7505 + 7504.8. Put p, h, -0.1 in descending order.\nAnswer: h, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwwallllwllallllaw. Give prob of picking 2 l.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*n + 0*n + 3*n)*(-76*n - 1109*n + 294*n) + 6 - 8*n**2 - 2 - 2)*(-2 - 2*n + 3*n + 1) as f*n**2 + a*n + o + g*n**3 and give g.\nAnswer: 883","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37026208 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 26925, 27968, 29011?\n\"Answer: 1043*y + 25882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/4134493 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 16*y - 6. Calculate a(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -272 + 4?\nAnswer: -26a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p. Let k(n) = n**2 + 6*n**2 - 2*n**2 - 4*n**2. Determine y(k(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5*k = -3, 35*h + 5*k + 6 = 37*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 10*9\/12*(-144)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v + 166*v - 1216 = 0 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -197*j + 8477. Determine c(43).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/51, -0.11, 0.3.\nAnswer: -0.11, 1\/51, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2789446, -2789405, -2789364?\n\"Answer: 41*s - 2789487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4850.822g in kilograms?\nAnswer: 4.850822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6637 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*z = -z - 24, -5*q - z = -42. Suppose -11*w - 13 + 79 = 0. What is the remainder when q is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -191, -149, -111, -77?\n\"Answer: -2*g**2 + 48*g - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 10 + 0 + x)*(4 - 3 - 2*x - 3).\nAnswer: -2*x**2 + 6*x + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 111 - 131 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 2. Let d be ((-1)\/(-1) - v) + 2. Let t = 115 + -113. Which is the nearest to t? (a) -0.2 (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 1) + (405 - -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*a = 45*a + 13*a - 868 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 5. Let q(k) = -2. Suppose 7*j - 60 = -8*j. What is j*p(z) - 11*q(z)?\nAnswer: 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l**3 - 11822*l**2 - 3*l**3 - 111*l**4 - 2*l**3 + 11795*l**2 - l as x*l + p*l**2 + h*l**4 + f*l**3 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1366857.\nAnswer: 3, 29, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272*o**2 - 783*o + 783*o.\nAnswer: 272*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2*w + 11 = -7*q, 0 = -3*q - 4*w - 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 340739692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10882099?\nAnswer: 71, 153269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00135091891 rounded to 6 decimal places?\nAnswer: -0.001351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 7 = -4*s. What is the units digit of 210\/(-4)*(s - -1 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -86 + 24 - 14.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16, -148, -400, -778, -1288, -1936?\n\"Answer: -b**3 - 54*b**2 + 37*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qgqqgqgq. What is prob of sequence gqq?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -14.91. Let b = y + -8.21. Let u = b - -12. Are u and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -10. What is the closest to 4 in a, -2\/5, -6, -23?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 - 3*v**3 + v**3)*(-7*v**2 + 12*v**2 + 77*v - 4*v**2).\nAnswer: -v**5 - 77*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) - sqrt(243)\/(sqrt(9)*1))\/(1*sqrt(144)) + 5 + sqrt(216)\/sqrt(2).\nAnswer: 5 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + -1. Let g = l - -0.4. Let q = -0.2 - g. What is the third smallest value in 0.5, 1\/11, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4 - 8*v + 1 + 9*v. Let t be ((-6)\/4)\/(3\/(-16)). Calculate the remainder when o(t) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -342 - -341.92. Which is the third biggest value? (a) -0.1 (b) v (c) 0.3 (d) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*g = 76, 4*c - 10 = 3*c - 5*g. Calculate the smallest common multiple of c and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-6*sqrt(114)*1)\/((2*sqrt(18))\/sqrt(3)) - (((sqrt(19) + -1)*2 - (-1 + sqrt(76))) + 1)).\nAnswer: -3*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1212307 - -16?\nAnswer: 1212325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 10:51 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64296980*b**3 - 35860*b**2 - 5*b.\nAnswer: -5*b*(3586*b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h - 3*d - 1311 + 1355 = 0, -h - 10*d = 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*6*sqrt(1331)*4)**2.\nAnswer: 6899904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1074, 1082, 1094, 1110, 1130, 1154, 1182?\n\"Answer: 2*g**2 + 2*g + 1070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 579*w = 575*w + 2*h + 24, -56 = 7*h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30806843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) 0.06304 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-16)\/10)\/(184\/(-9660)) is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 45055.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/69531 + -1777420945\/556248. Let b = -3188 - c. Calculate the common denominator of b and 43\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 10:31 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1838385.\nAnswer: 3, 5, 40853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 148 + -31. Let c(n) = -16*n + 88. Calculate the remainder when a is divided by c(3).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-0.009\nAnswer: 0.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**5)\/(z*z*z**(-3)))\/(z**(-1)\/z*z*z)**30)**32 assuming z is positive.\nAnswer: z**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33225947 is divided by 2225?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -8 (c) -1 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + -63. Let w be (-6)\/4*70\/n. Solve -w = b - 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3906 a factor of 9893898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r + 222. Let f be k(56). Let b be (-414)\/(-522) + 2\/f. Which is smaller: -1\/3 or b?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 10:33 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + -1 - -11 - 3. Let i(x) = 3*x**2 - 2 + 2*x**2 + x**3 + 6*x + 0*x**3 + 3*x**2. Let g be i(-7). Solve -3*r - c - 18 = 2*r, -z = -g*c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5. Let r(t) = t - 6. Let u(z) = -6*k(z) - 5*r(z). Let p be u(-1). Suppose p = -3*j + 14. Solve -2*s = 2*s - 5*c + 7, 0 = -j*s + 2*c for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyy. What is prob of sequence yyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 41*s + 245. Let d be n(-7). Solve 0 = -3*h - 3, 5*j - 2*j + 5*h - d = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 939 and 7199?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1730 times -3?\nAnswer: -5190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -105776, -211550, -317324, -423098, -528872, -634646?\n\"Answer: -105774*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(8\/(-12)))\/(15\/(-20)). Suppose -v = 3*t - u*v - 60, 4*v = -20. Calculate the highest common divisor of 60 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/1551 and -22\/705.\nAnswer: 7755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.217925 - 18.19. Round d to four decimal places.\nAnswer: 0.0279","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10433615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-six fifths of a micrometer?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 h when three letters picked without replacement from uohluhldlahada.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w - 734 + 10*w - 24*w**2 + 734 - 197*w**3.\nAnswer: -197*w**3 - 24*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449 - x**2 + 273 + x**2 + 176 + 5*x**2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/4)\/(6\/588*7). Solve 3*c + k - 8 = x, -11 = -5*c + 3*k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1924.971us to milliseconds.\nAnswer: 1.924971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4) + 20\/(-8). Let l be (3\/(-9))\/(z\/3). Let d = 11\/12 - 3\/4. What is the second smallest value in l, d, -6\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**4 - v**4 + 3*v**4 + (-v**3 + 0*v**3 + 2*v**3)*(-5 + 5 + v).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 2. Let m(w) = -w + 1. Determine g(s) + 4*m(s).\nAnswer: s**2 - 4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w - 19*w - 2628 = 2*r, 0 = 4*w - r - 3509. Which is greater: w or 874?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 117*j + 3982. Let r be k(-34). Solve -r*g = -5*p - 8 + 2, 0 = 4*p + 2*g + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157709.\nAnswer: 17, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 155*m**2 - 4329*m - 306. What is r(28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -146*g + 147*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/39 + -11\/39. Let u(f) = -f**2 + 5*f. Let c be u(4). Suppose y + c = 3*y. Which is smaller: y or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.134169 rounded to 3 decimal places?\nAnswer: 0.134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - j - 2*j + j)*(10 - 24 + 6)*(-14 - 24 + 13) in the form r*j + t and give r.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*g + 8. Suppose -5 = m - g. Suppose -r - 4*l = -m*l - 55, 0 = -r + l + 61. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o - 3*o + o + (-37 + 46 - 39)*(-5 - 3*o + 5).\nAnswer: 88*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20862)\/(-12))\/19*(-10)\/(-3). Let x(g) = -g**3 + 7*g**2 - 4*g + 12. Let s be x(9). Let j = a + s. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 101*f**4 + f - 3853 wrt f?\nAnswer: 1212*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6349?\nAnswer: 7, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/12 - (-1420)\/210 and -47\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45 - 4*k + 15 - 19*k + k**2 + 32*k - 40.\nAnswer: (k - 5)*(k + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*c**6 - 13*c**5 - 2*c**3 + 63966*c**2 wrt c?\nAnswer: 4560*c**3 - 780*c**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h + 3*h + 5*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -456 - 5*f + 1207 + f - 751.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10061, -7869, -5661, -3431, -1173, 1119, 3451, 5829?\n\"Answer: i**3 + 2*i**2 + 2179*i - 12243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -384 * 6.67\nAnswer: -2561.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**2 - 23*x - 121. Is 10 a factor of i(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 25 = -4*p + 2*r, -3*p - 3*r = 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/11 - 16*t**3\/11 - 15*t**2\/11.\nAnswer: -t**2*(t + 1)*(t + 15)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-211 + 211 - 3*b**3)*(2*b**2 + 9*b**2 + 2*b**2)*(-5 + 6 + 1).\nAnswer: -78*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c - c + 124 - 126 - c**2 - 2*c**2 in the form v + x*c**2 + s*c and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 7 + 1 - 2. Let i(c) = -4*c**2 + 3*c. Let y be i(2). What is the least common multiple of n(y) and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 87 - 14*z**2 + 80 + 7*z - 167 in the form a*z + d*z**2 + s and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 2811801?\nAnswer: 28117bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 3\/5 (b) -8 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.775 and -112516?\nAnswer: 112511.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 3*u + 3 = 3*k, -3*k + 3 = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 28d?\nAnswer: -28d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 124 + (-27 - (-43 + 37 + 9))\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*h - 59, 5*h = -l + 8 - 29. Suppose 0 = -0*c + 4*c - 228. Let x be c\/l + 16\/88. Is x greater than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20, 36, 58, 86?\n\"Answer: 3*y**2 + 7*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 3*q - 3. Suppose -a = -3*l - 14 + 3, 4*a - 8 = 0. Let g be s(l). List the prime factors of g\/(1 - 4\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22042 is divided by 20922.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5008328160 + 0.4\nAnswer: 5008328160.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -110303874 - -3?\nAnswer: -110303871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**2. Let x(b) be the third derivative of 13*b**5\/60 + 115*b**2. What is x(c(s))?\nAnswer: 117*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 22023*-0.84\nAnswer: -18499.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 1.29.\nAnswer: 0.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(11\/2))**(-4\/9))**41 assuming d is positive.\nAnswer: d**(-902\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 9*n + 39. Calculate k(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 53454442?\nAnswer: -53454451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4822254829 to the power of 1\/2, to the nearest integer?\nAnswer: 69442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**3\/13 - 28*n**2\/13 + 42*n\/13 + 180\/13 = 0.\nAnswer: -15, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3*7\/(-189)*6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 - 41*u**2 + 23*u - 67. Give v(20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 1. Let m(z) = 2*z**3 - 6*z**2 + 4*z. Let c(d) = m(d) - 2*w(d). Solve c(b) = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -20. Let c(l) = l**2 - 6*l - 11. Let f be c(u). Solve -2*z - 2 = -5*v + z, 10 = 5*v - f*z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -3 (c) -2\/33 (d) -0.3 (e) 1840.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22026115 (base 7) in base 12?\nAnswer: -771421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h + 98. Let o be a(21). Let n(m) = -6657 + 6657 + o*m. Let f(z) = 2*z. Determine f(n(k)).\nAnswer: 112*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h - 6. Let c(j) = -2*j + 6. Let s(g) = 2*c(g) + 3*r(g). What is the units digit of s(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.67 and -1.21?\nAnswer: 0.8107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 226652 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21801367893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zuzuzuuu. What is prob of picking 2 z and 2 u?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 379?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 768*p - 52274.\nAnswer: 2*(p - 443)*(p + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.5 - 4.4. Which is bigger: u or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -116*c + 14870. Calculate r(129).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 748968731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*l + 12487 = 1273*l - 30633 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(605) + (sqrt(50) + -3*sqrt(50))\/sqrt(10))*-6.\nAnswer: -54*sqrt(5) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 6. Let s be w(8). Let g(f) = 1 - 3 + 3 + 0 - 3*f. Let v be g(s). Calculate the highest common divisor of v and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22109\/351 - -1754\/27. Calculate the common denominator of 61\/33 and x.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-16)*(68 - 68). Solve -2*o + 9 = 3*a, u = -3*o + 5*o + 5*a - 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/(-12) + (-592991)\/(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -3. Let l = w + -3. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**3 + 5430*g**2 + 2478651*g + 19483224 = 0.\nAnswer: -901, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 1, v: 1, j: 1, x: 1}. Give prob of sequence zj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/110)\/(12\/90). Let z(r) = -r - 2. Let u be z(-6). Suppose o = 5*o + u. What is the third smallest value in d, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.1 (b) -1\/6 (c) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.04602 - 7.099\nAnswer: -7.14502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140 - -143) + 107 + -255.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 3*g + 3. What is the derivative of 2*k**4 + k**3 + 3 + 0*k**g - k**3 wrt k?\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 48644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -547, -453, -309, -115, 129, 423, 767?\nAnswer: 1161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**3 - 7*a + a**2 + 4*a**2 - 2*a**3 + 0*a**3. Let w be n(-6). Solve w = b - 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20311 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 439 divide 37754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 12*c + 15. Determine o(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -58659*x**3 - 2*x**2 + 3*x - 10. Suppose 2*u = u - 8. Let q be d(u). Suppose -2433246 + q = -3*m. What is m rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 5*h + 4*w, -9 + 2 = 3*h - 5*h - w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 16*r**3 - 2308*r**2 + 83520*r - 20736 = 0?\nAnswer: 1\/4, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (170\/8)\/(-17)*-4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i - 56 = -32 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*v - 2*o + 6 = 0, 2*v - 3*o - 10 = 0. Suppose 4*y = v - 14. What is the smallest value in y, -0.4, -1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -149117 rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 1. Let a(m) be the first derivative of -2*m**2 + 8*m - 5. What is -a(n) + 8*w(n)?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -189731*h**3*l*r + 10*h**3*l + 7*h**3 + 2*h**2*l - 122*h*l wrt r?\nAnswer: -189731*h**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-37)\/z)\/z)\/((z**(2\/7)\/z)\/z))**(14\/3) assuming z is positive.\nAnswer: z**(-508\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000189536 to seven dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11093\/6 - 1848. What is the common denominator of i and 3\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -9*t - 7. Suppose t = -3*k + 122. Let f = k + -30. What is the greatest common divisor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 16287.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 561084 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2120221 (base 3) to base 13.\nAnswer: b23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 times -10?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (7 + (-3 - -3)) - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 88.79729 kilograms?\nAnswer: 88797290000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16605631 bigger than 16605630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 602262.2 centuries in millennia?\nAnswer: 60226.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p**2 - 6*p**2 + 3*p**3)*(3*p - p + 0*p) + 37*p - 37*p - 13*p**4 + (2*p**3 + p**3 - p**3)*(-2*p - p + 9*p).\nAnswer: 5*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 0*s**2 + 0*s**5 + 1\/22*s**4 - 1\/33*s**6 + 46 + 0*s**3 + 0*s. Factor l(a).\nAnswer: -2*a**3*(a - 1)*(a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -31*c + 12. Let w(a) = 6*a - 1. Let y(q) = -11*w(q) - 2*z(q). Calculate y(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*c**2*v**2 - c**2*v + c*v**2 - 160516*v**2 + 9413495*v wrt v?\nAnswer: -12*c**2 + 2*c - 321032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 364\/23, 1\/6, 60, -0.09?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, r: 4, l: 1, j: 2, g: 2, m: 2}. What is prob of picking 3 w and 1 r?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267*(19\/(456\/9) + 215\/24) is divided by 53.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 2. Let s(n) = 9*n**3 + n**2 - 3*n + 2. Let k be s(x). What is the tens digit of -2 - -57 - 9\/k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, p: 1, z: 1}. What is prob of sequence zp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 4 (c) 2 (d) 18 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4a + -3d?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*k**4 + 585*k**2 + 225*k**3 + 0 + 5\/3*k**5 + 540*k = 0. What is k?\nAnswer: -12, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151775.\nAnswer: 5, 13, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**5 + 46761*g**4 + 729003954*g**3 + 3791304786752*g**2 + 34075834767360*g + 68125440540672 = 0.\nAnswer: -15584, -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h = -18. Suppose 13*m = 5*m + 21*m - 2223. What is the remainder when m is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 3, -5 in ascending order.\nAnswer: -5, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + n**2 - n**3 - 2)*(8*n + 8*n + 7*n) - 4 + 2*n**4 + 4 + 2*n.\nAnswer: -21*n**4 + 23*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4\/5 (b) 0.1 (c) -2 (d) 2\/5 (e) 311\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.34?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4528 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**2 - 2*c - 2. Let n be i(-1). Let h = 16 + -1. Solve -3*f + n*l = -31, -f = 4*f - l - h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-175)*(-145)\/348?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -16.8375*70\nAnswer: -1178.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/5)\/(27\/(-45) - -4).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 205\/(-315) + 9\/21. Which is the fourth smallest value? (a) 5 (b) -4 (c) o (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 3*h + 25, v = -h - 3*h - 18. Suppose -v*q + 2*m + 14 = 0, 3*q = -2*q - m + 5. What is the second derivative of 3 + x - 3 + q*x + x**2 wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 25*g. Let o(a) be the second derivative of a**4\/4 - 29*a - 2. Determine l(o(f)).\nAnswer: 75*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 66*f**2 + 27*f + 1728. Let a(w) = -5*w**2 - 2*w - 128. Let m(v) = -54*a(v) - 4*n(v). Let k(z) = -11*z - 45. Give m(k(q)).\nAnswer: 726*q**2 + 5940*q + 12150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2 + 1 - 2 - 4*q. Let o(i) = -5*i + 2. Let n(l) = 3*o(l) - 4*p(l). What is n(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 8*y - 12*y + 149109*y**2.\nAnswer: 149109*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52183.27419214 + -52396.87775. Let v = 211.77356 + w. Let q = v - -1.83. Round q to seven decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i**2 + 3*i**2 - 2*i**2)*(0*i**2 + 4*i**2 - i**2) - i**2 - 3*i**4 + i**4 + 4*i**2 as r*i**2 + o*i**4 + x + a*i**3 + p*i and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 4:32 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 134\/256*(-14)\/21. Let l = 1\/64 + h. Let i be ((-3)\/15)\/((-18)\/(-15)). Which is the nearest to i? (a) 0.5 (b) -3\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 163124 (base 7) to base 8\nAnswer: 77065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*r - 10 = 3, -y - 22 = 2*r. Let t = y + 16. Let g be 1*-26*(-22)\/(-44). Is g greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 19*i**2 + 3*i - 39. Give c(19).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-56390 - 418*m + 56390)*(3 - 3 - 2*m)*(-93 - 87*m + 93) to the form o*m**3 + j + b*m + f*m**2 and give o.\nAnswer: -72732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -76, -113, -188, -313, -500, -761, -1108?\nAnswer: -1553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -28 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23.7 + -25. Let w = y - 3.7. Suppose 2*h = 5*h - 3. Put 4\/7, h, w in increasing order.\nAnswer: w, 4\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6*r + 3 - 2 - r**2 + 2 + 0*r**2. What is x(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 21*p + 604 = 18*p, -4*y + 2*p = -604. What is the remainder when y is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 4*n + 1640 - 792 = 800, -3*n - 3 = -23 - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4666*p - 49820 + 136049 = 487505 for p.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*p - 3*p + 2*m, 5*m = 0. Let d be (5 - (1 - 1)) + 0\/(-96). Put -2, d, p, -3 in decreasing order.\nAnswer: d, p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10\/35 - 687\/(-21) is divided by -18*((-6)\/(-4) - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.434259 and 67.448?\nAnswer: 67.013741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 19*v**5\/5 - 11*v**2\/2 - 6. Find the second derivative of p(a) wrt a.\nAnswer: 228*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - -11. Calculate the remainder when -1 - (-67 - 0\/1) is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1626)\/(-54) - 10\/90. Solve -7 = -5*v + 4*m - n, -m - 7 = 3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 2*h - 26, -3*k + 2*k = -4*h - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2. Let g(s) = -2*s + 3*s + 573 - 573 - 8*s. Give g(y(i)).\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1717*u = -1685*u - 800. Solve -u = -m - 23 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 times 54\nAnswer: -1404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 2*c**3 + 1\/2*c**2 + 0*c + 4. Determine h(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14314 - 3?\nAnswer: 14311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 15*u**2 + 4*u - 13. Let t be d(15). Let a = t + -42. Suppose q = 13 + 9. Solve -a*g - 3 = q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 4*i - 9 + 41, p - 28 = 5*i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-3))\/((-2)\/(20\/5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**2 - 359682450*s - 6468573241900125 = 0.\nAnswer: -35968245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1044 + -540. Let u = -507 + n. What is the biggest value in 0.1, 2, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.2, -4, -7 in increasing order.\nAnswer: -7, -4, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1217280 and 45\/65936.\nAnswer: 15824640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6128776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4337031592.0007 - -4337213673. Let h = o - 182098. Let i = -17 - h. What is i rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 3*r - 283 = 0, -34*d + 16*d + 0*r = -21*d + 5*r - 445 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 328*o**3 + 9*o**2 + 30*o - 233. What are the prime factors of t(6)?\nAnswer: 71119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*k**2 + k**2 - 20*k**2)*(-4 - 18*k + 16*k + 16*k) in the form h*k**2 + d + f*k**3 + i*k and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*o - 36, 4*k + 12 - 1 = o. Sort -4, o, 5, -2 in descending order.\nAnswer: o, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 1. Let t(g) = g + 1. Give 3*b(n) - 5*t(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 0*l. Suppose l*k - 4*k = -172. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35588891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-520)\/(-50))\/(((-8)\/(-15))\/(-4)). Let w = b + 108. Let m = 8 + -3. Solve 4*h - w = m*u + 6*h, 2*u - 12 = 4*h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e + 8ee9e?\nAnswer: 8eecc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 182.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (17 + -19 - -4) + -10\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 4765595?\nAnswer: -4765595.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -304*n - 279. Let f(b) = -61*b - 56. Let k(u) = -11*f(u) + 2*z(u). Differentiate k(t) with respect to t.\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62358.\nAnswer: 2, 3, 19, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 46657 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 2)*(-v**2 - 2*v**2 + 4*v**2) + 4*v - 4*v - 2*v**2 + v + 2*v**2 - v + (-2*v - v + 4*v)*(2*v + 2 - 2) in the form f*v**2 + m*v + s and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j**3\/9 + 580*j**2\/3 + 219812*j\/9 = 0 for j.\nAnswer: -179\/2, 0, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n - 6 = 0. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 11. Suppose 8*j = 3*j. Is f(j) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2280364 + 1?\nAnswer: -2280363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*w**3 + 53*w**3 - 38*w**4 - 6*w**2 - 19*w**3 - 3*w**4 + 3 - 3 + (2 - 4 + 4)*(-3 + 3 + w**4).\nAnswer: -39*w**4 - w**3 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1225 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6 and 217?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2 - 3*v + 42. Let g(t) = -2*t**2 + t - 14. Let r(p) = 3*g(p) + x(p). Let z(m) = 14*m**2 + m**2 + 0*m**2. Calculate -21*r(l) - 4*z(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 7:20 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 395279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1336, 1343, 1354, 1369, 1388?\n\"Answer: 2*a**2 + a + 1333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 + -6. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11, -39, -79, -137, -219, -331, -479?\n\"Answer: -l**3 - 21*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3*(14136\/(-14) + (-44)\/154)?\nAnswer: 2, 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2.3. Let x = 4.3 + m. Put 5, x, 1\/6 in descending order.\nAnswer: 5, x, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + 0 - (sqrt(68) + -1 - sqrt(68))) + -3.\nAnswer: -2 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/5 of a minute?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-2 - -1 - -1). Suppose 2*v + 3 = 5*v. Let s be (-34)\/(-14) + v*-2. Are a and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 8858*h - 455208.\nAnswer: -2*(h + 52)*(h + 4377)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 42*i**2 + 51*i + 481. Determine t(-41).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 3\/2*r**2 - 1\/12*r**4 + 2*r + 0 + 0*r**3. Let d(s) be the first derivative of j(s). Let u(f) = -f. Determine d(u(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = g + 5, 2*x + 4*g + 4 + 6 = 0. Let v be (6\/(-3))\/(5\/(-25)). Suppose u + 3*r = v, r + 15 = u + 5*r. Put x, u, 4 in increasing order.\nAnswer: u, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 915, 2135, 3843, 6039, 8723?\nAnswer: 11895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2546503?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 4 (c) -2069\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/15)\/((-3)\/27). Suppose -f*b = -4*b + 6. Suppose 24 = 5*j - b. Solve 2*u = 5*t, 0 = 5*u - 3*t + j*t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 9:24 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1017.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1336196259 is divided by 340.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24535 - 24536. Sort -594, k, -2, 2\/7, -5 in decreasing order.\nAnswer: 2\/7, k, -2, -5, -594","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 20.23. Let r = 1.230251 - s. Round r to 5 decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 167787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-10)\/25)\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -310*k**3*t + 46046*k**3 + 25*k**2*t - 21*k**2 + 30*k*t**2 wrt t?\nAnswer: -310*k**3 + 25*k**2 + 60*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -484802120 by -22.\nAnswer: 22036460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*t + 106 - 94, 4*u = 2*t - 4. Which is the fourth smallest value? (a) 2 (b) 2\/9 (c) t (d) -10\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -775 - -520. Let f = r - -257. Solve -14 + f = 4*a + 2*w, -4*w - 20 = 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/18 + 2\/4. Which is the nearest to 1? (a) 1\/9 (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 7 (b) 15 (c) -0.1 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 9 + (-5 - -17) + -3?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3816080, 3816081, 3816082, 3816083, 3816084, 3816085?\n\"Answer: c + 3816079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 177.1 - 177. Which is the closest to 1? (a) v (b) 2 (c) -5 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257759 is divided by 377.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 4*n - 2 - 14 = 0, 0 = -5*u + 2*n + 26 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-14) + (-858)\/(-154). Suppose 0 = -h*f + f. Is f less than -2\/439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**3 - 3*i**2 + 7*i - 11. Does 3 divide s(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, w: 4, v: 7}. Give prob of picking 1 v and 1 g.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -51. Let o(r) = -270. Let c(b) = 16*g(b) - 3*o(b). Let z(m) = m - 1. What is -c(h) + 5*z(h)?\nAnswer: 5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3652, -7303, -10954, -14605, -18256?\nAnswer: -21907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014871285 rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-36) + 1455814\/(-288). Let c = -5052 - z. Calculate the common denominator of c and 35\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o. Let m(d) be the third derivative of d**4\/24 + d**2 + 78. Calculate x(m(h)).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 5*j**3 + 4*j + 13. What is the first derivative of g(f) wrt f?\nAnswer: 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.6, 86\/33, -1, -53, -3 in increasing order.\nAnswer: -53, -3, -1, 86\/33, 4.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*(-5)\/(-15)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -840796 and -45.\nAnswer: 37835820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 49*y**4\/3 + 2057*y**3\/6 - 2177*y**2\/6 + 11*y\/3 = 0.\nAnswer: -22, 0, 1\/98, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6528595 by 89.\nAnswer: 73355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -503, 4, 2\/3, 2, -749, 2\/17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 714333 is divided by 357137?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 3860775 and 3860778 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -11 (c) 0.44 (d) -0.08 (e) -0.5 (f) 4 (g) -0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 106*x**3*z**2 + 5*x**3 + 2*x**2*z**3 - 2*x**2 - 3*x*z**2 - 2*z**3 + 375*z**2 - 2*z wrt x.\nAnswer: 636*x*z**2 + 30*x + 4*z**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -466, -925, -1388, -1855?\n\"Answer: -2*t**2 - 453*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7373 - -7279. Put q, -1\/4, -16 in descending order.\nAnswer: -1\/4, -16, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27289 - 27271.697. Let u = z + -0.303. Which is the smallest value? (a) 5 (b) u (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12299 divided by -1\nAnswer: -12299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (8 - (-7 - (-9 + 4)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 787, -0.468?\nAnswer: 787","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 6\/13 (b) -2\/5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.08 (b) 44 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0254 - -0.3254. Which is the third smallest value? (a) -14 (b) 11\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -n + 5*f, -f = 4*n + 2*f - 36. What is the remainder when -94*(-3)\/6*1 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -3*d - 2*h, -3 = -3*d + 3*h - 12 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 7*o - 252 = -270, 0 = -2*x + 3*o + 4. Let p = -29 + 29. Which is the closest to x? (a) -1\/11 (b) -1\/10 (c) 4 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.8701714 weeks?\nAnswer: 526279662720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6259267?\nAnswer: 7, 894181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4\/4 - 638923*c**3\/2 + 5111403*c**2\/4 + 958383*c - 5750325 = 0. Calculate c.\nAnswer: -1277850, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 + -17 - 19 - -5) + 40.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v. Let x(i) = 2*i + 3. Let k be x(5). Let q(b) = -92*b - 84. Let z be q(-1). Let d(a) = 8*a - z*a + k*a**2. Determine d(f(g)).\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8939 - 1396. List the prime factors of o.\nAnswer: 19, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 205 + 198 = 0. Solve -o - i = -6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 - 2*z**2 - z - 1. Let u be y(2). Calculate the greatest common factor of 40 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2177497?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2823.3 rounded to the nearest one hundred?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 412.4 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 4*c - 732. Determine g(-29).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3338997 is divided by 2112?\nAnswer: 2037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 78436.43 weeks?\nAnswer: 549055.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -16*s**2 + 15*s - 3*s - 27 + 39. Let i(o) = -o**2 + o + 1. Give 24*i(d) - 2*m(d).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 347, 343, 339, 335?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 0.6, 5, 4, -13\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1500 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/10 and -97\/310.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*i + 3*i - 6*i + 4*i.\nAnswer: -17*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 231\/70 - 14\/20?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -5. Suppose -2*o = u*a - 21, 3*a + 7*o - 2*o = 30. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 21 = -9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x + 53 - 83 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l + 20 = -15*l. Solve l = 4*d + 5*m - 18, 0 = -2*d - 4*m + 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5 = 1. Suppose -3*v = 2 - 11. Solve 2*q + v = -l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 27 = -3*n - 3*i, -n = 2*i - 10. Suppose -7 = -n*o + 1, 2*o = -m + 20. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*f**2 + 87*f**2 + 63*f**2 + 35*f**2 + 63*f**2.\nAnswer: 278*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -6*o + 3 + 77 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h - 3*h + 2*h + (-1 + 2 + 1)*(4 + h - 4)*(112 + 138 - 388) as v + d*h and give d.\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1604629 (base 12) to base 7\nAnswer: -53065002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 37 - 49 - 349*f + 45.\nAnswer: -349*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 10:00 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 230 - -69. Let u = -298 + w. Calculate the lowest common multiple of (2\/4)\/(2\/16) and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -272.5 - -261.4. Let p = -0.53 - -12.13. Let n = a + p. Sort -25, n, 2\/21 in increasing order.\nAnswer: -25, 2\/21, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 225 and 700.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 716083133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -13*l**2 + 7*l - 2. Let k(x) = -6*x**2 + 4*x - 1. Determine 9*k(d) - 4*t(d).\nAnswer: -2*d**2 + 8*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -2\/3, 6\/7, 4?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-5\/3)*o*o**(-1\/2) assuming o is positive.\nAnswer: o**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/12? (a) -1 (b) 2\/15 (c) -29.17 (d) 5 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 - 1101?\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from {g: 1, y: 3, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y**3 + 4*y**4 - 8*y**4 + 3*y**2 + 2 - 1 + y**4 in the form c*y**3 + q*y + m + t*y**2 + h*y**4 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1116.32 + -531553\nAnswer: -532669.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t + t - 2*t + (2*t - 5*t - t)*(1 + 0 + 0))*(-4*t**2 + 11*t**2 + 14*t**2) in the form b*t**3 + y*t**2 + c*t + w and give b.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14251969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 99856291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(133))\/sqrt(7) - (sqrt(19) - -5*(sqrt(19) + -1))) + 4 + (sqrt(1216) - (5*(sqrt(1216) + -1) - sqrt(1216) - sqrt(1216)) - sqrt(1216)).\nAnswer: -33*sqrt(19) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.700644km in meters?\nAnswer: 6700.644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h = 27*h - 15. Let g(s) = -9*s**3 + 6*s - 3. Let n(d) = 5*d**3 - 3*d + 1. What is h*n(p) + 3*g(p)?\nAnswer: -2*p**3 + 3*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 6.9, -2129?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -323 (base 6) to base 2\nAnswer: -1111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-4\/9))\/(((t*t**38)\/t)\/t))**(2\/147) assuming t is positive.\nAnswer: t**(-640\/1323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -236.1373888 rounded to the nearest integer?\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 11*f**2 + 3*f - 3. Is r(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 844141178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 604944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*v - 106029 = -105543 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c + 3*b = 26*c - 2386, 3*b + 2987 = 5*c. What are the prime factors of c?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from sssssssssssssssstss.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 23*u**4 - 1593*u**3 + 6279*u**2 + 5945*u - 1950 = 0.\nAnswer: -1, 6\/23, 5, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w**2 - 1877*w + 19591. What is n(302)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 161201806?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3b5 (base 13) to base 9\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 8:57 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12304000 (base 5) to base 9\nAnswer: 201520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 608851 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in -43, 0.3, 2?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/160 and 69\/160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**4\/2 - 51*w**3\/2 - 45*w**2 + 534*w - 660 = 0.\nAnswer: -11, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217 and 5887.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3375*q**2*x**2 - 333655*q**2*x + 2*q*x + 2*q - 335*x**2 + 1 wrt x.\nAnswer: -6750*q**2 - 670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 12*a**2 - 16*a - 17. Let m be l(-11). Suppose -113 = -5*c - m. Calculate the highest common divisor of c and 405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/5745)\/(2\/(-72)). Let v = -27815\/2298 - q. Find the common denominator of v and 73\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*(-40)\/(-5)*135\/90.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-56)\/(-2)*1\/4. Suppose 5*p + y - 7 = 0, 4 + u = 4*p - y. Suppose -5*g = 25, p*k - k - g - 15 = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-10\/9)*t\/(t*t**(-10))*t*t\/(t*t*t**(-8)*t)*(t*t*t\/(t\/(t\/(t*t\/(t*t\/(t\/(t*t**(-2\/49)*t)))))))\/t assuming t is positive.\nAnswer: t**(8753\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24.7 * -8.29971.\nAnswer: 205.002837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 61 (base 14) to base 6\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2 (b) -0.075 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3246093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*d + 2, 4*d = -z - 38. Let o = z + 53. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(5) + 3)**2 + (-1*(2 + sqrt(5)))**2.\nAnswer: -2*sqrt(5) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 46*f**2 + 4. Let p(u) = -5*u**2. Calculate p(r(o)).\nAnswer: -10580*o**4 - 1840*o**2 - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v**2 + 4*v. Let g(d) = -22*d**2 - 14*d. Let w(p) = 14*b(p) + 4*g(p). Let x(f) = 6*f**2. Determine x(w(m)).\nAnswer: 600*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 10*v**3 - 15*v**2 - 55*v + 30 = 0.\nAnswer: -2, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 107060047 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -7\/30*x**6 - 14\/3*x**3 + 1\/2*x**4 + 0 - x - 4*x**2 + 19\/20*x**5. Solve n(m) = 0 for m.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-27)\/((-351)\/(-416))).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4019*f**2 + 13564*f**2 - 2901*f**2 + 13479*f**2.\nAnswer: 20123*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 13*t + 25. Give k(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -9*k**4 - 79*k + 37. Find the first derivative of v(t) wrt t.\nAnswer: -108*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z + 125. Let j be p(30). Let b = -317 + j. What is the remainder when 22 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, y: 10, q: 4, d: 1}. Give prob of sequence kdy.\nAnswer: 5\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -31*a**2 + 2 + 3*a**4 + 29*a**2 - 14 wrt a?\nAnswer: 12*a**3 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 11. Suppose -2*l - 10 = j, -25 = h*l + j + j. Suppose 5*i + 5 = 3*i + k, -i = -3*k + 5. Sort i, 3, l in descending order.\nAnswer: 3, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.4 + 13. What is the biggest value in 3\/5, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 119 - 12 + 8987*n - 107. Let a(o) = -2*o. What is w(a(f))?\nAnswer: -17974*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ifqz when four letters picked without replacement from fiziiczqqfiqiifqi.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 116 + 90 - 9*z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2. Let a(c) = -38*c - 54. Let q(g) = a(g) - 4*f(g). What is the tens digit of q(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -98\/49867 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + sqrt(153) + sqrt(153) + -2 + 2 + -5*sqrt(153)*4 - (5 + sqrt(153)*3 + 4)*3)**2.\nAnswer: 4212*sqrt(17) + 104157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1323\/14)\/(-27)*13\/(364\/(-80))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/10 + 12298*j\/5 + 75620402\/5.\nAnswer: (j + 12298)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/5260 and 65\/271416.\nAnswer: 1357080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**7\/420 - k**6\/90 - k**5\/60 - 5*k**3\/6 + 13*k. Let a(n) be the second derivative of m(n). What is a(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -52*x + 33. Let p be 7 - (3 - 1)*5. What is the tens digit of m(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-4 - (-32)\/6). What is the smallest value in 1.2, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t**3 + t - 1. Let x(s) = -4*s + 3*s - 4*s - s - 1. Let w be x(-1). Suppose -3*o + w + 3 = k, k = o + 4. Give q(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46370 = 5*y + 4*w, 4*y - 3*w - 9290 = 27837. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - c + x + 21, -2*x - 30 = -5*c. Let b(h) = 4*h + 1. Calculate the remainder when 83 is divided by b(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26440018 + 7958437434\/301. Let a = o - 2\/43. Is -27 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31.39 + -32. Let c = d - -0.31. Let k be 1\/10 - (-4)\/(-8). What is the closest to k in c, 1\/4, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, r: 2}. Give prob of sequence hh.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10 + 396\/54)\/(4\/258). Are o and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*u = -0*u, 0 = -s + 3*u + 18. Suppose n = 3, n - 85 = -5*q + s*n. Solve -3*h + 5*h + 4 = -3*y, -q = -5*h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2389*a + 1898 + 491 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-1 - 0)*50. Let w be -1 - (g - 2)\/2. Suppose -48 = -4*m + 4*l, 2*l - w = -3*m - 2*m. Calculate the greatest common factor of 56 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101712306 a multiple of 2699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-196)\/(-455))\/7)\/((-4)\/30)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3\/7 - 102*k**2\/7 - 7353*k\/7 + 7452\/7.\nAnswer: 3*(k - 69)*(k - 1)*(k + 36)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 256454 or 256643?\nAnswer: 256454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*l + 4990*l**4 - 5*l**3 - 2*l**2 + 4*l**3 - 4988*l**4 - 2 to the form q + h*l**4 + z*l + x*l**2 + t*l**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4)*4)\/(-25 + 26). Let p(d) be the first derivative of -1\/9*d**6 + 4\/9*d**3 + 0*d + 0*d**r + 8 + 8\/15*d**5 - 5\/6*d**4. Factor p(g).\nAnswer: -2*g**2*(g - 2)*(g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t = -20*t + 24 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 133971411 a multiple of 572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1121145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/(z**(-4)*z))*z*z)**6\/(z**(-14)*z**(-5\/3)) assuming z is positive.\nAnswer: z**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/23872 and 81\/5888?\nAnswer: 2196224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 25. Let k(u) = 5*u + 15. Does 30 divide k(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*(-3 + sqrt(1900) + -6*-2*sqrt(1900) + (sqrt(1900) - (sqrt(1900) + 2*sqrt(1900)))*4))**2.\nAnswer: -10800*sqrt(19) + 1710324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6.445941 centuries?\nAnswer: 7735.1292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3326051350?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 117, 170, 225?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1515 + 9*d + 762 - 6*d.\nAnswer: 3*d + 2277","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-543)\/(-12) + (-3)\/12.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35171042 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 0.85, 1, 4.228, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0184 + -0.5816. What is the second smallest value in 9, -4\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 6*b**2 + 5. Let z be x(6). Suppose 0 = 2*g + z*l - 2*l - 5, 3 = g + l. Solve -g*j = 17 - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*y + 380 = -12*y - 817 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5*(-8)\/(-15)*3 and 3*(-8)\/(-2)*(-2)\/(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 = 2*v + 5*q - 0*q, -3*v + 292 = 4*q. Is v a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m - 8. Let t be i(3). Suppose 2*p - 10 = 4*s, -4*p - 20 = 5*s - 3*s. Let z be (-4 - -10 - p) + 5. Calculate the highest common factor of t and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -9*f**2 - f. Calculate q(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pcvmv. Give prob of picking 2 v, 1 m, and 1 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 69*g**2 - 4*g + 43. Let y be j(-7). Let c = y - 1783. What are the prime factors of c?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -6. Let o = 47 - f. Let i = o - -8. Solve 3*x + y + 4 = 0, x = i*y - 3*y for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -14 + 0*o + 0*o**2 - 3\/2*o**4 - 11\/3*o**3. Find the third derivative of i(l) wrt l.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 16715966370\nAnswer: 16715966372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 5573, -7 in decreasing order.\nAnswer: 5573, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 3 (c) -1\/7 (d) 1217 (e) -12 (f) -212\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 6*k + 2. Let g be x(8). Let p(y) = -y**3 + 5*y**2 + 8*y - 7. Let w be p(6). Let d = w - 3. Solve -5 = h, d*j + 4*h + g = -0*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 41954850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**5\/7 - 246*y**4 - 11993*y**3\/7 + 20756*y**2\/7 + 302160*y\/7 + 78400 = 0. What is y?\nAnswer: -1715, -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -1591256?\nAnswer: -1591256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 489125.\nAnswer: 5, 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10298306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (4 - 1681 - 3 - 4). Suppose 3*f - v = 8*f - 2097, -4*f + c = 3*v. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - -1)*2\/16. Let f = 1.52 - -0.28. Let a = f + -4.8. Put -2\/7, v, a, 0 in ascending order.\nAnswer: a, -2\/7, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2) + -6 + 4 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -465 or -467?\nAnswer: -465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*q - 70*q + 35*q)*(-1 - 8*q + 0*q - 3*q) to the form w*q**2 + x + c*q and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 4*n**2 - 6*n - 3. Let s be o(-5). Suppose -5*j + 4*y = 2, -s*y = 5*j - 0*y - 16. Solve j*r = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*g = -5, 2*m = -2*g - g - 1. Let q be 3\/(-15*25\/(-375)). Solve -2 = m*l + 3*c, 4*c + q = 11 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(4\/(-30)*3). Let p = 7030 - 4836. Suppose p*a - 28 = 2187*a. Solve x*u + a = 7*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33518273911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c + 44 = -107 - 19 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36767 - 1103 = -14*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 - 41?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -1754*y**2 + 3506*y - 2. Calculate z(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**22\/(i**(-14)*i\/(i*i*i*i\/(i*i**14)*i)) assuming i is positive.\nAnswer: i**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*z + 405 + 99*z - 96*z - 787 + 64*z + 385.\nAnswer: 207*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5618 - -5681. Calculate the greatest common factor of 5229 and f.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-18))\/(4\/(-18))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54095 is divided by 1159.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**2 + 19*s - 15. Let x be c(5). Solve d = -3*p + p + 3, 0 = 2*p + x*d - 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 + 86 = 3*a + 3*u + 7, 183 = 5*a + 4*u - 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -0.712?\nAnswer: 0.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 10:37 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -638*w**2 + 104*w**2 - 359*w**2.\nAnswer: -893*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**4 - 343*a**3 + 28185*a**2 + 210875*a + 306250 = 0.\nAnswer: -5, -2, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-1)))**(-40)*(x*x\/(x\/(x*x**0)*x))**12 assuming x is positive.\nAnswer: x**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-5 - 5) + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - 1. Suppose 55 = 17*z - 6*z. Which is the nearest to 1? (a) 0.5 (b) z (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27040 and 30?\nAnswer: 81120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(16)\/(sqrt(8)*-1) - (sqrt(98) - sqrt(98)*1) - (-2 + (sqrt(2) - sqrt(50)) + sqrt(2) + 2 + sqrt(2) + 0))**2*1.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*u - 34*u + 15132. Let h = u + -279. Calculate the smallest common multiple of 484 and h.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 9*r**3 + 6*r**2 - 6. Let f(c) = 3*c**3 + 2*c**2 - 2. Determine 7*f(t) - 2*s(t).\nAnswer: 3*t**3 + 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = -122 + 200. Solve -5*j + i*l = 7*l - 17, 2*l = -j + 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 4, -65 in ascending order.\nAnswer: -65, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 10*t**2 + 17*t - 56. Determine w(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-2)\/1*(11 - 1815\/22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*c - 11, -4*o - 5*c + c = -24. Solve 16 = -o*p + 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 - 6*h - 80. Calculate the lowest common multiple of q(10) and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0365 + -9.4435. What is g rounded to 1 decimal place?\nAnswer: -9.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(((-4)\/3)\/2). Let q be (9\/a)\/(3\/6). What is the units digit of (-7)\/(-3) + 1\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6986 - -23567. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a9 + -5752?\nAnswer: -581b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6\/799 - -6662\/35955. Calculate the common denominator of r and (9\/480)\/(126\/8008).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*r - 1035 = 0, 4*s + 8*r - 13*r = -828. Let k = s + 539. Is 332 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24953?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 + 37 = 4*j. Suppose 3*s - 15 = -3*l, 5*l - j = -0*s + 2*s. Suppose 4*m = a - 6, m = -2*a - s*a + 21. Solve 2*n = -0*n - a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 700 - 213. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k - 2. Let m(f) be the first derivative of f**2 - f + 2. Let u(s) = 4*i(s) - 7*m(s). Differentiate u(w) with respect to w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 11*r**2 - 31*r - 2. Let h be o(-7). What is the first derivative of -269*m + h + 721*m - 269*m + 0*m**2 + m**2 wrt m?\nAnswer: 2*m + 183","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**2\/8 - 27\/8 = 0. Calculate w.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40392, 80955, 121694, 162615, 203724, 245027, 286530, 328239?\nAnswer: 370160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 112415 (base 11) in base 14?\nAnswer: 49274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kiikiiikikkkkkki. Give prob of picking 4 k.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44 - -0.32.\nAnswer: -43.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 1695*b - 6779. Calculate a(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -7\/2*j**2 + 98 - 54*j. Differentiate q(t) with respect to t.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 1. What is g(13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 0*z**3 + 2*z**2 + 0*z + 1\/264*z**4 + 0 + 1\/660*z**5. Solve c(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*s = 12, -6*m - 33 = -4*m + 5*s. Let h = m - -16. What is the highest common factor of 132 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/15, -0.1, -82, 4\/19, 15, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, v: 3, t: 2, q: 6, c: 2}. Give prob of picking 2 q and 1 v.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*v = 54779, -20*v - 109563 = -4*q - 25*v. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6949303?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooorohhoohioaroh. Give prob of picking 2 o and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 8. Let p be n(-6). Suppose -g = -p*g + 15. Let w = -5 - -8. Solve 0 = w*a - g*a - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1816, -2, -5, 12, 1, -3, 26 in descending order.\nAnswer: 26, 12, 1, -2, -3, -5, -1816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 11*y - 13. What is h(11)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -197 (base 13) to base 14\nAnswer: -16d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21377?\nAnswer: 21377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**3 + 20 - 18 - 12 + 6*w**2 - 4*w - 3*w**3 - w**2. Calculate m(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**3 - p**2 - p - 1. Let f be l(-1). Let z(c) = 4*c - 1. Let k(u) = -4*u. Let j(d) = 4*k(d) + 3*z(d). Does 8 divide j(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 h, and 1 r when three letters picked without replacement from {h: 4, j: 1, z: 3, r: 2, d: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -634 + 641. Let d be (1 - 3)*u*(-1)\/2. Let v(n) = n**3 + n**2 - 4*n - 4. Let h(s) = -2*s**3 - 2*s**2 + 7*s + 7. What is d*v(c) + 4*h(c)?\nAnswer: -c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**2\/8 + 27*s\/4 = 0.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1810, 1760, 1368, 634, -442, -1860?\n\"Answer: -171*d**2 + 463*d + 1518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59\/71, -2\/37, 11\/10, -1 in ascending order.\nAnswer: -1, -59\/71, -2\/37, 11\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -694212292 and 0.2?\nAnswer: -138842458.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3311 divided by 43.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 3:17 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128 by -129293.\nAnswer: 128\/129293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 335 - 225. What is the greatest common divisor of k and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(44 + -42 + 1*4). Suppose 4*c = 2*y + 3402, 3*y + 3412 = 4*c - y. Let m = -11030\/13 + c. Is m less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/143 - (-320)\/2418)*-3?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 376 - 370. Let f(q) = q**2 - 4*q + 7. Calculate f(w).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -61*a**2 + 4*a - 30. Let r(z) = -3*z**2 + z - 5. Let d(h) = -p(h) + 6*r(h). Let i(b) = -5*b**2. What is d(i(s))?\nAnswer: 1075*s**4 - 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*q + 15*q - 22*q.\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/5994 and -41\/777?\nAnswer: 41958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 e, 1 d, and 1 s when four letters picked without replacement from edsasadxhxahxsae?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 20*s**2 - 1. Let u be d(1). Let a = u - 21. Which is greater: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -447*p = -440*p + 7882. Is p bigger than -1127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**3\/3 + 3*p**2\/2 + 22*p - 3509. What is s(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 30, 5 in decreasing order.\nAnswer: 30, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a + 2. Let z be 36\/6*((-4)\/(-4) + 0). Suppose i + 140 = 6*i. Suppose -c - z*c = i. Determine g(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 5*w - 1, 3*w - 5 = 4. Suppose 9 + 11 = o*i. What is the second derivative of 5*x - x - 2*x**i - 6*x wrt x?\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j**3 - 231*j**2 - 7*j. Let r(t) = -2*t**3 - 115*t**2 - 3*t. Determine -9*r(i) + 4*y(i).\nAnswer: -2*i**3 + 111*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 43\/3 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 1. Find the second derivative of 2*i + 0 - 1 + u + 4*i**4 wrt i.\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 13*r**2 - 2*r - 9. Let w be a(13). Let b = w + 53. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 702, 700, 712, 750, 826, 952, 1140?\nAnswer: 1402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 157068?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1075636 or 1075635?\nAnswer: 1075636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -221 or -222?\nAnswer: -222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -83201 and 23.35120736.\nAnswer: -83177.64879264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*o**3*u**2 + o**3 + o*u + 124*u**2 wrt o.\nAnswer: -18*o**2*u**2 + 3*o**2 + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 226 + -206. Calculate the highest common factor of 1360 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/(sqrt(12)*2))\/(-1*sqrt(98) - sqrt(2)) + (sqrt(208)*3 + sqrt(208) + sqrt(13)*2 + -3)**2.\nAnswer: -1729*sqrt(13)\/16 + 4221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b + 23*b**3 - 53*b**3 - 3*b**2 + 29*b**3 - 1 to the form s*b**2 + d + m*b + o*b**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -11 + 6 + 6 + 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y - 9*y + 16*y. Let j(q) be the second derivative of 0*q**2 + q + 1\/3*q**3 + 0. Give l(j(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6328 (base 10) to base 6.\nAnswer: 45144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3743425.67 to the nearest 1000.\nAnswer: 3743000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56881265 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microsecond in nanoseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/7)*(w**(-2\/9)\/w)\/w)\/(w\/(w\/(w*w*w**(2\/5)*w)))**37 assuming w is positive.\nAnswer: w**(-39922\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2028 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878116955?\nAnswer: 5, 29, 6055979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 317163 to the power of 1\/2, to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.148 - 23.948. Let p = x + 26.8. What is the third biggest value in p, 0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 96*y**2 - 22321*y + 2551. Determine s(-109).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-23\/2))**(-2\/7))**38 assuming j is positive.\nAnswer: j**(874\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -204772 take away 378874?\nAnswer: -583646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 145990 - 103163. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -13*t**3 + 43*t**2 - 6*t - 6. Let a(x) = 2*x**3 + x**2 + x + 1. What is -6*a(c) - p(c)?\nAnswer: c**3 - 49*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.475 + 0.075. Which is the third smallest value? (a) -2\/51 (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**6\/120 + o**5\/80 - o**4\/16 - 5*o**3\/24 - o**2\/4 - 4*o. Factor w(j).\nAnswer: (j - 2)*(j + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 390841 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 3*y + 4. Let d be q(-3). Solve -d*b = 2*h - 24, 17 = -0*h + h + 3*b for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-798))\/((-61)\/(1708\/(-8))).\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 0 (c) 0.041 (d) 4 (e) -90\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12165 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onx when three letters picked without replacement from xnlrxnnrorxnx.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 53*d - 10. Calculate the remainder when t(11) is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2662)\/132 + (19\/(-190))\/(6\/(-10))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a + 6 = 0. Let b be (-46)\/(-14) - (-2)\/(-7). Suppose a*h = b*s + 15, 13 = 4*h - s + 2. What is the second biggest value in -8, -5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16525262 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.100884l?\nAnswer: 4100.884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 584666 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -356\/5, -0.5, 1.\nAnswer: -356\/5, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 10, r: 9}. Give prob of sequence xxr.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -8. Let c = -6 + z. Suppose 2*g + c - 5 + 3*g**3 + 0 + 7*g**2 = 0. Calculate g.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -1 - 3*n + n**3 - 153*n**2 - 162*n**2 + 470*n**2 - 158*n**2. Let u(d) = 2*d**2 + 4*d + 3. Let v be u(-2). Give j(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.44*3.\nAnswer: -4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhuhhuhhhh. What is prob of sequence hh?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 10*c + 152. Let m be h(10). Let w = 356 - m. Calculate the greatest common divisor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -94\/474045 and -161\/25740?\nAnswer: 5688540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(((-27)\/30)\/9). Let n(t) = -t**3 - 10*t**2 - 12*t + 20. List the prime factors of n(j).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**4\/2 - 2*r**3 + 1746*r**2. What is w(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0021198397 to 4 decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.5833246 to 1 dp.\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((144\/(-720))\/(20\/16 + -1))\/(4\/110)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -140497304589143 and 4.\nAnswer: -140497304589139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -14*k**2 - 2*k + 3. Let v(x) = 28*x**2 + 4*x - 5. Let a(f) = -7*i(f) - 4*v(f). Suppose b - 2 + 3 = 0. Give a(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -8*z**3 - z**2 + z - 1. Calculate i(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 154.5 + -155. Let p(q) = -q + 4. Let x be p(5). Let k be x - 1\/(-6)*2. Which is the second biggest value? (a) -0.3 (b) j (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14*(3\/(-6))\/(-1). Let h = i - 6. What is the remainder when 3 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 237791 - 237806.5057. Let x = 15.57 + i. Round x to 3 dps.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 2527.2591.\nAnswer: 7581.7773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 67?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-8)*0 - -2. Let q(c) = -c**3 + 11*c**2 + 11*c - 11. Let n(o) be the third derivative of o**5\/30 + o**4\/12 - o**3\/3 - o**2. Give z*q(l) - 11*n(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17751335*v**2 - 22742958 with respect to v.\nAnswer: 35502670*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**3 + 3337*s**2\/3 + 164521*s\/3 + 406380 = 0 for s.\nAnswer: -2605\/12, -52, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 55*b**2 - 60*b + 5. What is the remainder when o(-3) is divided by 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3448 or -3263?\nAnswer: -3263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1497416718 less than 9009?\nAnswer: 1497425727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 73 - 67. Let u = 2 - -6. Suppose -3*j + u*j = 20. What is the highest common factor of j and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 3332?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.97 - 16.03. Let r = 0.5 - 0.8. What is the fourth biggest value in g, r, -4, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 3 - (1 + 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 3, p: 3, x: 2, s: 2, g: 1}. Give prob of picking 1 g and 1 n.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -19*c**3 - 17*c**2 - 14. Let u(r) = -6*r**3 - 6*r**2 - 5. Determine 17*u(a) - 6*w(a).\nAnswer: 12*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 162 = 99 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 72\/35192465 and -23\/25.\nAnswer: 175962325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1319462?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -117 + 67 + (0 - (0 + -2)). Let g = 31 - 83. Let t = y - g. Let p(u) = u**2 - 7*u + 6. Calculate p(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -137754 and -137754 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (49 + -3)\/((-2)\/(-1)). Suppose 0 = -b - 5*l + x + 4, l - 32 = -4*b. Suppose 0 = b*m - 2*m - 60. Calculate the remainder when m is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -108847115629.78200058 - -108847114388. Let a = -1241.78 - h. Let s = -0.002 + a. What is s rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, -214, -318, -418, -514, -606?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2581*u - 2661*u + 8115*u - 2660*u - 214*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 7684 and 4.3.\nAnswer: 7688.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 2*z + 0*z - 10 = 0, -12 = f + 5*z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-4) + (-429)\/44. Let m be (-12)\/t*(-70)\/(-28). Suppose -4*p - m*p = -3143. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232038158 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 277*d - 25. Give s(-1).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 8*k - 10. Let l be c(-6). Suppose -h + 424 = 2*w + l*h, 226 = w + 5*h. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 times -52\nAnswer: 13.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -1083*c + 15. Let k(n) = 542*n - 8. Calculate -11*k(w) - 6*q(w).\nAnswer: 536*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from lxyyylyylx?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-34)\/(-14) - (7 + -4). Let d = 14373 - 14374. What is the nearest to d in 0.2, k, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29907.\nAnswer: 3, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1783924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + sqrt(128))*1*2)**2.\nAnswer: 18432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/180 and 62\/28325.\nAnswer: 1019700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/91 - 11\/(-13). Let a be (-4)\/10 + 255\/75 + x. Let m = 9 - 4. Solve 4*s - a = m*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, h: 5}. What is prob of sequence nnh?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2353*h**4*s**3 + h*s**3 - h*s - 12*h - 8*s**3 wrt h.\nAnswer: 28236*h**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19278 < 19306?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3413 (base 7) in base 6?\nAnswer: 5415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1922871 and -0.5?\nAnswer: 1922870.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1304*m**2*z**4 + 52*m**2*z**2 - 10237*m*z**2 + 3*m + 123*z**4 - z**3 wrt z.\nAnswer: 31296*m**2*z + 2952*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.218 + 3.2. Let j = -0.0180033 - v. What is j rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l - 3*v - 171, -3*l = 3*v - 189. Suppose 3*m + 96 = 5*m. Suppose 0 = 5*c - 3*c - m. Calculate the greatest common divisor of l and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2759\/200 + -111\/8. Sort 9, -2, -0.3, k in ascending order.\nAnswer: -2, -0.3, k, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 - 3 - 2*p**3 + 4 + 5*p**2 to w*p + r*p**3 + u*p**2 + d and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 76 = -2*y. Suppose 5*v - y = 36. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 489463, 978916, 1468373, 1957834, 2447299?\n\"Answer: 2*y**2 + 489447*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 9 + 19)*(-u**3 + 2*u**4 + u**3 + (-2*u**2 + 0*u**2 + 0*u**2)*(-2*u - 2*u**2 + 2*u)) in the form f + b*u + j*u**4 + y*u**3 + w*u**2 and give j.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 9265\/924?\nAnswer: 9265\/924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 635343, 635394, 635445, 635496?\n\"Answer: 51*t + 635292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/4662 and 193\/19530.\nAnswer: 722610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 5 - ((10 - 20) + 11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b - 33*b + 24 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2589, 2587, 2585?\n\"Answer: -2*b + 2591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by (8*(-15)\/600)\/((-2)\/(-445))*-2.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5300102.\nAnswer: 2, 37, 67, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 313 - 683. Suppose -q = b - 2*b. What are the prime factors of b?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-15))\/(11 + (-17793)\/1485 + 1)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 8*j + 178 = 3*j, -2*j + 21814 = 3*o + 21875 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024.2333 rounded to the nearest integer?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**2 - 675*y + 8013. Give g(156).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12585177*w**3 - 3*w**2 - 2624*w + 7 wrt w?\nAnswer: 75511062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000045940802 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i + 2. Let c(v) = -v - 1. Suppose 2*k = -5*g + 11, -16 = -g - 3*g + 2*k. Let s = g + -8. Let p(j) = s*c(j) - q(j). Differentiate p(h) wrt h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*h = 60, -q - h - 2*h + 12 = 0. Suppose 0 = -3*c + 47 + 52. Calculate the remainder when c is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 + -4)\/(23\/4002) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5629?\nAnswer: 13, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29731370 and 15150?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 69. Calculate the remainder when z is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11793691 less than -33?\nAnswer: 11793658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 2*a + 0*a)*((-2*a**2 + 2*a**4 + 2*a**2)*(-5 + 0 + 4) - 2*a**4 + 3*a**4 - 2*a**4).\nAnswer: 6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -138.92 * 1.8.\nAnswer: -250.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.2 + 1. Let p = -31.7 + 47. Let n = -15 + p. Which is the nearest to -2\/7? (a) 0.4 (b) n (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 169 - 71. Let w = -143 + r. Let g = w + 45. Which is the closest to g? (a) -2\/3 (b) -4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 3:38 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*w - 941 + 4193 = 0 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4440 and 51948.\nAnswer: 519480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2309.6*-0.21.\nAnswer: 485.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/15)\/((-10)\/50).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*c + 97*c - 20 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 255849 or 1279244\/5?\nAnswer: 1279244\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 4. Suppose q*f - 3*o - 19 = o, -4*f + 23 = -3*o. Let z = f - -9. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 64*a*p**3 - 2*a + 294985*p**3 - 51495506 wrt p?\nAnswer: 192*a*p**2 + 884955*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 4*c**3\/3 - 13*c**2 - 3*c + 112. What is the units digit of m(18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.022 * -6.\nAnswer: -0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7705403670 + -83321.\nAnswer: 7705320349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/(5\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*m**2 + 3727047*m - 7454262.\nAnswer: 3*(m - 2)*(14*m + 1242377)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.046 - 26.954. Let q = -28.3 - i. Let k = 1.2 + q. Which is the biggest value? (a) 1 (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -888 > -888?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -724 - 529 - 2*y**3 + 761 + y**2 + 3*y**2 - 4*y**2.\nAnswer: -2*y**3 - 492","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 44 (b) 4 (c) 2 (d) -5\/2 (e) 1\/10 (f) 0.5 (g) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 514.7 - 484. Let z = g - -10.3. Let d = z - 40.998. What is d rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyoxy. What is prob of picking 2 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131968?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 5, 3, 25 in descending order.\nAnswer: 25, 5, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 1. Let m be u(-6). Let x = 1 - 0.3. Sort -3\/7, x, m in descending order.\nAnswer: x, -3\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3597966?\nAnswer: 2, 3, 66629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -475*y + 5250 = -125*y. Let l(h) = h**3 + 3*h**2 - 5*h + 2. What is the remainder when l(5) is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/12 - 9\/(-4). Suppose 3*p = -6, 4*m - 3*p - n - 20 = 0. Suppose -6*c + 4*c = -6. Solve -c*i + m*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 19624357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 65*f**4\/12 + 5*f**2 - 149*f. What is the hundreds digit of p(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17755, 35347, 52783, 70063, 87187, 104155?\nAnswer: 120967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -4, -5 in descending order.\nAnswer: -4, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000160282018 to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16325\/21 - 5463\/7. Calculate the common denominator of (-1303)\/(-210) + 52\/(-91) and j.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 4*s - 3*m, -2*s - 11*m + 33 + 30 = -s + s for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 292512884 to the power of 1\/3, to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 58 - 47 = 20*s. Sort s, 246, -4\/3.\nAnswer: s, -4\/3, 246","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.3, 5, -1\/2, -5.7, 0?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 + 3.75. Let c = -3 + j. Put 4, c, -0.3 in increasing order.\nAnswer: -0.3, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 v, and 2 y when four letters picked without replacement from {v: 1, y: 4, f: 1, m: 2, i: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by (-219)\/(-292) + (-130)\/(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -234 + 2572\/11. Which is smaller: t or 0.21?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5932 - -5928. Which is bigger: p or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 10) in base 8?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2008*p + 7*p**2 - 3*p**2 - 2006*p - 588 as w + r*p**2 + x*p and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-10 - -22 - (6 + 2 - 11)) + 79.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 24 + -46 - (-1 - 14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 110320131?\nAnswer: -110320131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*m = 10, -4*y + 3 = -m + 6. Let h be ((6\/y)\/(-9))\/((-3)\/(-225)). Put -5, -4, h in descending order.\nAnswer: h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/56697388 and -125\/806124.\nAnswer: 170092164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4.275, -0.2, 3735.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 319 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 r when three letters picked without replacement from srrsrsr?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -2*g - 3. Let w = -8 + g. What is the remainder when 81 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110000111 - -1011?\nAnswer: 111110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**7\/2520 - 7*j**6\/720 + j**5\/24 + 13*j**4\/24 - 12*j**2 - 6*j. Let q(w) be the second derivative of a(w). What is q(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 15*t - 4*t.\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 50400 = -5*p + 50311, -p - 22 = -4*t for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -9*d - 594. Let x be p(-67). Solve -3*c = -x + 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (222 + -267)*((-8)\/3)\/(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/66)\/(86\/946). Determine a so that -8\/9*a**2 - 2\/9*a**5 + 8\/9*a**4 - t*a**3 + 0 + 8\/9*a = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 27*h + 1228. Calculate f(-45).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t**5\/4 + 31673*t**4\/4 + 6524275*t**3\/4 + 340252055*t**2\/4 + 80209396*t - 166911397 = 0. Calculate t.\nAnswer: -31466, -103, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -0.2, 392, -0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 + x**3 + 5*x + 5*x**2 + 2*x - 5. Let g = 132 - 126. What is the units digit of b(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13352 is divided by 257?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2416 is divided by 379?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f + 1. Let r be d(-2). Let b(p) = -p**3 + 26*p**2 - 21*p + 82. Let z be b(22). Suppose -1945 = -r*g + 2*k, -2*g - 2*k = 2*g - z. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4809*r**3 + 4831*r**3 - 40*r**2 + 43*r**2.\nAnswer: 22*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-6))\/o**(-2\/5))\/((o*o**0*o)\/o**6) assuming o is positive.\nAnswer: o**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 283 - 283. Solve -q - 2*c = k, 2*q + c - 2 = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/17)*p)**(-6\/11) assuming p is positive.\nAnswer: p**(-90\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48995?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 680.8837 tonnes?\nAnswer: 680883700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 366080.3km to micrometers.\nAnswer: 366080300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/1347 (b) 1.7 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(15\/(-21) + 1). Let n = 41 + -46. Which is the nearest to r? (a) -2 (b) n (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwss when four letters picked without replacement from {w: 1, s: 2, k: 1, l: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 177*c + 182*c + 45 = 0, 2*s + 9 = -c for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 5045563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22, -42, -80, -142, -234, -362, -532, -750?\n\"Answer: -m**3 - 3*m**2 - 4*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66777 - -66812.977. Let z = -36 + i. Round z to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65 and 117.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/((d\/(d*(d**(-1)*d)\/d))\/d))*d)\/(d**(-1)\/d))\/((d*d**4)\/d**0) assuming d is positive.\nAnswer: d**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 7 + 638*o**2 - 161*o**2 + 7.\nAnswer: 477*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) -23.591 (c) 2 (d) 1\/10 (e) 4 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 2*v + 141, 34*v - 1236 = p - 1085 for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 12:07 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -75.81 - 16993\nAnswer: -17068.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -188 + 187.7. Suppose -2*m + 39 = 37. Which is the nearest to 0.2? (a) -2 (b) z (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*p - 5332 = 0, -30*p + 29*p = 4*b - 5348. Does 180 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 + 13*o**2 - 4*o + 32. What is the least common multiple of 69 and g(-7)?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.99 + -1. Let g = -81.99 + 87. Let w = r + g. Which is the closest to 1? (a) -5 (b) 0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4517*s**3 - 9*s - 629. Let i(h) = 2255*h**3 - 4*h - 315. Let n(u) = -9*i(u) + 4*z(u). Differentiate n(a) wrt a.\nAnswer: -6681*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89522.87 millilitres in litres?\nAnswer: 89.52287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4\/14)\/((-3460)\/(-6055))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*l - 3*m = -153*l - 31, -5*l - 2*m - 33 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 302*i**3 + 926 with respect to i.\nAnswer: 906*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, s: 8}. Give prob of picking 3 s.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -3 in descending order.\nAnswer: 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 13. Let x be o(-12). Which is bigger: 14 or x?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229738*x - 243 = -229765*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + (-3 - (-8 + 5 - 6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6*a**3 - 4*a + 4. Let x(k) = k**3 - k**2 - k + 2. Calculate -4*x(h) + z(h).\nAnswer: -10*h**3 + 4*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 9:22 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 9*i - 8. Suppose 2*g - 29 + 1 = 0. Let s = -22 + g. Let k be o(s). Solve -2*q + 3*q = -b - 7, k = -q + 5*b + 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 0 + -1 + (-23 - -33)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2323629, -10 in decreasing order.\nAnswer: 2323629, 4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - f - 573 - 664 = 0, 4*f - 288 = -t. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133.175ug to tonnes.\nAnswer: 0.000000000133175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-3) - (-16898)\/36210.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 44184 (b) -1 (c) 1\/38 (d) 4\/3 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6882, -14070, -21258, -28446, -35634, -42822?\nAnswer: -50010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*p + 55. Let h = p + 7. 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 (-31 - 183 - -12) + 104.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2231020 (base 4) to base 15\nAnswer: -343a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 17*l**3 - 18*l**3 - 35 + 91 + 15*l - 8*l**2. What is the lowest common multiple of r(-9) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5698 = 51*p - 569*p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*w + 0*w - 2*w)*(-2 + 4 - 1) + 0*w - 2*w + w + 75*w + 85*w - 208*w + w - w - w)*(-w - 2*w + 2*w + (3*w - 3*w + w)*(4 - 5 - 1) + 2*w - 2*w + w).\nAnswer: 104*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-66))\/(3\/(-30))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 378105.8 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.6 times 11?\nAnswer: 61.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -93 (c) 0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27\/(-18) + (51\/(-2) - -3). Is 2\/(-3) + (6 - 5080\/r) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 9 = z - 0*j, -j - 9 = -z. Let y = z - 6. Suppose 0 = -2*q - 5*t + 36, -4*q - 5*t + y*t = -72. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 37 + -159067?\nAnswer: -159030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1803\/15 - (-1)\/(-5). Suppose -7*p + l = -3*p. Calculate the highest common factor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 41.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4857650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 73*g**2 + 386*g - 333. Determine w(-78).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49 (base 15) to base 13.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8341804 and 38068.\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 57 - (-11 - (-14 - -3 - 4))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -15f58?\nAnswer: 15f57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**3 - 23829*g + 7 + 7*g**2 + 23832*g - 2*g**2 as y*g + o + v*g**2 + r*g**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3045 is divided by 31?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/3348 and -53\/383346?\nAnswer: 766692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 4. Let x = -49 - -57. Let i = 8.5 - x. Which is the second biggest value? (a) 0.2 (b) g (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80\/3 + -26. Let q = 0.101 - -5.999. Let i = 0.9 + q. Which is greater: i or t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 619?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 8:05 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 10*h**2 - 4. Let c be y(-5). Let f be c\/4995 + 2\/(-9). Let j = 1\/37 - f. What is the nearest to -0.1 in -3, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 5\/2, 4133\/2, 1\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**3 + 5*s**3 - 12*s**2 - 16*s**3 + 12*s**2.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7074.7443us to hours.\nAnswer: 0.00000196520675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-51)\/(-7) - 847\/121. What is the biggest value in 289, v, 0.4?\nAnswer: 289","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxyxyyc. Give prob of sequence pyyy.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3134784 (base 9) to base 5\nAnswer: -412122424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -11 - (-34 - -37).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/812*29*4\/4*-17.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 10:36 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/1577 + 3159\/7885. What is the nearest to o in 3\/2, 28, -22?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*1*(12138525\/294)\/(-367)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**2 + 5*x + 9. Let w be p(4). Is -19 not equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 2*d - 2*d + 76*d**3 + 52.\nAnswer: 76*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -812977\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 11368 = -17*n. Let x = -892 + n. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 500?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33250 + 33250 - 133001 - 303*d**3 + 33249 + 33252.\nAnswer: -303*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 8*m - 27. Let c(t) = 3*t**2 - 11*t - 16. Let h be c(5). Let v be o(h). Which is bigger: -10 or v?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-seven halves of a microgram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, -3, 70, 0.05, 0.317, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1529818 times -623?\nAnswer: 95.3076614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/3)\/(2\/(-4)) - 0. Let x(o) be the second derivative of 1\/45*o**k - 1\/18*o**4 - 4*o + 0*o**2 + 1\/9*o**3 - 1\/30*o**5 + 0. Let x(d) = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -5*w + 7, -21*w + 23*w - 5*o = -1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-15))\/((4\/(-9))\/(8*(-369)\/(-108))).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7785 and 13067955.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -347, -138, 435, 1558, 3417, 6198, 10087, 15270?\nAnswer: 21933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*q**4 - 7683*q**3 + 20436*q**2 - 10212*q = 0. What is q?\nAnswer: 0, 2\/3, 2, 851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -161176.\nAnswer: 161176.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -167*j**6\/360 + 73*j**4\/8 + 58*j**3 + 56. Let a(u) be the third derivative of n(u). What is the derivative of a(t) wrt t?\nAnswer: -334*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 - -19. Suppose 0 - 11 = -g. Suppose -2*k + z = -g. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -5, -3, -80, 5, 7, 2 in descending order.\nAnswer: 7, 5, 2, -3, -5, -41, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2312117939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 0 - ((-445 - 5) + 8). Let i = w + -184. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -3*t**5\/5 - t**3\/3 - 362*t**2 - 32. Find the second derivative of i(a) wrt a.\nAnswer: -36*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*h - 23. Calculate the smallest common multiple of ((-6)\/(-5))\/(3\/10) and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 89. Let p = 88.45274 - -0.05726. Let j = b - p. What is j rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/3860 and -62\/5.\nAnswer: 3860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13613 - 450?\nAnswer: 13133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-170)\/14*(-16380)\/5850.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.6818296 months?\nAnswer: 0.0002234858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15585 > 15583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 643 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 705403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 - -50. Let j = -11 - -8. Sort -5, j, n.\nAnswer: -5, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1586*m = 1663*m + 1771 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/4 - 133\/(-76). Which is the closest to 0.1? (a) -0.1 (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 939351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201450 (base 6) in base 14?\nAnswer: -18b54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2*(sqrt(104) - (2*sqrt(104) + sqrt(104) - sqrt(104) - sqrt(104)))*-2)\/(sqrt(16)\/((sqrt(2) + (sqrt(2) - sqrt(98)))*-4)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/5))**32\/((z\/((z**(-1\/6)*z)\/z))\/z)**(-15\/7) assuming z is positive.\nAnswer: z**(1369\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6917 + 1.\nAnswer: -6916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 769408?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 46*u**2 + 13*u**2 + (3 + 3 - 5)*(u**2 - 5*u**2 + 2*u**2))*(2*u + 3*u**3 - 2*u).\nAnswer: -96*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*r + r + 0*r)*(2 - 3 - 1) + (-4 + 3 - 1)*(2*r + 0*r - r) - r + 2*r - 2*r)*(2 - 4 + 1)*(2994*r - 1608*r + 4016*r).\nAnswer: -5402*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-110)\/15 + 7)\/((-2)\/12). Let j = 9 + -8.2. Let a = j - 0.6. What is the closest to a in -0.5, -1\/7, g?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10 + 9)\/((-1)\/59).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 10*z**2 + 118*z + 99. Let w(f) = 5*f**2 + 60*f + 43. What is -3*k(o) + 7*w(o)?\nAnswer: 5*o**2 + 66*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8791 + -1.5791. Which is the fifth smallest value? (a) 25 (b) p (c) -0.2 (d) -2\/3 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1104 - 1102. Let r = -42 + 25. Let o = 0.06 - 0.16. What is the second smallest value in r, b, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22526 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-2\/3))*q)**39\/(((q**(1\/3)\/q)\/q)\/q*q\/q**(-1)*q*q))\/((q*q\/(q*q**0\/q))**(2\/17)*((q*q**(-2\/17))\/q)\/q*q\/q**(3\/11)) assuming q is positive.\nAnswer: q**(35804\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28555551 and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -397091 * -4\nAnswer: 1588364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x + 0 - 2*x - 2*x**2 + 0 as c*x**2 + k + j*x and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/8*4*14)\/(-2). Is 4*z\/5 + 9\/(-45) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-3)\/48*1044\/(-87).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 + -18416974\nAnswer: -18416970.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16785 + 16787. Calculate the highest common factor of 10238 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 4 + -5 - 11. Let y = d + 26. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 4*m + 42 = -4*g, 0 = 5*m - g + 1188 - 1236 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 21*n**2 + 46*n + 340. Calculate x(-7).\nAnswer: 1047","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.271 + -24.129. Let w = u - -24.3999839. What is w rounded to six dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1766491*d**5*y**2 - 65*d**2*y**2 + d**2*y + d*y**2 + 3*d*y + 3*y**2 wrt d.\nAnswer: 105989460*d**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (6 + -4 - 11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 119783\/18 - 6651. Calculate the common denominator of m and 11\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 5*f - 30*f + 0.\nAnswer: -35*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 6:04 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 572 (b) 0.19 (c) -0.14 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22 + 1)\/(18\/(-12)). What is the common denominator of 6\/n - (-1065)\/(-378) and -23\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86790 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -3*s + 2*t + 2, -2*t = 2*s + 12. Let g be 2 + (s - -15600006)\/(-2). Round g to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2109 and 7353.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -w + 50. Let p = 1 - w. Let u be -7*(-3)\/6*p. Round u to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (6 + -13 + 31 + -30 + (1 - -11)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40468 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 12:45 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7169000 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2 - 5*g + 5. Let j = 16 - 11. Let p(k) = 2*k**2 + 4*k - 4. Let l(f) = j*p(f) + 4*o(f). Let i(u) = -13*u. Determine i(l(m)).\nAnswer: -26*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/(n*n**(1\/2)*n*n))*n*n)**(1\/5)\/(n*n**3*n**(-7)))**(4\/7) assuming n is positive.\nAnswer: n**(86\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 903311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/13911838 and -9\/10?\nAnswer: 69559190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*n = 4*n - 24, -3*n + 23 = 4*w. Let q(u) = -3*u + 2. Let d(t) = 2*t - 1. Give w*q(s) + 8*d(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-2 - 9)) + 7 - 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v. Suppose -3*c - 56 - 82 = 0. Let n = c + 39. Let f be g(n). What is the greatest common factor of f and 252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -83*w + 5. Let m be f(-1). Let g = m - -9. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171 - 142. Suppose 7*a + 1 = t. Solve a*n = 4 + 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + i**2 + 4*i**2)*(2*i**2 + 0*i**2 - 4*i**2 + (0 - 1 + 3)*(-2*i**2 + 2*i**2 - i**2) + 0*i**2 + 3*i**2 + 0*i**2).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l + 1. Let g be x(-4). Let c = 69 + -56. Let a = g - c. Sort 0.5, -1, a in increasing order.\nAnswer: -1, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4*b + 9*b - 1, 3*b + 5 = 2*a. Let w be a\/16*10*28\/2. What is the greatest common factor of 14 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/186273 or 1?\nAnswer: -4\/186273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4 + 47*n**3 - 51*n**2 - 47*n + 49 = 0.\nAnswer: -49\/2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -299 - -299. Which is the smallest value? (a) 1\/6 (b) 0.2 (c) u (d) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -544286, -545069, -545852, -546635?\n\"Answer: -783*n - 543503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6 - 4*q - 5 - 4 - 3 - 3*q + 16*q**2. What is the units digit of k(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 337d (base 14) to base 7.\nAnswer: 35016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q - 1. Let t be w(1). Let y be 26\/t + 6\/9. Solve -h = 4*h + y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/8653?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.058, -5, -0.5, 1.9, -1\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-3) + 0\/(-2). Solve 0 = -4*l - t - 14, r = -3*l - 8*t + 3*t - 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**3 + 2*z**3 - 3*z**3 - 2*z**3.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6bf3 - 25?\nAnswer: 6bce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 135, 0, -3, 2, 9, 3.\nAnswer: -12, -3, 0, 2, 3, 9, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-14)\/2)\/((-7)\/(6 - -8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 358 or 357?\nAnswer: 357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -138. Let x = h - -256. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = h + 2*g + 134, -2*g = -2*h - 210. Let b = h + 191. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-261)*(-41 - -42). Which is bigger: h or 65\/4?\nAnswer: 65\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -3 - 3 - (-546 + 549).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdbbvddubddd. What is prob of sequence dud?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**3 + a**2\/2 - a + 1. Let i(x) = -4*x. Let l be i(1). Let y(j) = -10*j**2 + 4*j - 3. What is l*y(f) + 14*m(f)?\nAnswer: -2*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q - 1221 + 1221 + (-7 - 6 + 7)*(3*q - 2*q + 0*q))*(2 - q - 2).\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3187353 - 2551*k - 3187353.\nAnswer: -2551*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.4149 - -10.\nAnswer: -10.4149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2758 and 3651.\nAnswer: 6409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 75*b + 652. Calculate the remainder when 579 is divided by z(-26).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + -c6d?\nAnswer: -c67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-15)\/(x**(11\/4)\/x*x) assuming x is positive.\nAnswer: x**(-71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 5*f + s - 74, 0 = 2*f + 2*s - 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210240 (base 6) in base 16?\nAnswer: f870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.635 in 82, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1310 or -3934\/3?\nAnswer: -1310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 5. Suppose -3*f - 2*f + 10 = h. Suppose -73 = -3*l - 4*c, -2*l + 99 = f*l + 5*c. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17711383 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*3\/(-4)*16\/(-114).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (-1 + sqrt(128))) + -1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-10))\/(6\/15)*(-171)\/3591\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001010 + 10100101011?\nAnswer: 11000110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1930 divide 1069963050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -10. Suppose 3*m - 25 = -k*u, -4*m = -0*m + 3*u - 26. Calculate the common denominator of -25\/6 and m\/((-400)\/(-444)) - 1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2196 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5924 divided by 235.\nAnswer: 5924\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 5*h + 5. Let q be s(5). Let o be (1*-1)\/(9\/q) + 3. What is the remainder when 50 is divided by (o\/(-12))\/(106\/54 - 2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 925\/4 - 231. Let i = 4 + -3. What is the second smallest value in l, 0.2, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**5\/20 - 11*r**4\/12 + 13*r**3\/6 + 6*r**2 + 61*r + 1. What is f(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 13. Let q(p) = 10*p**2 + p - 1. Let c be q(a). What is the units digit of c\/3 - (-10)\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -38.5 (b) 124 (c) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = z, -4*i + 5*z + 2 - 8 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 24.05. Let f = -0.05 - t. Let m = -1355 + 12193\/9. Which is smaller: m or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 4 + 90*f + 634*f + 11 + 587*f to the form j*f + l and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6369*l**2 + 156*l + 961. Is j(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36308.\nAnswer: 2, 29, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -154 + -21?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a4562688 + -5?\nAnswer: a4562683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18700 * 11.\nAnswer: -205700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24999 + -24988.179. What is c rounded to one dp?\nAnswer: 10.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32236 - -776?\nAnswer: 33234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 1*0\/4. Let r(s) be the third derivative of 1\/6*s**4 + 1\/6*s**3 + v - 2*s**2 + 0*s. Calculate r(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -24*n + 4. Let w be k(-3). Suppose 2*t + 59 = 5*h - 1, 0 = 4*h + 4*t - w. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -163 - 0?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 1. Let r(h) = -h - 8. Let y(v) = r(v) - 6*x(v). Let d be y(1). Solve 0 = d*t + 2*t + 5*g - 5, t + 2*g = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (13 - -34) + -47?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 7. Let j(o) = -3*o**3 + o - 3*o + 0 - 4 + o**f + 5. Let a be j(1). Put -15, a, 5 in decreasing order.\nAnswer: 5, a, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 12. Let z(k) = k**2 + k - 4. Let f be z(-3). Suppose 0*m + 2*m - 4 = -f*q, 4 = -m + 5*q. Suppose -m = -a + 5. Determine o(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6518 is divided by 1158.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -p**2\/2 + p + 107. Let g(u) = 2*u**3 + 14*u - 14. Give -3*g(h) - 42*o(h).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4526 and 1488?\nAnswer: 108624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7484 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.62 - 0.9. Let l = s - 0.02. Which is the nearest to -2\/5? (a) -3 (b) l (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.5, -0.0042552, 0, -3.\nAnswer: -3, -1, -0.5, -0.0042552, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-15)*(30 + -3)*24\/18. Which is the fifth smallest value? (a) 4 (b) 1 (c) -1\/11 (d) j (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*q = -59216, -13*m - 2*q - 23708 = -15*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2771 is divided by 82?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 241993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-316)\/6 - (-20)\/30. Let m = -13 - x. What is the remainder when 77 is divided by m?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14146719 to the nearest integer?\nAnswer: 3761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-2\/17)\/r))\/r**16 assuming r is positive.\nAnswer: r**(-236\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**4 + 2*x**4 + 2*x**4 + 3*x**4 + 2*x**4 - 4*x**4 + 6*x**4 - 2*x**4 - 2*x**4 + (3 - 1 - 1)*(-10*x**4 - 10*x**2 + 10*x**2) + 2*x**4 - 2*x**2 + 2*x**2.\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25073334 to the nearest integer?\nAnswer: 5007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from ngn.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 173 = 2*l, 2*v + 17 = 4*l - 93. Let r be (v + 7)*(-2)\/4. Solve -2*t = 3*t + r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12663, 4, -5\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -276, -475, -596, -639, -604?\n\"Answer: 39*g**2 - 316*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, 36, -3 in decreasing order.\nAnswer: 36, 8, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + -44 + 43 + (1 - 6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -72 + 156. Let f be (2\/(-4))\/1*-24. What is the greatest common factor of f and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.013 + -0.483. Let w = n + -0.03. Which is the second biggest value? (a) -5 (b) w (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24379224 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -2 - ((-4928)\/(-320) + -4 + -10)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 5*g - 4 = 11 - 12 + 1, 315*g = -3*k + 1278 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 3. Let c be 0\/(-3) + 2 + y. Suppose 0*m + 15 = -m + 5*h, 2*m = h - 3. Solve m = -u - 2*u - c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 65 = -165. Suppose -4*p - d = -2*t, -t - 3*p + 68 = -72. Suppose t = -10*v + 15*v. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 22336?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(6*(sqrt(2299) + sqrt(2299)*1 + sqrt(2299) + -2)*3 + 2) + -2)**2.\nAnswer: -42768*sqrt(19) + 6705180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 + 17*g + 6. Calculate y(12).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.28? (a) 1\/3 (b) 5 (c) 0 (d) -1 (e) 4 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 845 and 78715.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -28919400 rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-189)*(-7)\/((-322)\/(-207)))\/(-1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 2*t - 11, -3*t = 4*a - 8*t + 70. Let z(r) = -3*r - 4. Let j(d) = -12*d - 15. Let b(o) = a*z(o) + 4*j(o). Let s(k) = -k**2. Give s(b(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*p - 49*p + 41 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7220581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000139221582 to seven decimal places.\nAnswer: -0.0000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/(-25) - (1 - 1) - 14\/(-10). Let l = 1 - 1.5. What is the fourth biggest value in -14, q, 1, l?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 24612?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -921 in descending order.\nAnswer: 4, -5, -921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21846793 + -75359793. Round f to the nearest one million.\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and (252\/(-21))\/((-21)\/308)?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*f**4 + 2*f**3 + 37193*f**2 + 107*f + 142?\nAnswer: 72*f**2 + 12*f + 74386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 + -91. Let r = m + 1.6. What is the third biggest value in r, -2, 4\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 10*l**2 - 6*l + 55. Let v be h(10). What is the closest to 0.1 in v, -4, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35911884?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6260, -24927, -56028, -99563, -155532?\n\"Answer: -6217*r**2 - 16*r - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217355 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 13*o + 52. Let h be s(-4). Suppose -q + 5*p + 143 = h, 22*q = 19*q - p + 477. Calculate the remainder when q is divided by 41.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065 a factor of 18352080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22 - 0) + -1 + 2. Let j be (-44)\/(-6)*v\/(-14). Suppose -1 = -2*u + j. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(70\/68 - 1). Suppose 64580 = 16*x - q. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2060 + 3?\nAnswer: 2063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15988, 63936, 143848, 255724, 399564?\n\"Answer: 15982*d**2 + 2*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 + -30. What is the second derivative of -9*p + s*p**2 + 4*p**2 + 11*p wrt p?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44114 and 27789902?\nAnswer: 1918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f - 129*f + 67*f + 67*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n + 257 = -35*m, n + 61 = -5*m - 2*n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -13\/291795?\nAnswer: -13\/291795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, g: 7, y: 2}. What is prob of picking 1 g, 1 y, and 2 e?\nAnswer: 21\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(384)*1)\/(-1*-1*sqrt(800)).\nAnswer: 8*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 - -1.98. Let n = -30 - -32. Suppose -4*w - 2*v = -18, w - 3*v - n = -15. Which is the nearest to w? (a) h (b) 3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 8) + (-189)\/(-39). Let p = -0.26 + 4.26. Put z, 0.2, p, 3 in increasing order.\nAnswer: z, 0.2, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, -7, 2, 16, 5 in descending order.\nAnswer: 16, 9, 5, 3, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - -0.52. Let n = q - 1.12. What is the closest to 1 in -2, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -126 (b) 44 (c) -14 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Convert -a74 (base 13) to base 4.\nAnswer: -123321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 - -58. Let t(m) = -2*m**2 - m**2 - m**3 + 7*m**2. Let g be t(r). Solve -5*d = -g*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 1939 + 1957 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/20)\/(1\/55). Suppose -18*w + m*w = 4. Let i = -21 - -32. Calculate the highest common divisor of i and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6722738, 6722737, 6722736, 6722735, 6722734?\n\"Answer: -s + 6722739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 12 (b) -2 (c) 1 (d) 2\/5 (e) 4 (f) -33\/1103 (g) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 222*i - 288*i - 1752 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 23*g - 85. Suppose -5*t - 15 = -v + 3*v, 3*v = 5*t + 40. Let p be n(t). Solve b = -4*c - 19 + 5, 0 = -p*c + 3*b - 26 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7232434 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**5\/20 + y**4\/12 + y**3\/2 - 3*y**2\/2 - 10*y. Determine m(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -1. Let u(x) be the second derivative of -x**3\/6 - 2*x**2 + 100*x. Let q be (-7)\/((-2 + 4)\/(-2)). Give q*h(y) - 2*u(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.68 + -0.6. Let m = 69364.1 + -69364. Which is the closest to -0.1? (a) -0.01 (b) m (c) -1\/2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383*s - 717*s - 145*s.\nAnswer: -479*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2 - 5*c + 5. Let h be g(2). Suppose -h = -4*r + 1. Let j(q) = -q - 2. Let f be j(-2). Put f, 5, r in descending order.\nAnswer: 5, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*v + 55, -v - 2 = -4*k + 2*k. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*t**3 + 41*t**2 + 64229*t wrt t.\nAnswer: -66*t + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 24*v + 6*v**4 - v**3 - 11*v**4 + 22*v**3 + 7*v**4 + 26*v as j*v**4 + l*v**3 + u*v**2 + a*v + i and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 2, d: 3, l: 4, a: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -155, -283, -409, -533, -655, -775, -893?\n\"Answer: n**2 - 131*n - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 73368915 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7918190?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*f - 2, -6 = -3*o - 3*f. Let m be 2 + o + -3 - -3. What is the second derivative of -2*d + 3*d**3 - d + 0*d**m + 2*d**3 wrt d?\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2 + 2754*g - 1896129 = 0. What is g?\nAnswer: 1377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 298*p**2 - 883*p - 586. Give k(295).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - 46. Sort 0, p, -5, -12 in increasing order.\nAnswer: -12, -5, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165695363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3.91 or -152?\nAnswer: -3.91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-16) + (-183)\/488?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 188848 - 188848 - 1763*u in the form l*u + k and give l.\nAnswer: -1763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8950256 and 1589098.\nAnswer: 7126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*m + 287*m = -c - c + 22, -5*m = -4*c - 46 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3.113, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/100 + 113642\/(-10). Let j be 10\/2*(-9)\/(-5). Is (u\/j)\/((-10)\/15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 966 + -382. Let x = -2331\/4 + r. Suppose 3*l = -2*l, -4*u - 3*l = 4. Which is the closest to u? (a) 2\/9 (b) x (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -5*i + 3316 - 3323 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**3 - 2*k**2 + 5*k + 5. Let y(f) = 4*f**2 - 2*f - 3*f**2 + 18*f**3 - 17*f**3 - 2. Give -5*y(a) - 2*z(a).\nAnswer: a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 17, y: 2}. Give prob of picking 2 f and 2 y.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 - 59.08. Let r = -2 + 1.92. Let o = m - r. What is the biggest value in o, 2\/11, -2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 14*i**2 + 5*i + 73. Calculate u(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64750\/81 at most as big as 798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = 51 - 45. Let j be 4\/(-7)*(2\/4)\/m. Which is the fourth biggest value? (a) -1 (b) -4 (c) 4 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, j: 7}. Give prob of sequence jj.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - 1031?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 66*i + 392. What is x(72)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 124462.\nAnswer: 995696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 20*i**3 - 2*i**2 + i. Let u be n(1). Suppose -2*d - 1180*v + 1184*v = -362, 5*v + 538 = 3*d. Calculate the highest common factor of u and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-12*3\/(-180))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000026175 rounded to 7 decimal places?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -511*n - 476. Does 11 divide p(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3 - 14 - 21 - 11*q + 2. List the prime factors of x(-4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7 + 6\/7*k**2 + 0*k + 2\/7*k**3.\nAnswer: 2*(k - 1)*(k + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by -98.\nAnswer: -45\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 74, 48, 2, -70, -174, -316, -502?\nAnswer: -738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -124 + 41. Let y = -48 - d. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 44138.85 months?\nAnswer: 3.6782375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -207, -416, -625, -834?\n\"Answer: -209*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z + u + 106 = 21*z, 0 = -3*z - 4*u + 82. Solve 5 = -z*a - 17 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 166*p**2. Let k(d) = -d + 8. Let g(u) = -u + 12. Let f(n) = -2*g(n) + 3*k(n). Determine f(b(j)).\nAnswer: -166*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - (-7 + (-5 - (-34 - -15) - (3 + 3)))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9060, -18085, -27072, -36021, -44932, -53805, -62640?\n\"Answer: 19*r**2 - 9082*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10741708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 27\/4. Let r = 373.819 - 374. Let x = r - -0.281. What is the smallest value in h, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 693 at least as big as 693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 234 and -86584518.\nAnswer: -86584284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2820?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-196 - 26*x + 196)*(-150 - 121 + 82) in the form q*x + v and give q.\nAnswer: 4914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-3528)*-21)\/(28\/(-64)*2)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2 - 3*r - 13. Let m(h) = -7*h**3 + h - 1. Let t be m(1). Is c(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 50*z = -42559. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**5 - 121752*w**4 - 12*w**3 + 365264*w**2 - 243504*w = 0.\nAnswer: -2, 0, 1, 30438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 320111 and 0.073332592.\nAnswer: 320111.073332592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9497.51t?\nAnswer: 9497510000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 217404 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 35*y = 696. Solve 9*a = y*a - 30 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110623, 221277, 331931, 442585?\nAnswer: 553239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*l - 17*l - l)*(627 + 204 - 474 + 285 + 533)*(0*l + 5*l - 3*l).\nAnswer: -84600*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -107599?\nAnswer: 32279.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1216 and -99\/372992.\nAnswer: 7086848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11747729 by 43.\nAnswer: -273203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -4*o**2 + 0 - 1\/9*o**3 - 1\/24*o**4 + 0*o - 1\/180*o**5. Factor n(u).\nAnswer: -(u + 1)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8234221.\nAnswer: 139, 59239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*v + 38*v - 6*v - 49*v - v**2 + 29 in the form n + o*v + y*v**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4\/7)*d)**(-6\/23)\/(d**(1\/6)\/d**(-1\/5)) assuming d is positive.\nAnswer: d**(-3571\/4830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o - 24 - 676 = -52*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*90.\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 1)*(4 - 4 - 1)*(-331*b + 156*b + 144*b)*(7 + 44 - 2) in the form q*b + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4354307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**3 - 4017*g**2 - 1515192*g - 110261940 = 0. What is g?\nAnswer: -622, -95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 4976*x = 4973*x - 30, 6 = 3*x for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1656 (b) -3 (c) -14\/5 (d) 11 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -11*i**5\/5 - 21*i**2\/2 - 5. Find the second derivative of k(x) wrt x.\nAnswer: -132*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -7*r**2 + 7*r + 1. Let g(n) be the third derivative of -n**5\/4 + 5*n**4\/8 + n**3\/3 + n**2. Give -6*g(y) + 13*p(y).\nAnswer: -y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30851 at most 30818?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(1\/3))\/s**1*s**(2\/9)*s\/(s*(s*s\/((s\/(s**(-6)*s)*s)\/s)*s*s)\/s))**(-29) assuming s is positive.\nAnswer: s**(-1015\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 310 + -192. Let x(c) = -c**3 - 10*c**2 + 13*c + 26. Let p be x(-11). Suppose 0 = p*s - 127 + 7. Calculate the remainder when y is divided by s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1632 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 - 1030*c**2 - 133126*c - 132098.\nAnswer: -2*(c + 1)*(c + 257)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-7 + 0)*(-3)\/(-10). What is the biggest value in -1\/6, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 - 4*a**2 - a**2 + (-2*a - 3*a + 6*a)*(0 + a + 0) + (4*a - a - 2*a)*(0*a + a + 0*a) - 2*a**2 + 0*a**2 - a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 793245, 793244, 793243?\nAnswer: 793242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*c - 9. Let t be (-129)\/c + (-7)\/28. Suppose -2*w = -o - 1 - 5, -3*o - 4*w + t = 0. Solve 0 = 3*k - k + o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*((-1728)\/20)\/6. Let z = 73 - u. List the prime factors of z.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, k: 1, o: 2, s: 2, j: 1, b: 1}. Give prob of picking 1 y, 1 j, and 1 b.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggyygy. What is prob of sequence gy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 - 37*d + 22. Let b be y(18). Solve -b*u + 16 = -2*l, -4*l = -5*u - 7 + 30 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 3*l - 25, -3*l - 333 = -12*w - 324. What is the nearest to w in 5.3, 20, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**3 + 3*h**2 - 1. Let z be m(2). Suppose -3*s + 0*s = -z. What is the highest common factor of s and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21475 is divided by 404.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 574, 573, 572, 571?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eiei when four letters picked without replacement from dieei.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26873658 is divided by 23227?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-640)\/1120)\/(1\/(1\/2))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (0 + -54264))*(60 + 456). Suppose 4*q + 28497601 = q - 5*i, -5*q = -5*i + 47495935. Let d = r + q. Round d to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-10)*(-105)\/140\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + o**2 + 2*o)*(0 - 2*o**2 + 0) + (3*o + 2*o - 7*o)*(0*o + 0*o + 2*o**3) - 2*o**4 + 3*o**4 - 12*o**4.\nAnswer: -17*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/81 and 187\/12 + (0 - 10\/2)?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.5, 65 in descending order.\nAnswer: 65, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 902\/133 or 8557?\nAnswer: 902\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)*j)**4*j**1*(j\/(j*j**(-1\/5))*j)\/j assuming j is positive.\nAnswer: j**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3384 - 3352 = 4*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89 and 376837837.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.8 - -5.8. Let i(z) = z**2 - z - 2. Let p be i(2). Let d = -1 - p. Which is the third biggest value? (a) d (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 772*f - 772*f - 18*f**2.\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 5) in base 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -80*d + 604. Calculate the remainder when l(7) is divided by (-334)\/(-22) - 4\/22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 7:39 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16337 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -57311392 divided by -7163924?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2094894722 to the nearest integer?\nAnswer: 45770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 6. Let o = 31 + -25. Let c = o - 0. Determine z(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/(-10))\/((-2)\/(-28)). Differentiate -1 + b*l**3 - 9*l**3 + 0 wrt l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2434567 - 0.1097?\nAnswer: 2434566.8903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (544\/170)\/((-12)\/10)*96\/(-5824).\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 6:40 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**2\/2 + 67*t + 3333\/2 = 0.\nAnswer: -101, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 994*w + 1255*w - 55316 = 99865 for w.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -6458\nAnswer: -1\/6458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 834660.4 decades to millennia.\nAnswer: 8346.604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4651.975 meters to nanometers.\nAnswer: 4651975000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 553*i**5 + 9*i - 1?\nAnswer: 11060*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.17 - 0.17. Let m = f + -6.1. Which is the closest to -1? (a) m (b) 4 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 266153 + -5?\nAnswer: 266146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 30 = -4*t. Suppose -d + 4*d = -t. Let j(l) = 9*l**2 + 2*l + 2. Is j(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -0.029?\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -30*p + 0*p**2 - 43*p + 6*p**2 + 47*p - 7*p**2 - 2. Let l(h) = 3*h**2 + 52*h + 5. Give 2*l(m) + 5*r(m).\nAnswer: m**2 - 26*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.5 - -1.7. Let q = -4.199993 + d. Round q to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-154) + 4\/896*32\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 2*c + 20 - 2*c - 15*c.\nAnswer: -16*c + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -0.134052?\nAnswer: -0.165948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(192\/(-20)) - (1 + 70\/(-84)). Which is the closest to -5\/4? (a) 1 (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (56\/(-10))\/((-10)\/375). Suppose -4*z + w = z. What is the remainder when (415\/(-3))\/((-255)\/153) is divided by z?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 - 3)*(s**3 + 8*s - 8*s) - 116*s**3 + 126*s**3 + 106*s**3 + (-4*s**2 + s**2 + s**2)*(4*s - 2*s + 0*s) to z*s**3 + g + n*s + r*s**2 and give z.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l + q - 331 = 0, 2*l = -3*q + 321. Calculate the common denominator of 35\/(-18) - (-5)\/15 and 538\/l - 2\/7.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -16 (b) 5 (c) -4 (d) -0.299 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 2:29 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**3 + z**3 - z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(171)\/(sqrt(9) - sqrt(225)*1)*-2.\nAnswer: sqrt(19)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 17 + 11. Let s(l) = l**3 + 5*l**2 - 14*l + 7. Let n be s(g). Find the first derivative of -n*c**2 + 1 - 1 - 2*c**2 - 3 wrt c.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2629*t + 1968*t + 25876 + 16428 for t.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ded when three letters picked without replacement from eeeeeedeeedeed?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/3, 2\/3, -3, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03521 - -30198.\nAnswer: 30197.96479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -13. Suppose -21 = -7*v - i*v. Suppose 5*n = -2*p - 13, -13 = -n + p - 10. Sort n, -5, 5, v in ascending order.\nAnswer: -5, n, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*w + 47 + 8 = 0, -3*j + 105 = -3*w. Suppose -10*x + 225 = -7*x. What is the highest common factor of j and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 20. Let z(p) = 3*p - 3. What is z(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w**2 - 2. Let i(q) be the third derivative of 3\/20*q**5 + 4*q**2 + 0 + 1\/2*q**3 + 1\/24*q**4 + 0*q. Let s(y) = 3*i(y) + 7*o(y). Determine s(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2 = -7*r + 4*r, 5*r = -4*o + 6. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 13 - 13)*(108*y**2 + 54*y - 56*y - 14*y**2).\nAnswer: 188*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 9*r**2 + r - 28. Let k be d(8). Suppose 0 = -4*w + 2*w + k. Is w a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6163888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**3\/3 + y**2\/2 + y. Let o(h) = -h**3. Let t be o(0). Suppose -4*k = 4*l + 16, k + 4*l + 0*l + 19 = t. Give i(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + 20 + (15 - 11) + -6?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1821.\nAnswer: 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72 by 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**4\/6 - q**3\/2 - 7*q**2\/2 - 28*q. Let i be d(3). Solve 0 = i*n + 3 - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54829931?\nAnswer: 13, 53, 79579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 226*o**2 + 1. Let x be q(-1). Suppose -f + 58 = m, 5*f - x = -6*m + 2*m. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16902 and 205954.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2. Let a = -8716 + 26153\/3. What is the closest to -2\/7 in z, -0.4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -41.5 + -1.5. Let k = 42.9936 + c. Round k to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 15*i. Let b be 11\/((-7)\/(-17 + 3)). Let n(v) = 3*v. Calculate b*n(j) - 4*c(j).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.093 + -0.393. What is the closest to 1\/4 in -5, r, 4\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - 210135?\nAnswer: -210154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433675719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23414648, -23414647, -23414646, -23414645, -23414644?\nAnswer: -23414643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 5*s - 15, 4*l = 7*l + s - 10. Suppose -3*n - 2*n + l = 0. What is the derivative of 0*u**4 + n - u**4 + 0 wrt u?\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -10*v + 585. Let p be u(79). Is -212 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2393*4.\nAnswer: -9572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -442 + 437. Suppose 4*n - 12 = 4*p, -4*p + 3 = 3*n - 5*p. Let r = 20 + -21. Sort s, r, n, 3 in increasing order.\nAnswer: s, r, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 350 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*h + 40, -8*p + 4*p + 2*h = 68. Let w = 19 + p. Let g = 1.6 + -1.53. Which is the closest to w? (a) 3\/8 (b) g (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 64*c**2 - 217*c + 19. Is 15 a factor of n(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)\/(1*-2*sqrt(4)))**2 + -3)*4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 + -1.979703661339?\nAnswer: -3.679703661339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 50*y**7\/21 + 14*y**6\/3 - 39*y**5\/5 - 19*y**4\/3 - 4*y**3\/3 - 2*y - 1. What is n in q(n) = 0?\nAnswer: -2, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -12. Let o = 9 + d. Suppose 0 = -o*b - b. Solve b = -4*i + 1 + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.0109, 0.04, -1\/3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2.4 (b) 2 (c) 6\/11 (d) -27 (e) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -8*r + 6. Let p be 13\/2 + 2\/(-4). Let n be m(p). What is the units digit of (4\/6)\/((-4)\/n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 90*k - 309. Calculate g(9).\nAnswer: 501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/23, -5, 2\/9, -0.8, -0.05, -4 in ascending order.\nAnswer: -5, -4, -0.8, -0.05, 5\/23, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -2645.\nAnswer: 2648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 1)*(-662 + 662 - 456*t) to the form n*t + j and give n.\nAnswer: 912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*k**2 - 12*k**3 - 20*k**4 + 12*k**3 wrt k.\nAnswer: -480*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9429077344387 - 1.\nAnswer: 9429077344386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-4)*(-8)\/(-28).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24*2*36\/32. Suppose -f*q = -59*q + 535. Let r = q + -95. Calculate the smallest common multiple of 36 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93519350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4 = -4*h, -3*k = h - 8 - 0. Let r = k + -9. Let d be (-13)\/r - 2\/(-5). What is the third biggest value in d, -0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**5)\/d*d**(-2\/11)*((d**(2\/9)\/d)\/d)\/d**(4\/7) assuming d is positive.\nAnswer: d**(1711\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(1*(1 + 0)). Let h(b) = 9*b**2 - 4*b**2 - 6*b**2 + a*b - 3*b + 4. What is the units digit of h(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5734?\nAnswer: 2, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.196, -43, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/4)\/o**9*o*o**(-6)*o*o\/(o*o*o\/((o\/(o**(-2)*o))\/o))*o assuming o is positive.\nAnswer: o**(-53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t. Let p be w(3). Let n be p + 0 + 0\/(-2). Suppose 4*f = 0, -f - 3*f = -3*v - 9. Does v = n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*d + 2*p, 2*p = -2*d + 7*p - 1. Let o(j) = 5*j. Calculate the remainder when o(7) is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67\/((-39195)\/(-90)) - 28\/(-156)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 37021.8 millimeters?\nAnswer: 3702.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -307 + 319. Calculate the smallest common multiple of 6 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 0.1110939?\nAnswer: -3.1110939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127 + 127 + 2*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-2 - 16\/(-12)). Let o(z) = z**3 + 4*z**2 - 2*z - 3. Let b be o(-4). Suppose -4*c + s*p - 7 = -b*c, 0 = -3*p. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-11))**(10\/17)\/(g**9*g**(-1)*g) assuming g is positive.\nAnswer: g**(-243\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4 + 4 + k. Let t(x) = -8*x - 1. Suppose 5*q + v - 18 = -3*v, 2*q + 4*v = 0. Let h be 2\/4 - 14\/(-28). What is h*t(b) + q*f(b)?\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2750479152 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/5))**(6\/29) assuming x is positive.\nAnswer: x**(-6\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 4 - (16 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 12*o + 11130. Let f = o + 1216. Suppose 0*k - 2*k + f = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2489 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -5*n - 33*l + 29*l, 3*n = -2*l + 19 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-76)\/(-24) - 1\/6. Suppose -27 = -q*h - 3*y, -y - 12 = 2*h - 5*y. Solve -r - 2*t = -9, -h = -4*r + t + 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 603\/54 + (-11)\/(660\/(-50)). Solve 240 = -t*n + 288 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1063*g - 102902 = -2333*g - 1078*g for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 89525 (base 10) to base 12\nAnswer: 43985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x - 7. Let c = -10 - -3. Let s be i(c). Put -3, -2, s in increasing order.\nAnswer: s, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 3*m + 23. Let h(g) = g**2 - 4*g - 24. Let y(n) = -2*h(n) - 3*l(n). Calculate y(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.3297375 to the nearest integer.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11493.\nAnswer: 3, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1291 = -5*k + 4*c, 3*c + 3 - 6 = 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7290805?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*x - 11, -4*x + 17 = 4*l + 5. Let j(a) = -l*a**2 + 3*a**2 + 4*a**2 - a**2. Let f(o) = -2*o**2. Determine f(j(q)).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 79.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33253 is divided by 173?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 264609031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60628 - 16041. What is the thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 65*c + 753. Determine q(-50).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)\/(sqrt(48)\/sqrt(6)))\/(1*sqrt(18)) + 3.\nAnswer: sqrt(13)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -199*a**6*x - a**3*j*x - 2*a**2*j - 13*a*j - 7*a*x + 2*j + x wrt a?\nAnswer: -23880*a**3*x - 6*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -569 and -569 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.342 - 3.59.\nAnswer: -3.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**6*y**(-30) assuming y is positive.\nAnswer: y**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -116*v - 1. Suppose 0 = -2*y - 116 + 74. Let d = y - -20. What are the prime factors of r(d)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p - 2*p - 3*p + (-2 + 2 + p)*(4 - 2 + 0).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 82? (a) 0.2 (b) 2 (c) 0 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/15 (b) -123 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 150, 5, 0, 56, 2 in decreasing order.\nAnswer: 150, 56, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -450 - -539. What is the remainder when c is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.1 != 170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4901 - 4716. Calculate the remainder when m is divided by 81.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2123740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 115 - 12*m + 9*m - 4*m + 5*m + 2*m**2 in the form z*m**2 + a + j*m and give a.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhjihwwhuxwihiwhujhh. What is prob of picking 3 i and 1 x?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*j - 22. Let o(q) = q**3 - 5*q**2 - 9*q - 4. Let u be o(j). Suppose l = 5*h + 37, -l - 2*h + h + u = 0. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 149 (b) 13\/225 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2 - 11) + -24 + 28.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/7 + 80\/14. Let v = n - 3. Let l = 0.4456 + -0.4456. Which is the nearest to l? (a) v (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/32 of a minute?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 38*x**2 + 138*x - 7. Let c(v) = 19*v**2 + 62*v - 3. What is 7*c(m) - 3*z(m)?\nAnswer: 19*m**2 + 20*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1246, 1574, 1902, 2230?\nAnswer: 2558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -88, -234, -446, -724, -1068?\nAnswer: -1478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 278866547 to the power of 1\/2, to the nearest integer?\nAnswer: 16699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111000100011000 + -100?\nAnswer: 1111000100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -2099*d**2 - 2332*d - 792. Differentiate g(h) with respect to h.\nAnswer: -4198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/(-21) + (-22)\/77)*42\/(-15). Let z be 1\/((-1)\/1) + 5. Suppose 0 = p, -z*t + 2*t + 3*p + 12 = 0. Calculate the highest common factor of t and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/(72\/486*(-153)\/578)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, a: 1, t: 3, w: 5, j: 3}. Give prob of sequence ew.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 748191295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/23 or 1721\/39?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.44 and 350.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 2*c**2 - c**2)*(1 - 1 + 1)*((-c - 3*c + c)*(3*c + 2*c - 4*c) + c**2 + 51 - 51 + 2*c**2 - c**2 - 3*c**2).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1241*d + 3701*d - 1225*d - 1237*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012032 rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**4 + 5*w - 13*w - 3*w**3 + 0*w**3 + 27 - 26 to z*w**4 + t*w + p*w**3 + x*w**2 + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 divided by 2.\nAnswer: 57\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 80864002\/7 - (-5 + (-333)\/(-441)*7). What is t rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7615837 + -31.1405463. Let m = -31.9 - b. What is m rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6103469 (base 10) in base 15?\nAnswer: -80867e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -2*c. Suppose 2*s - s = c. Suppose s = -2*f - 2*f + 12. Solve -5*l + 2*l = 4*o + 2, 16 = f*l - 5*o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2285663980?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 9 + 3 = 0. Suppose g = -i*g + 12. Solve -6 = -g*c - a, 0 = -c - a + 4 - 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -t + 6*t + 120, 2*n - 3*t = 79. Which is smaller: 36 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2035 is divided by 671.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 5*y**4 + 1285*y**3\/3 + 5770*y**2\/3 + 8140*y\/3 + 1080 = 0.\nAnswer: -81, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 3*i - 10. Let w be f(-10). Let d = 167 - w. What are the prime factors of d?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -13*d**3 - 2*d + 2. Let s(j) = 638*j**3 + 99*j - 99. Let v = 752 - 676. Let n be (v + -85)*-11*1. Calculate n*u(a) + 2*s(a).\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 18 = 5*r - 11, 0 = -5*b + 3*r + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 9*m**2 - 6. Let v be r(-9). Let g = v + 9. Solve g*w - 5*k = 0, -3*w - w - 35 = 5*k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -3)*-3*3.\nAnswer: -9*sqrt(13) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, 2524, -2, -7 in decreasing order.\nAnswer: 2524, -2, -7, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/2, -1\/81, 2\/5, 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 105750 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/28)*c*c**19 assuming c is positive.\nAnswer: c**(559\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 15 = 2*i, 4*i + 4*x - 72 = 28. Let a(w) = 3*w**2 - 46*w + 19. Let s be a(i). Suppose n + 2*l - 110 = 0, -s = -3*n - 3*l + 28. Is 27 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by ((15\/(-9))\/((-8)\/6))\/((-166)\/(-3320)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 12:24 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 5*v - 5*v)*(-1 + 3 - 1 - 4 + 7 - 1 + 0 - 4 + 2 + (3 - 3 + 2)*(0 - 3 + 2) + 0 + 1 + 0 + 4 - 2 - 3 + (-1 - 1 - 1)*(-5 + 2 + 1) + 1 - 2 + 0).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h**3 - h**2 - 5*h + 1. Let n(p) = 14*p**3 - 2*p**2 - 14*p + 2. Let c(x) = 6*n(x) - 17*s(x). Suppose 0*v - 4 = -v. What is the units digit of c(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-276)\/230)\/(129\/(-5))\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58753\/1525750 - -29\/718. Is d less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 5. Let z be a(7). Solve -z*x + 0 = 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -39*u**2 + u + 2. Give b(-1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 10:48 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzz when three letters picked without replacement from {z: 5, h: 1, g: 10}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 106610 - 42417. List the prime factors of a.\nAnswer: 23, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20 - 19873?\nAnswer: -19853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 6. Let q(w) = 1. Let o(t) = -a(t) + 6*q(t). Let s = 145 + -145. Let z be o(s). Solve -x = 3*g - 18, 0*g + 3*g + 5*x - 30 = z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40811621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 213200\/9, 1, 8 in increasing order.\nAnswer: 1, 8, 213200\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3618, 7214, 10810, 14406, 18002?\nAnswer: 21598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 861182242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12, -102, -346, -828, -1632, -2842, -4542, -6816?\n\"Answer: -14*r**3 + 7*r**2 - 13*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 49003530.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -26*n - 165. Let w be c(-28). Let b = 1006 - w. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v + 7. Suppose 3*o - 233 = -29. Suppose 0 = -3*i + v*i - o. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -624, -604, -560, -480, -352?\n\"Answer: 2*o**3 + 6*o - 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -157*u + 19. Let m(f) = -104*f + 12. Let x be (12\/14)\/(9\/(-84)). Let v(a) = x*m(a) + 5*i(a). Let n(s) = 2*s**2. Give n(v(l)).\nAnswer: 4418*l**2 - 188*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 561, 560, 563, 570, 581?\nAnswer: 596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19\/5 - 3\/(-15). Solve -y*l + 3 = -3*c - 0*c, 0 = -2*c - 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 11:10 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 696011, 695998, 695977, 695948?\nAnswer: 695911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**2\/2 - 551. Let d(g) = -3*g**3 - 6*g + 4. Calculate d(l) - 6*s(l).\nAnswer: -3*l**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 641\/49 - 4*510\/(-204).\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -12633*w - 88428. Calculate i(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/70 and -79\/134?\nAnswer: 4690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*n - 18*n - 24. Which is the fourth smallest value? (a) 1\/9 (b) n (c) 5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1204 - -0.1204. What is the smallest value in -2\/5, -216\/17, v?\nAnswer: -216\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 - 127 = -58*q. Solve -q*y + 8*y = 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 10*y**2 - 5*y**2 - 9*y**4 + 6*y**4 as b*y**3 + g*y**2 + f*y**4 + w*y + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 5:47 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/3917 and 10\/701.\nAnswer: 2745817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*j + 2*t, 23 = 3*j - t - 0*t. Let g be 10\/j + -3 + 1. Let n = 364\/5 + -73. What is the closest to n in -2, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*sqrt(2299)*3*6 - (-4 + sqrt(2299)*1 - (2*-2*sqrt(2299) - sqrt(2299))))**2*-5.\nAnswer: -69935664 + 34320*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, -39, 0, -799, 3\/4 in descending order.\nAnswer: 3\/4, 0, -0.03, -39, -799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -7314 greater than -7344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -9, 0 = 5*r + 5*o - 3*o - 904. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**2 - 4018*j - 163920 = 0.\nAnswer: -40, 2049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + 3 - 3 + (-3 - 4 + 5)*(0*v + 0*v + v) + (0*v - 3*v + v)*(-1 - 3 + 3) - 60*v - 979 + 979.\nAnswer: -63*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 1 - 3) + 5 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(147) + (sqrt(147) + -2 - sqrt(147)) + -4*sqrt(147)*1)**2 + -1)*1*-4.\nAnswer: -5388 - 840*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -694, 45 in decreasing order.\nAnswer: 45, -43, -694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -29693, -60160, -90627, -121094?\n\"Answer: -30467*w + 774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2562.252122 to 1 dp.\nAnswer: 2562.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/19?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*w + 94*w = -5*i + 40, 3*i - 9*i + 8 = w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3 + 0 = 0. Put 5, o, 4 in descending order.\nAnswer: 5, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -109*a + 21. Calculate the remainder when f(-2) is divided by 61.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*m - g - 2, 0 = -2*m + 5*g + 29. Suppose -5*a = -m*o - o, 0 = a - 3. Let c(f) = f + 8. Let r be c(-12). Put 0, o, r in ascending order.\nAnswer: r, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 22524*g + 45032.\nAnswer: 4*(g - 5629)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2 - 22*o + 2. Let l be j(9). Let g = -58 + l. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 633270.2l to millilitres.\nAnswer: 633270200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 345 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -4 (c) 1\/10 (d) 11 (e) -2\/17 (f) -11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -849494 divided by -211?\nAnswer: 849494\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -2577086142299?\nAnswer: 2577086142295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 26*u**2 - 49 - 78*u + 44 - 5. Determine d(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28 - -116?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 6.65\nAnswer: -10.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405961.\nAnswer: 313, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 550, 553, 556?\nAnswer: 559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21107347\/70 + -1516198\/5. Let c = -1708 - l. What is the common denominator of c and 65\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-2\/27))\/l**(-1))\/(l\/(l\/(((l\/l**(5\/6))\/l*l*l)\/l*l)))**11)**22 assuming l is positive.\nAnswer: l**(-6391\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5, -10, -9, 4, 35, 90?\n\"Answer: k**3 - 3*k**2 - 3*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + ((-7 - 11) + 27 - (1 + 3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3 + (sqrt(13) + sqrt(13) + -1)*-3) + ((-1*sqrt(1300))**2 - sqrt(1300))*-2*4)*-4.\nAnswer: -416*sqrt(13) + 41696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2063124310208\/8327 - 2725354811\/11. Let r = d + -3689. Is 0 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 1. What is the second derivative of -7*k**a - 7*k - 3*k + 6*k wrt k?\nAnswer: -42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -82833\/13 = -4\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -265237203 divided by 730681\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 + 43. Suppose z*d + 2*s + 152 = 6*s, -4*d - s - 259 = 0. Let j = d - -68. Calculate the highest common divisor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74*b**4 - 2*b**2 - 98*b + 181621 with respect to b.\nAnswer: -296*b**3 - 4*b - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9 - 2*t + 36*t**4 + 2*t**3 + 69 - 30 + t wrt t.\nAnswer: 432*t**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -10202120120200?\nAnswer: -10202120120111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -15*u + 29. Let v be t(10). Let h = 146 + v. What is the highest common divisor of h and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 2*w - 1 - 1, 4*w = -5*c - 35 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8729 - -8725. Sort 2\/5, j, -0.0258.\nAnswer: j, -0.0258, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35434263 less than -1169?\nAnswer: 35433094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y - 10045 = 23*y. Let c = 289 + y. Calculate the lowest common multiple of 428\/18 - (-4)\/18 and c.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 1. Let i be q(1). Solve i*h - 4 = -2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1746*s**5 - 6*s**2 - 97?\nAnswer: -104760*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 1. Let p be -2 - (-3)\/(3\/7). Let i be t(p). Let o = -0.822 + 0.722. Which is the second smallest value? (a) o (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41.8 + -42. Let w be (3 + -6)\/((-18)\/(-4)). Which is the biggest value? (a) w (b) 3\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -89*r**4\/6 + 303*r**2\/2 - 233*r. What is the first derivative of t(l) wrt l?\nAnswer: -356*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - 1 - (531 - 523)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -26. What is the remainder when 42 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3075084 - 3075084.03190259. Let b = -0.0319 - q. What is b rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssu when three letters picked without replacement from suoosssouuujscxsu?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-33) - 320\/(-66))\/((-2)\/(-12)). Solve -2*o - 2*b = -6*b + d, -4*b + 4 = 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 less than -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l + 3 - 5 + 0)*(-27*l**2 + 20*l + 26*l**2 - 81*l) to y*l**3 + r*l**2 + g*l + n and give g.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 722 or 714?\nAnswer: 714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 165*(-1)\/(-9)*3. Suppose o = 6*i - i. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 6:44 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359370139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -337425201 at least -337425199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 5:46 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 5, 270, 2 in descending order.\nAnswer: 270, 5, 2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/4552342 and -121\/156.\nAnswer: 355082676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q - 13. Let r(s) = -23*s**2 - 17 + 52*s**2 - 18 + 10*s - 28*s**2. Let f be r(-13). What is k(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/17 - 14*t\/17 - 16\/17.\nAnswer: 2*(t - 8)*(t + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 69 = d + 3*y, 0 = 5*d + 3*y - 405. Let x = d + -123. Let p = x + 90. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.27197209 or -3?\nAnswer: 0.27197209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2546019863663\/49104 + 466645816\/9. Let o be 20495\/143220 - 1\/7. Let x = o + r. Find the common denominator of x and 13\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 46*t + 80. Let n(w) = -10*w - 16. Calculate 3*d(k) + 14*n(k).\nAnswer: -2*k + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/112*-1*10*10\/675.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -33. Let u be (-1 - -2)*3\/6. What is the closest to 1\/2 in 2\/7, v, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (22\/4)\/(6\/108). Let h = v - -2. Suppose -4*k = -3*l + 6*l - h, 0 = -2*k - 3*l + 55. Is k a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 = -z + 4*z. Calculate the remainder when z is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*j - 75, -j - 4*g = -2*g - 16. Let m(z) = -z**2 + 6 + 4*z**2 - 2*z**2 - 3*z - j. What is the tens digit of m(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76 + 81. Which is the third biggest value? (a) -3 (b) 9 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 33*x**5\/5 - 19*x + 24. Differentiate d(i) with respect to i.\nAnswer: 132*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4941, 9888, 14833, 19776, 24717, 29656, 34593?\n\"Answer: -p**2 + 4950*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 250 - -95. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6902850?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1500 = 9*t - 1716 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 609, 0, -2\/17, -5.8, -4, -0.2.\nAnswer: -5.8, -4, -0.2, -2\/17, 0, 609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-1)\/(-6) - (-24)\/18.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.5 - 9.8. Let y = 4.4 - 4. What is the nearest to 1 in 0, o, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*w + 0 - 1\/4*w**2.\nAnswer: -w*(w + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 81 = 3*f. Suppose 164375 = f*l - 3340. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 2*g. Let l(o) be the first derivative of 3 + 3\/2*o**2 + g*o. What is l(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 109 - 18 - 3*g + 0 + 39 as h*g + j and give j.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x**2 + 27*x**2 + 39*x**2 - 102*x**2 + 39*x**2.\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*b + 47*b - 419*b**3 - 1866*b**3.\nAnswer: -2285*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3.3 or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 take away 3.11657?\nAnswer: -15.11657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmt when three letters picked without replacement from {v: 4, t: 1, o: 3, h: 2, m: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 1118312?\nAnswer: 3354936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*k - 42 = k, -5*k = 0. Suppose 8*o + a - 142 = 0. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3435, -3452, -3471, -3492, -3515, -3540, -3567?\nAnswer: -3596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*u - 4*a + 1, a + 3 = 2*u. Is u > 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*b = -401 - 105 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -3*k - 44. What is the remainder when 27 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 9, 4*k - 2*u + 6 = 7*k. Suppose 5*c = k*f + 12 - 689, 0 = 5*f - 4*c - 853. Find the second derivative of -164*o + 304*o + 26*o**3 - f*o wrt o.\nAnswer: 156*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 54 + 12*g + 3\/2*g**2 - 3\/4*g**4 - 4*g**3. Factor d(a).\nAnswer: -3*(a - 1)*(a + 1)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -220022100211?\nAnswer: -220022100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-41 + 40)*(1 + -86924)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/10 - 198\/(-30). Let c(y) = -15*y. Let g be c(x). Is 9 a factor of g\/(-4) - 4\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1259036 or -7.8?\nAnswer: -1259036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -24407, -24404, -24401?\n\"Answer: 3*n - 24410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 90 + -81. Let r = 6 - t. Let d be r\/((-18)\/15)*(-14)\/(-5). Calculate the greatest common factor of d and 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - -5*(sqrt(60)\/sqrt(3) - sqrt(20)))\/((-2*sqrt(60))\/sqrt(6)))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1202\/16919 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 5) in base 15?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-1 - -13) - (2 - 3)) + (216616 - 216588)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -384*m + 477.\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001337533 rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(1\/2)*b)\/(b*b\/(b\/(b**(-18)*b)*b)))\/((b\/(b\/(b**(-1\/2)*b*b)*b)*b)\/(b\/b**10)) assuming b is positive.\nAnswer: b**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3367 - -6679\/2. Let r(m) = -m. Let g be r(-8). Find the common denominator of 4\/(-1)*90\/g and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = y - 3*j - 1, -j - 4 = -y. Solve y*i + 2*f - 6*f = 4, 4*i = f - 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7576)\/(-325768) - (-431)\/(-43)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17804 divided by -4451.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121879 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4010 + -20?\nAnswer: 3880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*k + 6 - 18, 3*k + 9 = 0. Let j be f\/(-14)*(-84)\/72. Factor 0*t**3 + 3\/4*t**5 + 0*t**2 + 0*t - j*t**4 + 0.\nAnswer: t**4*(3*t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 452 divide 12694363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -350380 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -49*m**3 - 1 - 21*m**2 - 343\/8*m**4 - 4*m. Solve u(j) = 0.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 89.4 and 0.246.\nAnswer: 21.9924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: a368c9 (base 14) to base 3\nAnswer: 101101000121221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**4\/4 - b**3 + 117*b**2\/4 - 77*b + 49 = 0.\nAnswer: -14, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -65*f + 9039. Let n be q(135). Is n equal to 306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -203 < -121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (36\/126)\/((-15)\/(-217)). Which is the closest to y? (a) 0 (b) 3\/7 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 = 2*s, -3*n = -n - 4*s + 18. Let w be (6 + -2 + n)*-2. Let t be -1*1*w*2. Solve -t*b = -8*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*(3 + 2 - 3)*(2*t + 2 - 2).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rikk when four letters picked without replacement from {i: 1, k: 5, r: 4, c: 3, l: 6, b: 1}.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**3 + 150*s**2 + 2016*s + 3456 = 0.\nAnswer: -24, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from bnbkyybb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -441402 + 7056963\/16. Let u = -342 - p. What is the common denominator of 381*(-8)\/288 + (-20)\/(-15) and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 7. Let r be q(0). Let w(k) be the first derivative of 2*k**2 - 2*k + 4. Is w(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 18*c**3 - 5*c**2. Let j(f) = 6*f**3 - 2*f**2. What is -3*b(n) + 8*j(n)?\nAnswer: -6*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3*h**2 - 82419*h - 164826 = 0.\nAnswer: -27471, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4640191 weeks to minutes.\nAnswer: 4677.312528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -270, -548, -838, -1146, -1478?\n\"Answer: -g**3 - 271*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 478*t - 482*t. Calculate the remainder when 47 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.199494 micrometers to millimeters.\nAnswer: 0.000199494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -13053*x - 2349559. Give o(-180).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + sqrt(1377) - sqrt(1377)) + 1 - (sqrt(1377) + -1 + -5 + 2).\nAnswer: -9*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a factor of 48822629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -99243146?\nAnswer: 99243145.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 8. Suppose 4*b + 0 - 4 = d. What is the remainder when 23\/2 + b\/2 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 688*g + 222. Determine a(-1).\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2\/9 (b) 1 (c) 2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and 236 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/15 + 482\/3. Suppose 74 + n = 3*y. Let a = y - 49. What are the prime factors of a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1550 is divided by 326.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3 - 23. Let p(d) = -d - o*d + 0 + 0*d + d**2 - 13. Let q be p(9). Which is the second smallest value? (a) 3\/7 (b) 1\/4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 0*s**2 - 6*s**2 - 2 + 7*s**2 - 3*s. Give x(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1493 is divided by 727?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -43 + 17 + (7 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s*s\/(s*s\/(s*(s**(-1\/6)\/s)\/s)))\/s)\/s)\/(s\/((s*(s*s**8)\/s)\/s*s)*s*s))\/((s*s**(-8)*s*s*s)\/(s\/s**(2\/11))))**(-7\/6) assuming s is positive.\nAnswer: s**(-3535\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*(-5 + sqrt(245) + (sqrt(245) + -1)*-5 + -1*(1 + sqrt(245))))**2.\nAnswer: 28000*sqrt(5) + 2450400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + ((2 + sqrt(5)*2)*-6)**2).\nAnswer: -3456 - 1152*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -604*k - 482*k = -205*k - 1762 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 13618?\nAnswer: -13617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 11*d**3 + 2*d**2 - d. Let g be n(1). Let x(f) = -g*f + 12*f - 2*f**2. Let z(p) = 6*p**2 - 2*p**2 - 2*p**2. Calculate x(z(o)).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s - 4. Let v be r(-1). Which is the closest to 1? (a) 5 (b) 2\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -183*n**3 - 11*n**2 - 4*n + 388275 with respect to n.\nAnswer: -549*n**2 - 22*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3 + 3 - -5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + 11)*(2409\/66 + -12 + 0)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v. Let o be 228\/14 + (-6)\/21. Suppose -3*i + 21 = -3*d, i = 5*i - o. What is the units digit of m(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*b - 12*b - 39152. Let f = b - 57152. What is f rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 450988883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/5 + 185316*i\/5 - 2861834988\/5.\nAnswer: -3*(i - 30886)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*z + 81. Let o = z + -17. Suppose 3*c = -3*q + 6, 0 = -4*c + o*q - 2*q - 1. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7899 divide 939488970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1865500288 to the nearest integer?\nAnswer: 43191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.40695g to tonnes.\nAnswer: 0.00006840695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**6\/600 + z**5\/150 - 2*z**4\/15 - 16*z**3\/15 + 3*z**2 + 122*z. Determine g so that i(g) = 0.\nAnswer: -4, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18799 or 1\/24?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -35 - (198 - 215)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13833581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 5*q - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/4433597 and -19\/4433597?\nAnswer: 4433597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 3*w**2 + 266*w + 2828. Give b(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a*k**2*u + 1194*a*u - 239*k**2*u with respect to k.\nAnswer: -6*a*k*u - 478*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*v + v. Let g = v - 2. Suppose -35*i + 515 = 60. Solve k - i = -5*f, g*k - 2 = -3*f + 19 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25733 and 48.\nAnswer: -1235184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -522*j + 526*j = -7*f - 51, 2*j - 70*f - 17 = -65*f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48024045 is divided by 102.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17295 - 17897 - 1554 = 1934*q for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v + 8*v + 884*v**2 - 3*v + 1113*v**2.\nAnswer: 1997*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*i**2*y + i**2 - 674002*i - 7*y + 567397 wrt i?\nAnswer: -26*i*y + 2*i - 674002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13327 (base 8) to base 4.\nAnswer: 1123113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 3:49 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(396) + (0 + sqrt(396))*3 + sqrt(396))**2 - (0 + sqrt(396) + -3)).\nAnswer: -59418 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 0)*(c - 2 + 2 - 15*c - 7 + 7 - 2*c + 1 - 1 + (0 + 1 - 2)*(5*c + 0*c - 3*c)) to b*c + o and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 36 = 5*w. Suppose -4*f - 6 + w = 0. Suppose -f*d = -33 - 3. Solve 4*i - d = 4*g, 2*g = -2*i - 3*i + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*w + 4*y, -26 = 16*w - 10*w - 4*y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 45. Suppose -s = -3*j - b, 5*s = j - 5*j - 11. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173.084 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12915 and 9594.\nAnswer: 335790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*y + 97*y = -3*y + 25*y + 21340 for y.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -51 (b) -5 (c) -0.5 (d) -11882 (e) -4 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 6*a**2 - 5. Let q be x(5). Calculate the common denominator of 721\/q + (-6)\/(-30) and 5\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 164 + -164. Sort 6, 5, p in descending order.\nAnswer: 6, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 5*r**2 - 4*r + 6. Let v(a) = a**3 + 17*a**2 - 16*a + 42. Let h be v(-18). What is the remainder when 142 is divided by u(h)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**2*f**3 + 4*a**2*f - 686*a - 8550*f**4 + 18*f**3 + 502*f**2 wrt f.\nAnswer: -6*a**2 - 205200*f + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 473747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {s: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*y = -1911*y - 2208*y - 5447*y + 19190 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (193 + -238 - (6 + -123)) + 0 + (5 - 1)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -78795.225.\nAnswer: 7879.5225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 2*j**2 + 0*j)*(j**2 + 4*j**2 + 0*j**2 + (-j - j + 4*j)*(6 - 6 - 2*j) - 8*j**2 + 4*j**2 - 15*j**2).\nAnswer: 36*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tov when three letters picked without replacement from {m: 1, v: 7, t: 1, o: 4}.\nAnswer: 7\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 3.4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1172631?\nAnswer: 3, 390877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1425391, 2850863, 4276335, 5701807, 7127279?\nAnswer: 8552751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 88, 89, 90, 91?\n\"Answer: h + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 1045 + 1076 = 3*b + 4*b, -b = -4*m - 21 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 514069, 513955, 513843, 513733, 513625, 513519, 513415?\n\"Answer: h**2 - 117*h + 514185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 381052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127, -3, 1.\nAnswer: -127, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*s = 8. Let l(b) = 6*b - 2*b + b**3 + 5*b**s + 4 + 0*b. Let h be l(-4). Solve -h*w - 16 = 4*x, -4*x - 2*w - 15 = w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 23.832. What is c rounded to 2 dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - -12. Let q be (-16)\/(-3) + (-6)\/l. Suppose -q = y - 3. What is the closest to 1 in y, -1, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-14))\/(2022\/(-49539))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 5*w**2 - 13*w - 4. Let o be t(7). Suppose -o = -y + 6. Calculate the lowest common multiple of 3 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -69809.\nAnswer: -69808.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 2) + (-2)\/2. Let u be (18\/b)\/(7\/14). Let n(m) = m + 15. What is the units digit of n(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2741965 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -115*r**3 + 86*r**2 - 22*r - 33. Let k(f) = -23*f**3 + 17*f**2 - 4*f - 6. What is 11*k(n) - 2*v(n)?\nAnswer: -23*n**3 + 15*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*1\/2*(-153)\/(-126)*14\/3.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 993615*j + 3582120 wrt j.\nAnswer: 993615","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.36 - 0.36. What is the nearest to g in 0.2, 3, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -217, -1076, -3365, -7786, -15041, -25832?\nAnswer: -40861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 186144.9 rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 4*m**2 + 2*m + 4. Let s be l(-3). Suppose -s*n + 2 = -6*n. Suppose n*v - 6 = -0*v + 5*o, o + 3 = v. Solve 4*x - 3*x = -v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 4:30 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 4\/13, 4, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.1289 and 0.5.\nAnswer: -5.56445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2550*x**3 + 10200*x**2 + 10*x + 37. Calculate w(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 w when four letters picked without replacement from wqwflfwvvw?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*a - 18. Let q(d) = -4 - 5*d + 8*d + d. Let k(s) = 3*s - 3. Determine a*k(p) - 4*q(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 4*q + 1 = 0, 2*s + q - 6 = -2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83 + 83.00000264. Round j to seven dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 6:39 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from {c: 10, o: 4}.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 - -262?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + 0. Let g = 38\/55 + -4\/165. Let d = 5 + -5. Which is the nearest to d? (a) g (b) 0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(44))**2) + 5 + 0.\nAnswer: -39 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 13. Let c = y - -19. Let i(j) = j + 1. Calculate i(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -4, 25*p - 20*p = -2*r + 153. What is the remainder when 154 is divided by r?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 6 + 9 - 7)*(n - 127*n**2 + 264*n**2 - 128*n**2) in the form s*n**2 + i + h*n and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-9))\/((-130)\/39 + (-1 - -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7449019951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**2 - 138*l - 18. Does 53 divide q(47)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i**2 + 5*i - 5. Let l(y) = -y**2 - 15*y + 6. Let k(w) = -w**2 - 4*w + 1. Let t(d) = -6*k(d) + 2*l(d). What is 6*o(v) + 5*t(v)?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -182*y**2 - 2*y + 5. Let t(k) = 183*k**2 + 2*k - 4. Calculate -2*r(o) - 3*t(o).\nAnswer: -185*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -158850+1043\nAnswer: -157807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/18*45423\/(-721)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90846 and 1029?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 2*h - 6. Let q(o) = 17 + 9*o + 2*o**2 - 10*o - 12*o. Let m(w) = -4*w**2 + 24*w - 33. Let y(j) = 4*m(j) + 7*q(j). What is -9*v(k) + 4*y(k)?\nAnswer: k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + u - 1. Let a(i) = i**2 - 4*i + 3. Calculate -2*a(x) - 6*k(x).\nAnswer: -8*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x. Let c(a) = -449*a**2 - 12*a + 40. Let d(v) = -3*v + 10. Let q(s) = c(s) - 4*d(s). What is q(g(r))?\nAnswer: -449*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1312 + 86942?\nAnswer: 88154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-173 - -147) + (7 - -26)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*o = 481 - 137. Let u(c) be the third derivative of 5\/24*c**4 + 0 - 13\/6*c**3 + o*c**2 + 0*c. What is the first derivative of u(i) wrt i?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 + 2*u. Let n = 22 + -26. Let q = n + -2. Let r(h) = 3*h**2 - h. Let b(m) = q*r(m) - 7*w(m). Determine x so that b(x) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3834626 is divided by 261.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/52*-108 + -4. Let n = -127 + 130. Which is the closest to 1\/4? (a) -2\/7 (b) n (c) s (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - i - 8 = -v, 0 = -3*v - 3. Suppose -5*t - i*z = 14, 3*t + z = -6 - 4. Let w(h) = h**2 + h - 5. Determine w(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 6*b**2 - 2*b - 4. Let v = 11 + -6. Calculate the least common multiple of c(v) and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-nine halves of a millennium?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p. Let r be -4 + (-4 - 4\/(-1)). Calculate h(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 - 1 - (33 - 32) and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 25 = -5*r, r + 6 - 3 = t. Let c be 195\/13*(-2)\/6. Put c, -1, t in ascending order.\nAnswer: c, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 904648 a multiple of 441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 - 5 + (4 + 5 + 1)*(-1 + 2 + 0) + 1 + 1 - 4)*(-2*b + 3*b - 2*b) - 3*b + 1 - 1 in the form t + c*b and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -73*t**5\/20 + 43*t**2 - 85*t. Find the first derivative of m(n) wrt n.\nAnswer: -219*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/5)\/((-7)\/((-420)\/18)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -y - 134224*c + 134229*c, -4*y + 5*c - 24 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 5*r + 2. Let l be s(5). Suppose 0 = l*w - w - 20. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o**2 + 12*o - 3. Let c(s) = -11*s - 2 + 0 + 6*s**2 + 6. Let a(k) = 6*c(k) + 5*q(k). What is the units digit of a(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1 + (-5*1*sqrt(567) - (sqrt(567) + sqrt(567)*1 + 1)))*1)**2 + 5.\nAnswer: 27788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2343 (base 6) in base 14?\nAnswer: -2c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*m**2 - 34*m**2 + 222*m**3 - 254*m**3 + 63*m**2 - 168 wrt m.\nAnswer: -96*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**2 + 7 + 12*j**2 + j - 6*j**2 - 23. Does 7 divide u(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00047936547 rounded to 6 decimal places?\nAnswer: -0.000479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 575, 2297, 5165, 9185, 14363?\nAnswer: 20705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 2:57 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -205 - 209 + 5*y**2 - 5*y**2 - y**2 - 5*y + 407 as a*y + u*y**2 + d and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1685 + -14?\nAnswer: 1671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-16)*1\/90. Let b(q) be the third derivative of 0 - u*q**6 + 0*q**3 + 0*q + 3*q**2 + 1\/120*q**5 + 0*q**4. Suppose b(t) = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -24414?\nAnswer: -24423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 552833 and 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a - 7 - 3 + 2*a**2 - 10 + 6. Let f be i(-6). Is f - (-2)\/4*6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 27. Let x(g) = -1. Let s(v) = -w(v) - 4*x(v). Let u be s(8). Let n = u + 59. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 444\/54 - 8\/36. Let m(h) = -830*h**2 + 7 + 0*h**3 + 838*h**2 + 4*h - h**3. List the prime factors of m(u).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 176\/(-5) + 8\/40. Let t be ((-110)\/15 - -4)*12\/r. Factor -4\/7*z**2 + t - 4\/7*z.\nAnswer: -4*(z - 1)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -20 and -123 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 224742*x + 12627241641.\nAnswer: (x - 112371)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2519 + o + 74347 - 10893.\nAnswer: o + 60935","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.49 + -0.4929. Round v to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_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: Express (6 - 6 + 6)*(u - 3*u + u) + 3*u - 2*u - 3*u + u + 0 + 0 + 3*u - 3*u + u + (-1 - 1 + 1)*(2*u - 1 + 1) + u - 4*u + 2*u in the form d*u + o and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43.05 + 41. Let x = l - -2.1. Which is the smallest value? (a) -5 (b) -0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101012102000 (base 3) to base 7.\nAnswer: -21154341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 110055257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, h: 3, z: 2, g: 4, r: 4, u: 1}. Give prob of picking 3 h.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228159520 a multiple of 5152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*3*(1 + -2). Let g(a) be the third derivative of -a**5\/40 - a**4\/6 - 13*a**3\/6 + 12*a**2. Let m(z) be the first derivative of g(z). Give m(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 2405062044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 80190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 12:50 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 893.68ug?\nAnswer: 0.00000089368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3.08. Let g = 1.42 - h. Let q = -1 + 0.9. What is the closest to 5 in q, g, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 3 + 21. Let a be ((-18)\/n)\/(2 - 1) - 7133. What is a rounded to the nearest one hundred?\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 38499.3 days?\nAnswer: 3326339520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 104 + 79 - 3*u - 70. Let c be s(3). Let k(x) = 169*x. Let i(j) = -8*j. Determine c*i(w) + 5*k(w).\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*a + a + 2*u, 10 = 2*a - 4*u. Suppose -2*f - 2 = 0, -2*y + 2*f + 5 = 1. What is the smallest common multiple of a and (y\/1)\/(1\/7)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.405 and 20.1381?\nAnswer: -88.7083305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/5)*k*k*k\/(k\/(k\/(k\/(k**2*k*k*k)*k))) assuming k is positive.\nAnswer: k**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18896988\/10 - 984\/(-820). What is p rounded to the nearest ten thousand?\nAnswer: 1890000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -126679.\nAnswer: 12667.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 0 = 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -5*j + p, -2*j + 4*p + 39 = -19. Let b = -36 - -120. Calculate the greatest common divisor of j and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 10:04 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 5. Let m = 2 + -1.93. Let s = -4.07 + m. Which is the nearest to 2? (a) s (b) d (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21800000 to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13035 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w + 3*r - 11 = 0, 14858*w - 14862*w - r + 1 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8744 - 8886.07. Let h = v - -142. Which is the closest to h? (a) 0.5 (b) -0.06 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -2*f - 100 + 107, 4*f - 4*m = 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16084, -13246, -8522, -1912?\nAnswer: 6584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = t - 6. Let u(l) = 9*l + t - 265*l**2 + 258*l**2 - l**3 + 0*l**3. Give u(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 117 = 3*s, l = s + 3*l + 29. Let k = s + 51. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50226 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*f - a - a, -5*f - 3*a = -27. Solve 5*d - 2*o - 11 = -f*o, 3*d - 17 = 2*o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2221220 (base 3) to base 13.\nAnswer: -c9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 6. Let o = -0.1 + 0.2. What is the closest to 0 in 2\/7, o, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 5 (b) 0.4 (c) -0.4 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 89*f**4 + 1137*f - 83411 wrt f?\nAnswer: 356*f**3 + 1137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 129*k**3 - 1 - 4*k - 12 + k**2 + 1 - 1 + 300*k**3 wrt k?\nAnswer: 2574*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 921 and 2149?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 762 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 854.45 and -60?\nAnswer: -51267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2*y + y)*(-4*y**2 - y**2 + 4*y**2) - 5*y**3 + y**3 - 5*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 174352 + 1116?\nAnswer: 175468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3.288086 centuries?\nAnswer: 3945.7032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*s**2 - 36*s**2 - 49*s**2 - 65*s**2 - 59*s**2 to the form o*s**2 + g*s + b and give o.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1817232170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 5:47 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.24 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 105*h**3 - 11*h**2 + 5*h + 6. Let k(b) = -106*b**3 + 13*b**2 - 6*b - 7. What is 5*k(i) + 6*w(i)?\nAnswer: 100*i**3 - i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30841 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1134983112?\nAnswer: 2, 3, 331, 142873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 63*z + 694. Let g be v(-11). Is g >= -1\/1862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 95075*y + 26184*y - 43.\nAnswer: -68891*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-1) + (-5756)\/(-4966). Let j = -1\/191 + u. Let i = 3521\/13 + -271. Sort i, j, 4.\nAnswer: i, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -13*z - 11. Let v be -6*(4\/z)\/(18\/(-12)). Solve 4*m - 4 = v*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**4 - 4*f**2 - 1343*f + 172254.\nAnswer: 4*f**3 - 8*f - 1343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + -2)\/((15\/(-1556910))\/(1\/(-2))) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*j**4 - 1917*j**3 + j**2 - j + 1978094 wrt j.\nAnswer: -60*j**3 - 5751*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 820 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17793, 17714, 17641, 17574, 17513, 17458, 17409?\nAnswer: 17366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67858.07 millilitres to litres.\nAnswer: 67.85807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 11:33 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14298158*-2\nAnswer: 28596316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4.842704 centuries?\nAnswer: 5811.2448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262 = 4*l + 230. Solve 0 = -b - 3*b - 3*p - l, p - 4 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 906253057, 1812506116, 2718759175, 3625012234?\nAnswer: 4531265293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 5:00 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31 + 11 - 23)*(0 + 2*z + 0) - 6*z - 9 + 9 + (5 + 0 - 4)*(-z - 2*z + 2*z) to the form o*z + b and give o.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 49?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000190108 rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 4.649 (c) 8 (d) 17\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 43, 7, -5\/2, 0.4, -3, -6441, 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -369.8537879 to 1 decimal place.\nAnswer: -369.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 25*n**2 + 13*n + 6. Let i be x(13). Let l be 96\/18 + (-4)\/3. Suppose b - 760 = 5*r + 4740, b = -l*r - i. Round r to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33460 and 70.\nAnswer: 33460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96 + 157. Suppose 264 = -0*g - 4*g. Let t = a - g. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 0.093.\nAnswer: -0.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728647313.\nAnswer: 139, 5242067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*(-11)\/(-363)*18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/3156257 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 408*r - 302. What are the prime factors of o(11)?\nAnswer: 2, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -924634 or -924639?\nAnswer: -924639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*g + 2, o + 2*g = 2 - 0. Let n(y) = 9 + 3*y**3 - 8*y**o - 5*y**2 + 15*y - 2*y**3. List the prime factors of n(12).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g - 2. Let x(r) = r - 1. Let f(d) = -a(d) - 2*x(d). What is the derivative of f(c) wrt c?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*h + h. Suppose -h*k = -4*k + 6. Solve -k*m + 2*o = -1, 0*o + o = 2*m - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + 2*z - 2*z + (2 + 2*z - 2)*(-206 - 165 + 65).\nAnswer: -613*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281326 is divided by 541?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6920076 is divided by 331.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 4*z + 2*z)*(3*z**2 - z**2 + 2*z**2).\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/11))**(-15)\/((x\/(x\/(x*x**(-22))))\/x*x**(13\/3)))**(-28) assuming x is positive.\nAnswer: x**(-21364\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 4. Suppose 0 = -2*l + i*l. Let t be ((-6)\/(-2) + l)\/1. Is t bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 21. Suppose 40 = 2*x + 2*x. Suppose -2*q + 4*n + x = 0, q + 4*n = 5*n + 3. What is the highest common factor of q and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 156*h**2 + 316*h + 8. Let z(t) = -2 - 4*t**2 - 3*t - 1 - t**3 + 4*t**2 - 3*t**2. What is the remainder when z(-5) is divided by n(-158)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57*i**3 - 4 - 1 + 7 + 3889 + 353*i**3 - 3889 + (3 + 0 - 2)*(0*i**3 + 0*i**3 - 2*i**3).\nAnswer: 294*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**3 + 12*p**2 + 9. Calculate t(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-one halves of a year?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7159 + 7227. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5 + 23*w - 4 - 2*w**3 - 4*w**2 - 25*w. Suppose 2*k + 4 = y + y, -5*y = 3*k + 6. Give q(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11\/783 - 143539\/783. Let d = -182 - m. What is the common denominator of d and -55\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b1 (base 15) to base 6.\nAnswer: -434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 0 + 1486*o + 6 - 8018*o - 11402*o.\nAnswer: -17934*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g - 30 = -5*u, -2*g = -5*u. Let j(m) = 9*m - m**2 - 24 + 24. Is 10 a factor of j(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 6 = -6*f. Let u(c) = -c**3 - 6*c**2 - 3 - f*c + 6*c**2 - 7*c**2. What is u(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*u + 1 = -9, 5*n + u = -20. Let i(m) = -m**2 - 3*m + 12. Let z be i(n). Is z\/7 - (-82)\/7 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -81 and -44.01784.\nAnswer: -125.01784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t + 2. Let s be l(5). Suppose y - 4*y = -s. Let a = 39 + y. What is the remainder when 169 is divided by a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -149 + 93 + 37 + -32.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2746003140 to the nearest one hundred thousand.\nAnswer: 2746000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247790807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 11*m**2 + 13*m - 18. Let p be h(10). Let u be -7*p*(-3)\/(-6). Let o = 78 + u. What is the smallest common multiple of 4 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**4\/2 + 2*s**3\/3 + s**2\/2 + 116. What is l(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 212583570?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-five halves of a decade?\nAnswer: 2700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7444652 hours in microseconds?\nAnswer: 2680074720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 - 8*t**3 + t**3 + (-1386*t**2 + 1386*t**2 + 142*t**3)*(-6 + 5 + 7).\nAnswer: 846*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -13*l. Let t(p) = -6*p. Let v(j) = -9*t(j) + 4*z(j). Let q = 9 + -6. Let c(k) = -q + k**2 + 3. Give v(c(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4 - 2) + 34)*(-2)\/(-4). What is the highest common factor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*s - 5 = -1, 22 = 2*q + 2*s. Let m(b) = -9*b + 3*b + 15 - 7*b**2 + b**3 - 3*b. Calculate the remainder when 25 is divided by m(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 7*n + 6. Let u be x(6). Let g = -788 - -3942\/5. Factor 0 + g*l**2 + u*l.\nAnswer: 2*l**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11821910 rounded to the nearest 100000?\nAnswer: -11800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/13, 4\/7, 9860, 0.12, -4\/3?\nAnswer: 9860","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-6)*1)\/((-1)\/3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 14*j**2 + 19*j + 3. What is r(-12)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 3*f + 14. Suppose -27 = -5*n - 12. Let a be o(n). Let l = 5 + -6. Sort a, 5, l in decreasing order.\nAnswer: 5, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88 - 152*h**3 - 47 - h**2 + 152*h**3 - 157*h**4 + 105 wrt h.\nAnswer: -3768*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509*a - 13770 = -291*a - 371*a for a.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -166, -25, 4, 6.\nAnswer: -166, -25, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1377)\/54)\/(7\/(140\/(-16))*45\/(-72)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2785 divided by -5?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 7*m**4\/12 + 11*m**3\/3 + 21*m. What is the second derivative of j(v) wrt v?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 0*k + 10\/3*k**3 + 0 - 23\/20*k**5 + 105*k**2 + 0*k**4. What is the derivative of f(r) wrt r?\nAnswer: -138*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, -0.069, -3, -5\/3?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4165*t + 111683 = -292322 for t.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 5:14 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*q - q = 54, -5*q = z + 34. Let w = z - -14. Put 5, w, -3 in increasing order.\nAnswer: w, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 438 - 280. Is 34 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2169 and 44487.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 7:44 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*d = -6*d + 108460. Is d a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/47772 and -69\/40.\nAnswer: 477720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3261220 + -14783265\nAnswer: -11522045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 - 122. Let v = -63 - u. Solve 0*l = l + z, 0 = -2*l + v*z + 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 9*u**2 - 9*u + 9. Let o be l(7). Let y = -10 + o. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 13*u**7\/7 + 2*u**3 + 3. What is the third derivative of n(b) wrt b?\nAnswer: 1560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -492 + 15*o**3 + 492 - 5*o wrt o?\nAnswer: 90*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10653 + -1036?\nAnswer: -11711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -140 and -2.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694003527?\nAnswer: 3, 7, 61, 419, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 12*q**2 - 9*q - 12. Suppose -134*v + 133*v = -11. What is d(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-60)*-18*15. Suppose -h = -n*h. Solve 0 = -h*b + 3*b - 2*r + 20, -3*b + 5*r - 32 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.13 - -0.23. Let i = q - -3.64. Let j = -0.2 - 0. Which is the closest to j? (a) -1 (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -101250188\nAnswer: -10125018.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4940736 divided by 8?\nAnswer: 617592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2990 divided by -8562.\nAnswer: 1495\/4281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (231*l + 105 - 456*l + 227*l)*(0*l + 3 + 0*l + 3*l).\nAnswer: 6*l**2 + 321*l + 315","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254123572.\nAnswer: 2, 2879, 22067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21\/298 + -9344\/447. Calculate the common denominator of -49\/172 and i.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 1346 - 1346.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -30721?\nAnswer: 2\/30721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -124.0000418 - -124. What is n rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13867\/12 - -4615\/4. What is the nearest to u in 0.4, -2\/9, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3)*k*k*k**(-7)*((k**(-1)*k)\/k)\/k**(-1\/5) assuming k is positive.\nAnswer: k**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2725207, 5450411, 8175615?\n\"Answer: 2725204*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3676 = -3*u + m, -u - 3*m + 1232 = -0*m. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*s - 158338 = 57*s. List the prime factors of s.\nAnswer: 2, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*n = 116*n - 2160. What is the greatest common factor of n and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - 33 - (-3 + 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2382238 divided by 108?\nAnswer: 1191119\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 + 35. Suppose -3*j - 55 = 8. Let v = s - j. Sort -4, v, 3 in decreasing order.\nAnswer: 3, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**2 - 5284026*l + 2326744230723 = 0. Calculate l.\nAnswer: 880671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -4, 27, 5, -11, 0 in decreasing order.\nAnswer: 27, 20, 5, 0, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 2*r + 6 = r, -2*x - 4*r = -8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101406251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 10*k**3 + 2570*k**2 - 11. Give i(-257).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2\/z)**43)**(-47) assuming z is positive.\nAnswer: z**(-2021)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 + -56. Let q = 150 + z. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - k = 2*k + 58, -o + 4*k + 8 = 0. Suppose o*n - 9*n + 14 = 0. Let j(x) = 2*x**2 + 3*x. Determine j(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 734 and (-2898)\/(-759) + 4\/22.\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 9:59 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396 greater than or equal to 1323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 12, e: 1}. What is prob of picking 4 n?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 19, 2\/3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.6 - 6. Suppose g - 15 + 4 = 0. Let i be (-265)\/(-55) + 2\/g. Which is the second smallest value? (a) h (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -13*p**6\/120 - 187*p**5\/420 - 101*p**4\/168 - 5*p**3\/42 - 8*p**2 + 5*p + 6. Factor a(o).\nAnswer: -(o + 1)**2*(91*o + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-13350)\/125)\/(3\/(-10)). Suppose 0 = p*b - 361*b + 2235. List the prime factors of b.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 529*i**3*p*z**3 + 39*i**3*z**3 + 18*i**2*p*z**3 + 2*i**2*p + 227*i**2*z - 2*i*p*z**3 - 2*z**3 wrt i?\nAnswer: 3174*p*z**3 + 234*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 2*c + 4 + 0*c. Let z be s(-5). Let p(i) be the third derivative of 13*i**6\/120 - i**5\/30 + i**3\/6 + 224487*i**2. Calculate p(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-14)\/(-5))\/((-2)\/(-10)). Let n(g) = g - 18. Let s be n(8). Let t = c + s. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*d**2*i**3*y**2 + d**2 - d*i**2*y**2 + d*i*y**2 + 23*y**2 wrt i?\nAnswer: 348*d**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15110447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**2 + 41*q + 25. Let k(c) = 2*c**2. Give m(k(h)).\nAnswer: 4*h**2 + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (87\/(-2))\/(49\/14). Let u = -449\/35 - n. What is the closest to 0 in 4, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 154493, 154494, 154489, 154472, 154437, 154378?\n\"Answer: -n**3 + 3*n**2 - n + 154492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*l + 8 = -0, 16 = 3*v - 4*l. Let m be 3\/(v + 6\/(-4)). Let s be m\/5 - 672\/(-30). Solve 4*h = -h + 3*c - s, -2*h + 4*c = 6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18658 (base 9) in base 12?\nAnswer: -7598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(3\/4)*c*c*c*c**(-1\/4)\/c*c)\/(c*c**4*c*c**(-1\/9)) assuming c is positive.\nAnswer: c**(-25\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*sqrt(1216))**2 - (sqrt(1216) - (sqrt(1216) + -2))**2*-3.\nAnswer: -64*sqrt(19) + 1244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and -0.31.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 322? (a) 0 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 7\/60*v**5 + 0*v + 7\/80*v**6 - 2*v**3 + 1\/672*v**8 + 0 - 14*v**2 + 2\/105*v**7 - 5\/12*v**4. Let w(n) = 0. What is n?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, f: 3, h: 1, r: 1, c: 2}. What is prob of picking 1 f and 1 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 32*o**2 - 24*o - 46. Let g be t(-2). Let r(l) = -l**3 + 4*l**2 - 3*l + 1. Let q be r(5). Is (g\/q)\/((-2)\/21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 391.3 * 0.16\nAnswer: 62.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 65\/105 + ((-8)\/(-3) - 3)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15225 and 4263.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4994892.\nAnswer: 2, 3, 7, 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h + 35. Let r be t(-7). Let o be 8\/10*(-5)\/(-1). Let c = r + o. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 19*h**2 + 16*h + 27. Let a = -11 + -7. Is 29 a factor of k(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 9*q - 7*q, 5*r + 5*q = 245. What is the greatest common divisor of 204 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**3\/b*b*b**(-2\/3)*b**11\/(b**(2\/53)\/b) assuming b is positive.\nAnswer: b**(2273\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1155 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express b + 8003*b**2 - 6096*b**2 - b in the form k*b + o*b**2 + c and give o.\nAnswer: 1907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 21*d**2 + 45*d + 58. Give x(23).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -s - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 4707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f + 9. Let q(j) = -2*j - 4. Let g(i) = 13*i + 8. Let u(l) = -g(l) - 4*q(l). Let x be 47\/(-7) + 8\/(-28). Determine x*u(s) + 6*v(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/13)*t\/(((t\/(t**3*t*t)*t)\/t)\/t*t)*t)**(2\/3))**(-2\/11))**26 assuming t is positive.\nAnswer: t**(-640\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-4))**(-1\/6))**(-48))**(17\/4) assuming t is positive.\nAnswer: t**(-136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 z when two letters picked without replacement from {z: 5, e: 5, u: 3, d: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54.5 + -36. Let z = 12.6 - j. Let n = 6 + z. Which is the closest to 1? (a) 2\/3 (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1399 = 33*x - 1597 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 3*t - 12. Suppose 3*h - t = z, -h + 3*z = 3*h - 12. Suppose -8*f + 3*f + 15 = h. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxicltt. Give prob of picking 1 c, 2 x, and 1 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3*k + 706, 5*r - 3*r - 696 = -2*k. Calculate the greatest common divisor of r and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 1 + 1)*(-6*s**2 - 3*s**2 + s**2) + 2 - 4 - 2*s - 2*s**3 + 4*s.\nAnswer: 6*s**3 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-20))\/((-2)\/(-50)). Let s(x) be the second derivative of 0 - v*x**2 + 5*x - x**3. Let i(h) = -2*h**2. Calculate i(s(y)).\nAnswer: -72*y**2 - 120*y - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-227)\/(-908))\/(21\/4*2\/(-12)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 83? (a) 0.2 (b) -1\/7 (c) -1 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-4)\/8*-2*6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -67*d**2 - 8*d + 275 - 35*d**2 + 77*d**2 + 2*d - 52*d**2 wrt d.\nAnswer: -154*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -20163 and 32.2.\nAnswer: -20130.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q - 17. What is u(-13)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 8:14 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zqzqqqqqzzqqzq. What is prob of picking 3 q and 1 z?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6834)\/(-1764) - 3 - (-58)\/(-1421). Which is the nearest to 4? (a) -3\/11 (b) z (c) 0 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*k - 44 + 186, -5*m = -2*k - 234. Suppose 4*l = m + 122. What is the remainder when l is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, l: 1}. Give prob of picking 1 l and 1 d.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -276?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x*x**12)\/x)\/x**(-2\/17))**(-42) assuming x is positive.\nAnswer: x**(-9366\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -885537, -1771075, -2656605, -3542121, -4427617?\nAnswer: -5313087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (2 + -2 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 477.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqqqqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2055104650.\nAnswer: 2, 5, 41102093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 1:25 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-266))\/(1593\/3717)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -110, -198, -322, -482?\nAnswer: -678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 4*s**2 - 6*s - 1. Calculate b(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, o: 1, r: 3}. Give prob of picking 3 r.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14, 3\/2, 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 541308 + -541389.00015. Let t = -1.99 + 82.99. Let x = j + t. What is x rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**5\/5 + 7*z**4\/5 - 19*z**3\/5 - 7*z**2\/5 + 18*z\/5 = 0?\nAnswer: -9, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5326 or 5325?\nAnswer: 5326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1721\/5 - 350. Which is the closest to -0.1? (a) q (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -4*d**5\/25 + d**4 + 56*d**3\/15 - 616. Factor u(i).\nAnswer: -4*i**2*(i - 7)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -7. Factor -34*i**2 - 1 - 4*i + 19*i - 1 + 21*i**a.\nAnswer: (i - 1)*(3*i - 1)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2268042 - 2268042 - 8058*m)*(3 + 0 - 1) to the form g + c*m and give c.\nAnswer: -16116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 15 = -4*n, 4*o + 2*n = 9*o + 51. Is 13 a factor of (618\/(-42) - o)*(-35)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, k: 3, m: 2}. Give prob of picking 1 k and 2 r.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220102 (base 4) to base 5.\nAnswer: 40303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 3 + 1)*(-2*g + 2*g + g) + 17 - 36 + 14 - g)*(378 - 348 + 477 + 857) in the form y*g + h and give y.\nAnswer: -2728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 33*b**2 + 85*b + 170. Let i be a(30). Solve -32*h = i*h - 416 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000019729507 rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 6) in base 16?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -524.008469 - 3\nAnswer: -527.008469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10552, -10521, -10490, -10459?\n\"Answer: 31*u - 10583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 212020110011 (base 3) in base 4?\nAnswer: 1233223003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + ((-6530)\/50 - 45\/(-75)).\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 22 = 34. Suppose -c = -d + o*c - 12, -4*d + 4 = -3*c. Solve 3*z - d*a - 13 = 0, 0 = -0*z - 4*z - 3*a + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, d: 5, l: 11, b: 1, m: 2}. What is prob of sequence bm?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, d: 1, h: 1, i: 2, z: 1}. What is prob of sequence diiz?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44134 (base 8) to base 15.\nAnswer: 574e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 654116737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114766, 114771, 114778, 114787, 114798?\nAnswer: 114811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(77*n + 298*n + 414*n - 9*n).\nAnswer: -780*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 1 = 2*b + 3, b = u - 10. Let y(l) = -3*l**3 - 20*l**2 + 9*l + 10. Let i be y(-7). List the prime factors of b\/i - (2385\/6)\/(-3).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 1\/2 (c) -0.2 (d) -11\/20 (e) 11 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 5 (c) -2 (d) -1 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(198\/4)\/(-11). Suppose -k = u - 12. Put 1, -12, u, -2 in decreasing order.\nAnswer: u, 1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**5 - 15*i**4\/4 - 5*i**3\/3 + 15*i**2\/2 - 73. Factor m(k).\nAnswer: 5*k*(k - 3)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232394951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-84)*60*3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9024.064 nanograms to tonnes.\nAnswer: 0.000000000009024064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**4 + 281*n**2 + 524*n wrt n.\nAnswer: 12*n**2 + 562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-4 - 25\/5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198657 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 8 - 3 + (-2 + 1 - 2)*(4 - 9 - 8) + (2 + 0 - 4)*(2 + 3 - 6))*(2*i + 1 + 3 - 2).\nAnswer: 68*i + 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1946)\/(-18) + (8\/(-9))\/8 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -5283847558777.\nAnswer: -5283847558779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*b**2 - 6*b**2 - 9*b**2 - 2*b**2 - 7*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/592013 or -0.1?\nAnswer: -4\/592013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(275)) + 1 + sqrt(275) + 0 + (2 + sqrt(275))*3*4)*6.\nAnswer: 114 + 210*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12125, -23337, -34579, -45863, -57201, -68605?\nAnswer: -80087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (136\/(-14))\/((-30)\/105). Find the third derivative of -6*h**4 - 8*h**4 + 9*h**4 + 7*h**2 + n*h**2 wrt h.\nAnswer: -120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-10) + 1)*(36 + -41)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in centimeters?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 168.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s\/((s**6*s)\/s)*s)\/s)\/(s\/((s**(-5)*s*s*s)\/s))*(s*s**(3\/5)*s)\/(s\/s**2))\/((s**(1\/4))**(-46)\/(s**5*s*s*(s\/s**(-6))\/s)) assuming s is positive.\nAnswer: s**(211\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -297*u**2 - u + 16. Let v(h) = -h. What is v(y(n))?\nAnswer: 297*n**2 + n - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 23*n + 2*n**2 + 2 + 0 - 43*n + 17*n - n**3. Suppose -4*c - 5*u = -u + 8, 0 = u + 4. What is r(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 2105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**3\/8 + 784*u**2 + 2511069*u\/2 + 81790434 = 0.\nAnswer: -3102, -68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2110, 4296, 6464, 8608, 10722, 12800?\nAnswer: 14836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59925132 - 2.\nAnswer: -59925134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -7, 5, 24, 3, -1, -70 in ascending order.\nAnswer: -70, -7, -6, -1, 3, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1508, -1503, -1498, -1493, -1488, -1483?\nAnswer: -1478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45078 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -363 - -417. List the prime factors of (0 - 87\/(-6))*l.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2816) - 6*(sqrt(2816) + -2) - (-1 + sqrt(2816) + -3))*-6*6 + 5)**2.\nAnswer: -3946752*sqrt(11) + 131709337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 2, -0.4, -1\/21, -1\/5?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(8*l - 7*l - 10*l).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-125 + -21)\/(3\/(-27)*-2). Let i = 683 + g. Solve -i*m + 25*m + 4 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**6\/420 + h**5\/210 - 4*h**4\/21 + 20*h**3\/21 + 185*h**2\/2 + 149. Let v(j) be the second derivative of o(j). Factor v(a).\nAnswer: 2*(a - 2)**2*(a + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/19)\/r*r)**(-4\/23) assuming r is positive.\nAnswer: r**(8\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248706 is divided by 1330?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 6:25 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4912710 by -6.\nAnswer: -818785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -11, 5, -9, -3, -555 in ascending order.\nAnswer: -555, -11, -9, -3, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2133*l**3 + 261 wrt l.\nAnswer: -6399*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 3 - 9 - 11*n**2.\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 17 = -4*r, 2*r + 4*m = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, e: 3, a: 6, i: 2, o: 2, n: 1}. Give prob of sequence en.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2538 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: Simplify ((l\/(l**(-29)*l*l))\/(l*l*l\/l**26))**(1\/20) assuming l is positive.\nAnswer: l**(51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 - z + 59. Let h = -136 + 118. Let l be x(h). Suppose l = -a + 6*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, p: 3}. Give prob of picking 4 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -9. Let f = i - -8. Suppose 2*w - 180 - 10 = -f*k, -2*w = -2. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-433829)\/14036 + 31 + (-2)\/29.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 13*o + 205758 = 48*o. List the prime factors of o.\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 2*b - 60. Suppose b = 3*t + 4. Suppose 3*q - 91 = -t*s + 228, -3*q = s - 323. What are the prime factors of q?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4756 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 315551110 a multiple of 1190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.409888 and 1.6.\nAnswer: 3.8558208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 25*x - 37. Determine n(-7).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/14)\/(225\/56). Let q = -3\/25 - d. What is the second biggest value in 21, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100101 - 10?\nAnswer: 1100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 11*m**2 + 15. Let t be g(11). Suppose x = -4*q, -5*x - 6*q = -q + t. Put 2, 5, x in ascending order.\nAnswer: x, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26712 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1083 is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-60)\/(-35)*(1 - -377). Suppose 604 - s = -11*z. Suppose 1 - 4 = -i. Solve 5*v + 20 = -z*b, 4*v + 19 = i for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 0*f - 5 + 0*f + 18174*f**2 - 18175*f**2. Let k(o) = o**2 + 2*o + 1. Let g be k(-1). Calculate y(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199, -419, -641, -865?\nAnswer: -1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 + 3.02. Which is the closest to 0? (a) -3\/4 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 12\/25 of a kilometer?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ag when two letters picked without replacement from {g: 1, x: 1, m: 3, b: 1, a: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhbbhhhhbbbhhbbbbbb. What is prob of picking 3 b and 1 h?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 1. Let i(g) be the third derivative of g**4\/12 + 5*g**3\/6 - 28*g**2 + 9. Let h be -4 + -1*(-4)\/(-2). What is h*n(w) + i(w)?\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 1. Suppose 3*a - 59 = -x. Suppose -5*t + 146 = 56. Calculate the highest common factor of t and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 368438385 to the nearest integer?\nAnswer: 19195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -791*b**4 - 3*b**2 - 3*b - 358. Let c(w) = 2379*w**4 + 8*w**2 + 8*w + 1076. Let n(d) = 3*c(d) + 8*s(d). Differentiate n(l) wrt l.\nAnswer: 3236*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 229596971 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c + 2. Let b be 141*6\/36 - (-1)\/2. Let u(j) = -43*j + 3 + 22*j + b*j. Give -3*d(s) + 2*u(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -4*j - 3*y - 126, 121 = 3*j + 2*y. Suppose -3*k + 155 = m + 8, 3*m = -k + j. Solve 4*g - 32 = -4*b, -3*g - 5*b = -k + 18 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18924a5 (base 11) to base 8.\nAnswer: -14140167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2 - 4*k - 24. Suppose -13*b - 2*j = -15*b + 4, -9 = -3*j. Let u(d) = -5*d**2 - 6*d - 36. What is b*u(z) - 8*y(z)?\nAnswer: -z**2 + 2*z + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 divided by -11?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.834897 weeks in days?\nAnswer: 26.844279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4938 times 0.2\nAnswer: -987.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1161 or 3677?\nAnswer: 1161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -11, -31, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q + 2*y + 7 = 17*q, 3*q - 12 = 3*y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 684 divided by -12\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7*9\/(-126)*-14. Let n(d) = -d**3 + 6*d**2 + 11*d - 7. Calculate n(c).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4 + 4, -2*x - 574112 = -4*i. Suppose -4*n = 4*v - 123600, 0 = 5*n + 2*v - 10974 - i. Round n to the nearest 1000.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 1\/28*o**8 + 0*o**6 - 1\/4*o**4 + 0*o**7 + 0 + 0*o**5 + 0*o**2 + 0*o**3 + 3*o. Find the third derivative of c(r) wrt r.\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3947.18ml?\nAnswer: 3.94718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -38 - 0) + (65 - (-22 + 77))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 121900437 + -0.1?\nAnswer: 121900436.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 2 (b) 0.5 (c) -0.55 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*x**5 - 4*x**5 - 13*x**5 + (-3*x**2 - 2*x**2 + 3*x**2)*(12*x**3 - 12*x**3 + 25*x**3).\nAnswer: -74*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -576 - -592. Let q(u) = u**3 - 17*u**2 + 16*u + 23. Calculate the remainder when q(k) is divided by 25\/2*(-12)\/(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 1:56 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122 and 3782.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -1 + -2 - (-2 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**3*t**(2\/19)*((t*t**6*t)\/t)\/t*t\/(t**(-3\/2)*t)*t\/(t**0*t)*t**(1\/7)*(t\/(t*(t\/(t\/(t\/t**(-6)))*t)\/t))\/t**(2\/3) assuming t is positive.\nAnswer: t**(3257\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 368 divided by -59?\nAnswer: -368\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 556*d - 221*d**2 + 546*d - 2210*d + 555*d + 553*d.\nAnswer: -221*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**3\/5 - 20*n**2 + 2561*n\/5 + 65604 = 0.\nAnswer: -84, -71, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.12*1.2\nAnswer: -0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*a - 53*a = y + 29, -5*y + 3*a - 97 = 0. Let n(w) = 8*w**2 + 7*w. Let u(p) = -23*p**2 - 20*p. Give y*n(z) - 6*u(z).\nAnswer: 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.216 - 0.416. What is the nearest to -1 in 0.18, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889346 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -61*i + 63*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -10.08.\nAnswer: -6.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*u = w - 23, 5*w - 3*u = 63. Suppose -3*r - 6 = -w. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.517, 2\/35, 0.205?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -627 - -5.\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 6*r - 38. Suppose 3*q - j - 10 = 2*q, 2*q - 16 = j. Is r bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 140 + -142. What is the closest to 8\/7 in 0, o, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47294 divided by 221?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = s - 5, -20*p = -25*p. Solve h = -3*v + 4*h, 0 = -4*v - h + s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24073*p + 24073*p + 5*p**3 + 28*p**2)*(1 - 1 - 2*p)*(-5 + 1 + 3).\nAnswer: 10*p**4 + 56*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5244.5062 - 5245. Round o to 2 dps.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -1, -2, 3, 0.3, -218 in decreasing order.\nAnswer: 3, 4\/7, 0.3, -1, -2, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**3 + 82503*g**2 - 2 - 2 - 82501*g**2 - 63*g + 3*g**3 in the form u*g + t*g**3 + r + m*g**2 and give u.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2497782\/241 or -10363?\nAnswer: -2497782\/241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 + 38*w**2 - 41*w**2 - 11*w + 2*w + (-38 + 72 - 44)*(-w**3 - w**5 + w**3) + w + 2*w**5 - w.\nAnswer: 11*w**5 - 3*w**2 - 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y - 138 - 254. Let u = y - -58. Solve 0*c = -u*v - c + 12, -3*v = -2*c - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321177 rounded to the nearest 1000?\nAnswer: 321000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - -20 - 12) + (-1 - -14) + 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -378 and 841798.\nAnswer: 841420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1425 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) 1 (c) 0 (d) -6.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 9*v**2 - 3*v + 9. Let h be x(8). Let w = h + 82. Let c be w*(-62)\/(-3)*3\/6. Solve 5*u - 9 = 3*j - c, -14 = 3*u - j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 24*z**2 + 82*z + 48. Let j be y(-27). Solve -89 = j*b - 68 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 340165 and 14736.89?\nAnswer: 325428.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 8. Let l = -2893.5 - -2893. Which is the second smallest value? (a) l (b) 24 (c) h (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 348*r**2 - r + 35. What is f(0)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.33 (b) 3\/4 (c) -2\/17 (d) -2 (e) -88.9 (f) -3 (g) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1348388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvqjttvqpqoq. What is prob of picking 1 t and 1 v?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1640?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 819385.\nAnswer: 5, 7, 41, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83.3 + -83. What is the closest to -9 in 0.5, g, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 46 + 2. Let k(v) = p*v**2 + 21*v**2 - 21*v**2 + 15*v**2. Let y(z) = z. Determine k(y(n)).\nAnswer: 31*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 times -3498499?\nAnswer: 220405437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.21587*232.\nAnswer: -50.08184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2097?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-1) - 3\/1. Let i(u) = 5*u**3 + 3*u**2 + 6*u + 3. Let t(k) = -6*k**3 - 4*k**2 - 7*k - 4. What is q*i(j) - 3*t(j)?\nAnswer: -2*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-60)*10\/4*28\/6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1.4. Let w = -47.64 - -48. Let o = w - 1.36. Put 4, o, d in descending order.\nAnswer: 4, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*r**2 + 229 - 229 + 2*r**4)*(-2 + 5 - 1).\nAnswer: 4*r**4 - 22*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 41*y**3 + 6*y**2 + 6*y - 24. Let p(j) = -41*j**3 - 5*j**2 - 5*j + 23. Let k(f) = -5*p(f) - 4*s(f). Is k(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 6:48 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -275, -282, -293, -308?\n\"Answer: -2*n**2 - n - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21904*h**2 - 105074672*h - 126012220324.\nAnswer: -4*(74*h + 177491)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 22 = 26. Let u be 32\/3 - (-2)\/(-3). Let t = q - u. Solve j = -4*p, 3*p + t*p = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 897 and 18747300?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/2)\/(((-25)\/(-300))\/((-12)\/24)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1104 or -1100?\nAnswer: -1104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 5 + 134*n**2 + 9 + 10.\nAnswer: 134*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1057453778 to the nearest integer?\nAnswer: 32519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 6*v**2 - 4*v**2 + (-8*v + 9 - 9)*(1 - 1 - v) to the form u*v + s*v**2 + f and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 219.7 + -110. Let j = 110 - y. Sort j, -5, -0.3 in decreasing order.\nAnswer: j, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**13\/r*r\/(r*r\/(r\/r**(-1\/5))*r*r))**(-21) assuming r is positive.\nAnswer: r**(-1071\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -16. Suppose 2*j = -5*f - x, -j = 5*f - 2*f + 6. Let i be 482\/j + (-2)\/6. What is the highest common divisor of 16 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 - 45. Suppose 0 = z + z + 3*b + 9, z - x = 3*b. Suppose -2*p - 4*a + 25 + 11 = z, 2*p - 4*a = 52. What is the highest common factor of 55 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - (37 - (-33 - -7))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(7995\/164)*25\/(-24).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 2\/47, 11, -3, -5\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 12.833643.\nAnswer: -3.8500929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 5) to base 7\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxppbtbp. Give prob of picking 2 p and 1 t.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) 2 (c) -3\/16 (d) -64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -647, -1365, -2083, -2801?\nAnswer: -3519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2. Let b(u) = 2 - u**2 - 3 + 0*u**2. Let f = -3 - -2. Let j(s) = 3*s**2 + 4. Let a(w) = f*j(w) - 4*b(w). Give a(c(v)).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -108595998.\nAnswer: 2\/54297999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -101100100100110010?\nAnswer: 101100100100110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12362*m + 13673.\nAnswer: 12362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 165493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + (sqrt(80) - (sqrt(80) + 1 + sqrt(80) - sqrt(80))))*5 - -5*(sqrt(80) + 4))**2.\nAnswer: 1200*sqrt(5) + 8225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2161 by 4.\nAnswer: -2161\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18890\/6 - 12\/36. Suppose -a = -1, -o = 2*m + 3*a - 8953. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2023493\/744 - 21777\/8. Let u = b - 9\/31. What is the second smallest value in u, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 4 + -3)\/(-1). What is the units digit of (62 - (-3)\/n) + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-105290)\/20)\/((-3)\/2 - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 68020\/64*(-4)\/130. Let o = x + 21\/104. Calculate the common denominator of o and -81\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 12*o + 14. Let r be h(13). Suppose 3 = 2*a + r. Let c be (-3)\/a*(-12)\/(-18). Put -5, c, 2 in descending order.\nAnswer: 2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3025 + 10377. Let a be (-6)\/11 - p\/(-88). What is a rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 0.02, 1\/14, -24880?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-30)\/(-9))\/(28\/(-14)))\/(1\/3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**6\/120 - 11*g**5\/60 - 5*g**4\/8 + 9*g**3\/2 + 10*g**2 + 36. Suppose w(j) = 0. Calculate j.\nAnswer: -9, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, b: 3, j: 2, u: 8}. What is prob of sequence vu?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*f + 10, -3*o + 4 = 2*f - f. Suppose -o*z = -9*z + 3374. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4*s + 9 - 3 + 34*s**2 - 14*s**2 - 30*s**2 = 0.\nAnswer: -1, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3882.6 - 3882.599946599. What is q rounded to 7 dps?\nAnswer: 0.0000534","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - (-5 - 25)) + 1. Suppose -c - 390 = -6*u. What is the remainder when u is divided by 30?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 6 = -6*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -5, 3.8, -4 in descending order.\nAnswer: 3.8, -0.06, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 1 - 2*n**2 - 6*n - n**3 - 2*n**2 - 7. Let l be d(-4). What is the fourth smallest value in 4, 1, -5, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (23 - 0) + -13 + 15. Suppose 27*w - 24 = x*w. Let g(f) = 15*f - 8. Is 43 a factor of g(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12762*f**2 - 109*f - 2562977?\nAnswer: -25524*f - 109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-116)\/(-39))\/1*(-22506)\/(-682) - 6\/39?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26*100\/(-200) + (-86)\/(-12)?\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 217543 by -479.\nAnswer: -217543\/479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4) + 7\/(-2). Suppose -4 = s - 5*u - 14, 5*s - 5*u + 10 = 0. Let f be (-18)\/(-27) + -2 + 1. What is the closest to f in s, w, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = x. What is the first derivative of 0*c**3 + 0*c**3 + 4 - x*c**4 - 2*c**4 wrt c?\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 3*u**3)*((296*u + 4008 - 4008)*(-2 + 1 + 2) - u + u + 2*u) as t + g*u + p*u**3 + v*u**2 + x*u**4 and give x.\nAnswer: 894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*t + 4*n, -2*t = -t - 5*n. Let p be (-3)\/(((-18)\/24)\/(-1)). Let g be p\/18 - (-395)\/(-45). Which is smaller: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o - 1. Let v(b) = 3*b - 1. Let c(k) = 4*t(k) + 5*v(k). What is c(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193.28311 rounded to one decimal place?\nAnswer: -193.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1453276?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.23 - 0.27. Let i = -2464\/3 - -822. What is the second smallest value in u, 0.6, -4, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 931 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 251053165 to the power of 1\/2, to the nearest integer?\nAnswer: 15845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*24\/(-304))\/(12\/(-8)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -173 + -4 + -240 + 407?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 67\/2. Let l be (-6*(-15)\/(-9760))\/(1\/(-4)). Let z = l + -536\/61. What is the common denominator of z and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -40440, -3486 in decreasing order.\nAnswer: 2\/3, -3486, -40440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 21 - 13. Let t(f) = f**2 - 12*f + 11. Let o be t(8). Put o, -0.2, -2\/7, s in decreasing order.\nAnswer: s, -0.2, -2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -3.5, 0.1, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 11:50 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 (base 8) in base 2?\nAnswer: -10000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**4 + 2739*n**3\/5 - 451692*n**2\/5 + 3998592*n - 11197440 = 0.\nAnswer: 3, 324\/5, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.6 - -5.8. Let u be -1*(0 - 3) + 5. Let p be 1*u\/(-4) - -1. Which is the closest to p? (a) -7 (b) q (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13337420.2362 + 0.5?\nAnswer: -13337419.7362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n**4 + 357051*n**3 - 4*n - 191758?\nAnswer: -36*n**2 + 2142306*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -21. Let h be (-408)\/85 + u\/(-10). Let l be 5 - 1 - (-20)\/h. Solve -5*w + 3*d + 12 = -0*w, 5*w + 4*d + 16 = l for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*r = -47*r + 22. Suppose 2*o + 3*z + 1 = 20, -5*o = -z - r. What is the units digit of ((-2)\/o)\/(3\/(-60))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*j**3 - 4*j**2 - 116*j - 45*j**3 - 47*j**3 + 131*j**3 - 253*j wrt j.\nAnswer: -18*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -902060.11 take away -0.4549?\nAnswer: -902059.6551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 110 - -894. List the prime factors of b.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -285.4 - -285.5. Let z = -264 + 263.7. Which is the closest to 1? (a) -2\/3 (b) 5 (c) z (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -189 + 184. Let c = -37 + 43. Let w(o) = 5*o - 5. Let k(s) = 4*s - 4. Determine c*k(v) + u*w(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62463 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 16 = -5*q, 2*q + 755*l - 753*l - 2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 109008 divided by -1\nAnswer: -109008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991174105.\nAnswer: 5, 101, 311, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 133131 and 133130 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 48*k + 625. Let s be q(-13). Sort 55, 3, -13, s in descending order.\nAnswer: 55, 3, s, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 180 = 6*q. What is the least common multiple of 48 and q?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-1)\/7*(-2 - -13)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 99704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*n + 4*b = -8, -4*n - 4 = 2*b. Suppose -52*y + 78 = -13*y. Suppose y = r - n. Solve -3*q - 25 = -4*t, r*q + 3*q + 3*t = -3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6808190 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7160 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 8*q - 2*q)*(1829 + 2298 - 699).\nAnswer: 17140*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 11*l**2 + 6*l + 10. Let q be v(-10). Let r be 9*(12\/(-3) + 5). Suppose 4*b = r*b - q. Solve 5 + b = -5*p, 0 = 2*a + p + 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2862.9 (b) 1 (c) 0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -388.9703 - 0.1297. Let q = w - -389. Which is bigger: q or -91?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(19)*-1 + -3 + 5*sqrt(19)*-3*5.\nAnswer: -76*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0 - 3, z = 5*t - 106. Suppose -n + 50 = i, -n = 3*i - 38 - 10. Calculate the smallest common multiple of t and n.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 479, 439, 347, 179, -89?\n\"Answer: -4*t**3 - 2*t**2 - 6*t + 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 1 + 1 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 229\/8821930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 322 - 102?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + 0. Let c(v) = -v**3 + 8*v**2 - 5*v - 7. Suppose 35 = 4*f + f. Let p be c(f). Are p and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 + -58. Suppose w - 3*z = -2*w - 33, -5*w - 79 = z. Which is greater: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6759 + 14132 = 23*l - 17467. Does 135 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104775000 rounded to the nearest 1000000?\nAnswer: -105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -904*r**3 - 15282*r**2 - 55404*r + 80190 = 0. What is r?\nAnswer: -9, 495\/452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 22*i. Let x be v(-22). Which is bigger: x or 5\/14?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-12) + (112\/(-1512))\/(2\/(-18)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 563430 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 4 + 5*b**2 + 0*b**3 + 2 + 2*b**3 - 7*b. Calculate j(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 3, 2, 5, 4, 0 in decreasing order.\nAnswer: 14, 5, 4, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 2\/15*w**5 + 0 + 0*w**4 - 1\/240*w**6 + 147*w**2 + 0*w + 0*w**3. What is m in l(m) = 0?\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/2, 0.5, 4.\nAnswer: -4, -1\/2, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d = 21 - 276. Solve 12 = 12*l - d*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 479 divided by -11632\nAnswer: -479\/11632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4114, -3963, -3812, -3661, -3510, -3359?\nAnswer: -3208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttwy when four letters picked without replacement from {w: 1, y: 2, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -3, -1\/152 in decreasing order.\nAnswer: 0.1, -1\/152, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-990)\/(-252) - (4 - -3) and 109\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - c = -8, -15095*r - c = -15091*r - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -51120621 at least -51120619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 806776.3 millilitres?\nAnswer: 806.7763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42278102 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 709 - 699 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c0 - -3?\nAnswer: -3bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -3*t**5\/20 - 227*t**4\/12 + 460*t**3\/9 - 154*t**2\/3 + 2*t - 4. Factor z(i).\nAnswer: -(i + 77)*(3*i - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4131 and 389997?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-486)\/(-1215))\/(((-2)\/2)\/(-2)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1158 + 2032. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -61?\nAnswer: -5\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12 + (-451)\/33 + 81440\/12.\nAnswer: 5, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2065 + -2058. What is the remainder when (-3)\/2*68\/(-6) is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 1403*u**2 + 4*u - 2. What are the prime factors of o(1)?\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40\/3343 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13.7838 (b) -5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 0.03 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {e: 3, i: 3, b: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oaooaoaeoeaaoiaeeo. Give prob of picking 1 i and 3 a.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (154\/(-21))\/((-60)\/90)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(77)*6)\/(sqrt(704)*1))**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 12:48 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 - 465\/(-132)*-2 - (-5310)\/660. Suppose 18 = u - 15. Solve 12 = -4*k - o, -4*p - 5*k - u = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4672*f**2 - 4441*f**2 + 12*f + 9118*f**2 - 12*f.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-1) - (4 + (-104)\/8). Suppose -538 + 1858 = k*a. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3183 is divided by 755?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2604*u**2 + 172*u - 170*u - 8018*u**2 as n*u**2 + s*u + a and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 2361*d + 64563. Calculate s(-27).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 9*n**2 - 96. Let j(y) = -4*y**2 + 48. Determine -7*j(s) - 3*k(s).\nAnswer: s**2 - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 40108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((0\/2)\/(-1))\/(-1). Suppose 5*r = -x*r + 15. Factor -2*t**4 - t - 2*t**2 - 4*t**r - t + 2*t.\nAnswer: -2*t**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, -2, 2\/7, -9, -5, -12.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.342 plus -45946.33?\nAnswer: -45946.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 7*v**2 - 6*v - 3. Let u be z(6). Let f = -97.4 - -97. Which is the smallest value? (a) f (b) 0.2 (c) 2\/9 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -870 divided by -6.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r. Let m(w) = -12*w. Let p(g) = 5*m(g) - 28*t(g). Let j(y) = -5*y**2 + 4. Let z(d) = -d**2 + 1. Let q(h) = j(h) - 4*z(h). Give p(q(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -27\/11?\nAnswer: -27\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.967 rounded to 1 decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**4\/24 + 7*u**3\/6 + 11*u**2. Let a be f(0). What is the third derivative of y**4 + 2*y**2 + a*y**4 - y**4 wrt y?\nAnswer: 168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3476*z**4 - 1949?\nAnswer: 13904*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 959511 < 959708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17623770 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 162652, 317125, 471598?\n\"Answer: 154473*y + 8179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120112 - -11?\nAnswer: 120123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-w**4 + 2*w**4 - 3*w**4)*(3*w - 3*w + 2*w).\nAnswer: -4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 19327110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(80) + sqrt(5))**2 + -2 + -1 + sqrt(5) - (sqrt(180) + (sqrt(180) - 6*sqrt(180)) + -5)**2.\nAnswer: -2784 - 239*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (154\/(-4))\/(8\/16). Let d = -72 - g. Solve 0 = 2*w - d*w - 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/11 or -2\/67489?\nAnswer: -2\/67489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 10:17 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1732523 is divided by 1181.\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 14, r: 4}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*t + 55 = -3, 4*i + 3*t = 63. Suppose -264 = -4*z + 4*y, -4*z + y = -y - 260. Suppose -60*b = -z*b + i. Solve 0 - b = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2382389 divided by 6?\nAnswer: -2382389\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/8520 and 125\/114?\nAnswer: 161880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 39 = -16*j. Suppose -6*d - j*d + 72 = 0. Which is bigger: 58\/7 or d?\nAnswer: 58\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*k**3 + 26*k**3 - 1391*k - 4135*k - 9265*k + 63*k**2 wrt k?\nAnswer: -30*k + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s**2 + 2*s - 1. Let o(q) = -5*q**2 + q + 6. Let x(a) = 2*j(a) - o(a). Let u(p) = 2*p**2 - 5*p + 12. Suppose -y + 5 + 0 = 0. Give y*u(v) + 8*x(v).\nAnswer: 2*v**2 - v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 + 2*y. Suppose -4*g = -3*z + 149, 0 = 7*g - 3*g + 3*z + 179. Let f = -41 - g. Suppose -1 = w, 6 = -4*d - f*d + 2*w. What is k(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 665 a factor of 3605630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*g = 225. Let w(t) = 76 - 3*t - g + 4*t. Let f be 4\/6*6\/(-4). Give w(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**3 + 1594*t**2 - 5887*t - 1077. Give a(-535).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + y + 10. Let b = -27 - -27. Let l be f(b). What is the highest common factor of 80 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((32\/30)\/((-144144)\/(-13860)))\/(3\/((-9)\/(-2))).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4 + 926 - 6525475*s + 6525123*s wrt s?\nAnswer: -352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6529 or 6543?\nAnswer: 6529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -1\/5, -214834?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.5 + -10. Let m = -1.5 - u. What is the biggest value in 0.2, m, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3\/7 + 347572*x**2\/7 + 397240*x + 4171056\/7 = 0 for x.\nAnswer: -6, -2, 173794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 2799 = -159. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0489272 to 4 decimal places.\nAnswer: 0.0489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 6*a + 19. Let v = -41 - -121. Suppose 14*z = 6*z + v. Is k(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - 90) + 55 + (-192)\/(-22)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8d + 6e6?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -27 - (1 + 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 292.7801 millilitres to litres.\nAnswer: 0.2927801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a - a - 3*a)*((-2 + 5 - 2)*(5*a + 0*a - 2*a) + 19*a + 6*a - 3*a) as q + n*a**2 + o*a and give n.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/18 - (-80)\/36. Let a(v) be the second derivative of 0*v**3 + 0 - 1\/12*v**4 + 2*v + 0*v**u. Let r(l) = -2*l. Determine r(a(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 4204644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 9*s**2. Let f(b) = -b**3 - b**2 - b - 2. Let t be f(-2). Let q(w) = -10*w + 11*w - t*w. Calculate a(q(i)).\nAnswer: 81*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*w = -1467*w + 94*w - 64630 for w.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 3. Let a be s(4). Let i = -12 - a. Let f(u) = u**2 + 4*u + 4. Is f(i) 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 503, 263, -385, -1645, -3721, -6817, -11137, -16885?\n\"Answer: -34*n**3 - 2*n + 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/4 (b) -162 (c) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.75 and 110358.\nAnswer: 110357.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - l - 7, -n + 2 - 3 = -2*l. Let t(h) be the second derivative of 2\/9*h**n - 4*h + 1\/3*h**2 + 1\/18*h**4 + 0. Let t(b) = 0. What is b?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, u: 2, i: 2, q: 1, w: 5}. What is prob of sequence ic?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + -21. Suppose v - j - b + 3 = 0, -2*j - 44 = -4*v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 11*p + 2*q + 20, 3*p = -q + 1. Suppose -b + 60 = p*b. Let m = 2 - -4. Calculate the smallest common multiple of b and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*w + 1100 = 113*w + 40*w. What is the remainder when 410 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 831394902 divided by -10658909\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 97006741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3776 = 3200*j - 3318*j for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2)*(3 + 2 - 4)*(4*i**2 - 2*i**2 + 4*i**2) to the form a*i**2 + v*i + y and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.2 - 11. Let k = -15.8 - i. Let r = k - -15.062. Round r to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -8*r + 6. Let t(v) = -17*v + 13. Let j(x) = -13*i(x) + 6*t(x). Let f(k) = -27*k**2. Give f(j(d)).\nAnswer: -108*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233 = 196*k - 2119. Solve -k*j - 2 = 22 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(3)*-4)\/((sqrt(192)\/sqrt(4))\/sqrt(12))*2.\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 816 - 1244. Let b be (l\/18)\/(6\/(-27)). Sort -4, b, 1 in decreasing order.\nAnswer: b, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/12 - (-75)\/12. Let w(l) = 8 + 7*l + 2 + 7*l - a*l. Suppose 5 - 1 = 2*c. Let y(s) = -s - 1. What is c*w(x) + 18*y(x)?\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*q + 4. Let t be 7\/(-14) + 51\/q. Let g = t + -8. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.327 + 427731251.\nAnswer: 427731244.673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -1, 3, 2, -19.\nAnswer: -19, -1, 2, 3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2234861.\nAnswer: 59, 37879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 6:19 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 12:49 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - 25592.9.\nAnswer: -25605.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-5 + 3) - (-5 - -1). Suppose -8*i + y*i = -10. Calculate the remainder when 98 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w - 8. Let v(z) = -3*z**2 - 4*z. Let i(c) = -c**2 - c. Let q(l) = -4*i(l) + v(l). Determine k(q(h)).\nAnswer: -4*h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 216 = 4*u + 26*u - 0*m, 0 = u + 41*m - 46*m - 23 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/5*(-20)\/8 - (28 - (-20 + 44))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -496695, -496494, -496293, -496092, -495891?\nAnswer: -495690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n + 41. Let l be p(8). Solve a + 5*k - k = l, 2*a = 4*k - 26 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - 54. What is the remainder when 14 is divided by b\/(-35) + (-12)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 4*l + 10. Find the third derivative of -6*s**2 + l*s**3 - 2*s**3 + 0*s**3 wrt s.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 152*z**2 - z. Let m(s) = -3*s**2. Calculate r(m(v)).\nAnswer: 1368*v**4 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -59. Let o = -21 + q. Let v(c) = -c - 2. What is the lowest common multiple of o and v(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.4 + -3.5. Suppose -4*n = 7*n - 7920. Let v = 20157\/28 - n. Is v bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2153100 is divided by 627?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4*p - 40. Let y(l) = l**3 - 2*l**2 - 3. Let w(v) = -2*v**3 + 4*v**2 + 7. Let i(r) = p*y(r) - 2*w(r). Calculate i(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 2*o**2 + 2*o + 2. Let p be (-14)\/8 + (-2)\/8. Let c be y(p). Is 4\/((-4)\/(-5)) - c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, 24, 82, 162, 264?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/1014701 or -1?\nAnswer: 3\/1014701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 - 8*g**2 - 7*g + 11. Let a be x(-8). Suppose 0 = 2*d - 3*m - 714, -3*d + 615 = 4*m - 473. Let i = a - d. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/50 and -43\/1254035.\nAnswer: 12540350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, s: 1, k: 4, i: 1, d: 1, p: 5}. Give prob of picking 2 k.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4.4. Which is the third smallest value? (a) -195 (b) h (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + sqrt(10)*-2 + sqrt(10) + sqrt(10) + sqrt(10))\/sqrt(2) + 4 + 1.\nAnswer: 2*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*o + 136*o + 76*o)*(2*o - 4*o - 6*o).\nAnswer: -2144*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -37, 0, 225, 1\/4, 0.2?\nAnswer: 225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 17. Let u = m - -13. Suppose u*l = -0*l. Is l at most as big as 1\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 24, 8, 29.\nAnswer: 8, 21, 24, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58521 - -58520.9999958101. Round a to 7 decimal places.\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 84*b**2 + 588*b - 1372.\nAnswer: 4*(b - 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 49183*u + 295083. Determine n(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97923.5 - 11042.139.\nAnswer: -108965.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -24 + 54 - 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31116377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7740*h + 4134*h + 1222*h + 6154*h - 4113*h to d + m*h and give m.\nAnswer: 15137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2. Let i(r) = -18*r**2. Let a(n) = 6*i(n) - 52*q(n). Let w(y) = -3*y**2. Determine w(a(v)).\nAnswer: -48*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -525.16 to the nearest 10.\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 371 - 165. Let n = q + -203. Let g = 1 + 2. Solve 0*j - g = n*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -9*l**2 - 11*l - 56. Let j(o) = -5*o**2 - 2*o - 1. Give -i(m) + 2*j(m).\nAnswer: -m**2 + 7*m + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -80. Let c = y + 33. Is 18 a factor of 535\/30 - c\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 3\/18*-8\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.089918 milliseconds in microseconds?\nAnswer: 8089.918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 17\/15 (b) -4\/9 (c) 6 (d) -1 (e) 35 (f) -2 (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -229*o*v + 16010574*o - 4024*v wrt v.\nAnswer: -229*o - 4024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/79311 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108275547?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 279*w - 313*w + 911*w - 312*w.\nAnswer: 7*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5127 is divided by 2557.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1041 is divided by 33?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 80 = -18*w + 75 - 31, w - 14 = -2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2077*k - 170 = -2087*k. Calculate the greatest common factor of 2329 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78 + -40. Calculate the greatest common factor of 266 and b.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90867329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 11 = -2*a, 2 = -3*a - j + 11. Suppose 70 = 3*k - a*p, -3*k + 3*p + 84 = k. What is the smallest common multiple of k and (-4)\/(-10)*(-3)\/(6\/(-10))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = f + 1, 5*l - f + 5 = -10. Let b(k) = -6*k - 39. Let g be b(-7). Suppose 0*q + 3*t - 27 = 3*q, 5*q - 3*t + 51 = 0. Sort q, g, l, -3.\nAnswer: q, l, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(700)*-2*2)**2 - (2 + sqrt(700)*-1 - 4*(sqrt(700) - (sqrt(700) - sqrt(700)*2))**2)) + -3 + 5*(4*(-3 + -1*sqrt(700)))**2.\nAnswer: 4810*sqrt(7) + 90315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 2*q + 36, -4*q - 75 - 98 = -4*x - 137 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6 = -6*j + 3*j, 0 = 5*j. Suppose -21 - p = -3*c + v, 23 = 2*c - 3*v. Let f = 16 + c. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 543929 or -664?\nAnswer: -664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - -4. Let f be (-15200)\/(-500)*(-15)\/(-12). Suppose f + n = -6*h. Let d(q) = q + 5. Give d(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 77405 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7.7 times 103\nAnswer: 793.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39870 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6 (b) 2 (c) 3\/5 (d) 5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/6353580 and 9\/99664.\nAnswer: 25414320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-1)\/(-5))\/1)\/((-14)\/14). Which is the fourth smallest value? (a) -4 (b) w (c) -0.03 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35057323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**6*s)\/s*s\/s**7*s**(-3)\/(s*s**(-1\/10)))\/(s\/(s**(-3\/2)*s)*s**8)**9 assuming s is positive.\nAnswer: s**(-447\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s**(-4\/11)*s)))\/(s*s**(2\/11)*s))\/(s**28\/(((s*s\/s**(-3\/29))\/s)\/s*s)))**(1\/16) assuming s is positive.\nAnswer: s**(-9073\/5104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + 0 + sqrt(13) - (1*sqrt(143))\/sqrt(11))**2 + (sqrt(117)*5 - sqrt(13) - (sqrt(52) + sqrt(260)\/sqrt(5))).\nAnswer: 15 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 134 (b) -2\/1553 (c) -3 (d) 4 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13844*c**3*p**3 + c**2*p**2 + 2768*p**3 wrt c.\nAnswer: 83064*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 5:46 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 138?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - u**2 - u + 4. Calculate the lowest common multiple of (0\/2 + 1)*4 and m(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -4 - (-12)\/5. Let d = -0.063 - -68.563. Let q = d - 68. Which is the nearest to 1? (a) p (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, s: 5, u: 1}. What is prob of sequence eees?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 = -a + 270. Suppose v + 6*v = a. Suppose 0 = -v*m + 67*m - 12. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -3371.\nAnswer: -8\/3371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 923.954l in millilitres?\nAnswer: 923954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50750 and 6447280.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**5 - 18599*f**4 - 204467*f**3 + 18599*f**2 + 204468*f = 0.\nAnswer: -18588, -11, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 1:22 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 10057650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.37 - 2.83. Let z = 3 + x. Which is the closest to 2\/9? (a) -3\/2 (b) z (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 461 less than 15231503?\nAnswer: 15231042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-366*s**3 + 1122*s**3 - 553*s**3)*(-9*s - 9*s + 32*s) to g*s**2 + v*s + u*s**3 + p*s**4 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -25, -10591, 1, 0, 2 in increasing order.\nAnswer: -10591, -25, -5, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y = 16 + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.81*-4887256.\nAnswer: 3958677.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-3) + (-1 - -3). Which is the nearest to j? (a) 4\/9 (b) -2 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ga when two letters picked without replacement from {a: 1, k: 2, o: 1, p: 1, g: 1, i: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/3*-1)\/(3\/(-854)). List the prime factors of (l\/(-4))\/(((-81)\/18)\/9).\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 2*d - 42, -6407*y - 3*d - 63 = -6403*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 8*t + 10. Let c be s(8). Suppose 2 = c*q - 9*q. Let x be (-4)\/(-4) + q + 0. Solve 5*k + 4*f - 18 = 0, x*k - 12 = f - 4*f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*o + 3743 = -21*o. Let n(b) = -11*b - 221. Determine n(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 - (-442)\/39 - (-10)\/15. Let o be (-120)\/(-16) + 1\/(-4). Is o greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*u - 21, 5 + 6 = -3*t + u. Which is the fifth biggest value? (a) -2 (b) t (c) 0.4 (d) 5 (e) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1357 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a (base 12) to base 5.\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 5*l**2 - 5*l - 6. Let q be i(6). Suppose -3*p = -q*p - 36. Calculate the smallest common multiple of p and 910\/77 - (-2)\/11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*l - 201 = 0, 4*r + 5*l = -r + 905. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 104\/(-10) + 6\/15. Let k(w) = 10*w - 1. Let f be k(2). Let i = y + f. Solve 3*a = m + i, -7 = m - 0*m - 2*a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79851*t**6*z**2 - 2*t**2*z**2 - 5*t*z - 1547 wrt t.\nAnswer: 9582120*t**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/2310 and 103\/480.\nAnswer: 36960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-413)\/(-21) + 1\/3. Suppose 0 = -2*u - 2*u + o. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyy when three letters picked without replacement from {d: 1, i: 4, l: 1, o: 1, y: 2}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 482576 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -y - 9, s + 2*s = 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 + 150 = 3*w - 8*g + 153, -2*w + 0*w + g = -6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*c**3 + 8*c**3 + 57*c**3)*((0 - 2 + 1)*(0*c + c + c) - 2 + c + 2) + 0*c**4 + 0*c**4 + c**4 to s*c**3 + a*c**2 + z*c**4 + x*c + o and give z.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -764 + 2023. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 6:31 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 7:46 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 6*d**2 + 6*d + 11. Let w be u(-5). Suppose 2*v = w + 2. Suppose -65 = -v*z - 3*i, -5*z = 3*i - 8*i - 125. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 3*x**7\/70 + x**4\/6 - 14*x**2. Find the second derivative of k(h) wrt h.\nAnswer: 108*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11219 + 12000. What is the greatest common divisor of z and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4972105 is divided by 1657350?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**3\/5 - 14286*s**2 - 85037415*s = 0 for s.\nAnswer: -11905, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579054179?\nAnswer: 11, 509, 103421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 559 * 2.9.\nAnswer: 1621.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -61*m**6\/6 - m**4\/12 - 7*m**2 + 125*m. Find the third derivative of h(z) wrt z.\nAnswer: -7320*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1966383281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**2\/7 - 2960*o\/7 + 15656 = 0.\nAnswer: 38, 1442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7\/2, 5, -0.4?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (14 - 2) + -15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 4*z**2 + 3. Let p be d(-4). Suppose -5 = -5*g - 3*l + 11, -3*g + 24 = -p*l. Suppose -v + g*v = 40. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103232121303 (base 4) in base 16?\nAnswer: 4ee673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 31 - 141*a + 16*a - 12*a. Suppose 0 = -8*z + 16 - 64. Is x(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81*((-160)\/(-75) + 8\/(-60))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23 - 16 + 28)*(-4*l + 6*l + 9*l)*(-9*l**2 - 10*l**2 + 28*l**2) in the form j*l + b*l**3 + f*l**2 + m and give b.\nAnswer: -1089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1311274 divided by -40.\nAnswer: -655637\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552482 is divided by 55198.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, w: 3, n: 3, r: 3, e: 5}. What is prob of picking 1 e, 1 n, and 1 r?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 not equal to 208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j\/j**(3\/8))\/j)\/j)\/j**7)**49)**(-42) assuming j is positive.\nAnswer: j**(68943\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -11*w**2 - 8*w + 8. Let r(t) be the third derivative of t**5\/15 + t**4\/8 - t**3\/2 - 2*t**2. Determine -3*c(l) - 8*r(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22808*m + 1 - 22788*m - 1 + 35*m**3 to a*m**2 + i*m + d*m**3 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9331590 divided by 1866318?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -6 + -1 + -12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12604482*l**2 - 129850*l - 85.\nAnswer: -25208964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -690.3 - -690.4. Put 0.3, -5, q, 6, -9 in ascending order.\nAnswer: -9, -5, q, 0.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 58804*f + 1470729. What is m(25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/1011 - -1015\/2022. Let f(g) be the second derivative of s*g**3 - 7\/2*g**2 + 0 + 5*g + 1\/12*g**4. What is f(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -11022211212212220?\nAnswer: 11022211212220000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 103823 and 4371.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 282, -2, -5, -335, 3 in increasing order.\nAnswer: -335, -5, -2, 3, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -55*n**3\/3 + 16*n - 126. What is the first derivative of z(u) wrt u?\nAnswer: -110*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 288, 0.2, -2\/15, -1\/3, 6, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 146794251 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -24*i. Let o(m) be the third derivative of -m**7\/5040 + m**5\/60 - m**4\/3 + 14*m**2. Let r(b) be the third derivative of o(b). Determine r(a(l)).\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 342936 and 38097072?\nAnswer: 419067792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6407 is divided by 1566?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 - 0. Let l = 0.5 - i. Let n = -71 - -71. What is the closest to n in -0.3, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 193, 660, 1447, 2560, 4005?\n\"Answer: x**3 + 154*x**2 - 2*x + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 84183254 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j + 4*j = -51. Let o(i) = -4*i**3 + 6*i**2 - 12*i + 1. Let v(n) = 11*n**3 - 18*n**2 + 35*n - 2. Let y(q) = j*v(q) - 8*o(q). Determine y(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 8:48 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -3b799?\nAnswer: 3b7a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 35241 + -2?\nAnswer: 3523b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.164301553 rounded to two dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14\/(-42))\/(1\/9). Let x be v*3\/(-18)*2. Is 0 - -1 - x - -139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*r + 198 = 162*r. Put 2, r, 7, -5 in descending order.\nAnswer: 7, 2, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.933 at most 2\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 11 (c) -6\/5 (d) 90\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*f + 59*f - 3987 = -7*x, -4*x + 2249 = -3*f. Solve 470 = 32*n + x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -90*v + 87*v - 12*b - 96, 0 = -v - b - 14 + 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80 - -100. Suppose -52*l + o*l = 0. Solve l = -25*d + 23*d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) - -3*5\/30. Let v(o) = -1 + t - 7*o + 4*o + 2 - o**2. Calculate v(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 17 = 5*g + 24, -2*l - g + 9 = 0. Sort 11, -2, -1, 3, l in descending order.\nAnswer: 11, l, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 2:28 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 13614*o - 12246. What is x(1)?\nAnswer: 1368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (4 + -1 - 8)) + 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/224*16*((-6)\/(-3))\/(-94).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 3*p**9\/56 + 8*p**5\/15 + 13*p**2 + 23*p. Let j(b) be the first derivative of d(b). Find the third derivative of j(n) wrt n.\nAnswer: 3240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1587147 (base 9) to base 10\nAnswer: 884401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 1. Determine d(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 373783544 to the nearest integer?\nAnswer: 19333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1452 - 255*i + 10077 + 3*i.\nAnswer: -252*i + 8625","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*m - 158 = 0, 2*l - 6*l = -m - 163. Calculate the highest common factor of l and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q**2 - 21*q - 43. Let d(l) = l**2 + 32*l + 190. Let b be d(-8). Determine m(b).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 + 4*z**2 + z - 4. Let w(u) = u. Let i be w(-10). Let n be ((-55)\/i + -5)*(6 - 0). Give l(n).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -737 + 737 - 32897*k.\nAnswer: -32897*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 3:47 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/28 and -25\/8788?\nAnswer: 61516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-1 + (2 - -1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142140?\nAnswer: 2, 3, 5, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(71\/34 + -2). What is the common denominator of (-15)\/(-9) + -1 + (-392)\/264 and (1 - k)*(-1)\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-10 - (-66 + 41))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y**2 + 7*y - 7. Let i(u) = 8*u**2 - 13*u + 14. Let q(d) = 13*a(d) + 6*i(d). Let v(g) = -2*g**2 + 7*g - 4. Give 4*q(o) - 7*v(o).\nAnswer: -2*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + ((sqrt(605)*-3 - sqrt(605))*-4 - sqrt(605)))**2.\nAnswer: -816774 - 3960*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 347, 313, 295, 293?\n\"Answer: 8*k**2 - 58*k + 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**4 + 24*q**3 + 45*q**2 + 22*q = 0.\nAnswer: -22, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12933, -25823, -38713, -51603, -64493?\nAnswer: -77383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 40, 41, 54, 85, 140, 225, 346?\n\"Answer: k**3 - 6*k + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 174.1 - 174. Let m = 1.3 - 0.9. What is the nearest to -2 in x, m, 4\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -63, -4\/3, 2\/7, 5, -12 in descending order.\nAnswer: 5, 2\/7, -1, -4\/3, -12, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, q: 3, w: 1, i: 5, o: 3, c: 1}. What is prob of sequence oco?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = 0, 11*w - 13*w + a = 0. Sort -5, -105, w.\nAnswer: -105, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 405*g - 3526. Determine x(6).\nAnswer: -1096","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 + 217\/4. Let x = -1\/27 - -13\/108. Which is bigger: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j + 6*j + 8*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.4 + 4.4. Let w = 4.11 + -4.21. Which is the fourth biggest value? (a) -3 (b) -5 (c) n (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 1456 = 16*r. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -135*i**2 - 9452*i - 214. Calculate n(-70).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 443876497 to the nearest integer?\nAnswer: 21068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-1*-1*(4 + -1)). Let d be 30\/18 + p\/3. Solve 2 = y - d, 23 = -3*u + 5*y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 13*v - 3. Let t(k) = 101*k - 22. Let s(r) = -152*r + 33. Let i(w) = -5*s(w) - 7*t(w). Let j(x) = -6*i(x) + 22*z(x). Let a(c) = c. Determine a(j(b)).\nAnswer: -32*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 83, 106, 159, 248, 379, 558?\n\"Answer: i**3 + 9*i**2 - 11*i + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 44 = -3*g + 4*n, -3*n = 3*g - 57 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/2180*(1258 + 0). Let r = -10\/109 - q. Is 0.1 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4569*d**3 - 4*d**2 + 9*d - 6. List the prime factors of m(1).\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1673e (base 15) to base 5.\nAnswer: 4310014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence keaa when four letters picked without replacement from {j: 1, z: 5, a: 6, y: 1, e: 6, k: 1}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -2322233?\nAnswer: -2322310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jomyymjjym. Give prob of sequence jmjm.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7803, -14447, -21089, -27729?\nAnswer: -34367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1915491?\nAnswer: 3, 103, 6199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/22)\/(2\/(-6))*(-629)\/(-5661)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (322\/(-120))\/7 + ((-1320)\/90)\/(-44)\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i + 31. Let l be q(-9). Let n(g) = g**2. Let o be n(2). Suppose o*h + 3*w = 2*w + 7, -h - 12 = 3*w. Sort -4, h, l in decreasing order.\nAnswer: h, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246549 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 - -57. What is the remainder when ((-316)\/6 - 0)\/((-2)\/g) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*t + 2. Suppose -2*m - 10 = -t, 0 = -4*f - 4*m - 48. Let n = f + -40. What is n rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 684, 1813, 3396, 5433, 7924, 10869?\nAnswer: 14268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(171) + sqrt(171) + 2*2*sqrt(171))\/(sqrt(63)\/sqrt(175)).\nAnswer: 5 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -5 (c) -1\/2 (d) 9 (e) -0.8176 (f) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 642 and 0.8129 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x + 2*j = -24*x - 909, -5*j - 3633 = -4*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 4184*l + 86100.\nAnswer: 4*(l - 1025)*(l - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1209 + -1174. Is 35 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 2*g - 2*g)*(-6 + 4 - 2) + 3*g - g + 0*g - 2*g + g + 2*g + (-3 + 4 - 2)*(-2*g - 3 + 3) + 2*g - 2 + 2.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680475 is divided by 226789?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -148, -249, -368, -505, -660?\nAnswer: -833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 3*a + 10, 0 = 9*y - 7*y - 5*a - 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j + 9. Is u(10) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.51\nAnswer: -2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l, -z - 4*l - l = 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/588045, 2\/11, 0.09 in ascending order.\nAnswer: -2\/588045, 0.09, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1280464 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.012 and 344?\nAnswer: 343.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 97, 36, 79, 280, 693?\n\"Answer: 9*d**3 - 2*d**2 - 118*d + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -21 (b) -2 (c) -0.0046\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -4.9. Let o = i - 3. Which is the smallest value? (a) 2\/7 (b) 2\/13 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/20 and -37\/274?\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -24085 (c) 0.0403\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**5\/13 + 2*z**4 - 62*z**3\/13 - 2*z**2 + 60*z\/13 = 0?\nAnswer: -15, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 + 37*n**2 + 191*n + 1770. Calculate g(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -22*(-2)\/(-55)*(1 + 6\/(-4)). Let f = -0.5 - -0.68. Which is smaller: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 241616664*l**2 - 3*l + 7042616.\nAnswer: 483233328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.0101 + 0.03?\nAnswer: -11.9801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/14847417?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -17, 1, -3\/2, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is b9ad (base 16) in base 8?\nAnswer: 134655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 - ((-18 - -11 - (20 + -17)) + -5).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -201 divided by 3\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36927494?\nAnswer: 2, 18463747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4f (base 16) to base 12\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 12 = 3*n - 6*n, -5*h - 2*n + 26 = 0. Suppose -c + 68 = s, -2*s - 228 = -3*c - 29. Suppose -a + h*a = t - c, 4*t = -a + 247. Does 20 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -5\/6*h**6 + 5\/3*h**3 + 5 + 0*h**2 + 0*h**4 + 0*h + 0*h**5. Find the third derivative of g(t) wrt t.\nAnswer: -300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 4:24 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -0.1. Let y = 144 - 430. Let b = y + 285.81. Which is smaller: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**2. Let k be o(1). Sort -2, 0, k.\nAnswer: -2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23633 + -23171. Solve 0 = -469*d + h*d + 49 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75 (base 13) to base 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*t + t - 26, 4*t = b - 49. Let o be t\/15*5\/(-2). Suppose -8*d + 1260 = o*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 618722137 to the nearest integer?\nAnswer: 24874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in 0.04, 2, 1\/10, -132, 3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -0.01, -3\/14, -0.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 394*c + c**2 + 8 + 45*c**3 - 799*c - 2*c**2 + 407*c as n*c**3 + q + a*c + v*c**2 and give n.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1156 is divided by 83?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13015*u - 13011*u - 39 = -5*l, 3*l - u = 4 - 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -237, -1356, -4129, -9294, -17589, -29752, -46521?\n\"Answer: -123*p**3 - 89*p**2 + 9*p - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/21))**(-11\/6)\/(v\/v**27*v\/v**4) assuming v is positive.\nAnswer: v**(3665\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 v when two letters picked without replacement from {v: 3, q: 3, c: 2, k: 5}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 13*f + 11. Give v(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*j + 21, 0 = -3*y + 8*y + 3*j - 149. Calculate the remainder when 207 is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*z - 73*z - 6*d - 21, 3*z - 49 = 4*d. Solve 27 = -12*g + z*g - 2*v, 4*g + 18 = 2*v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -264157106, -528314189, -792471260, -1056628313, -1320785342, -1584942341, -1849099304?\nAnswer: -2113256225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 9*c**2 - 13*c + 126. Let a be u(9). Suppose -2*t = 2*w - 1484, 0*w + w - a = t. What is the lowest common multiple of w and 2?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7123762*v + 5440913 wrt v?\nAnswer: 7123762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 780 and 73352695.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*z = -81. Find the common denominator of (-48)\/z - (0 + 0) and 77\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*h - 3 - 2*h + 0*h + 3*h + (1 + 5 - 4)*(h + 4*h - 3*h) + 3 - 2*h - 3)*(146 - 28 + 223).\nAnswer: 1705*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 88\/(-12) - 4\/6. Let r be c\/(-3)*27\/(-4). Let t = -5 - r. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2242 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9292*4\nAnswer: -37168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2)\/k*k\/k**(-10\/9))\/((k\/(k\/(k*k\/(k\/(k\/(k\/(k\/k**(-10))))))*k*k))\/(k**0\/k)))**(-3) assuming k is positive.\nAnswer: k**(107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5620503?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90151?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**4\/3 - 2*q**3\/3 + 9*q. Factor j(l).\nAnswer: 4*l*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260786 is divided by 3259?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -1.5. Let f = -48 - -30. Let w = 20 + f. What is the nearest to 2 in w, i, 0.06?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 3 (b) 3\/8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 25 = 2*i - 92, -i = 4. Calculate the greatest common factor of 10 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 398 in 0.1, 4, 2\/13, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1536195 and 4935.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 5*m**2 + 6*m + 1. Let a = -279 - -439. Let f(s) = s**2 - 7*s - 10. Let k be f(6). Let b be (a\/(-6))\/(-4) + k\/24. Calculate u(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 86, -20, -254, -676, -1346, -2324, -3670?\n\"Answer: -10*f**3 - 4*f**2 - 24*f + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52920856?\nAnswer: 2, 131, 50497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149 + 125 = -5*t + 65*n + 29, n + 2 = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 85*t - 334. What is the remainder when 237 is divided by o(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 378 + -377.94. Let m = 0.17337 - 0.113. Let s = z - m. Round s to 5 decimal places.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 25 + (15 + -44 - -13).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l. Let m(h) = -14*h**2 - 4*h. Give p(m(d)).\nAnswer: 84*d**2 + 24*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 36114 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 558 and 22320.\nAnswer: 22320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l**5 + 0*l**5 + 4*l**5)*(13 + 12 - 7).\nAnswer: -36*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 8*g**2 + 9*g - 9. Let t be w(7). Suppose -3*l + 11*l = 40. Let c(a) = -5 + l*a + 5 + 3*a**2 - 4 + a**2 - a**3. What is c(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*i + 3*g - 17 = 0, -2*i - 4*g = -18 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 20, -10, 26095, 4, -4, 3 in decreasing order.\nAnswer: 26095, 20, 4, 3, 1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126 and 7?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 11:33 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*x + 4*x + 31*x + 203 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1252.8 * -3.837.\nAnswer: 4806.9936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000048327636 to 7 decimal places.\nAnswer: -0.0000483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 3*q - 10 = 0, 4 = -2*x - 120*q + 119*q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*s**3 - 332750000\/7 - 3300\/7*s**2 + 1815000\/7*s.\nAnswer: 2*(s - 550)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - i - 32, 4*i - 24 = 2*g - 88. Let y = g + -14. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-15 + 6)) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 606*c + 317. Let s be h(1). Solve -s = 14*x - 1035 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 200 and 2700240.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -40, -44, -48, -52, -56, -60?\n\"Answer: -4*a - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(-4 - (-296)\/12). Let o(l) = l**3 - l**2 - 5*l + 3. Let v be o(4). Calculate the greatest common divisor of v and k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + (sqrt(304) + -4 + -1 + (sqrt(133)\/sqrt(7) - sqrt(19)) + 1)**2 + 3).\nAnswer: -1950 + 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(3200)*1 + sqrt(50) - sqrt(250)\/sqrt(5)*2))\/(-6*3*(2*sqrt(810) + sqrt(810))).\nAnswer: 7*sqrt(5)\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2376 is divided by 431?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(8*10\/720)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -770 = -30*u + 107*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29523 and 1663129.\nAnswer: 4989387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebzrpprc. What is prob of sequence rezc?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 30236464 to the power of 1\/3, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 15*c**2 + 124*c + 514. What is q(-20)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 82*f - 386. Let q be d(77). Let t be 158\/154 - 2\/2. Which is smaller: t or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/19))**(-6)*a\/((a\/(a*a*(a\/a**(-4\/7))\/a*a)*a)\/a)*a*((a**(-2\/45)*a)\/a)\/a assuming a is positive.\nAnswer: a**(17329\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-550)\/4)*5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*-2 + sqrt(99))*-5 - sqrt(99))\/(sqrt(144)*1) + (sqrt(99) - (sqrt(99) - (sqrt(99) - sqrt(99)*-3)*-5 - sqrt(99)))\/(2*sqrt(1089)).\nAnswer: 3*sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (18711\/378)\/((-1)\/(-54))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3 - 1. Suppose -g*n - 2*n = -892. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4468*k**2 + k**4 + k**3 + 1 + 0*k**4 + 4474*k**2 in the form j*k**2 + f + h*k**4 + t*k + g*k**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 6*z + 13*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**2 - 11*a - 8. What is n(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11917, 11916, 11915, 11914, 11913, 11912?\n\"Answer: -s + 11918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9677312 and 3256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 9:59 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1301711310 divided by -2\nAnswer: 650855655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2054*2\nAnswer: 4108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 30*l - 11. Let v(u) = -57*u + 24. Determine 6*v(s) + 13*y(s).\nAnswer: 48*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004484711 to six decimal places.\nAnswer: 0.000448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2123 + 2114. Let a(h) = -9*h - 77. Calculate a(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*480\/478 + ((-21)\/105)\/(2\/10)?\nAnswer: 1\/239","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27444 and 65122.\nAnswer: 893604084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(6\/17)*t*t**(7\/8))\/(t**(-32)*t**(-2\/19)\/t) assuming t is positive.\nAnswer: t**(91301\/2584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2635 + -2616. Let f = 8 - 4. What is the remainder when x is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13225.2 - 13225. Which is greater: a or -2775?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - 4050\/200 - 1\/(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -5*l + 40. Suppose -3*h = -4*o + l, 0 = 2*o + h + 3*h - 20. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 509 - 67. Does 26 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4692.89127 minus -0.4215?\nAnswer: -4692.46977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)*h)**(2\/27)*(h**(-1\/7)\/h)\/(h*h\/(h*h\/(h\/(h*h**4)))*h) assuming h is positive.\nAnswer: h**(13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34299 and 45423.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x. Let h(b) = -b - 1. Determine i(h(j)).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/4 (b) -44\/5 (c) -6\/107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2424)\/(-21) - (-6)\/(-14) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -176*c**2 - 28*c. Let f(r) = 32*r**2 + 5*r. Determine -5*b(p) - 28*f(p).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.006 + -55.994. Let p = -55.999566 - f. Round p to five dps.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 587496901 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*k + 4*k - 5*k)*(54*k + 41 + 48 - 87) in the form p*k + i*k**2 + g and give i.\nAnswer: -918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 6*h = 36. Suppose 0 = -h*n + 630 - 144. Let b = 74 - n. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270886 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 7 + -5 + (-16 - 0) + -6.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -264 divided by 5\nAnswer: -264\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 19 = -5*n, n - j = -7 + 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t**3 + t**2 - 2*t + 1. Let l be b(1). Let m = -41 + 40.954. Let h = 3.954 - m. Sort l, -4, h in increasing order.\nAnswer: l, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 361, 1507, 3425, 6121, 9601, 13871, 18937, 24805?\nAnswer: 31481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9162 + -21162. What is h rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/225*(0 + 0 - -3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19538 + -19526. Do 4.29 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164 and 26212817.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24056, 24059, 24064, 24071, 24080, 24091, 24104?\n\"Answer: f**2 + 24055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 680, 1361, 2042, 2723, 3404, 4085?\n\"Answer: 681*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 608\/231 - 130796\/3003. Which is smaller: f or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 2*n - 2 + 55 - 23. What is the lowest common multiple of z(0) and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**2 + 6*w + 8. Let q be t(0). Sort 0.16, 1, q in decreasing order.\nAnswer: q, 1, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 47 + 29)*(257*o**2 - 257*o**2 - 130*o**5).\nAnswer: -6110*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1240936 or -28541532\/23?\nAnswer: -1240936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**8\/4200 + q**7\/1050 - q**6\/900 + q**3 - 5*q**2. Let v(z) be the first derivative of h(z). Factor v(w).\nAnswer: -2*w**2*(w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**5\/210 + 2*t**4\/21 + 40*t**2. Factor c(o).\nAnswer: -2*o*(o - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -996, -982, -954, -906, -832, -726, -582?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 463744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 9:06 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*2)\/sqrt(6) + (sqrt(162)*-1)**2 - (-3 + sqrt(32)\/sqrt(4)).\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + d + 15. Let m be w(0). Suppose -32*h + 1509 = -29*h. Let c = 512 - h. Solve m = -c*u + 4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 22 - 13 = -z, 4*z = -c - 6. What is the common denominator of (-17 - c) + 10\/60*-2 and 61\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-204)\/459)\/(2\/(-27)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0059070709 rounded to six dps?\nAnswer: 0.005907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 18*i**2 + 321*i - 25. What is t(29)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22516695683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 4)*-1 + -3. Let q = -7 - -8. Let m = -2.1 + 0.1. Which is the nearest to q? (a) m (b) 0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 2 - 45\/((-477)\/(-27) + -12).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + i - 23, -5*o + i = -i - 20. Let v be (0 + o)*(-1667)\/(-20). Let g = 509 - v. What is the common denominator of g and -115\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 5*h - 4. Let b be x(-3). Suppose 136*o - 42 = 115*o. Suppose -b*r = -v - 194, 4*r + r - 487 = o*v. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n + 3906 = 4110 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-3)*((-676)\/195)\/13.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*t = 212*t - 441*t + 423540. What are the prime factors of t?\nAnswer: 3, 5, 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*f + 104*f + 99 = 0. Suppose 0 = 5*g - 25, -2*y + g - 5 = y. Sort y, 4, f, -2 in decreasing order.\nAnswer: 4, y, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/156 - (-3)\/(-18). Suppose 2*u - 3*u + 17 = 0. Suppose -3*f = 3*s + 2 - u, -s + 7 = 3*f. Is i smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2972780 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -20*l + 2. Let c(o) = -o**3 - 15*o**2 - 13*o + 12. Let j be c(-14). Is u(j) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 2*l + 3*l - 8, 4*l - 13 = 5*h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54410 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 314*-27.161\nAnswer: -8528.554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 12*x**2 + 13*x + 7. Let i be r(-11). Let j = i - -29\/2. Let k = 0.017 - 0.217. Sort j, 1, k in increasing order.\nAnswer: j, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1236 - 300. Is 78 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d4692 + 40?\nAnswer: d46d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18555\/(-2)*11\/(-110). Let u = -923 + q. What is the common denominator of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129612*x + 4*h = -129613*x - 3, -3*x + 6 = -3*h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2799461?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q. Let f(o) = -14*o**2. What is x(f(m))?\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 589750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6559 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (-1)\/(-2 - 45\/(-20)). Solve 0 = -4*q + 7 + k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1464430 smaller than -1464438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 52*r - 7. Let t(h) = 201*h - 19. Let i(v) = -100*v + 9. Let m(p) = -7*i(p) - 4*t(p). Let j(o) = -4*m(o) - 7*z(o). Is j(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - 0 - (1237 + -1272) - -82.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 37 = 3*s - n, -46 = -4*s + 2*n. Suppose z - 9 = -h, -z = 5*h - s*h - 39. Calculate the remainder when 25 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 2*c + 28, -18 = -q - 5*c + 26. Let t be q\/5 - (-6 - -4). Let n = 27\/5 - t. What is the nearest to n in -2, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5*i**5 - 360*i**4 - 24105*i**3 - 434380*i**2 - 2924160*i - 5483520 = 0.\nAnswer: -16, -12, -3, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 n when two letters picked without replacement from {n: 1, w: 1, j: 2, o: 6, h: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.383 and -5229.4.\nAnswer: 2002.8602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, j: 2}. What is prob of picking 2 e?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*c - 13 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8336 - 25010\/3. Let u = 0.1 - 0.1. What is the closest to -5 in t, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**5\/20 + c**4\/12 - c**3\/6 + 172*c**2 + 2*c. Let w be d(0). Suppose 0 = 5*y + w - 94. Round y to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 420*q**2 - 2655*q + 591770.\nAnswer: 5*(q - 59)**2*(q + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 + q**4 + 0*q**2 + 4*q**4 + q**4 - 3*q**4 + (4*q - q - 2*q)*(-q**3 + 1 - 1) - 116*q**3 - q - 17*q**4 + 118*q**3 + 2*q.\nAnswer: -15*q**4 + 2*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -13. Suppose g - 27 = 4*x, x + 4*x = -4*g + 66. Let u be (4 + (-1 - 0))\/(g\/76). What is the third biggest value in v, u, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37374 and 18.\nAnswer: 112122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.4 times 7609?\nAnswer: -94351.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0745 and -1.\nAnswer: -1.0745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 8:34 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/9 (b) -5 (c) -0.3 (d) -9103\/2 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14205*c**4 - 33964145*c**3 + 27069407625*c**2 - 7191426588195*c - 5062615730.\nAnswer: 5*(c - 797)**3*(2841*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2398918845.\nAnswer: 3, 5, 159927923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = h + 19, -h + 0 - 4 = 2*d. Let c = h + -4. Calculate the lowest common multiple of 22 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -569*s - 137*s + 715*s.\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/5*(-200)\/(-16). Suppose 6 = 4*r + d. Is -2\/7 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150.16 rounded to 1 decimal place?\nAnswer: 1150.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 145982342003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.385 in 0.3, -1\/3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -194 divided by 12\nAnswer: -97\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a second in milliseconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 846488 and 17776248?\nAnswer: 17776248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -2*q - 13. Is (44 - q) + 18*78 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -40556, -18\/25, 31?\nAnswer: -40556","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47366.2km to nanometers.\nAnswer: 47366200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -1 (c) -4\/3 (d) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10, 31, 80, 169, 310, 515, 796?\n\"Answer: 2*u**3 + 2*u**2 + u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - (-16 - -13 - 2) - (2 - -5).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 26909*k + 56 = -x - 26906*k, 2*k - 44 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - 12 - 1*33\/6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - u + 186 = 0, -154 - 80 = 5*k - 2*u. Let a = k - -62. Calculate the smallest common multiple of 28 and a.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 209\/10 + -24861\/1190. Let o = -5\/17 + p. What is the second smallest value in -1\/11, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-48)*3*1*264\/(-132)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 38, -3\/19, -0.2, -46, -1\/8?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/11 = -0.3414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c (base 13) to base 11.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - w + 1. Let c(k) = -65*k**3 - 5*k**2 - 5*k + 5. What is -c(h) + 5*r(h)?\nAnswer: 65*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13545131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 1.3916\nAnswer: 0.41748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -20*c - 7. Let p be a(-2). Suppose -28*i = -p*i + 150. What is the least common multiple of i and 21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 4 (c) 3\/14 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -0*h + 36. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g*p**4 + 6*g*p + 5*g + 7*p**4 - 6*p**3 wrt p.\nAnswer: -36*g*p**2 + 84*p**2 - 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43381, -43338, -43301, -43270, -43245, -43226?\nAnswer: -43213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.59 take away -0.249418?\nAnswer: -1.340582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7422*p*v**3 + 455*p*v - p + 1387*v**3 - 26*v**2 wrt v?\nAnswer: -44532*p + 8322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1572*0.1.\nAnswer: 157.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 1\/5. Let m = -1.2 + -0.8. Which is smaller: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -2. Let z(t) = 10*t - 2 + 5 - 3 - 11*t. Let a(n) be the third derivative of -n**4\/8 + n**3\/6 - n**2. What is g*z(x) + a(x)?\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -26. Suppose -4*w + 45 = -u. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 999, 1012, 1035, 1074, 1135?\n\"Answer: g**3 - g**2 + 9*g + 990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 561779369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**5\/3 - 262*q**4\/3 - 9418*q**3\/3 - 91874*q**2\/3 - 55380*q + 89232 = 0.\nAnswer: -78, -39, -11, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**3 - 9738*a**2 + 10536516*a - 3800170104 = 0.\nAnswer: 1082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3431225 is divided by 41340.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 27. Let b be w(-9). Let a = 45 + b. Let d(u) = u**2 + 5*u + 20. What is the units digit of d(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 e when four letters picked without replacement from {u: 2, e: 3, d: 3, p: 5}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*v - 6, v - 20 = -3*j. Let q(d) = -4*d + 4*d**3 + 2*d**2 - 3*d**3 + 3*d. Let z be q(-2). Sort -5, j, z.\nAnswer: -5, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1004.4, 1\/116, -2\/9?\nAnswer: 1\/116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1400, 11 in increasing order.\nAnswer: -4, 11, 1400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1551 divide 633814517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -959*g + 198513. Let m be z(207). Factor m*v**3 + 0 + 6\/5*v**4 - 32\/5*v**2 + 0*v - 1\/5*v**5.\nAnswer: -v**2*(v - 4)**2*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4394932 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*j**2 - 48*j**2 - 39*j**5 + 15*j**2 wrt j.\nAnswer: -2340*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1209 + -1212. Put 71, 1\/6, f in increasing order.\nAnswer: f, 1\/6, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 438*k - 40 = 437*k. Let r be 5*(1*-3 - (-1 - 3)). Suppose r*h + 12 = 92. What is the highest common divisor of h and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o + 36. Let q(f) = 1. Let c(j) = 4*q(j) - u(j). Let y be c(13). What is the units digit of (-42)\/y*(-5)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u - 4. Suppose 5*s = -74 + 244. Let w(t) = 17 - 10*t - s + 26 + 3*t. Calculate -5*b(i) - 2*w(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5032 and 85.\nAnswer: 25160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x + 17. Let d be b(-7). Is 20 a factor of (-32)\/(d\/(30\/(-4)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 2204*d + 478501. Calculate q(-244).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 5*d**2 + 6*d + 2. Let t be 6 - (2 + 0 - 2). Let z be n(t). Suppose 5*k - 6 = z*k. Let b(c) = -5*c + 2. What is b(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30111233 (base 4) to base 6.\nAnswer: 1025555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2 - 9*u**2 + 9*u**2 - 15*u**2 to g*u**2 + f*u + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5 + -2 + (-4*(1*sqrt(612) + -5) - (1 + -2*(sqrt(612)*-2 - sqrt(612))))))**2.\nAnswer: -5760*sqrt(17) + 245376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) 0 (b) -1\/25 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 = -7. Suppose 3*c = 7*c - 5*v + 8, a = 4*c - v. Suppose o + 3*f - 9 = -2*o, 3*f = -o + c. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - c**2 + 2*c + 2. Let d(w) = -4 - 3*w**2 + 0 - 5*w + 4*w**2 + 2*w**3 - 1. Let j(t) = -2*d(t) - 5*u(t). Find the third derivative of j(n) wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from wqwqqwqwhqwqqwwqqqq?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**2 - 220*z - 6*z**2 + 221*z - 7*z**2.\nAnswer: -18*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**7\/1260 + i**5\/20 + 5*i**2. Let s(v) be the third derivative of n(v). Let b(w) = 2*w**2. Determine s(b(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75 + 73. Let m be (1\/(-2))\/((-69)\/(-138)) - -1. Which is the nearest to -8? (a) -2\/21 (b) m (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 3. Let o be (-1)\/(-1) - 8\/i. Let g be -3*(1 - 3\/6). Which is greater: o or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-224)\/498)\/8*192\/448\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 84 = -7*t. Suppose -24 = -2*p + t. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = o - 0*o - 20, 5*o + 2*z = 12. Suppose 0 = -3*n - o*h + 82, 2*n - 2*h - 99 + 21 = 0. Suppose -5*c + 6*c = n. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 977.8809 millennia in centuries?\nAnswer: 9778.809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4865.\nAnswer: 5, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237640 is divided by 3211?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -45*1\/(-2)*84\/(-35). Let v = 58 + m. What is the first derivative of 4*k**4 - 25 + 3*k**v + 13 wrt k?\nAnswer: 28*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**2. Let y = 6 + -3. Let w(d) be the second derivative of 0*d**2 + 0 + d + 1\/6*d**y. What is w(f(m))?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*h = 6*d - 10, -4*h = -3*d + 20. Suppose 0 = d*s - 5*x - 6 - 6, 15 = 5*s - x. Solve 7*y = s*y - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 6*j = -5*l + 152, 3*l = 0. Is j > -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 2*b**7\/21 - 3*b**5\/5 + 2*b**4\/3 + b. Factor w(k).\nAnswer: 4*k**2*(k - 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22191*b + 253 + 150 - 403 + 0*b - 3*b + b + (1 + 2 - 5)*(3*b - 4*b + 3*b) + 3*b - b - b.\nAnswer: 22186*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 1. Suppose -5*d = -2*l + 16, 2*l + 4*d = 7 + u. Suppose -j + 18 - l = 0. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k - 39. Determine i(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 2. Let a be w(-2). Let y be (-1 + 13)*129\/(-258) - -8. Factor 1\/3*z + 1\/3*z**y + a.\nAnswer: z*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**5\/6 - 7*q**2 + 2*q. Let x(z) = z**2. Determine x(t(h)).\nAnswer: 100*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.3, -0.4, 4, 1.66?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4901 + 4903.533. What is g rounded to one dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/5)\/(112\/24).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-133)\/(-42) + 1 + 1 + 5\/(-3). Let k = 0 + 0.1. What is the smallest value in k, -0.5, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -770856 divided by -64238\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.42 + -0.18. Let r = 30.2 + 4.8. Let t = 34.5 - r. What is the third smallest value in -4, w, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a - 36. Let j be d(-13). Suppose -55 = -6*x + x - o, 25 = j*x - o. Round x to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.03 (c) 2 (d) -14\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w = -25*w + 364. Let o be 4 - 1 - (-6)\/1. Let x = o - w. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 10}. Give prob of picking 3 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 0. Let t(i) be the second derivative of -i**4\/6 + 7*i**3\/6 - i**2 + 8*i. Let x be t(3). Solve 2*y + v - x - 2 = 0, -v = -c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/252 and -103\/840.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**4 - 3*k**2 + 2*k**2 + 2*k**3 + 2*k**4 - 8*k**4 - k as b + l*k**3 + d*k**4 + j*k**2 + v*k and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 59097473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 119 + 183. Let c = z - -498. What is the highest common factor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0048119 rounded to 4 dps?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 3:30 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 916 + -915. Sort -5\/4, z, -77 in ascending order.\nAnswer: -77, -5\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323739?\nAnswer: 3, 13, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -192a245 (base 11) to base 16.\nAnswer: -31cd9f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**1*c\/(c**(1\/5)\/c) assuming c is positive.\nAnswer: c**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*q**3 - 28*q**2 - 116*q - 40.\nAnswer: 4*(q - 2)*(q + 1)*(12*q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, s: 4, x: 6, d: 4}. What is prob of picking 2 x?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 20, 40, 64, 92, 124, 160?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -383474, -383473, -383472, -383471, -383470?\nAnswer: -383469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 2:00 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -13713*r**4\/2 + 258581*r**3 - 1241742*r**2 - 377396*r - 384 = 0. What is r?\nAnswer: -2\/7, -2\/1959, 6, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.46 and -8889.51.\nAnswer: -4089.1746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21687*g**2 + 0*g - 21628*g**2 - 5*g**5 + g + 0*g**5 - 7*g**6 wrt g.\nAnswer: -840*g**3 - 300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2, 228\/25, 0.1, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}