diff --git "a/data/dm_maths/full_data_1/10775_11255.jsonl" "b/data/dm_maths/full_data_1/10775_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10775_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand (-4*d**2 + 5*d**2 + 5*d**2)*(-5 + 6 + 10) + 0*d**2 + 28 - 29 - d + d**2.\nAnswer: 67*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.26 + -0.56. Let l be 2\/(-3)*(-6)\/4. What is the third biggest value in -3\/5, h, l?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m - 2. Let u be b(-1). Let z be 4\/8 - u\/(-6). Is (116\/(-8))\/(z\/(-4)) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24+27.758\nAnswer: 51.758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 693*y**2 + 3812*y + 1833. Calculate q(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -73*z**5\/120 - 31*z**4\/12 + 5*z**3 - z - 54. Let y(n) be the third derivative of k(n). Differentiate y(o) wrt o.\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4010 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0 = -2. Let h be b + 3 + 46 + 1. Suppose 2*x = 6*x + h. Round x to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -322228 - 152.\nAnswer: -322380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(133) + sqrt(133) + (-5*-2*sqrt(133) - sqrt(133)))\/(1*sqrt(343) - -1*sqrt(343)) + 3.\nAnswer: 5*sqrt(19)\/14 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, -2, 11\/17, 0?\nAnswer: 11\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12616 and 760?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.077 (b) -5\/6 (c) 6 (d) 132\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*a**4 + 2*a**2 - 350*a + 1 + a**3 - 1 + 349*a in the form t*a**4 + g*a**3 + p*a + c*a**2 + x and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y = 0. Let c be 0 - y - (-3)\/3. Let i be (c\/1)\/(2\/8). Solve i*l - 3 = 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14744?\nAnswer: 2, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 - 6*d - 6. Let o(n) = -3*n**2 + 7*n + 7. Let j = 248 - 398. Let l = j + 144. Calculate l*o(a) - 7*s(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -6. Let h be q\/(-1) - (-1 - 1). Let t(b) = -b + 3. Let k(l) = l - 4. Let n(s) = 4*k(s) + 5*t(s). Let i(x) = -7*x - 6. What is h*n(o) - i(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 1 + 5. Let s be (-120)\/180 + 0\/(-1). Which is the nearest to -2? (a) s (b) 1\/6 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 190308*x = -190307*x + 40, 3*x - 6 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -2)*(-4 + 2). Let n(b) = -3 + 3*b - 9*b + 2 + b**i + 5. Let p = 180 - 177. Determine n(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 544\/(147\/(11613\/632))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/(a\/a**(-2\/21)))*a)**(-37)\/(a\/a**(-6\/5))**(-17) assuming a is positive.\nAnswer: a**(-8098\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 175310756 to the power of 1\/3, to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - d**2 + d + 3. Let q be j(0). Suppose w = 0, 4*m - q*w - 44 = -2*w. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((5 - -3 - (10 - 10)) + -20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(-6) - (-14666)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 971.24 less than 564103?\nAnswer: 563131.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - 0. What are the prime factors of ((-69)\/w)\/((-2)\/(-64))?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5845 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -26, -34, -56, -98, -166, -266, -404, -586?\n\"Answer: -n**3 - n**2 + 2*n - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13856?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 629\/14 - 91\/2. Let c(r) = 2*r - 5. Let u be c(4). Let h be (-4)\/(-90)*-3*u. Sort s, h, -2\/9.\nAnswer: s, h, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1580 and 1675432?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -400, -300, -24, 518, 1416, 2760?\nAnswer: 4640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268490.\nAnswer: 2, 5, 26849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*f + 8*f - 2 = 0, -5*p + 10 = 4*f. Let z(u) = -9*u**2 - 2. Let x(s) = 217*s**2 + 49. What is p*x(d) + 49*z(d)?\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4 + 3*u - 5 - 22*u. Let g be m(-14). Let t = 392 - g. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -160\/13 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 831150310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2567.\nAnswer: 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b + 12*b + 3*b**2 - 13*b - 13*b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1562366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 2*i + 16. Let r be h(-5). Let v(p) = 4*p**2 + 14*p - 4. What is the units digit of v(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*sqrt(153) + -5 + 1) + -3*(-2 + -1 + sqrt(153)*-2)**2.\nAnswer: -1839 - 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h - 3. Let z be j(-9). Suppose -16*o + 4 = -z*o. Is (2470\/(-15))\/(o\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81\/(54\/6) + 10185 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 161229\/50440 - -36\/1261. Let o = 21\/8 - c. What is the nearest to -0.1 in -3, -3\/8, o?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(162) + 2.\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*1*-4 - (sqrt(117) - (sqrt(117) + 2*sqrt(117) + sqrt(117)))*4)\/(2*(sqrt(81) + (sqrt(81) - sqrt(81)*1))*-6).\nAnswer: -2*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 5 = 3*s. Let j be 0\/(-4 - s*-2). Suppose -3*d + 4 + 32 = j. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1013*r**3 + 2079*r**2 wrt r.\nAnswer: 6078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjjjrjrrrrrrrrjr. What is prob of picking 2 j and 1 r?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 1166205\nAnswer: -116620.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.31, 2620, -288?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 49.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -o - 0*o + 14, 4*i + 15 = -3*o. Let h(d) = 46*d + 12*d**2 - 1 - 19*d - 28*d. Determine h(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {u: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1625 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89378590 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqjrwkkwrwrwjokjrw. What is prob of sequence qok?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4036*u - 15. Let z(q) = -811232*q + 3012. What is 1004*t(x) + 5*z(x)?\nAnswer: -4016*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - w**2 - w + 2. Let s be y(0). Suppose s*o + 9 + 2 = 3*z, -1 = z - 3*o. Suppose z*f - 6 = 69. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n + 39 = -27*n. Let b be (13\/n)\/((-1)\/(-9)). Suppose 0 = b*i + 9*i - 7572. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = -3*t + 20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 2*u**2 - 3*u - 2. Let c be g(-2). Solve c*h + h + 20 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.1 and 2672?\nAnswer: -8283.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4\/7, 2, 0.01, -2\/5, 3, -0.26?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19628953.\nAnswer: 251, 78203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 + -3 - (-3 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 1:43 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 6:39 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -270 divided by 48222.\nAnswer: -5\/893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000698190342 to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-820*l**4 - 246285*l**3 + 246285*l**3)*(0 - 4 + 2)*(0 - l + 0).\nAnswer: -1640*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -61\/2. Let q = -31017\/8 + 3877. What is the second biggest value in q, p, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**3*o\/(o*o*o**(2\/11)\/o*o)*o**(-3\/2)*o*o\/(o**(3\/11)*o) assuming o is positive.\nAnswer: o**(23\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 3*y + 6. Does 28 divide g(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 33 + 241 = -5*l, -3*l - g = 164. Let v = 78 - 130. Let j = v - l. Solve 2*r + 5*t = j*t + 18, -2*t = -8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 42798.\nAnswer: 42798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(13) - sqrt(130)\/sqrt(40)) + sqrt(78)\/(sqrt(6) + sqrt(6) + sqrt(18)\/sqrt(3))).\nAnswer: 5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 399254372.\nAnswer: 2, 11, 19, 477577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(891) - (-2*sqrt(891) + sqrt(891))).\nAnswer: sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1682272490?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12215 is divided by 1715.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 >= 0.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 95335301 to the power of 1\/2, to the nearest integer?\nAnswer: 9764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1479 - 1477. Let k(b) be the first derivative of 0*b - 18 - 2*b**h + 4\/5*b**5 - 4\/3*b**3 + b**4. Solve k(c) = 0 for c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 10020*i**3 + 10*i**2 - 90*i - 13. Let v(o) = -2505*o**3 - 2*o**2 + 20*o + 3. Determine 2*l(u) + 9*v(u).\nAnswer: -2505*u**3 + 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 - 2*x**2 + 0*x**2 + (18*x - 9*x + 14*x)*(2*x + x - 2*x)*(-3 + 5 - 4)*(-171 - 249 + 253) + (x - x - x)*(2*x + 1 - 1) as v*x + p + t*x**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-1643)\/93 + 3 + 16)*(-3)\/1032*6\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 11:37 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c - 36*c - 8*c)*(0*c + 2*c + 0*c) + (2*c - 3*c + 0*c)*(c - c + c) - c**2 + 4*c**2 - c**2 to the form h*c + s*c**2 + b and give s.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 124*-5\nAnswer: -620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1080)\/432*2*(-74)\/(-50).\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9, -14, -23, -36?\n\"Answer: -2*g**2 + g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 5:56 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 5:58 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*(sqrt(17)*1 + -5)**2 + 0).\nAnswer: -756 + 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -8928.181 and 18.\nAnswer: -8910.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -1.455, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8383.67329 rounded to the nearest 100?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4*v - 1148, 3*v = -2 - 1. Suppose 32*n = 36*n - j. What is the third derivative of 21*s**3 - 4 + 84*s**2 - n*s**2 + 4 wrt s?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -5, -4, 18 in descending order.\nAnswer: 18, 1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((2*sqrt(432)*5 - (1*sqrt(432) - sqrt(432))*1)*-5 + 4))**2.\nAnswer: -120000*sqrt(3) + 27000400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -284936 (base 10) in base 13?\nAnswer: -9c902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**9\/36 - g**8\/56 + g**5\/30 + 2*g**4\/3 + 48*g**2. Find the third derivative of c(w) wrt w.\nAnswer: -1680*w**3 - 360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118 at most 1766?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -2*m - 4*m. Let j = 716 - 313. What is the greatest common factor of m and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5206 in 1\/3, -5, -2\/3, 45, 4\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4448 + 1486 + 0*y**2 - 7*y**2 + 1480 + 1482.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279451 is divided by 3588?\nAnswer: 3175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(500) + 5 - (sqrt(500) + 3 + -3 + sqrt(500) - sqrt(500)))*3)**2.\nAnswer: -2700*sqrt(5) + 40725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d - 10*d + 862*d**3.\nAnswer: 862*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6 plus -119735?\nAnswer: -119737.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*(-7)\/1 + 4. Let k = v - 26. Suppose k*h = 2*h - 36. Calculate the common denominator of h and -53\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.29384s in milliseconds?\nAnswer: 90293.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + -23?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**4\/6 + i**3\/3 - 3*i**2\/2 - 2*i. Suppose 1 = 3*l - 5. What are the prime factors of y(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -11001032023?\nAnswer: -11001032013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 15) to base 13\nAnswer: 17a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746469024.\nAnswer: 2, 3, 7, 1110817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32540 (base 7) to base 15.\nAnswer: -2642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 192532*g**3*z - 2*g**2*z - 82947*g*z wrt g?\nAnswer: 1155192*g*z - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from sfcffccc?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2946362 (base 12) to base 3\nAnswer: 120121221200202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001200454 to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1869863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmk. Give prob of sequence kmmm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 319*a**2 + 3*a - 2. Let h be o(1). What is the highest common factor of 32 and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 40 = -0*z. Suppose -4*m - 40 = -z*m. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3582 divide 114660055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10279, -41100, -92477, -164416, -256923, -370004?\n\"Answer: -o**3 - 10272*o**2 + 2*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -422 - -2003?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 138 + -99. Let q = 83 + -48. Let z = v - q. Solve -2*h + 4*g = -2, -z*h + 5*g - 4*g = 17 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.27 + -0.22. Let x = v + -0.2. Let o = -0.45 - x. Put o, 1, 2\/9 in increasing order.\nAnswer: o, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 9. Let d(r) = -r**2 - r - 17. Let l be d(0). Let q = 37 + l. Calculate the highest common divisor of q and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 26*f - 31*f = 4, 2*n + 9*f - 27 = 0. Solve n*j = -41 + 68 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 10*a + 6. Let b(f) = -29*f + 17. Let t be b(1). List the prime factors of h(t).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 251798089219\/447888 + -24174057\/43. Let u = f + 17\/434. Let x = 2776 + -27793\/10. What is the common denominator of u and x?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -443*q**3 + 56*q**2 + 454*q**3 - 56*q**2.\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 65 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - -1. Let i = -15 + y. List the prime factors of 16*(2 - i\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 3. Let z be p(-3). Let v be -1 - z - (-6 - -3). Suppose -3*b + 24 = v*q - 17, 3*q - 2 = -b. List the prime factors of b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*k**4\/17 - 446*k**3\/17 + 912*k**2\/17 + 1176*k\/17 - 32\/17 = 0. Calculate k.\nAnswer: -4, -1, 2\/75, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-5)\/((-50)\/(-15)). Suppose f + 8 = a - 9, -a - d*f + 5 = 0. What is the lowest common multiple of a and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkdk when four letters picked without replacement from kkssktkndnndkktntdk.\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1231743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2*(22 - 2))\/(-2). Let n(z) = 30*z - 31*z - 28 + l. Suppose -3*f - 2*d - 7 = 4, -5*d = 3*f - 4. Give n(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*i - 77. Suppose -d = -2*l - 6*d + 24, -4*l - 5*d = -i. Find the third derivative of 0*o**6 + 3*o**6 + 2*o**l - 5*o**2 wrt o.\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -0*v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7))**22*((u*u**(1\/3))\/u)\/u**2 assuming u is positive.\nAnswer: u**(-167\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/40 and (((-39)\/6)\/(84 - 87))\/(40\/42).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/63 - -19\/63. Let x = -94 + 284\/3. Which is the smallest value? (a) x (b) 1\/6 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*w - 564 + 536 = 0. Calculate the remainder when 1958 is divided by w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = u + z - 9, -u - 5*z + 5 = 0. Let w(y) = -y**3 + 10*y + 18. Let o(b) = -4*b**3 + 11*b**2 + 22*b + 42. Let a(d) = o(d) - 3*w(d). Give a(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45870273, 45870274, 45870275, 45870276?\nAnswer: 45870277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/((-154)\/55)*2\/(-35)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 9, -3, -15?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-980)\/(-161) - 12\/138. Suppose -g*k = 21*k - 1296. What is the greatest common divisor of 16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3 - 4276*k**2 + 4558189*k + 27503286 = 0.\nAnswer: -6, 2141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2221498876.\nAnswer: 2, 6287, 88337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 171176347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -24, -1586442 in descending order.\nAnswer: 2, -24, -1586442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -1\/6 (c) -3 (d) -10 (e) -14 (f) -0.09 (g) 2\/75\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -129*a**2 + 2. Let t(x) = 259*x**2 - 5. Calculate 5*c(q) + 2*t(q).\nAnswer: -127*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120, -123, -126, -129, -132?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 - 55. Let c(g) be the third derivative of 1\/6*g**3 + 0 + 0*g + 2*g**y + 1\/6*g**4. What is the first derivative of c(z) wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/8)\/(8*18\/(-768))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 0*n + 1 - 2*n + 5*n + 0*n. Let r be b(3). Which is greater: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5125 (base 8) to base 15.\nAnswer: bb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-5)\/(35\/(-1))*6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 21*u + 5*u - 2*u**3 - 14*u - 2*u**2 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(21)\/(sqrt(28)\/sqrt(4)).\nAnswer: sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14171471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/(-94) + ((16 - -19)\/(-7) - (-43)\/2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - a - 12 = 0, 0 = -i + 4*a + 1 - 10. Suppose 4*g - 206 = i*w + 579, -2*g + 1285 = -5*w. What is w rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67*m**2 - 12*m**2 - 65*m**3 + 17*m**3 + 72*m**2 + 193 + 2*m wrt m?\nAnswer: -288*m - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5 = -16. Suppose -r*b - 9 = 26. Is (-80)\/(-100) + (-121)\/b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-561)\/34*(-12)\/(-14)*(-518)\/407\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - 5. Let p be d(7). Let i = 34 + p. Suppose -q = q - i. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/2)*z\/(z*z\/(z**(-37)*z))*z assuming z is positive.\nAnswer: z**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 663 - 109. Let r = o + -536. Calculate the lowest common multiple of r and 99.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 27 = 5*b + 2*g, b + g = 36. Calculate the lowest common multiple of 78 and b.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1469\/14 - 105. Suppose 4*o = 2*n - 26, 2*n + o + 83 = 7*n. Let q = -17 + n. Which is smaller: a or q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**3 - 5*a**3 - a**3)*(2*a - 6*a + 2*a) - 3*a**4 + 3*a**4 + 4*a**4 + 3*a**4 - 3*a**4 - 2*a**4 + (0*a**2 - a**3 + 0*a**2)*(-2*a - 2*a + 5*a).\nAnswer: 5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 620, 2436, 5450, 9656, 15048, 21620?\n\"Answer: -o**3 + 605*o**2 + 8*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -557 - 123. Let f be 1\/(-5) - (-108)\/u. Let z(x) = x**3 - 33*x**2 + 3*x - 100. Let t be z(33). What is the nearest to 1 in f, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afrh when four letters picked without replacement from {a: 1, r: 1, j: 2, f: 1, w: 1, h: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 5*y**2 - 6*y + 7. Let w be s(8). Suppose 5*t + 41 = w. Let a = t + -2. What is the remainder when a is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 2*h + 3. Let l be u(3). Suppose -39 = -l*o - o. Calculate the highest common divisor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -16*(2 - 3)*(-1)\/(-2). Find the third derivative of v*x**2 - 7*x**2 - 33*x + 33*x + 16*x**4 wrt x.\nAnswer: 384*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (343\/(-98)*(-3)\/98)\/(6\/4).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -11*l**3 - 2*l**2 - 2*l + 1. Let q be k(2). Let i = 99 + q. Solve 2*c - 37 = 3*d - 3*c, i = -d + c - 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, l: 6, x: 3, f: 2}. What is prob of picking 2 x?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -24407*p - 694. Is q(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61)\/(7259\/204)*28\/(-30).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 14 = -58*t + 55*t, -3*d + t - 12 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 13, b: 6}. What is prob of sequence xbxx?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 + 19.65\nAnswer: 19.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 423, 868, 1313, 1758, 2203?\n\"Answer: 445*i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 8 = -0*y. Let v = y + 0. Is -1 + 2 - (2 + v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11550)\/88)\/(-35)*1\/(-5).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 2\/7 (b) 9 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 7:50 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -440 - -443. Factor 1\/5*y**w - 3\/5*y + 2\/5 + 0*y**2.\nAnswer: (y - 1)**2*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -103 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.11*-219253.\nAnswer: 5286189.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/2 (b) -28 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z = -3*z - 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 666 - -3092905478?\nAnswer: 3092906144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 335\/(-201)*30\/(-2900)\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17557*c**2 - 8777*c**2 - 8782*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -425785*m**3 + 12773560*m**2 - 95801925*m + 2250.\nAnswer: -5*(m - 15)**2*(85157*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2552267.\nAnswer: 257, 9931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6930 or -6931?\nAnswer: -6930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8655 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 7*s**4\/12 - 7*s**3\/3 - 13*s**2\/2 - 70*s. Let g be d(-1). Solve -7 = -g*f + 33 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3162.9 + -1601.63. Let i = 1542 - r. Round i to 0 decimal places.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 7:16 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/16)\/((-2)\/4). Let a = -96.04 + 37.04. What is the closest to g in -1\/10, -2\/9, a?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnvv when four letters picked without replacement from {m: 3, e: 2, a: 1, o: 3, v: 4, n: 2}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.816594 rounded to 3 decimal places?\nAnswer: -0.817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 3 - 4 + 3 - 5 + 4 + (-1 - 1 + 1)*(0 - 4 + 2) - 2 - 1 + 1)*(0*n + 4*n - 3*n)*(4*n - 4*n + 2*n) as v*n**2 + i + w*n and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1017107 + -4787107. Round a to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 9:04 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1064 - 1062. Solve 0 = 4*p - 5*k - g - 24, 0 = 2*p - 5*k - 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80362287 to the power of 1\/2, to the nearest integer?\nAnswer: 8965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-61)\/(-244))\/((-1)\/(-20) - 0). Suppose 3*a - 97 = w. Solve -3*y = 3*g - 6, 9*g - a = 4*g + 3*y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3225 and 2451?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 94 - 8*j**4 - 92*j - 33*j + 11*j**4 + 84 - 198 as l*j + d*j**4 + x + g*j**2 + w*j**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 4*u + 6. Suppose 4*l + 5*v + 10 = 0, 4*l + v + 2*v = -14. Calculate the remainder when 32 is divided by c(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-24)*24\/10. Factor 4\/5*s**3 + 0 - z*s**2 + 2\/5*s.\nAnswer: 2*s*(s - 1)*(2*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 0.04, -3, -1\/3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/20 + 6\/8)*0. What is the tens digit of 0\/(-2) + z - 110\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 - w - 1. Let x(d) = -d**2 + 5*d + 4. Let a be x(6). List the prime factors of l(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -29578\/27, -3\/23, -5?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263\/(-526) + (-8)\/12*-4.\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (50\/15)\/(2\/(-600)). Let s = 1800 + x. What is s rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*c = -3191 + 11997 for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(3 - 2 + 0)*(0*f + 4*f - 3*f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -77163650, -77163652, -77163656, -77163662?\n\"Answer: -u**2 + u - 77163650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1052426970?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejjj. What is prob of sequence ej?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 58951*n + 68848728.\nAnswer: (n + 1192)*(n + 57759)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.2 + -2.2. Let t = h + -15.5. Let j be (-1 + 10\/13)\/(3\/2). Which is the second biggest value? (a) t (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6529318563 to the nearest integer?\nAnswer: 1869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-4*(0 + sqrt(76)) - (sqrt(76) + 5 + 2*sqrt(76) + sqrt(76))))**2.\nAnswer: 192*sqrt(19) + 4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 9:39 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 6) in base 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 14*z + 20. Let l be n(-16). Let p be 10014\/36 - (-2)\/l. Is p less than 277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 5*f + 6, g + 3*f - 47 = -45 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*y - 6, -5*y = -2*k + 66. Let p(c) = c**2 - 28*c + 7. Let s be p(k). Solve 2*u + 2*g = -g, -u + s = 5*g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95 + -99. Let j be p\/((-2 + 4)\/(6 - 7)). Find the first derivative of 12 - 14*h**2 + 21*h**2 + 9*h**2 + h**j wrt h.\nAnswer: 34*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -3, 0 in increasing order.\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q + 45*q**3 + 15*q - 43*q**3.\nAnswer: 2*q**3 + 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000395522474 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4*g - 17 - 83, 0 = 5*g + j - 143. Suppose 0 = 4*s - 202 - 262. Suppose g + s = 4*l. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112469*g**4 + 756*g - 62?\nAnswer: 1349628*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, x: 1, i: 2, j: 2, a: 1, f: 2}. What is prob of sequence ifyj?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 11*o**2 + 9. Give w(-3).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28874994 = 23*i - 24*i - 6*p, 2*i + 5*p = 57749995. What is i rounded to the nearest one hundred thousand?\nAnswer: 28900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011010101011011101 - -1101?\nAnswer: -110011010101011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*l, -3*h + 14 = -h - l. Suppose -i - 86 = -3*o - 6*i, 4*i = h*o - 94. Is 22 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in -11.6, 2\/1463, -3?\nAnswer: -11.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1063*s**3 + 176*s**3 + 12*s**3.\nAnswer: 1251*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117, -100, -77, -48, -13?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (30\/(-4))\/((-42)\/168). Let h(d) = d**3 + d**2 + d - 1. Let l(k) = 25*k**3 + 30*k**2 + 30*k - 30. Give g*h(t) - l(t).\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27 - 1358?\nAnswer: -1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 - 1110?\nAnswer: -2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k - 74 = m, 5*k = 4*m - 23 + 24 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 577494 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-42)*-3 + (-6)\/12.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + (-18 - 48) + 67 + -1 + 2 + -5.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 11:48 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tk when two letters picked without replacement from zzzzzzzllktzz.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(66)*-5)\/(sqrt(30)\/(2*sqrt(5))).\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 11*b + 4 = -m, 17 = -5*m + 2*b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 76\/12)\/((-4)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23*(-33)\/10626 - (-10)\/56.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n - 2. Let i be a(-3). Differentiate -2371*p - 2*p**2 - i + 2371*p with respect to p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.330154 decades?\nAnswer: 0.00330154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/54333 and 8\/78481.\nAnswer: 706329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 58657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -267*b**2. Let q(t) = 831*t**2 - 278*t**2 - 276*t**2 - 268*t**2. Determine w(q(y)).\nAnswer: -21627*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5*-1*sqrt(72))*2.\nAnswer: -60*sqrt(2) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*2 + 31 + -37 + 4. Solve 3*b - 2*b + 2 = -2*l, u = l + 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7*w**2. Let x(n) = -n + 1. Let m(u) = -22*u + 5*u + 16*u - 4. Let c(k) = m(k) + 4*x(k). What is c(t(i))?\nAnswer: -35*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106405185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-170*r**2 + 170*r**2 + 33*r**3)*(4*r**2 - 2*r**2 - 3*r**2).\nAnswer: -33*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 12*b**2 - 28*b - 206. Calculate c(-10).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73859151, -73859130, -73859089, -73859022, -73858923, -73858786, -73858605?\nAnswer: -73858374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**2 - 2706 - 1541*m**5 + 4*m**2 - m**2 + 2702 wrt m?\nAnswer: -92460*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 6058?\nAnswer: 6058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 3*w - 2. Let j be 3\/((-1)\/(6\/9)). Let i be m(j). Solve 5*o - 3*v - 28 = 0, -o + 4 = v - i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**4 - 2*k**2 + 3*k - 5. Suppose -13*b = -0 - 39. Let n(d) = 16*d**4 + 8*d**2 - 10*d + 16. Let y(u) = b*n(u) + 10*m(u). Factor y(z).\nAnswer: -2*(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -o + 20398, 0 = -4*b - 6*o + 2*o + 20404. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a + 0 + 0)*(-3 - 2 - 7) as x + v*a and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 7:13 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0 (c) 9 (d) -1 (e) 2 (f) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/1 - (-4 + 3). Suppose 0 = -2*r - r - d, -4*o - 3*r = -14. Solve -3*z = -o*y + 28, 5*z + 2*y - 7 = -2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, -9, -2, 4, -4.\nAnswer: -11, -9, -4, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 477.0362 centuries in decades?\nAnswer: 4770.362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -1740*a**2 - 13129. Let y(l) = 9*l. Calculate c(y(v)).\nAnswer: -140940*v**2 - 13129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 10) + -2 - -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -104676\/161 + 4500\/7. Let z = 178\/207 + g. Find the common denominator of -73\/8 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416)\/(sqrt(8)*-1))\/sqrt(4).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2297, 5, 2\/13, 1 in descending order.\nAnswer: 2297, 5, 1, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 806065639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -85*x**3 + 18*x**2 + 20*x - 4. What is the units digit of u(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**6\/780 + j**5\/130 - 3*j**2. What is q in x(q) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 4416 = -4552. Which is the second biggest value? (a) -2\/7 (b) -0.006 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 times -1200?\nAnswer: -43200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 m when three letters picked without replacement from {m: 3, y: 13, b: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1287, 2574, 3861, 5148, 6435, 7722?\nAnswer: 9009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 1. Let c be i(3). Let u be (-4 - -13) + c + 1. Suppose 3*p - u = 1. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**8\/336 - c**7\/42 + c**6\/30 + 4*c**5\/15 - 4*c**4\/3 + 8*c**3\/3 - c**2 - 12*c + 2. Suppose m(i) = 0. What is i?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*t + 3*t + 6 = 0, 4*v + t = 8. Is (-6)\/(-18) - v\/(-3)*244 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((3 + 1)\/(-1))\/(-2). Suppose h - 9 = -w*h. Suppose -h*l = -12 - 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 5, 1, -3, 0.2 in decreasing order.\nAnswer: 24, 5, 1, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-134 + 1)\/(7889\/1127).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/17)\/o**(-2)*(((o*o**(1\/16)\/o)\/o*o)\/o*o)\/((o*o*o*o\/((o\/(o\/(o*o**(-1\/3)*o*o)))\/o)*o*o)\/o*o) assuming o is positive.\nAnswer: o**(-1757\/816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -6, 1, -5, -262, -10.\nAnswer: -262, -10, -6, -5, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 11?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 5. Let k be (-4)\/o - (-92)\/4. Let p = k - 16. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 + 433*q - 3*q**3 - 433*q.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(684) + 1 + sqrt(684) + 4 + sqrt(684) + sqrt(475)*-2 + sqrt(475) + -1)**2.\nAnswer: 182*sqrt(19) + 3260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 294 - 293. Calculate the greatest common factor of g and 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159809 is divided by 811?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 23*z**2 - 23 + 0*z + 0*z**4 + 0*z**3 - 18\/5*z**5. What is the second derivative of d(t) wrt t?\nAnswer: -216*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-188)\/282)\/((-2)\/414) is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 145*p. Let y(r) be the second derivative of -r**4\/12 + 112*r - 2. Determine j(y(m)).\nAnswer: -145*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25314, -51308, -77302, -103296, -129290?\n\"Answer: -25994*l + 680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/40 and -109\/26?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1734\/12 - 6\/4. What is the third biggest value in 3, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086 (base 9) in base 16?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zgesh. What is prob of sequence eg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -3*h - 1, -13 = 2*k + 5*h - 38 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 528601.7ms in nanoseconds?\nAnswer: 528601700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2340*b - 2330*b - 17 = -107 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2*p + 6, -4*i = -0*p - p - 13. Let o = 1 + i. Suppose 0 = 4*v + 2*u - 26, 19 = 4*v - 2*u + o. Sort -3, v, -5 in ascending order.\nAnswer: -5, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-9)\/j)\/j*j)\/(j\/(j**(-2\/7)\/j)*j))**(-2\/149))**(-46) assuming j is positive.\nAnswer: j**(-8556\/1043)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -26*u**3 - 4*u**2 - 5*u - 4. Is x(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -14*r + 84. Calculate w(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -40*y**2 + 2*y + 15*y**2 - 5 + 18*y**2 - 2*y**3. Is j(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*o + 3*h, 2*o - 4 = 5*o - 5*h. Let x be (o - -2)\/((-4)\/8). Suppose -5*c = -x*k + 318, 0*k - 157 = -k + 2*c. What are the prime factors of k?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 469\/(-105) - 1\/3. Let h = -22 - -19. Put p, -2, h in increasing order.\nAnswer: p, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133226 is divided by 339.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 253906 times -5\nAnswer: -1269530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 82\/(-26) - 14\/(-455)*5. Put 3, 58, k in descending order.\nAnswer: 58, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*((-5 + 1*sqrt(325) + 3 + (sqrt(325) + -2 + sqrt(325) - sqrt(325) - sqrt(325)))**2 + 1) + -4.\nAnswer: -80*sqrt(13) + 679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lf when two letters picked without replacement from lffotppfflolgpo.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 3\/2)\/(160\/(-1792)*21).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*n + 34. Let c(d) = d**3 + 7*d**2 + 8*d + 5. What is the remainder when c(-5) is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/8 + 882\/504\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41863.78 + -3.02063.\nAnswer: -41866.80063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40599 and 1467.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 122 - 197. Let r = 1643 + -1572. Let u = z + r. Which is the second biggest value? (a) 2\/5 (b) 0.06 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/1677?\nAnswer: -1\/1677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 - 14*o. Calculate the remainder when 644 is divided by p(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 + (-8 - 28) - -1\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 91*u - 334 - 670 + 185 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*x - x + 162, 2*x - 82 = t. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -44, -365, -1228, -2903, -5660?\n\"Answer: -45*w**3 - w**2 - 3*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1636.8874 to zero dps.\nAnswer: -1637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 1:46 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 2. Let y = -6.9 - p. Sort -1\/5, y, 3.\nAnswer: -1\/5, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3092.\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n**3 + 9 + 0*n + 5*n**3 + 2470*n**2 - 2465*n**2 + 0*n as m*n + t*n**2 + v*n**3 + q and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 10 - -7 - -1 - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 32*i**2 + 83*i - 180. What is the remainder when q(-28) is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9977 a factor of 5075396620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12241011220 (base 5) in base 9?\nAnswer: -30730151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3670 and 6620?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 13, -1 in increasing order.\nAnswer: -1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 344 + 400 = 0. Let t(i) = 12*i**2 + 59*i + 26. Let o be t(-5). What is the highest common divisor of y and o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 177*w**2 + 87*w - 57. Is d(6) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*g + 1375, 3*q + 1351 = -2*g - 2*g. Let z = 343 + g. Factor 5\/4*x**z - 5\/4*x - 5\/2 + 5\/2*x**2.\nAnswer: 5*(x - 1)*(x + 1)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*y**2 - 888*y**3 + 5*y - 2*y**2 - 8*y**2 - 5*y.\nAnswer: -888*y**3 - 28*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - u + 21 = 0, 0*j + u = -2*j - 3. Let i be 29 + -28 - (-5)\/j. What is the third smallest value in i, 1\/9, -5, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2146, -4066, -5986?\nAnswer: -7906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 216*s**3 + 224*s**3 + 170*s**2 + 68*s**3 - 2 + 5*s - 169*s**2 in the form f + r*s**3 + j*s**2 + u*s and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10494858)\/(-297) - (4 - (-136)\/(-36))?\nAnswer: 2, 7, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*w**2 + 8854*w + 44505 wrt w.\nAnswer: -6*w + 8854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1064, -1060, -1056, -1052?\nAnswer: -1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1406 - -796.448086.\nAnswer: 2202.448086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttsnvtsehtvhnset. What is prob of picking 1 s and 1 n?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.563606 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -39. Let s = g - -40. What is the remainder when s is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -44893*a**3 + 44887*a**3 - 2 + 1. Calculate f(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/303 and -41\/2427.\nAnswer: 245127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**3 - 7*q**2 + 2*q + 49. Let u(f) = 4*f**3 - 6*f**2 + 2*f + 48. Let o(b) = -2*u(b) + 3*w(b). Let c be o(7). Do -33 and c have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 34890.\nAnswer: 7\/34890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10587 + 21867 + 11483 + 9996 + 16619)*(-1 - 1 + 4)*(5*f - 2*f - f) to the form s + g*f and give g.\nAnswer: 197512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*((sqrt(18))**2 - sqrt(2)) + (sqrt(36)\/sqrt(2))\/sqrt(9)).\nAnswer: -12*sqrt(2) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1) + -48 + (78 - 36)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 13. Suppose 3*c = -a*c. Suppose 42 = -c*m + 3*m. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1760125?\nAnswer: 5, 14081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 + -22. Suppose -2*b = -0*g + g - w, -5*g = -5*b - 105. Suppose -15 = -4*d - d. Calculate the highest common divisor of d and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 71944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -50.4, 0.1, -3?\nAnswer: -50.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 + -69 + -5 + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*a**5\/5 - 138*a**4\/5 + 252*a**3\/5 - 54*a**2\/5 - 51*a\/5 = 0. What is a?\nAnswer: -17, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 942.13.\nAnswer: -3768.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337*j - 261*j = 7752. Calculate the lowest common multiple of j and 42.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 80*j - 59. Let k be v(4). Suppose k*s + 5870 = 271*s. What are the prime factors of s?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 3 + sqrt(245) + 2)**2 + -5 - (sqrt(245)*-2 + 1 + (2 + sqrt(245)*2)**2)*1) + 1.\nAnswer: -644 + 98*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.18859297814 - 338737.81136702186. Let x = j + 338731. Let d = x + 7. What is d rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a - 5. Suppose -6*t = -2*t - 16. What is l(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 377 - 372. What is the closest to -0.1 in f, 2\/7, 0.5, 6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p**2 + 7*p**3 - 2*p**2 - p**2 - 3*p**2. Let u(l) = 2*l**3 - 4*l**2. Suppose -8*x + 13*x - 5 = -5*c, -2*x + 2*c + 10 = 0. Give x*w(d) - 8*u(d).\nAnswer: 5*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 0.4 (b) -83 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/9*b**4 - 2\/9*b - 2\/3*b**3 - 2\/3*b**2.\nAnswer: -2*b*(b + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (-12 + 14 + -7)) + -12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhni when four letters picked without replacement from {i: 3, h: 5, n: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 35. Calculate the remainder when 118 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1156 and 1360?\nAnswer: 23120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -446.9 - -447. Let m = 0 + 2. Let p(w) = w**2 - 2*w - 2. Let q be p(3). What is the nearest to q in m, 2\/3, l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-3))\/((-2)\/30). Suppose 333 = -3*k + 8*k - 4*x, -r*k + 2*x = -329. Calculate the lowest common multiple of (156\/k)\/((-3)\/(-20)) and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104514.37714 rounded to the nearest 1000?\nAnswer: -105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1222224014 (base 5) to base 10\nAnswer: -2929884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 4:10 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -78aa5 + 111?\nAnswer: -78994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - u + 1, 3*u = 14*q - 12*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (11 - 8) - (-20 + 11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 10*s**2 - 10*s + 2. Is j(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5392 - 632278.\nAnswer: -626886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**3 + 11 - 2*o**2 + o**4 - 19*o + 2 - 12 + 4*o**3 - o**3 as u*o + j*o**3 + h*o**4 + x + t*o**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l**3 + 2*l**2 + 2*l - 1. Let p(d) = 10*d**3 + 5*d**2 + 4*d - 2. Let y(c) = 5*m(c) - 2*p(c). Let s be y(1). Let b = 9 - 4. Solve s = -b*f - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(432) + sqrt(432) + 0 + sqrt(3) + (sqrt(3) + 0 + sqrt(3))**2*4 + (-4*sqrt(231)\/sqrt(7))\/sqrt(11)).\nAnswer: -240 - 105*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91673 is divided by 95.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 1:06 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7109, 7105, 7107, 7115, 7129?\nAnswer: 7149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(3\/7)))\/(((x*x**(-1\/4)*x)\/x)\/x*x*x))**(-21)\/((x**(2\/5)*(x**(-3\/5)\/x)\/x)\/(((x**(-2\/17)\/x)\/x*x)\/x**(2\/13))) assuming x is positive.\nAnswer: x**(126759\/4420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38345735?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/13, -5, -82, -4, 0.4, -8, 49 in decreasing order.\nAnswer: 49, 6\/13, 0.4, -4, -5, -8, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 9. Sort 0, 2, f.\nAnswer: f, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 39*h**2 + 46*h + 1. Let g(l) = -101*l + 1. Calculate t(g(a)).\nAnswer: 397839*a**2 - 12524*a + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.022, 2046\/35, -1.2, -0.3?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 11*o - 2. Let v(q) = 5*q - 1. Let j(w) = -6*n(w) + 14*v(w). Let m(y) be the second derivative of y**3\/6 - y**2\/2 - y. What is j(r) - 2*m(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -65 - 25. Suppose o*n - 84 = 1914. What are the prime factors of n?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2 + (-3)\/54. Suppose 248 = 92*n + 156. Which is the second smallest value? (a) 0.1 (b) n (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 696936 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 640.99716 - 641. Round o to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2900 and 23603825?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 307398 and 858?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 390 = 2*u - 3*x, -2*u = -3*x - 177. Let j = -52 + 75. Let d = -14 + j. Calculate the highest common divisor of u and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (28 - 25)) + -7 + -62?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*s**2 - 9592*s + 9592*s.\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9509 in 1\/4, -4, -11, -0.5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 20*b**3 - 8*b**2 - 19*b**3 - 4. Let i be c(7). Let o(r) = -r**3 - 4*r**2 - 7*r - 4. Is 12 a factor of o(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8060.113 decades?\nAnswer: 80601.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52433, -52460, -52489, -52520, -52553, -52588?\nAnswer: -52625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + -2*-3*(-5 + sqrt(15)\/sqrt(3) + 2))**2*2 + -3.\nAnswer: -4363 + 1920*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -144*c**3 + 27*c + 27. Let d(m) = -26*m**2 - 5 + 11*m**3 + 26*m**2 + 1 + 2 - 2*m. Determine -27*d(l) - 2*x(l).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 9*k - 55. What is q(-6)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + -36 + 5 + -37.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3651234 (base 7) in base 8?\nAnswer: -1616524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8)\/(-10)*(2 - -63) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 105227918?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*x = 2, -5*x + 0*x = 2*q + 6. Let m be ((-108)\/30)\/(q\/(-10)). What are the prime factors of ((-14)\/6)\/((-6)\/m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*z**5 + 4576*z**4 + 85006*z**3 + 301822*z**2 + 390520*z + 169000 = 0 for z.\nAnswer: -10, -13\/8, -1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - x + 148 = 0. Let u = -15 - x. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q + 3. Let n(o) = 8*o - 91. Let j be n(12). Let r(v) = v + 1. What is j*r(g) - 2*s(g)?\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9331264 and 2110.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**4 + 0*q**4 - 4*q**4)*(1 + 0 + 0) - 59*q**4 + 6436 - 2417*q**4 - 6436.\nAnswer: -2478*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 12*h**2 - h + 1. Let i be s(1). Suppose 0 = 11*t + 21 + i. Let f be (-4)\/10 + 38\/20. Which is the biggest value? (a) -3\/5 (b) t (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10439 divided by 10439.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 65, 68, 77, 92, 113, 140, 173?\n\"Answer: 3*g**2 - 6*g + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 17*y**2 - 6. Determine b(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -21. Solve 18 = -4*s + a, -s = s + 2*a + d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 18005198.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = t + o, 3*t + 25 = 5*t - 5*o. Suppose -4*c - 9 = -3*b, 5*c + 4*b - t = -3. Let g be 1 + c + 1 + 2. Solve 0 = v + 3*v + g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**3 + 14*l**2 - l - 7799 with respect to l.\nAnswer: 3*l**2 + 28*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 28 = -50. Let i(h) be the first derivative of h**4\/4 - 2*h**3\/3 - h**2\/2 + 2*h - 1. Calculate the remainder when i(4) is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/25*3 - 0. Which is the closest to 1? (a) -78 (b) i (c) -1 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358299 a multiple of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25726523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + 5. Let v(w) = -93*w + d*w + 45*w. Let p(s) = s**2 - 2. What is p(v(t))?\nAnswer: t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001135 to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08046808 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 - 270*o**2 - 98 + 33 + 37 to the form z*o**2 + j*o + c and give z.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**20\/(v\/v**(-1\/2))*v**(-9\/4)\/(v\/(v\/v**(-13))))**(-22) assuming v is positive.\nAnswer: v**(-1287\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 720 divided by -93?\nAnswer: -240\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -442 - 158 = -8*o. What is the greatest common divisor of 25 and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -381*j**2 + 423*j + 3. Let m(b) = 386*b**2 - 423*b - 4. Let p(l) = 4*i(l) + 3*m(l). What is the second derivative of p(h) wrt h?\nAnswer: -732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -842 (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 79 = 16*q + 11 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4811?\nAnswer: 17, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -6. Let i = j - 36. What is the highest common divisor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408723.2mm in meters?\nAnswer: 408.7232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 2*h + 16 - 24, -5*h + 5 = -5*d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1242*q**5 + 549*q**4 + 110788*q - 5 wrt q?\nAnswer: 24840*q**3 + 6588*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7\/9, -1.\nAnswer: -4, -1, 7\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 12 = -s - 0*t, -8 = 2*t. Let o be s\/(-3) + (-1 - -3). Differentiate 27*z + 5*z**o + 5 - 27*z + 2 wrt z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*(sqrt(35) + 3*sqrt(35) - sqrt(35)))\/(sqrt(7) - sqrt(252)\/sqrt(4)))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -312 + 302. What is the fourth smallest value in a, 0.5, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(3\/(-6) - -4). Suppose -3*p = -5*v + 25, 0 = -v + p - 0*p + b. Solve -v*k - 5*x = 28, 0*k - x = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335.7217 milligrams in nanograms?\nAnswer: 335721700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/4140 and -83\/21140.\nAnswer: 4375980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239249 is divided by 174?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1800 in 0.3, -3, -15, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4 - 5. Let g = 2 - -5. What is the lowest common multiple of o and 1\/28*g - (-35)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 l when four letters picked without replacement from llllltltl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 7135137.\nAnswer: -5\/7135137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1.7. Let h = 0 + 3. Suppose -h*p + 8*p + 5 = 0. What is the third biggest value in s, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**5 + 81*s**2 - 3*s + 89 wrt s.\nAnswer: -40*s**3 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258*h + 261*h + 486 = 0. Let r be h\/(-891) + (-3)\/((-66)\/8). What is the third biggest value in -0.1, -2\/11, 1\/4, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5406 and 14.\nAnswer: 37842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 54*b - 35. Let r be y(-4). Let a = 255 + r. Factor 0 + 0*h + 0*h**2 + 2\/9*h**3 + 2\/3*h**a.\nAnswer: 2*h**3*(3*h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -7*s - 12132. Let i = 7415 + -2503. Let r = i + s. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1997593 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -581 and -582 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-2))\/(3\/4). Let g be b*(0 - 3\/6). Suppose 4*k = -16, 0 = -g*o + 5*k - 260898 - 399082. Round o to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 304 + -3242?\nAnswer: -2433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 429238174 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 226. Calculate s(28).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -d + 20. Suppose d*v + 4*g = -g, -18 = -2*v + 4*g. Suppose 2*j = v + 7. Solve 3*b - j = -17 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*k + 20, -4 = -l + k - 0. Suppose l = 2*r - 5*h - 310, -r = 4*r - 5*h - 790. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 3*h - 35*h**2 + 223\/210*h**7 - 1\/2*h**3 + 1\/8*h**4 + 0*h**6 + 0 + 0*h**5. What is the second derivative of j(y) wrt y?\nAnswer: 2676*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/1780 and 81\/200.\nAnswer: 17800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110 (base 2) in base 5?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 149095 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05 - 0.45. Let y = q - 27.6. Let l = -27.99924 - y. Round l to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 2 + 1. Suppose f + 3 = p. Calculate the remainder when (f + -1)\/9*-69 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -1001002122112?\nAnswer: -1001002122112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhllmljlijmill. Give prob of picking 1 m, 1 j, and 1 i.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8554 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 45930.6 nanometers?\nAnswer: 0.0000000459306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + -45. Put z, 0.07, 7\/3, 0.1 in descending order.\nAnswer: 7\/3, 0.1, 0.07, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100\/30*(-37740)\/(-6800).\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34385 divided by -780?\nAnswer: -529\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -198883 at least -2187707\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 289860\nAnswer: -1\/144930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 247 - 273 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*h + 5. Let b(q) be the third derivative of 5*q**2 + 0 + 1\/12*q**4 - 1\/6*q**3 + 0*q. Determine b(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414321 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 j = 17 - 25. Let h = j + 12. Suppose d + h*s = -s + 11, -s - 65 = -4*d. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -56, -166, -444, -968, -1816, -3066, -4796, -7084?\n\"Answer: -13*m**3 - 6*m**2 - m - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 130*w + 5. Let d(k) = -261*k - 12. Calculate -3*d(y) - 5*m(y).\nAnswer: 133*y + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6779 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.599163nm in micrometers?\nAnswer: 0.003599163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 154493.6 to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 26*c - 13. Let k be m(10). Suppose 5*p + 63 = -k. Let f = 19 - p. Calculate the highest common factor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyabkskhkbsb. What is prob of sequence saky?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 17 (c) -3\/4679\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 7 = -2*u. Suppose 2 = u*z - z. Which is smaller: 4\/9 or z?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -2\/11 (c) -6 (d) 4 (e) 2\/5 (f) 226\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvzrvvvzzrvr. Give prob of sequence vvzv.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 20, 3*c + 3*i = 5*i + 350. Calculate the greatest common divisor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3644 divided by -6.\nAnswer: -1822\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*n - 2*n**3 - 418751*n**2 + 418546*n**2 - 4*n to the form c*n**3 + l + h*n + z*n**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 850.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 57980 - 55904 - 138374.\nAnswer: 2*l - 136298","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-4\/3)*v)**(-23)*v**(-1\/36)\/v**(-3\/23) assuming v is positive.\nAnswer: v**(-12611\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, i: 3, y: 2, s: 10}. Give prob of picking 1 i and 1 y.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860 is divided by 145.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 12. Let s = 13 - d. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00169682729 to 5 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z. Let k(x) = 3*x**2 - 172*x + 172*x. What is k(j(b))?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1377000 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c4e0d (base 15) to base 2.\nAnswer: -10011000011000100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 763*v + 375 + 115 + 209 with respect to v.\nAnswer: 763","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100 + 1011110100101?\nAnswer: 1011110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -130787 or -130783?\nAnswer: -130787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - (-1326)\/52)*2952\/36.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 11 + 1\/30*y**6 + 0*y**2 - 1\/5*y**5 + 1\/12*y**4 + y**3 - 3*y. Factor m(q).\nAnswer: q*(q - 3)*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: 11297 * -3\nAnswer: -33891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4351, -0.5, -1\/4?\nAnswer: -4351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from {l: 4, b: 6, h: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021918 rounded to five dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6563.\nAnswer: 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3435162 is divided by 154?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (66 - 70)\/(-1 + 4 + -4). Sort -5, 5, -4, -36, f in ascending order.\nAnswer: -36, -5, -4, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h. Let l(c) = 6*c**2 + 259*c. Calculate l(s(k)).\nAnswer: 6*k**2 - 259*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -17*q**2. Let p(b) = b + 5. Let h(i) = i + 7. Let o(g) = -5*h(g) + 7*p(g). What is o(j(t))?\nAnswer: -34*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*a - 4*a. Let z be -5 + (a - 0 - 1). Which is greater: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**4 + o**4 - o**4 + (-7*o + 0*o + 0*o)*(2*o**3 - 3*o**3 - 2*o**3) + 10 + o**4 - 10 to the form k*o + s*o**2 + l + c*o**4 + h*o**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 9 + 6 + -1 + -11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1277 - -1276.9992638. Round v to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 19*m - 17. Let q(j) = -44*j + 41. Let f(l) = -7*a(l) - 3*q(l). Give f(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.171*2.66\nAnswer: 0.45486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/5)\/(9\/15). Let j = -0.1 - 0. Let a = j + 0.4. What is the second biggest value in p, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m - 201. Calculate the remainder when x(42) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 16*o + 37. Let y be s(-15). What are the prime factors of (-10)\/(-25)*-5 + y\/1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*0*(-7)\/63?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7*n + 1455. Give h(240).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1 + g - 3*g + 4*g. Let y = 364 + -359. Calculate the remainder when y is divided by f(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -15*n**3 + 29312256*n**2 - 568652235*n + 222770934 = 0?\nAnswer: 2\/5, 19, 1954131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 922?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-60 - -27) + -49 + -45\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 k when three letters picked without replacement from khhhvvkkvkkkkhkhkvk?\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**3 - 6*q**2 + 5. Let c(x) = 2*x**3 + 110*x**2 - 229*x - 61. Let y be c(-57). Let o(g) = 4*g**3 - 12*g**2 + 9. What is y*o(r) + 7*k(r)?\nAnswer: -2*r**3 + 6*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 12353.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/3732 and -29\/744.\nAnswer: 231384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12*(-2)\/(-4))\/10. Let v be (-9)\/(-12)*32\/66. Put 3, u, v in ascending order.\nAnswer: u, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.9 and 2.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 - 3*z - 3*z - 3*z**3 - 8*z.\nAnswer: -3*z**3 - 14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven halves of a day?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 603924 and 1888.\nAnswer: 4831392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 289697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 13. Let t be s(0). Let n = t + 47. Let q = 186 + -101. What is the highest common factor of q and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35344 and 329.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 122 - 49. Let p = -93 + k. Are p and -18 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89*g*j**3*q**2 - 4*g*j*q**2 + 17*g*q - 4*j**3 + 2*j**2*q - 9*j*q - q**2 wrt j.\nAnswer: -534*g*j*q**2 - 24*j + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**5*d - 5*a**4*d - 402*a**4 - 3*a**2 + 268*a + 5*d wrt a?\nAnswer: -180*a**2*d - 120*a*d - 9648*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -11*g**3 - 33*g**2 + 46*g. Let s(f) = -4*f**3 - 12*f**2 + 15*f. Let c(z) = -3*d(z) + 8*s(z). Factor c(v).\nAnswer: v*(v - 3)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(245)*-1 + sqrt(245))*-5)\/(-3*2*sqrt(7)))\/(-2*sqrt(320) + -6*(sqrt(5) + sqrt(20)\/sqrt(4) + sqrt(5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 19*z**2\/2 + 17. Let h(c) = -3*c**2. Calculate h(s(k)).\nAnswer: -1083*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.263 + 0.063. What is the closest to h in -2\/3, 5, 4\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 8. Suppose 0*y = y + t - 30, p*y - 62 = -3*t. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 2*a - 5*c, 248 = 5*a - 2*c + 30. Let t = a - -218. What is t rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7052 by 4293.\nAnswer: 7052\/4293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-1 - -2)\/1. Let c be -1*(2\/(-2) + 1). Let s = c + l. What is the least common multiple of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22 and 951.\nAnswer: 20922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 95824141 to the power of 1\/2, to the nearest integer?\nAnswer: 9789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 25. Let p(x) = 0 - 2*x**2 + 7*x**2 - t. Let u(m) = -m**2 + 4. Let h(a) = -2*p(a) - 9*u(a). What is the first derivative of h(v) wrt v?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-9044)*(-13)\/((-208)\/76).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 603 and 4905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*w = 0, -3*u + 3*w = -9 - 9. Let g(q) = 23 - u*q + 5*q - 23. Let c(t) = -4*t**2 - 4*t**2 + 3*t**2. Give g(c(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2463 + 147799\/60. Find the common denominator of u and 7\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2170*n. Let g(u) = -4*u**2. Determine g(h(z)).\nAnswer: -18835600*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7059 + 162?\nAnswer: -69a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + 503 - 49 - 31 to the form l + m*j and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 13146?\nAnswer: -13142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 207*3*(-50)\/(-45). Suppose -1845 = -15*d + w. Is d a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d - 2*d - 3*d + 7*d. Let h(k) = 4*k**2. What is h(q(b))?\nAnswer: 64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r**2*r)))**(-8))**1)**(14\/11) assuming r is positive.\nAnswer: r**(-336\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**5 - 14166*o**4 + 71031*o**3 + 595170*o**2 - 2042064*o = 0. What is o?\nAnswer: -4727, -6, 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(1\/4))*z**(-4\/15)\/z)\/((z\/(z\/z**(-2\/9)))\/z**(-7\/3)) assuming z is positive.\nAnswer: z**(-653\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*u + 55 = -11, -m + 10 = 4*u. Let a = -25 + m. Let f(r) = -r**3 - 6*r**2 + 6*r - 9. Let i be f(a). What is the third biggest value in -3, i, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(99) + sqrt(99))\/sqrt(11) + (-3*sqrt(72))\/sqrt(8))\/((sqrt(750)*-2)\/(sqrt(160)*-2)).\nAnswer: 4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 76*c - 59*c - 136 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21377536 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(42)*1*2)\/(sqrt(30)\/(sqrt(10)\/sqrt(2)))*-3.\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 116196474*j - 116196477.\nAnswer: 3*(j - 1)*(j + 38732159)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 4*z - 26. What is x(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (8\/12)\/((-4)\/6). Solve -g*w = -5*x - 4, 3*w - 12 = 7*w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25863769739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 43 = -3*u - 10, -4*u - 52 = 4*y. Let p = 29 - y. Let n = -41 + p. Solve r = -n*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20749495 rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153 and 9511092?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnnnnnngnngggn.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-25))\/((-15)\/(-25) - 1).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5423.93 centuries?\nAnswer: 6508716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.3564202 rounded to 3 decimal places?\nAnswer: -19.356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84 + 64. Which is the smallest value? (a) 0 (b) f (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p - 4. Give j(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000025 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6, -62, -208, -486, -938?\n\"Answer: -7*l**3 - 3*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1294.\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 2. Let q = l + -4. Let y = -0.105 + 0.105. Put -0.5, q, y in increasing order.\nAnswer: q, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -655*h**3 - 2073*h - 8180*h**2 + 700*h**3 + 253*h = 0 for h.\nAnswer: -2\/9, 0, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 711 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 39, 20, 19, 42, 95?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 256 + 1. Let l = -253 + x. Which is the second smallest value? (a) -5 (b) -1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(143) + (sqrt(143) - (sqrt(143) - -2*sqrt(143))) + sqrt(143)))\/(sqrt(1331) - -2*sqrt(1331)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*r = -391*r + 155*r - 17134 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 52 = -h - 37, -3*h - 4*p - 35 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4967156 by 1241789.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Express 154133 + f**2 - 73*f - 154133 in the form g + r*f + q*f**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 3*f - 3. Let m be b(3). What is the smallest value in m, 3, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1884)\/1099*(-72)\/(-54)*-7\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a (base 16) in base 7?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (45\/39 + (-8)\/52)\/1. Let b(p) = p + 1. Let d(j) = 10*j + 6. Let w(n) = 5*b(n) - d(n). Determine w(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*s**5 + 15709*s**2 - 10050*s - 2?\nAnswer: -60*s**3 + 31418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3360025, -3360026, -3360027?\nAnswer: -3360028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/2337 and 151\/56544.\nAnswer: 2318304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3688792 and 4880?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3. Let k be (3 + 13\/j)\/1. Let z be (0 - -10)\/(1\/8). Calculate the highest common divisor of z and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 286, 574, 852, 1114, 1354, 1566, 1744?\n\"Answer: -d**3 + d**2 + 292*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + ((27105\/(-385))\/39 - (-5)\/7).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -134, -212, -310, -434, -590, -784?\nAnswer: -1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/5, -1, -0.05 in descending order.\nAnswer: 4, 2\/5, -0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/16 and -83\/120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 793\/7 - 113. Let x = -83.6 - -84. Let a = 346 + -342. What is the nearest to f in 7, x, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c**3*c))*c*c\/c**(-38)*(c**(-20))**24)**50 assuming c is positive.\nAnswer: c**(-21750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 829382?\nAnswer: 2, 414691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/10 + 240\/25. Let u be (-3234)\/(-44) - 6\/4. What is the highest common factor of u and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 16 = 3*a, 5*h + a = -6 - 14. Let i = -19.6 + 20. Sort -0.3, h, i.\nAnswer: h, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16167 + -6420. Does 20 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20c10 (base 13) to base 6\nAnswer: 1133523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*x + 1)*(-2 + 3 - 2) + 1 - x + 5*x - 5 + 25*x - 12*x + 40*x.\nAnswer: 55*x - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, m: 4}. What is prob of sequence oo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -115.13 - -114.6211. Round c to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - p**2 - p + 27. Let j be b(0). Suppose 17*r + 0*r - 85 = 0. Let s = r + j. Calculate the greatest common factor of 352 and s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -110 - -116. Suppose -26 = 4*k - q*k. Solve 0 = -5*p + 3*i + 13 + k, -p = -i - 6 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 870 * -0.2\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 6. Suppose -4 - 2 = -2*u. Suppose -4*j + u*j - 6 = 0. Let n be i(j). Solve -3*v + 7*v + 8 = n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b3 (base 14) to base 11.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13267*l**2 + 5510*l + 1 wrt l.\nAnswer: 26534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1164 = -137*b + 234*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -7*l**3 - 2*l**2 + 4*l - 5. What is t(2)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q + 5*q - 3*q + (3*q - 2*q - 3*q)*(-1 + 1 + 2) + 5326*q + 3283*q + 4566*q to a*q + o and give a.\nAnswer: 13170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1\/8))\/((c\/c**(1\/26))\/c*c)*c**5\/(c\/(((c**(-2\/59)*c)\/c)\/c)) assuming c is positive.\nAnswer: c**(17669\/6136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 20*g - 68. Give y(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0)\/((-2)\/(-34)). Let n = -73 + 83. Let c be n*(-1 + 2)\/2. Solve -r + 2 = c*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3185*c + 5. Let w(u) = -7*u**2 + 2*u - 2. Let t be w(1). Let h be z(t). Round h to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 21*j**2 + 1. Let u(d) = d**3 + 1 + 23*d - 4*d - 4*d**2 - 14*d - 2*d**2. Let q be u(5). Give a(q).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 4 + (6 - 4). Let d be (3\/(-27))\/((-2)\/t). Is d < -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*t - 14*t + 38*t + 3*t**3 - 2*t.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9408.6636686 and 0.2.\nAnswer: -9408.4636686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -23*u - 54. Let f(j) = -47*j - 107. Let l(y) = 3*f(y) - 5*v(y). Determine l(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.08 - 0.08. Suppose -42*s + 3 = -43*s. Which is the second smallest value? (a) s (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1da (base 16) to base 11.\nAnswer: -3a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112109 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68704.\nAnswer: 2, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 5:04 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s**2 - 4*s**3 + 5*s**3 - 2*s**3 - 15*s**2.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 616996224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*1 - -23*(-6 + 9) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**5\/60 - 16*t**2 + 4*t. Let b(m) = 22*m**2. Determine i(b(l)).\nAnswer: 484*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156009 - 696591 = -245*f. Does 20 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*q**2 - 700*q - 2875 = 0 for q.\nAnswer: -115\/51, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 297*d**2 + 496*d.\nAnswer: 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 0 (c) -0.1 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000031714 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 17. Suppose 2*x + a - 5 = 0. Solve 3*i**3 - 5*i**5 - i**2 - 2*i**x + 3*i**4 + 2*i**5 = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/1 - 216\/110 and (4 - (-1832)\/(-140)) + -78 + 88.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -294 divided by -120481?\nAnswer: 294\/120481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 + 14*q - 10. Let p be t(6). Suppose 3*r = 3*k + 21, -2*r - p*k - 2 = -r. Let s be r\/(-12)*6\/(-2)*-7. Do -4 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-46)\/40 + 22\/(-88)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6545263 > 6545271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 77*f - 138. Is 33 a factor of z(29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 3) + -1 + -3. Let s(p) = -p**2 - 10*p - 14. Does 5 divide s(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 1285*f**8\/336 + f**7\/105 - 305*f**5\/12 - 2727*f**2. What is the third derivative of j(k) wrt k?\nAnswer: 77100*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30934978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g. Let k(x) = 4*x. Let i(r) = 5*k(r) + 4*w(r). Let h(n) = -5*n**2 + 2*n**2 + n**2. Calculate i(h(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -657.652\nAnswer: -263.0608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(5\/4)*l*l**(-2)*l*l*(l*(l*l**(-2\/7)*l)\/l*l)**(-40))\/((l\/l**(-2\/3))**44*l*l**6*l*l**3) assuming l is positive.\nAnswer: l**(-16015\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 56726610?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**6\/270 + 7*h**5\/90 + 7*h**4\/18 + 16*h**3\/27 + 81*h**2. Let b(f) = 0. Calculate f.\nAnswer: -8, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -191, -331, -525, -791, -1147?\nAnswer: -1611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000049 to 6 dps.\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-8) + 83\/(-2). Let d = -13 - w. Suppose -z + 13 + 6 = 2*x, -3*x - z + d = 0. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4*(sqrt(99)*-2 + 4 + 2*sqrt(99) + -5 + sqrt(99))*5)**2.\nAnswer: -1920*sqrt(11) + 39856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 544 and 586568.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-2)*1*8. Let x = 34 + c. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2917506 * -262\nAnswer: -76.4386572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**7\/6300 - n**6\/900 - n**4\/24 + 2*n**2. Let w(o) be the second derivative of g(o). Determine f, given that w(f) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cchcccchchhcchcc. What is prob of picking 4 h?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - t**2 + 29. Let v be 1\/(-2)*(1 - 1). Let p be b(v). Which is smaller: 27 or p?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 148092988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167, -340, -513?\nAnswer: -686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 - 14*f**2 - f - 151. Is 36 a factor of i(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 5. Let x be a(10). Let b be (-3 - -1)\/2 - x\/(-3). Let i(r) = -r + 1. Give i(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 3 = -11*v - 3*k, -3*v - 5 = -5*k. Suppose v = -9*p + 1852 + 974. What is the remainder when p is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, 1\/3, -4\/3, 8, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 160 - 163. Let r = 8.9 - 9. Let l = r - 0.3. What is the third biggest value in x, l, -2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 11*k = -6219. Let f(b) = -2 + k*b - 2 + 1685*b. Let q be f(1). Round q to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*t - 3524 = 4572 for t.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1045, -4115, -7185, -10255, -13325?\n\"Answer: -3070*k + 2025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-4)*(-10)\/(-20). Let r(t) = -t**3 - 5*t**2 - 3*t + 5. Let k be r(-4). Let s be (k\/(-6))\/(1\/4). What is the closest to 0.1 in w, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z + 68. Let c be p(16). Solve -18 = 2*d - 2*q - 20, 5*d - c*q - 5 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83920.47 weeks to microseconds.\nAnswer: 50755100256000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8524694 divided by 4262347\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5 - 7. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/3)\/s**(-3\/2))\/((s**(-1)\/s)\/s*(s*s\/s**(-3\/4)*s)\/s*s) assuming s is positive.\nAnswer: s**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -994*b + 992*b - 8, 3*b + 5 = w. Let k be (-1)\/370*373 + 1. Which is smaller: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7519, -7517, -7517, -7519, -7523, -7529, -7537?\nAnswer: -7547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 1474526692.\nAnswer: 1474526687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 82*o**2 + 4*o + 1. Let v be t(-1). Let h = v - 67. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -375\/658 + -1\/658. Let s = 24.8 + -28. Let y = s + -0.8. Sort y, w, -0.3 in decreasing order.\nAnswer: -0.3, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 33*o. Let l(c) = 161*c**2 - 65*c**2 - 89*c**2. Calculate q(l(s)).\nAnswer: 231*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/84 and -11\/16.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 38385056 to the power of 1\/3, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130889 is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k**5 - 207*k**4 + 393*k**3 - 156*k**2 - 108*k + 48 = 0 for k.\nAnswer: -1\/2, 2\/5, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 524 (b) -7 (c) -1 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 39573.\nAnswer: 39573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -8*j. Calculate the remainder when u(-7) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (39\/(-52))\/(3\/(-16)). Let a be -68*2*n\/(-32). Which is smaller: 16 or a?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -119.013 - -116. Let j = g + 0.013. Which is the closest to j? (a) -1 (b) -0.3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 16) to base 7\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 4 - 4 - 3*s + 2*s - 7*s + (s + 0 + 0)*(-2 + 1 + 2).\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4065442757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 14. Let a(v) = -v**3 - 8*v**2 + 10*v + 12. Let u be a(-9). Let l(q) = -6*q + u*q + z*q. Let p(r) = -2*r**2. Calculate p(l(h)).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*x**3*z**2 - 1491*x**3*z - x**2*z - 2*x*z**5 + 7*x*z**3 wrt z.\nAnswer: 76*x**3 - 40*x*z**3 + 42*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -53*k**2 - 9054*k + 9107 = 0.\nAnswer: -9107\/53, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*p - 96*p = 32*p - 67*p + 8360 for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**3\/2 - 5*l**2\/2 - l. Suppose -12*s + 12 = -15*s. What is the units digit of m(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c**2 - 4*c**3 + 7*c**2)*(20*c**2 + 22*c**2 - 12*c**2 + (1 - c - 1)*(0*c - 2*c + c)).\nAnswer: -124*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-2) + (-22)\/(-12). Suppose 0 = 24*x - 3 + 51. Which is the nearest to f? (a) x (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 7*t**2 + 4*t - 9. Let o be y(-6). Let w(n) = -10*n + 27*n - o - 8*n. Let d be (-1 + 12\/2)\/(-1). Let v(a) = 5*a - 2. What is d*v(x) + 3*w(x)?\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6849*n*x**3 - 2*x**3 + 46*x - 1 with respect to n.\nAnswer: 6849*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208913 = -24*k + 790649. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 32*m**3 - 9*m**2 - m + 34. Let r(d) = 16*d**3 - 4*d**2 - d + 14. Let v(t) = 3*k(t) - 7*r(t). Calculate v(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-31)\/2)\/(2\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h**3 + 3*h**2 - 3*h - 71. Let r(b) = -30*b**3 + 13*b**2 - 13*b - 284. Give 26*n(l) - 6*r(l).\nAnswer: -2*l**3 - 142","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0871445 * 1.\nAnswer: 0.0871445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 334 divide 5881338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110 + 1100011?\nAnswer: 10011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = r + 3, 6*a = -2*r + 5*a - 10. Let p(h) = 6*h**3 + 7*h**2 - 10*h. Let s(y) = -4*y**3 - 5*y**2 + 7*y. Calculate r*s(v) - 5*p(v).\nAnswer: -2*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v = 11*v - 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5827, -8035, -6617, -1567, 7121, 19453, 35435, 55073?\n\"Answer: h**3 + 1807*h**2 - 7636*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*q = -864*q + 13747 - 11380 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -14?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-1*sqrt(190))\/(sqrt(160) - sqrt(40)))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 2*v + 13, 5*v = -d - 169 + 145 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from jupyppypyuuyp?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3657320 (base 8) to base 16.\nAnswer: -f5ed0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 11 = 40. Let a = o - -34. Let w(v) = 26*v**2 + 7*v - 8. Is w(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofvonovvvvnonvbn. Give prob of picking 1 o and 1 f.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3 (b) -2\/15 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 190919 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 0 - (5 + 0 - -17).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33823, 67642, 101457, 135268, 169075, 202878?\nAnswer: 236677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1675, -6710, -15103, -26854, -41963, -60430, -82255?\nAnswer: -107438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.16893 + 0.194. What is n rounded to three decimal places?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/23663783 and 51\/286?\nAnswer: 47327566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*h = 0. Let y = -92.02 - -94. Let u = -0.02 - y. What is the closest to h in u, -2\/9, -3\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.001, -3, 0.55, 110, -0.9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 + -64. Let g = -38 + 68. Let s be g\/8 + 3\/(-4). Solve -5*k + s = -z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116534 is divided by 29133.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, -14, 27, 4, 5 in descending order.\nAnswer: 27, 5, 4, -14, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23904)\/(-2407) + 1\/((-145)\/(-10)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1524.3 + -1475.3. What is the smallest value in -0.11, t, 4?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**3 - w**2 + 4*w - 4. Let s = 4 + -3. Let u be b(s). Let k = -46 + 52. Solve 12 = -u*n + k*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 8:12 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 580 + -580. Suppose i = -61*o + 72*o - 176. Calculate the remainder when o is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.8, 3, -5, -3, -1.321 in ascending order.\nAnswer: -5, -3, -1.321, -1, 0.8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 310346 < 310531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 1. Let b be t(-2). Solve 4*o - 45 = 5*l, -b*l - 2*o = -2*l - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 524594 and 123018?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i**2. Suppose n - 2*h - 10492 = 0, -3*n + 15*h - 17*h = -31452. Let r(b) = -10486*b - 6*b**2 + n*b. What is w(r(o))?\nAnswer: -216*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1608784, -12870059, -43436380, -102960271, -201094256, -347490859, -551802604?\n\"Answer: -1608754*k**3 + k**2 - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 571421 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(245) - ((1 + sqrt(5) - sqrt(5) - sqrt(5)) + 3) - ((sqrt(605) - (-1 + sqrt(605)))**2 + 0).\nAnswer: -6 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2*l)*(-11 + 15*l - 10 - 18*l) + 3*l**2 - 2*l**2 - 2*l**2 as z + w*l**2 + m*l and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 26. Suppose -y = 4*k - 7*k + 178845, 4*k - 5*y - 238460 = i. Suppose 5*r + k = -35385. Round r to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**9\/15120 + u**8\/8400 + u**7\/2100 + 2*u**3\/3 - 4*u**2. Let y(m) be the first derivative of x(m). Solve y(o) = 0 for o.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26578136509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8\/(-56) + 0 + 691056\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -117, 5 in descending order.\nAnswer: 5, 3, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + m. Let t be l(0). Suppose t = -5*b + w + 131, 0 = b + b - w - 50. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 p when three letters picked without replacement from {p: 2, r: 9}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-2))\/((-33*60\/4620)\/(12\/2)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/163, 1, 0?\nAnswer: -1\/163","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**4\/2 - 69*q**3\/2 - 189*q**2\/2 - 183*q\/2 - 30 = 0.\nAnswer: -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12778 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**3 - 48*o**2 - 2*o + 33. What is x(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 767757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 0*i - 2*i**2 + 1\/3*i**3 + 0 + 1\/24*i**4. Let u be -8 - 3\/(12\/(-16)). What is k(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14 + 648\/756*((-68)\/(-6) - 2). Solve p*u - 468 = -56*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**5\/60 + 3*c**4\/8 + 4*c**3\/3 - 25*c**2\/2 + c. Let l(o) be the first derivative of r(o). Factor l(z).\nAnswer: (z + 1)*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from ucnvcvr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7807057 and 69089.\nAnswer: 7807057","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 41084 - (10\/(-15) + (-2)\/(-3)). Suppose -f = -w + 7*v - 4*v, -3*v - 164291 = -4*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1176)\/(-49) + -3 + (-177)\/9.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26487\/(-1377) - (-7 - (-1035)\/153)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 497\/1470 + (-6)\/(-14). Let t = n + -1\/10. Which is the second biggest value? (a) -2 (b) 0 (c) 1\/4 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yznyznrnrznnnnnn. Give prob of picking 2 z.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -30\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -20*s - 5. Let n be z(-2). Let i = n + -40. Let w(g) = g - 1. Let r(l) = 4*l - 3. Let u(f) = r(f) - 3*w(f). Determine u(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -836 or -9?\nAnswer: -836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in -0.53, -2, -20\/619?\nAnswer: -20\/619","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-10)*-4 - 4\/((-52)\/26). Sort 1\/2, 0.2, -0.14, -1\/8, q.\nAnswer: -0.14, -1\/8, 0.2, q, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591*j + 203388 = -5391*j for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 0 + 0*w**5 + 0*w**2 + 0*w**4 - 5\/2*w**3 - 31*w + 16\/15*w**6. Find the second derivative of m(z) wrt z.\nAnswer: 384*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 586160.1 minutes?\nAnswer: 35169606000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 39850428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-19\/5)\/(k*k**6)*k**(1\/6)\/(k**(-3\/4)*k))**(3\/52) assuming k is positive.\nAnswer: k**(-653\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -225 + 201. Let n be (-11)\/(88\/l)*28\/3. What is the highest common factor of n and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/(sqrt(12)\/sqrt(3)) - 1*(sqrt(14) + sqrt(42)\/sqrt(3)))*6)\/(-2*2*(sqrt(448) + 1*sqrt(448) - sqrt(448))).\nAnswer: 3*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36552427, 73104857, 109657287, 146209717?\nAnswer: 182762147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/261?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6403*o**2 + 3971*o - 22940408?\nAnswer: -12806*o + 3971","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-150)\/(-18)*9\/5. Let k be (78\/w - 2)\/(14\/35). Solve 6*o = k*o - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35789054?\nAnswer: 2, 7, 79, 32359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 200 + -189. Solve 0 = -l - 2*x - o, l = x - 6*x - 23 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**4\/32 - d**3\/4 - 3*d**2\/4 + 15*d. What is j in c(j) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 445*t**2 - 117*t**2 + 97*t**2 + 73*t**2 + 193*t**2 in the form h*t + y + b*t**2 and give b.\nAnswer: 691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*y + 562, 4*y = 3*o - 757 + 179. Let a = y - -168. What is the remainder when 28 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence de when two letters picked without replacement from eeeddezdmdzee?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -5\/6, 0.5, 0, 4, -0.3, 2\/333, 227?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19200 and 212923200.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert b32 (base 14) to base 8.\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 1. Let o be b(1). Let l be 26\/91 - o\/7. Suppose 5*t + x = 96, 2*t + l*t = 3*x + 35. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-68)\/(-102) - (1 + 588\/(-9)). Suppose -5*w - h + 45 = 0. Put 1, w, 2, 0 in decreasing order.\nAnswer: 2, 1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from wwoooooooowooowoooo.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 + 124. Suppose k = 4*l - 49. Calculate the remainder when 160\/2 + (2 - 3) is divided by l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 13*u**2 + 39*u - 233. Let v be n(12). Calculate the highest common factor of v and 441.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2575 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -4\/5, -2, -5, -2032?\nAnswer: -2032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - 36820\/(-2450)) + (-2031)\/35?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -3, -0.5, 2, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.107, 2\/13, -2\/9, 0.2, -2\/7 in ascending order.\nAnswer: -2\/7, -2\/9, -0.107, 2\/13, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13619 (base 12) in base 3?\nAnswer: -1100202210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007998969 rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/95 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 5, 315 in ascending order.\nAnswer: 0, 4, 5, 315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/45*15 - -3. Let l = -19.2 - -18. Let n = -1.6 - l. Sort q, n, -3 in descending order.\nAnswer: q, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from scsshgsh. Give prob of sequence ghhs.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30717828259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3478268 and 12?\nAnswer: 10434804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**5)\/q**2*(q**2\/q)**(35\/2) assuming q is positive.\nAnswer: q**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 375 or 373?\nAnswer: 375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2089 - 2084. Solve c*n + j = 3, -n + 10*j - 12*j = -6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 - (24 + -14 + 6 + 24)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 3:25 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -34*y**2 - 7*y - 7. Let g(x) = -11*x**2 - 2*x - 2. Determine -6*f(j) + 21*g(j).\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*y - 2 - 2 = 0, 0 = 3*i + 3*y - 30. Let k(m) = m**3 - 6*m**2 - m + 6. Let h be k(i). Solve h = -n - 7 + 2, -3*n - 27 = 4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 66, 73, 80, 87?\n\"Answer: 7*x + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -48*f**2 - 27. Let j(y) = -7*y**2 - 4. Let z(i) = -27*j(i) + 4*v(i). Let r(l) be the second derivative of -7*l**3\/3 + 21141*l. Determine r(z(a)).\nAnswer: 42*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*j = -22786, -1281 - 10112 = -n + 2*j. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 7*r**6\/360 - r**5\/40 + r**4\/4 + 2*r**2. Let t(b) be the second derivative of s(b). Find the first derivative of t(c) wrt c.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -13\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29157614.\nAnswer: 2, 14578807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 69 = 275. Suppose x = q + 15. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -351 (c) 6\/79 (d) 3\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -14*s**2 + 1098*s + 632. What is g(79)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 7*m**3 + 40*m**2 - 28*m + 7. Let p(h) = 7*h**3 + 41*h**2 - 19*h + 8. Calculate 3*p(s) - 2*v(s).\nAnswer: 7*s**3 + 43*s**2 - s + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, j: 1, w: 1, u: 1, e: 2, z: 1}. What is prob of sequence wu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/3, -19025212.\nAnswer: -19025212, -2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -0.07246248?\nAnswer: 0.28984992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 3*k**2 - 2*k - 4. Let n be h(-3). Let u(z) = -21*z + z**3 + 3 - 5*z**n + z**2 + 2. Let c be u(7). Solve 2*v = c*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.510377844 to 5 decimal places.\nAnswer: 0.51038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16079258*r**3 + 12878988*r**3 + 16717406*r**3.\nAnswer: 45675652*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -1244429?\nAnswer: -1244430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = 187 - 151. What is the remainder when 152 is divided by q\/24 + 3\/((-12)\/(-205))?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((0\/(11 - 0))\/1)\/(-7). Which is smaller: 13\/562 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -10*g**2 - 6 - 3*g - 1 - 7*g - g**3. Let r be j(-9). What is the third derivative of 8*b**2 + 20*b**3 - 13*b**r - b**2 + 8*b**2 wrt b?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 111, 217, 335, 471, 631, 821?\n\"Answer: h**3 + 99*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 1625190.\nAnswer: 13001520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.3, 3, 1\/4, -0.21865 in decreasing order.\nAnswer: 4, 3, 1\/4, -0.21865, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -1\/20*q**5 + 0*q + 4*q**3 - 7\/8*q**4 + 0 + 16*q**2. Factor y(d).\nAnswer: -3*(d - 1)*(d + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 1. Let h(j) = 246*j**2 - 205. Let p(n) = h(n) + 205*l(n). Let g(r) be the second derivative of r**4\/6 + 4748*r. Determine g(p(c)).\nAnswer: 3362*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/140 - (-1808)\/6720*-3)\/((-3)\/124)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**4\/4 - 3*n**3 - 9*n**2\/2 - 11*n + 72. Calculate u(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = 3*x + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(208) + -2*(-1 + sqrt(208)).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) -3203\/3 (c) 4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -73?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 425 in -3\/7, 1\/20, 825\/17?\nAnswer: 825\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.044 + 0.036. Let z = 21 + -62\/3. Which is the second smallest value? (a) l (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/102882 and 91\/7986.\nAnswer: 136935942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 - 90*k**3 + 100*k**2 + 90*k - 95.\nAnswer: -5*(k - 1)**2*(k + 1)*(k + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h - 5. Give j(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s**(8\/3)\/s)\/s)**(-16\/7) assuming s is positive.\nAnswer: s**(-80\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwlbwbwlbbblbw. What is prob of picking 3 w?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 23 = 2*w. What is the remainder when w is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + -39. Suppose v - 17 = -4*f, -5*f - b*v = -30 + 8. Suppose f*o = -3*o + 427. What are the prime factors of o?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*6\/27)\/2.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + 4*(sqrt(77) + (1*sqrt(77) - sqrt(77)) + sqrt(77)))\/sqrt(11) + 4)**2.\nAnswer: 72*sqrt(7) + 583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26161695 by 69.\nAnswer: 379155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1029*c - 1504*c + 562*c in the form z*c + w and give z.\nAnswer: -1971","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 30?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*l + 10, 0*i + i + 15 = 3*l. Suppose i = -w + 5*v + 28, -5*v = 2*w - 36 - 65. What are the prime factors of w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 1632167400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from ayyel?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s + 32. Let y be g(11). Let t(c) = 613*c**2 - c + 1. Does 41 divide t(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -110*h. Let j be q(-4). Suppose -j = 5*u - u. Let t = 155 + u. Calculate the greatest common divisor of 30 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**2\/2 + 4. Let a(u) = 6*u**2 + 4*u + 4. Let h(c) = 5*c**2 + 3*c + 3. Let f(w) = -3*a(w) + 4*h(w). Give j(f(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -47241 take away 93074?\nAnswer: -140315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 483 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.12555207 - -4\nAnswer: 3.87444793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-62)\/(-3)*(-8385)\/(-130). Let a = 850 - 3763. Let g = t + a. Round g to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2. Let j(a) = 3*a - 4*a + 0*a - 9 + 0. Let i(k) = 4*j(k) + 18*z(k). Let d(c) = -c + c + c**2. Give d(i(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -9702*a - 194005. What is p(-20)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/27 of a day in seconds?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23\/794 - -5103\/25408. Let q = 772219\/48 - 16087. Find the common denominator of q and k.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15652 + -15616. Suppose -2*c + 95 + 59 = 0. Calculate the remainder when c is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffyfff. What is prob of sequence yf?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 4*p - 1. Let u(j) = j**3 - 10*j**2 + 3*j + 9. Let o be u(10). Let s = -42 + o. Give m(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 361276 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-4\/5))\/m*m**(-6\/11)*((m**(-1)*m)\/m)\/m*m**7)\/((m**2)**(-17)\/(m**(-1))**1) assuming m is positive.\nAnswer: m**(2104\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-17)\/(-1 - 0))\/(-1). Let y(r) = 3*r**3 - 152*r**2 + 100*r - 19. Let q be y(50). Is v less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -489782.67 rounded to the nearest 1000?\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 26 = -4*q, -2*j + 5*j - 3 = 0. Let d = q + 8. Suppose -5*t + d*m - 186607 = -6603, -6 = -3*m. Round t to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115.2 + 114.7. Which is the biggest value? (a) -7\/2 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 - 10*p - 87. Calculate the remainder when y(-8) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -647*a**3 + 835*a**5 - 2529*a**5 + 190*a**4 - 103*a**3 + 842*a**5 + 210 + 837*a**5 + 1200*a**2 - 835*a = 0.\nAnswer: 2\/3, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 3*f + 480. Let u = f + -23. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/3))**19)**26 assuming z is positive.\nAnswer: z**(-494\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 10*b = 6*b + 29, -4*s - b = -17. Suppose 0 - 4 = -2*g. Solve -s = g*m - 3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 165\/10*4\/3. What is the highest common divisor of i and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 32\/5 of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0 - 5 = 0. Let s be (-3)\/(n - 2\/(-1)). Let o(g) = -4*g - 2. Calculate o(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1918 and 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4\/2 + 1511457*y**3\/2 + 3022905*y**2\/2 + 1511451*y\/2.\nAnswer: 3*y*(y + 1)**2*(y + 503817)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2061865179.78 take away 0.3?\nAnswer: 2061865179.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 425348, 850698, 1276044, 1701386, 2126724, 2552058, 2977388?\nAnswer: 3402714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 4*h - 9 - 74, -h = -28*w + 20*w + 13 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 0.3, -0.339, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 b, and 1 a when four letters picked without replacement from aebbtzbaabaaaatbbta?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.55. Let i = f - -0.05. Let p = -0.4 - i. What is the closest to p in 0.5, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/2)\/((-3)\/(-212)*-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10*(-4 - 166\/(-4)). Suppose 4*c - 5*x - l = -2*x, -5*c + 465 = -3*x. Does 30 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 149*d*f*i - 3*d*f - 9*d*i + 3*d*l + 15*f*i*l - 95*f*i - 12*l wrt d.\nAnswer: 149*f*i - 3*f - 9*i + 3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - 3*c + 0*c + (-2*c + 0*c + c)*(-4 + 0 - 3) + (0*c + 2*c - c)*((-5 + 5 - 1)*(5 - 1 - 3) - 1 + 5 - 5).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/63*(-77)\/(-88).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by -54.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1152 and 1044?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*j + 2208312 = 282*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*2)\/(2*(-1)\/(-27)). Let x be (-126)\/j*(-3)\/2*2. Let r = x - 69\/5. What is the nearest to 1 in 5\/3, 2\/15, r?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = z - 170, 4*z + 274 - 1044 = -2*r. Let q = z - 188. Solve q*i + 3*i - 5 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 77. What is the greatest common divisor of 205 and r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4496, -9018, -13534, -18044, -22548, -27046?\n\"Answer: 3*l**2 - 4531*l + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13.33 + -13.03. Sort -0.5, -0.4, b, 0.096 in ascending order.\nAnswer: -0.5, -0.4, 0.096, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**5\/20 - 7*j**4\/12 - 31*j**2\/2 - 24*j. Calculate the remainder when d(9) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*y**2 + 10\/3*y - 4\/3 + 2\/3*y**3.\nAnswer: 2*(y - 2)*(y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -178*u + 6. Let g be (-3)\/(2 + (6 - 7)). What are the prime factors of c(g)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i + 28. Let g be m(-13). Let r(q) = -46*q**2 + 146*q**g - 44*q**2 - 47*q**2. Let n(b) = b**2. What is r(n(s))?\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 10*y**2 - 2*y + 1. Let a be i(1). Let d(h) = 16*h + 454. Let z be d(-28). Calculate the highest common divisor of z and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5125130 - 41?\nAnswer: -5125211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1650 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*v + 2698178 = 0, 888*z - 1798827 = 886*z + 5*v. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -312 or -310?\nAnswer: -310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 154 - 156. Let j(m) = -m**3 - 2*m**2 - 2*m - 3. Let d(t) = -t**3 - t**2 - t - 2. Calculate z*j(w) + 3*d(w).\nAnswer: -w**3 + w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 105760*k**3 + 2*k + 127397 wrt k.\nAnswer: 317280*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 + 6*n**2 + 5*n**2 + 2 + 27*n**2.\nAnswer: 34*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -6. Let i = -23 - x. Let v(z) = 5*z**2 + 5*z + 1 + 2*z**2 - 4 - i*z**2. Give v(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.3 + 10.7. What is i rounded to 1 decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3780.702 to the nearest 10.\nAnswer: -3780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 3*h**2 - 2*h - 13. Calculate the remainder when f(7) is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1039862*k - 745532*k + 50567*k.\nAnswer: -1734827*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 222, 334, 446, 558?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (40 + -6 + -20).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2887*p**4 - p**3 - 4282*p**2 - p.\nAnswer: -69288*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 + 67. Suppose o - 3261 = f*s, -3*s - 5*o - 1071 = -2*s. Let b = s - -1973. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4497510.66 to the nearest 10000.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 513 divide 36227501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(10)\/sqrt(20))*-5)**2*-5.\nAnswer: -125\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 176263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10608 is divided by 771.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 10*r**3 - 3*r**2 - 3. Let b(o) = 5*o**3 - o**2 - 1. Give 7*b(w) - 3*s(w).\nAnswer: 5*w**3 + 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 9\/3) + 8. Suppose m + 70 = f*m. Let c = 36 - m. What is the highest common divisor of c and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 33. Determine o(-6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*a - 3*l - 1840, 0 = -4*a - 3*l + 3698. Suppose 569 = 4*y - a. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 1 + 28*i + 4 + 2 in the form q + v*i and give v.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 30*a - 151. Let x be w(-23). Solve x*o - 5*o + 10 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -4.5.\nAnswer: 22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2808 and 889668.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1383 + -1386. What is the closest to -4 in m, 8\/9, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.015692 decades?\nAnswer: 10.15692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -586*m**2 + 764*m**3 + 586*m**2.\nAnswer: 764*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 3*i - 218. Let g = -98 + i. What is the smallest common multiple of g\/((-93)\/30 - -3) and 6?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9 - (-4 - 1 - -1). Let g = 39 + q. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 14. Suppose 0 = 9*f - 14*f + c. Suppose s = -3*s + 8. Solve f*x + 6*l + 24 = l, s = x - l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from uckgfcf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.44 * -9.629.\nAnswer: 23.49476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 5*i + 4. Let w be y(6). Is (1\/2)\/(w\/(-104)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*r**3 + 2)*((0*r - 5*r + 9*r)*(-2*r - 2*r + 3*r) + (-5 + 5 - 5*r**2)*(-5 + 0 + 3) + 0*r + 0*r + r**2) + 0 + 0 + 2*r**5.\nAnswer: 16*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 23 = 16 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 15*u + 2. Let c be q(15). Solve -3*k - c*k = 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 343198061, 343198062, 343198063, 343198064, 343198065, 343198066?\n\"Answer: w + 343198060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -31.9 and -23.5658.\nAnswer: -55.4658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111 divided by -11177.\nAnswer: 111\/11177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 2*x - 1. Let a be i(3). Let j(d) be the second derivative of -d**5\/20 + d**4\/4 - d**3\/3 + d**2 - 119144*d. Calculate j(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = -37*p + 339. Suppose 0*n**2 + 6\/5*n**3 - 2\/5*n**p + 0*n - 4\/5*n**4 + 0 = 0. What is n?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*d + r + 20, -23 = -2*d + 3*r. Let u(q) = q**2 + 96. Calculate the remainder when u(0) is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**8\/672 + q**7\/420 + 10*q**2. Factor i(c).\nAnswer: -c**4*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -4, 13.\nAnswer: -4, -3, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -311*h**3 - 399*h**3 + 2159*h**3 + 5 - 28*h + 940*h**3 wrt h?\nAnswer: 14334*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r**5 - 4*r**5 + 0*r**5 + (2*r**3 + 0*r + 0*r)*(-2*r - 3*r + 3*r)*(-4*r + 2*r + r + 4*r - 2*r - r + 0*r - r + 2*r + (-4 + 3 + 2)*(2*r - 2 + 2)).\nAnswer: -11*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454 = -7*h + 1637. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.44 in 0, -0.4, -165, 6, 4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m + 3. Let u = -12 - -11. Let v be (16\/2)\/(-4) + u. Calculate q(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*(sqrt(1539) - sqrt(1539)*-2) + sqrt(1539) - sqrt(1539)).\nAnswer: -108*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -1598, 0, 15, 2 in ascending order.\nAnswer: -1598, -3, 0, 2, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 - 3)*(721*s**2 - 243*s**4 + 806*s**2 + 241*s**4) to the form j*s**2 + a*s**4 + b*s + u + k*s**3 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20719189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 17\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-1\/13)*m**(-2\/41)*(m\/m**(-3\/13))\/(m**0*m) assuming m is positive.\nAnswer: m**(589\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 271231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 40, 74, 106, 136, 164?\n\"Answer: -u**2 + 37*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6178*n**2*p**2*y**3 + 183*n**2*p**2 + 2*n*p*y**2 - 475*n*y**3 - 2*p**2*y**3 + 40*p**2*y + 16*p**2 wrt n?\nAnswer: 12356*p**2*y**3 + 366*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174598770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/6*(-243)\/(-405). Let b(m) = 35*m**2 + 0*m + m + 2*m - 12. What are the prime factors of b(d)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1800240 divided by 37505?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/(89\/1335)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 942801 and 942904 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 - 7*n**2 - 7*n + 8. Let i(f) = -f**3 + 4*f**2 + 3*f - 4. Let t(l) = 2*c(l) + 5*i(l). Let x(p) = -p**2. Let y(m) = t(m) + 5*x(m). What is y(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**5 + 604*f**4 + 6377*f**3 + 27485141*f**2?\nAnswer: -60*f**2 + 14496*f + 38262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/7268880 and -91\/2728?\nAnswer: 79957680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 180149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 175 and 77?\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 921 = 123*r - 186 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*z + 78*z + 56*z + 930*z + 49*z to the form o + a*z and give a.\nAnswer: 1196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153\/969*319884\/(-828).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -411514 and -1529.\nAnswer: -413043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87700843 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 31*v**2 - 29*v + 50. Let w be t(-30). Solve -3*l + 7*l + w = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-598)\/52)\/(11\/((-220)\/(-20)))?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, g: 3, c: 4}. What is prob of sequence ggcg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7782, 7971, 8160, 8349?\nAnswer: 8538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w - 28 = 24*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0299 to 3 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - ((-30 - -13) + 17)) + (23 - 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzp when three letters picked without replacement from {c: 1, p: 1, z: 1, r: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 290674?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 582275.4 tonnes?\nAnswer: 582275400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((0 - 14) + -4 + 7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/(-40))\/((-328)\/(-205)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -y - 1. Find d such that 2*d**2 - 4 + 2*d**4 - d**4 - 3*d**3 + y*d + 2 - d**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -50*i - 1. Let h = -4 - -1. Let a be h\/1*(4\/(-2))\/(-2). What are the prime factors of w(a)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (0 - (15 - (-7 + 9)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2732*d + 171340 = 1295*d - 506*d - 311037 for d.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 9) to base 11\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*p + 130*p + 51*p + 85*p - 4*p + 64*p.\nAnswer: 393*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -74123, -74124, -74125, -74126?\n\"Answer: -d - 74122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 8*d + 33 = -11*d, 5*t + d - 49 = 0. Suppose -3000 - 4660 = -t*g. List the prime factors of g.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -896 to the nearest ten.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 3 - 3)*(-1 - 1 + 3) - 2 + 2*b + 2 - b - 2*b - 4*b + (-4 - 1 + 1)*(-4*b + b + 2*b) - b + 2*b + b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 1 + 29 = 0. What is the remainder when 19 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.1, 153\/11 in decreasing order.\nAnswer: 153\/11, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + ((5 + sqrt(68) + -5)*1 - -4*(sqrt(68) + 5 + sqrt(68))*-3)**2.\nAnswer: 5520*sqrt(17) + 39576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2160))\/sqrt(5).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33936\/36)\/101 + (-2)\/12 + (-41)\/6.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -266167.35 rounded to the nearest 1000?\nAnswer: -266000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) -0.3 (c) 43 (d) 21 (e) 0 (f) 2\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11363 (b) 0.1 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*q = -310, 5*q = -5*w + q - 775. Let b = 157 + w. Solve 4*n + b = -2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103400 (base 5) to base 2.\nAnswer: 111000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r - 9*r - 8*r - 125*r**3.\nAnswer: -125*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1226*t**2 - 2389*t + 7. Determine q(2).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 11. Let a be z(8). Suppose -14 = -a*d - 2. What is the third derivative of 18*l**2 + 2*l**4 - 3*l**2 - 10*l**d - l**4 wrt l?\nAnswer: -216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6502, 13004, 19506?\n\"Answer: 6502*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 9*p**2 - 8*p - 6. Let l be v(10). Let t = l + -1. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 201 (c) 17 (d) -333\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223519236?\nAnswer: 2, 3, 67, 317, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -15. Suppose -o - 22 = -n*o. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + -11 + (-78 - 2) + (478 - 451).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 5*u + 0*u**2 - 5\/54*u**4 + 2\/45*u**5 - 1\/135*u**6 + 2\/27*u**3 + 0. Factor o(s).\nAnswer: -2*s*(s - 2)*(s - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**5\/60 - w**4\/6 - w**3\/3 - 7*w**2. Let c be (-14)\/3 - 1\/3. Give p(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 132\/119 + -14\/17. Let h = 9312 + -9320. Which is the nearest to h? (a) 2\/11 (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5599460 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 426685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 + 0 + -3 + -9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a. Let x(o) be the second derivative of -o**3\/6 + o**2 + o. Let t(w) = -4*w - 4 + 10 + 2 - 1. Let f(s) = 2*t(s) - 7*x(s). What is k(f(z))?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 2*w, -2*w - 4 = n - 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -620568 divided by -72?\nAnswer: 8619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 2*f. Suppose f = -0*w - w + 5. Calculate the remainder when 12 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2335*v**3 - 6*v + 9*v**2 + 2314*v**3 + 5*v + 5 - 4638*v**3. Let z(p) = -5*p**3 - 4*p**2 + p - 2. Give -2*m(u) - 5*z(u).\nAnswer: 3*u**3 + 2*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 92333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -173*i**4\/4 + 11*i**3\/3 + 15*i**2\/2 - 50*i + 87. Let w be j(10). What is w rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126 - 2*v - 67 - 2*v - 59.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*20\/(-45) - (-3740)\/99.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 100 = 5*x, -x + 611*t - 610*t = 9 - 37 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7105 divide 228757175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 816*c**3 - 413*c**3 - 463*c**3 + 101*c**2 + 97*c**2 - 198*c**2.\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**4*g**3 + 3*a**4 - a**2*g**2 - 2*a*g**3 - 45*a*g wrt a?\nAnswer: -120*a*g**3 + 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 2 - (-5)\/(-4). Let t = -857\/3800 + 3\/200. Let y = t + -7\/57. What is the second smallest value in w, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 2*l + 1. What is the tens digit of g(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8203936, -16407868, -24611798, -32815726?\nAnswer: -41019652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 0, -0.03, 3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzx when three letters picked without replacement from {x: 9, z: 11}.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lcl when three letters picked without replacement from llulckkclc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 144 - 118. What is the highest common factor of 143 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -72*i + 4222. Is 18 a factor of y(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r + 6 = 0. Suppose 0 = r*n + b + 16, -4*n - 5*b - 44 = -0*n. Are n and -6 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4470479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w. Let n(o) = 2*o + 19 - 1 + 8. Calculate q(n(i)).\nAnswer: -2*i - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 5*w**2 - w**2)*(-51 - 42 - 162) + 2*w**2 - 2*w**2 - 2*w**2 + (-4 + 3 + 3)*(2 - 2 + 2*w**2) + w**2 + 3*w**2 - 3*w**2.\nAnswer: -252*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*s = -0*s + 32, 5*b = 2*s + 12. Suppose -5*i + b*i + 13 = 0. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, -2, 12, 5 in decreasing order.\nAnswer: 12, 7, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23929535?\nAnswer: 5, 7, 683701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -279.6 to the nearest 10.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (116\/(-12))\/((-1)\/(-3)). Let w = 33 + g. Solve -5*l = -5*i - 10, 3*i + w*l = 2*i + 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/16)\/(16\/128).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 763*i - 3871. What is n(5)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -167101 - 5?\nAnswer: -167106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052352 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h + h**2 + 8*h**2 - 2*h + 3*h in the form f*h**2 + d + r*h and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26697.93ml in litres?\nAnswer: 26.69793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -282*w - 228*w + 2*w**2 + 454*w to k*w**2 + v + g*w and give g.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-6)\/27 - 3\/((-54)\/400) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2 - -20315280.\nAnswer: 20315281.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 360*u - 5677. Give x(-15).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -10*a - 824. Give r(-86).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 1:28 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 2243?\nAnswer: -2246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 - 7*l**2 - 17*l + 29. Calculate m(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1240 = 129*f - 0*f + 79 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + k - 335 = 0, 0*b - 2*b = k - 223. Suppose -5*r - b = 38. Let g = 34 + r. Solve -g*l - 6 = 5*u, 0 = -3*u - 5*l - 9 - 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 3*r - 25. Let u be p(-7). Suppose 3*g + 5 = 2*g. Let o = -1 - g. Which is bigger: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324 - 1362 - 1839 = 169*w + 3038 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5508703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7028264 or 7028267?\nAnswer: 7028267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100.797741 - -0.039741. Let n = -0.242 + i. Let k = -101.103 - n. Round k to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a - 4*a + a + 5*a. Let p(s) = -5*s. Let o(u) be the second derivative of -u**3\/6 - 7*u. Let k(i) = 15*o(i) - 4*p(i). Determine k(j(w)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -8*i**2 + 4*i + 10. Let j(y) = 7*y**2 - 3*y - 9. Let k(a) = 6*c(a) + 7*j(a). Let b be k(4). Let l = 72 - b. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = h + 10. Find b such that -8\/3 - 2\/3*b**h + 8\/3*b = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**8\/6720 - w**7\/630 - w**6\/180 - w**5\/20 - w**4\/12 + 2*w**2. Let r(f) be the second derivative of b(f). What is r(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -3*l + 52. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1241960568?\nAnswer: 2, 3, 17, 3044021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 - 17 + 14)*(2 + 2 - 5)*(-3*y**3 + 2*y**3 + 2*y**3).\nAnswer: 56*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1659*k**4 - 425*k - 3949109 wrt k?\nAnswer: 6636*k**3 - 425","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**2*q**2*w + 4*l**2*q*w**2 - 30*l**2*w**3 - 8579*l*q**2*w**2 - 2*l*w**3 - 129*q**2*w**3 wrt w.\nAnswer: -180*l**2 - 12*l - 774*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.15 at most as big as 2\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -104*x + 9*x**2 + 0 - 7\/8*x**4 - x**3 - 3\/40*x**5. Factor b(c).\nAnswer: -3*(c - 1)*(c + 2)*(c + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**7\/168 + 5*w**4\/24 + w**3\/6 - w. Let l(x) be the second derivative of d(x). What is the derivative of l(b) wrt b?\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -8*t**5\/3 + 1378*t**4\/3 - 3040*t**3\/3 - 3406*t**2\/3 + 340*t = 0.\nAnswer: -1, 0, 1\/4, 3, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -5) + 1 - (3 - -16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238*1220121.\nAnswer: 290388798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -15. Let q be a\/(-78) + (-1556)\/(-26). Suppose -q = -4*i - 5*z, -2*i + 3*z = -3*i + 22. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 20144*o - 20148. Calculate h(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, j: 1, x: 5, l: 3}. Give prob of sequence xlxl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22639 and 1.\nAnswer: 22639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*w + 513148 = -760254. Suppose w = -91*x + 104*x. What are the prime factors of x?\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2750392 is divided by 2523.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4 + 12*w**3 - 64*w.\nAnswer: -2*w*(w - 4)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*z + 0*z**2 + z**2 - 165*z + 281*z.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-2) - (1 - 7). Let p = -270 - -266. Let y(j) = -j**2 - 7*j + 5. Let l be y(-8). Sort p, l, a, 0.\nAnswer: p, l, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.3, -22, -0.08 in increasing order.\nAnswer: -22, -0.1, -0.08, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.02 and 37.456.\nAnswer: -262.94112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 10 = d. Suppose 0*z + 3*a = -4*z - d, 3*z = 3*a - 15. Let r be z - -3 - 6 - -2. Which is smaller: -7 or r?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 21\/(-12))\/(284315\/1212 + -233)?\nAnswer: -9\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2232 in -9, 0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 20 = 8*i. Suppose 0 = -v - d - 0 - 1, -i*d = v + 5. Suppose v = 2*n - 5*h + 2120, -1204 = 3*n - 2*h + 1976. Round n to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 1 + -1 + 1. Let k = 12 + t. Let o(g) = g**2 + 11*g - 10. Let r be o(-15). What is the greatest common factor of k and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 106283548?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 1 = x. Suppose -s = -0 - 2. Suppose 2*f + 4 = 5*k, s*k - 3*f = -2 - 3. Sort 1\/3, x, k in descending order.\nAnswer: k, x, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(304) - 3*(sqrt(95)\/sqrt(5) + sqrt(19)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 45 = 5. Let x(y) = -12*y - 16. Calculate the remainder when x(k) is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184905179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 595 by 119.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 - -66. Let a(n) = n + 8. Let l(w) = 5*w + 26. Let d(z) = p*a(z) - 2*l(z). Let t(c) = -3*c + 5. Determine -3*d(j) + 2*t(j).\nAnswer: 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w + w)*(-1677 + 162 - 3762 - 2357).\nAnswer: 7634*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240) + (sqrt(240) + 3*sqrt(240)*-1 - sqrt(240)))\/(sqrt(8) - (sqrt(40)*1 - sqrt(40))\/sqrt(5)))\/(-1*-2*sqrt(810)*-1))**2.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-10)*5*(-2)\/4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 6*b - 11*b - 15, -b = 4*s + 12. Suppose i - 20 = -i. Let m be 1 + i\/s + 2\/6. Let z(x) = -6*x**2 - x - 2. Give z(m).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7*2*16\/(-56) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -3*f**3 - 2*f + 9. What is the derivative of l(z) wrt z?\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5126 + 35?\nAnswer: -5061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 + -6097?\nAnswer: -6077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/(-12))\/5)\/(24\/672)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(0*z + 3*z + 0*z)*(-2 - 1 + 15 + (1 + 3 - 2)*(8 - 18 + 8)).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2372793*k**3 + 45370*k**2 + 32*k = 0.\nAnswer: -16\/23493, 0, 2\/101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(2448) + 2.\nAnswer: 2 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -0.01588?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1067 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 8. Suppose 0 = 2*w + 5*j - 21, -w + 0*j + d = -j. Is (2\/(-3))\/(w\/(-948)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 15 - 3. Let j be c\/(-9)*(-3)\/18. Let b be 4\/5*(-15)\/3. Sort b, 1\/5, j in descending order.\nAnswer: 1\/5, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154899589973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35879 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/536 and -40\/6633.\nAnswer: 53064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 + 33*l**2 + 29*l - 127. Give r(-15).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -205*c**2 - 9*c + 38. Let a(k) = 51*k**2 + 2*k - 9. Let p(t) = -9*a(t) - 2*y(t). Differentiate p(j) wrt j.\nAnswer: -98*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 3:23 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -20*x + 33. Solve -2*c - x = -5*c - s, -5*c = s - 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8232 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + n - 5 = 0, 0 = 2*y + 3*n - 6 - 9. Suppose y = g - 295 + 2. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 593225?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000022795 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - 6) + (-4)\/(-2). Which is smaller: 6\/13 or v?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -84*l - 848. Let z be h(-10). Let s(q) = q**3 + 8*q**2 - q + 7. What is s(z)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 19148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/63)\/((-84)\/28)*8\/(24\/609)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 0.1077385108\nAnswer: -0.2922614892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*-8*(-4)\/8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -26*k**2 - 53*k - 150. Give x(-3).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15104 and 6372?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2802 + 2807. Solve 7*i = -q*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -9 + 30 - t - 12 - 6 + t**2 - 5. Let m(u) = -6*u**2 + 6*u + 7. Let p(k) = -7*k**2 + 7*k + 7. Let d(w) = -4*m(w) + 3*p(w). Calculate 2*d(y) - 7*n(y).\nAnswer: -y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -259*t**4 + 4*t - 29.\nAnswer: -3108*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -64 in -0.5, 0.147, 3\/16, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 4*m + 108, -2*p + 5*m - 12 = -61. Calculate the remainder when 59 is divided by p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, h: 1, l: 1, n: 3}. Give prob of picking 2 q and 2 n.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1214 + -1212.75. What is the second smallest value in o, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.62 - -0.32. Let x = 1.299982 + m. What is x rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35\/179 + 1633\/11098. Is i at least as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-9)\/120)\/(6*(-6)\/752) and -69\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -73 from 68042555163.\nAnswer: 68042555236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60 + 65. Suppose 2*j - y*h - 60 = -3*j, h = 2. What is the smallest common multiple of j and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/21)*c*c**(-6))\/(c*c**(2\/11))**(-7\/9) assuming c is positive.\nAnswer: c**(-2762\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5727 and 1104?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/74, 0.2, 0, 3, -3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170\/45 - (-4)\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*q - 149*q - 48548 = -1194*q for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -40, -2, -5, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*z + 18 = 0, o - 1 = -3*z - 2. Let h = o + 6. What is the first derivative of -y**4 + 0*y**4 + h*y**4 + 2 wrt y?\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -8*l - 72. Calculate y(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**2 + 36*z + z**2 + 1 + 22*z + 28*z**3 + z**2 - 57*z as q*z + w*z**2 + h*z**3 + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98996336 is divided by 233.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -28. Suppose 211 = j*u + 73. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 7*f**3\/3 - 9*f**2\/2 - 111*f. Let t(z) = -5*z + 3. Let b(a) = -3*m(a) - 8*t(a). Suppose -6 = -r + 1. What is b(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8306370 or -8306374?\nAnswer: -8306370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 5 + 2)*(-31*j**3 + 9*j**5 + 31*j**3).\nAnswer: 117*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 18*d**3 + d**2 - d - 2. Let w = 3 + -2. Let z be f(w). What is z rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*s + 4 = 0, 3*w + 4*s + 19 = -9. Let l = w + 9. Suppose l = 3*m - 4. Solve 0 = -0*t - t + m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 3*j = 40. Suppose 0 = -3*u + 2 - 11. Calculate the lowest common multiple of j and -5*(-66)\/(-45)*u.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 - 3. Let y(a) be the first derivative of -a**4\/2 - a**2\/2 - 4*a + 7. What is -4*i(f) + 3*y(f)?\nAnswer: 2*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 6\/(-40))*(-4176)\/(-1566). Factor 0 - 4\/5*j**2 + 2\/5*j + q*j**3.\nAnswer: 2*j*(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**5 - 625*q**4 + 3235*q**3 - 1975*q**2 - 3230*q + 2600 = 0 for q.\nAnswer: -130, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 702 and 18603.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15613 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(-1)\/12 - -1. Let j = 620\/3 + -206. Factor 2\/3 - i*k + j*k**2.\nAnswer: 2*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 8\/3*j**2 - 2\/3*j - 6 - 32\/9*j**3. Solve r(u) = 0.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, p: 6, j: 2, x: 1}. What is prob of picking 1 j and 1 p?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 31. Let p(g) = -10. Give -7*p(w) - 2*q(w).\nAnswer: -2*w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8.59 and -3546?\nAnswer: 3554.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 692\/47 (b) -13 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*c**3 - 184*c**3 - 271*c**3.\nAnswer: -366*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 0 + y + 7\/2*y**2 - 1\/3*y**3. What is w(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + (12 - 20).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s - 52 = -2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -19*r + 18*r. What is the common denominator of (26\/32)\/((7 - 1) + -5) and (-1)\/2*((-123)\/r - 5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1250 and 20?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 553*x - 550*x = -a - 27, -7*a - 5*x - 173 = 0 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-six fifths of a litre?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = 7*u - 5*m + 6*m - 121, -u + 9*m + 63 = 0 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**4\/8 + 99*x**3 + 9801*x**2 + 431244*x + 7115526 = 0.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-169203*i + 84601*i + 84603*i + 2 + 558*i**3)*(-1 + 1 - i).\nAnswer: -558*i**4 - i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58 and 633.\nAnswer: 36714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/2*2\/(-16).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u = -38*u + 336. What is the remainder when 95 is divided by u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f**3 - 4*f**3 - 15*f**3 + (f + 5*f - 5*f)*(3*f**2 + 4 - 4) - 5*f + f**3 + 5*f + 5*f**3 - 3*f**3 - 3*f**3 + 0*f + 0*f - 2*f**3.\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82651?\nAnswer: 82651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 8*z = 4. Let b(i) = -6*i - 3. Is b(z) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 57*z**2 - 31*z**2 - 25*z**2 + 0*z**3 + z**3 + 10*z**3 - z. Calculate l(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 7. Suppose -p + 9 = -b. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 0) + 10\/(-25)*-5. Let v be (-300)\/(f + 22797\/(-11400)). What is v rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 3*j**5\/5 + 9*j**2\/2 + 1. Find the second derivative of x(i) wrt i.\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 5. Suppose 22*w = 11*w - 55. Give q(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5440 divided by 170.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 2*d + 12 = 0, -15 + 8 = -f + 3*d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + (sqrt(540) + -2*sqrt(540) - sqrt(15))\/(sqrt(5) - (sqrt(20)*-2)\/sqrt(4)))*-6.\nAnswer: -28*sqrt(3) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*o - 177 = 111 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -552.2 + -77101557186.\nAnswer: -77101557738.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.17 times -0.035?\nAnswer: -0.04095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2075 - -2284. Calculate the remainder when 1872 is divided by g.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z - 9. Let b be f(3). Suppose 2*i + i + 9 = b. Let m be 1144 + (i - -5)*-2. Round m to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 3:55 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19003 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/12 - (-186123)\/18. Round y to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -886*r**3 - 2*r**2 - 12*r - 9. Is a(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, n: 9, p: 2, l: 4}. What is prob of sequence blnp?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18558\/45 - 6\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(0*y - 4*y + 2*y) - 12*y + 32*y + 33*y.\nAnswer: 57*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bici when four letters picked without replacement from ifbcfficf.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i = -176. Suppose i = -0*x + 4*x. Suppose 2*y + 5*j + x = 0, -3*j + 3 = 5*y + 20. Let s(l) = -5*l**3 + l**2 + l. Determine s(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(5*f**2 - 3*f**4 - 5*f**2) + 12*f**4 + f + 331*f**4 + 91*f**4.\nAnswer: 440*f**4 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -601\/140549 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36\/(126\/(-14)) - -3341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 y when three letters picked without replacement from vqeveeeiiyyviv.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**2\/5 + 76302*z\/5 - 15261 = 0 for z.\nAnswer: -25435, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*b**2*c + 12*b**2 - b*c - 9*c - 8 wrt b.\nAnswer: -38*c + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -6*p**2 - 12*p + 2. Let q(f) = -24*f**2 - 48*f + 9. Let v(n) = -2*q(n) + 9*t(n). Let k(h) = 5*h**2 + 11*h. Calculate -5*k(a) - 4*v(a).\nAnswer: -a**2 - 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 22 = 5*t, 47*t - 51*t = -2*h + 76. Let l(y) = y - 6. Let b be l(8). What is the highest common divisor of b and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -892 + 891.84. Let m = 0.16854 + b. Round m to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**(3\/5)\/(k**(2\/7))**(4\/23) assuming k is positive.\nAnswer: k**(443\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27970?\nAnswer: 2, 5, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o - 2. Let n be s(1). Let l(d) = d**3 + 5*d**2 + 5*d + 3. Let t be l(n). What is the highest common factor of 24 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/17)*p**(-5)*p)**(1\/19)*((p*p*(p**(2\/17)\/p)\/p*p*p*p)\/p)\/p*p**(-1)*p**4\/(p\/(p\/(p**(-7)*p))) assuming p is positive.\nAnswer: p**(3202\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 11. Let s be n(15). Suppose a - 4*t - 23 = 0, -14 = -4*a + s*t + 18. Find the second derivative of -20*x**3 - 18*x + 10*x**3 + 9*x**a wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*(335\/(-134) - 29\/(-10)). Let v = 435\/4 - 108. Which is the second smallest value? (a) h (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c + 2. Let g(x) = -x. Let t(j) = 4*g(j) + n(j). Let k be t(-5). Solve -d + k = 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50753.\nAnswer: 50753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*o - 26, -2*o = o - 3*p - 27. Suppose 2*d - 69 = 101. Let l = d - 85. Solve o*y - 7 - 1 = l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.3, 0.12, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - t + 37. List the prime factors of r(0).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1348212 + -4.\nAnswer: -4.1348212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 3\/50*y**5 - 4\/225*y**6 - 1\/15*y**4 + 0*y**2 + 1\/45*y**3 - 14*y + 4. Factor a(o).\nAnswer: -2*o*(o - 1)**2*(4*o - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06 - 2.94. Let d be (4 + 350\/(-91))*7. Let p = d - 16\/13. Which is greater: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2337 and 1311.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 8*m - 30 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011100111110 + -10010101111?\nAnswer: 1001001010001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(15)\/sqrt(3) + 1 + sqrt(5) - (sqrt(5) + -2)*2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -7*n**2 - 104*n + 90. What is m(-24)?\nAnswer: -1446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 4*m**2 - 2*m**2. Let o(z) = -29*z. Let s(k) = 553*k. Let i(l) = 77*o(l) + 4*s(l). What is n(i(h))?\nAnswer: 441*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/238)\/((36\/(-30))\/((-8)\/10))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 16*y + 9. Determine g(-13).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18112924 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -26. Suppose k*w = -2*w - 40. Let m(f) = -f**3 - 8*f**2 - f - 4. What is m(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -20, 0.4, 287\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 - 14*m**2 + 18*m - 4. Is h(9) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -4. Suppose -z - 33 = -6*z + h*l, 19 = 3*z - 2*l. Let w = z + -3. Is 4\/3 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332101 (base 6) in base 7?\nAnswer: 143500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 76983*q + 153937. Determine h(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 156422 * -20.\nAnswer: -3128440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001100101 - 101?\nAnswer: 10001100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 62659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 45 = -n + 6*n, 0 = -4*n - 16. Let a = j + -3. Solve -5*w = 2*c - 8, 5*c + 0 = -a*w - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 4. Let p(v) be the first derivative of 0*v**l + 0*v + 2 + 0*v**4 + 1\/20*v**5 + 0*v**3. Solve p(n) = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4484506 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-182)\/21 - -9)*(-11 + 5 + (-630)\/7).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*3\/6 - -218. Let a = w - 109. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 5*n**2 + 22*n + 51. Let p(u) = u. Let w(l) = 7*l + 9. Let j(o) = 3*p(o) - w(o). Give -5*h(f) - 12*j(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 16 = -3*c. Factor c*f**2 - 4*f**2 - f - 2*f**2 + 3*f**3.\nAnswer: f*(f - 1)*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4455)*-1 + sqrt(4455))*6 + sqrt(4455) + sqrt(4455))\/(sqrt(5) + (sqrt(5) - (sqrt(200)\/sqrt(5))\/sqrt(8)) + sqrt(5) + sqrt(30)\/(sqrt(30)\/sqrt(5))).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, r: 2, p: 2, d: 1, s: 1, i: 2}. What is prob of sequence psii?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290703.\nAnswer: 3, 7, 109, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-20 + 14 + 7 + 5) - (4 - -32)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -72, -2\/9, -3\/11, 3?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110100010101100010101 (base 2) in base 16?\nAnswer: 5a2b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/333473 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -265 + 267. Is (-1)\/(t\/55576*-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*h + (3 - 1 - 3)*(0*h + 2*h - 4*h) - h + h + h)*(4*h - h - 4*h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 717 a factor of 10159890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1030572*n**3 + 3*n**2 - 45023*n wrt n.\nAnswer: -6183432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2199*z = -2191*z - 904. Let y be 1 - 2 - (-1 + -2). Suppose -4*w - 3*d = -279, 263 - z = 2*w - y*d. Calculate the highest common factor of 24 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 3, 4, -139, 8.\nAnswer: -139, 3, 4, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 equal to 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1176 = c - 4*k, 5*k - 1212 = -2*c. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 1:01 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilometer in millimeters?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0.1 (c) -1\/5 (d) -580\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 843893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7794148 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 3*a + a. Let q(k) = -107*k - 6. Is q(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*u + 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 4, 20 in increasing order.\nAnswer: 4, 10, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -7.6. Let p = w - 1.4. Let s = 0.056 - -2.944. Which is the smallest value? (a) p (b) s (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -74, -35?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56628 divided by 6?\nAnswer: 9438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24947 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-6))\/(21\/(-210))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 3*v + 4. Let h be y(3). Differentiate 35 + 9*q**h - 70 + 25 with respect to q.\nAnswer: 36*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3201022 (base 4) in base 9?\nAnswer: -21681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2241, 4582, 6921, 9258, 11593?\nAnswer: 13926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 6*b + 153. What is the highest common divisor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-36)*-4*(-1)\/(-4).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**3\/4 + 14262653*b**2\/4 + 57050599*b\/4 + 42787947\/4 = 0.\nAnswer: -14262649, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -29*g. Let l(m) be the second derivative of m**4\/12 - 68*m. Determine o(l(f)).\nAnswer: -29*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*i = 87*i + 11768. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 772*w + 209*w + 9)*(0*w + 6*w + 0*w).\nAnswer: -3378*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1503 by 2.\nAnswer: -1503\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416505?\nAnswer: 3, 5, 27767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 divided by 537?\nAnswer: -233\/537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 35*c - 2. Let n be v(2). Let u(d) = -1432*d - 19742. Let z be u(-14). What is the highest common divisor of n and z?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - u - 6 - 12 + 11*u as d + o*u and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, -902, -1566, -1836, -1580, -666, 1038?\nAnswer: 3664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 33369851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*c + 203, -6*k + k - 181 = -3*c. List the prime factors of (148\/c - 3) + 4272\/52.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5680.168 micrometers?\nAnswer: 5.680168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6*6\/(-54))\/((-4)\/6). Which is bigger: -24 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/(-66))\/((-196)\/(-4312))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*r - 35, r = -2*r + 5*g - 10. Let j = -6 + r. Sort j, 4, -4 in descending order.\nAnswer: 4, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 12. Suppose 4*a - 88 = -18*a + 18*a. Solve 5*i + r = a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10708 is divided by 76.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 920 = 10296*r - 10336*r for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-3\/4))\/(t**2\/t*t*t))**4)**(-26) assuming t is positive.\nAnswer: t**130","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 133*x - 15. Let u(z) = -66*z - 1. Let r(a) = -s(a) - 2*u(a). Let n(i) = -i**3 - i**2 - 3*i + 35. What is -2*n(d) + 5*r(d)?\nAnswer: 2*d**3 + 2*d**2 + d + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 6, -13, -56, -129, -238, -389, -588?\nAnswer: -841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.9 + -5.3. Let d = -1.4 - h. Which is the third smallest value? (a) 5 (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10339808 is divided by 2619.\nAnswer: 2615","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**2 + 23635*z\/3 - 94588\/3 = 0.\nAnswer: -23647\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a8a (base 15) in base 7?\nAnswer: 22531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*k - 10 = 268*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9152 a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a second in milliseconds?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -77, -129, -179, -221, -249, -257, -239?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -144 - -171. What is the remainder when 70 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, -0.3, 5, 0.1, 4\/5, -55?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w - 8. Let h(j) = 9 - 23 + 8 + 7. Give -8*h(i) - x(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6604 = -79*n - 96*n + 1354 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14 (b) -4724 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 2*u + 15, -6 = u + 2*f - 4*f for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**4 + 155880*l**3 + 1214616920*l**2 - 4860338400*l + 4860962000 = 0 for l.\nAnswer: -15590, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2990*k + 2394951. Calculate q(-801).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 75164b2 - -b?\nAnswer: 7516501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/50 of a second?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55748041 a multiple of 477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7067 + 7080. What is the smallest value in j, 3\/7, 4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2 + 10*b - 5*b - b**3 + 2*b**3 in the form w*b**2 + o*b + s*b**3 + y and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/3*9\/4. Let w(d) = d + 3. Let v be w(q). Let u = -4 + 3. What is the nearest to u in v, -5\/4, -0.4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/160*4\/10.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (8 + (-54 + 3 - (0 - -5)))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 2427*f - 4. Let n(c) = -3*c**2. Determine z(n(b)).\nAnswer: 18*b**4 + 7281*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -29. Let f = 18.915 - 6.071. Let z = r + f. Round z to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -1659*c + 1048. Is x(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 1500?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6829671.\nAnswer: 3, 2276557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -17 - (-10 + 681\/114)?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 2*y**4\/3 - 10*y**3\/3 + 9*y**2 - 62*y. Let a(n) = 4*n - 5. Calculate 9*a(m) - 2*s(m).\nAnswer: 4*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/12)\/((-77)\/(-14))*3\/2.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 4:30 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, 1044, 2, -32 in ascending order.\nAnswer: -32, 2, 3, 6, 1044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5813702 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 59*g - 4. List the prime factors of m(9).\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 60?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 3*r + 3. Let g be v(3). Suppose 0 = m - 3 + 1. Let j(b) = -b**3 - g + 3 - 5*b**m - b. Calculate j(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 30 = -3*c, -4*c - 12*t + 8*t + 32 = 0. Find the third derivative of 41*u**5 + 39*u**c + 2*u**4 - 72*u**5 + 2*u**2 - 2 wrt u.\nAnswer: 480*u**2 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403595453.\nAnswer: 17, 71, 334379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2700 - 721. Suppose -3*x = -2*h + i + 789, -5*h + 1860 = -2*x. Calculate the common denominator of -75\/16 and (-348)\/x + -4*2\/20.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 11. Let b(f) be the second derivative of 2*f**3\/3 - 5*f**2\/2 + 4*f. Let h be b(4). Let r(u) = 2. Calculate h*r(w) - 2*l(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1115471947 + 6.\nAnswer: 1115471953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167456123 is divided by 56.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, 1, -3 in decreasing order.\nAnswer: 6, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2395045?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 214, 231 in decreasing order.\nAnswer: 231, 214, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-94)\/(-32) - 3) + 0. Sort -2, -5\/3, l in descending order.\nAnswer: l, -5\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -14*p**2 + 13*p. Let f(i) = -13*i**2 + 12*i. Let v be -15*(3 + 34\/(-10)). Let b(x) = v*f(x) - 5*y(x). Find the second derivative of b(t) wrt t.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -9774, -3, -1, 4 in decreasing order.\nAnswer: 5, 4, -1, -2, -3, -9774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(1\/2)\/d)\/d)\/d)**(1\/10)\/(d\/(d\/(d\/(d*d**1)))*d**(4\/7)))\/((d\/d**(-2\/21))\/(d*d**9*d*d))**(-2\/3) assuming d is positive.\nAnswer: d**(-1787\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 3:42 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4467*-0.4\nAnswer: 1786.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (-6)\/(12\/10). Let q be 7 - (3 - x\/(-1)). Suppose 5*k + 24 = d, 0 = -2*d - q*k + 2*k + 15. Calculate the remainder when d is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17267375.\nAnswer: 5, 138139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is db3 + 0?\nAnswer: db3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 19. Suppose 2*g + 0*g = 60. What is the remainder when g is divided by x*(32\/20)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 121864 * -2.\nAnswer: -243728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 549 - 414. Which is smaller: 137 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/1562285 and 36\/1562285?\nAnswer: 1562285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-14)*(-28717)\/(-174). Let k = x - 660\/7. Let u = 358\/435 - k. Which is the third smallest value? (a) -1\/10 (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3687944 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 26 = -r. Solve r*c = 6*c + 8, 5*t = 2*c + 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + -43. Let j(u) = 8*u + 46*u - 4 + 5. Is j(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1873 = 112*c - 417 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 10) to base 12\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/592870 and -27\/460795.\nAnswer: 93080590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-6))\/(-28*3\/(-48)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 3. Let p be (l\/(-8) - -2)*(1 - 3). Solve 0 = -3*m - p - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21019838 by 322.\nAnswer: -65279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*u**3 + 2*u**2 + 26*u**3 - 27*u**3 to f*u**3 + c*u + t*u**2 + j and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 88 - 266 = -2*u, 166 = 2*u - 4*q. Calculate the remainder when 4435 is divided by u.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-87)\/27 - 12\/(-54). Let p = t + 32. What is the remainder when p is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2117904 divided by -705968.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 71597, 286489, 644651, 1146089, 1790809, 2578817, 3510119?\n\"Answer: c**3 + 71629*c**2 - 2*c - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*c - 30 = 0. Let x(r) = 4*r**2 - 65*r - 22. What is the remainder when x(17) is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, h: 4, v: 9}. What is prob of sequence vf?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2943951, -2943952, -2943953, -2943954, -2943955, -2943956?\n\"Answer: -a - 2943950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26821 = 28*w - 89136 - 485925. List the prime factors of w.\nAnswer: 2, 5, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m - 5 = 0. Let n(v) be the first derivative of v**4\/4 - 8*v**3\/3 + 15*v**2\/2 + 3*v + 349. Calculate n(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11416 + 24*c + 11416.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*i**2*k + 99975*i**2 + 5514*i*k - 138*i wrt i?\nAnswer: -14*k + 199950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 6. Suppose 2 = h*r - 2. Solve 0 = 4*l + 6 + r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**6\/120 - t**5\/10 + 9*t**3\/2 + t**2 + 16. Let y be x(5). Solve 0 = 2*a + 4*r - 12, -r + 4*r + 5 = y*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40539 is divided by 89?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(99) + sqrt(99))*3 + 5*sqrt(99)*1)\/(1*(2*sqrt(900) + sqrt(900))*1).\nAnswer: -2*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2626, -2613, -2576, -2503, -2382, -2201, -1948?\nAnswer: -1611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -817?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 375867.7 micrometers?\nAnswer: 375.8677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*v + i - 54, -3 = 3*i. Let c = v - -31. What is the remainder when 7 is divided by (-14)\/8*(c + -14)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 338785425.\nAnswer: 2710283400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 865*c + 110696. What is m(-128)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1580796100 and 325?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*n + 14 = -218, -269 = -5*u - n. What are the prime factors of u?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 24 = 5*s, -3*s + 0*t = -2*t + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -667*j**3*n + 186*j**3 - j**2*n - 61057741*j*n wrt j?\nAnswer: -4002*j*n + 1116*j - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 6*y**2 + 6*y + 8. Let t = -1776 - -1782. What is o(t)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -350, -755, -1318?\nAnswer: -2039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 44*m + 33. Let b be z(-24). What is the highest common divisor of 351 and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -637*j - 6373 = 5150 - 1331 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38469*b**2 - 21209 with respect to b.\nAnswer: -76938*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of ((-2572)\/6)\/(((-168)\/18)\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9*h. Let o be (-90)\/(-72)*1*(-2)\/(-5). Let v(c) be the second derivative of 4*c + 0 + o*c**3 + 0*c**2. What is u(v(l))?\nAnswer: 27*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58055504 by -1116452.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 31. Let r(f) be the second derivative of 1\/10*f**6 + 0*f**2 + 3*f + 0*f**3 + 1\/12*f**4 + 0 + x*f**5. Find the third derivative of r(d) wrt d.\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 0 - 5*w**3 - 11*w + 0*w**2 - 8\/3*w**4. Find the second derivative of p(a) wrt a.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 4545.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -51 + 3 + 48 + 35\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -19*k + 23*t - 20*t, -8 = -2*t + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 41056*c - 615834. Give j(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 348*o + 5. Let v(y) = y**3 + 4*y**2 - 2*y - 4. Let s be v(-4). Is h(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1354, -396, 1200, 3434?\nAnswer: 6306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + i + 30, -5*i - 119 = 3*s + s. Let t(y) = -2*y**3 - 3*y**2 + 2*y - 4. Let n be t(-4). Let f = n + s. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -204385 - 0.203823071.\nAnswer: -204385.203823071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 + 12426*n**2 + 112077*n.\nAnswer: -3*n*(n - 4151)*(n + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 188 - 132. Solve 19 + r = -15*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592268400 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 b when four letters picked without replacement from sshbssbxhbhhhbhb?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011 - -11?\nAnswer: -100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/5169516 and -43\/1848?\nAnswer: 72373224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in 16, -1, -1\/14, -5, -4?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_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: What are the prime factors of 51385?\nAnswer: 5, 43, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(147) + -1 - (sqrt(192) + 1)) + 0 + sqrt(108) + 4)*-5)**2.\nAnswer: 500*sqrt(3) + 1975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57*c**4 + 319*c**3 + 10*c**2 + 2247231*c wrt c?\nAnswer: -684*c**2 + 1914*c + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + -8)*(-17533)\/4137?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**3 - 3*i**2 - 3. Let v(f) = -3*f**3 + 4*f**2 + 4. Let j(g) = -g**3 + g - 57. Let p be j(0). Let k be p\/(-15) + 2\/10. What is k*a(o) + 3*v(o)?\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.18 - -0.124. Let y = -7169 - -7169.05607. Let n = y + d. What is n rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 + -73.76. Let j = -216.76 - l. Let c = j - -221.000131. Round c to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28298323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127 - 112*c**3 - 258 + 131.\nAnswer: -112*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 9*q**2 - 4*q + 16. Give f(-7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q\/q**2))\/q*q*q\/(q**(2\/9)*q)*q*q\/(q\/(q**(-6)\/q*q)*q)*q**1 assuming q is positive.\nAnswer: q**(-47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 12*p + 1014. Let d be u(-82). Solve -d*j - 19*j = -10*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23415260519 minus 8.63?\nAnswer: -23415260527.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 219 in decreasing order.\nAnswer: 219, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(243)*-1 + sqrt(243))*2)**2 + -1 - ((-5*(sqrt(432) + 0) + 5)*4)**2.\nAnswer: -164453 + 9600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6294*s + 5072954. What is v(806)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 7224438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 554021, 554012, 554003, 553994, 553985, 553976?\n\"Answer: -9*z + 554030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 8*u - 7*u = 0. Suppose -46*j + 39*j - 10290000 = u. What is j rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.007405643 plus -40211?\nAnswer: -40211.007405643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3405 is divided by 3381?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, 0.3, 1, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.171 rounded to 1 dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*j - 1. Suppose -z = 3*s + 1 + 2, s - 3*z - 9 = 0. Let k be -1 + j\/(1 - s). Which is the biggest value? (a) -1 (b) k (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -189 greater than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 423*f - 305*f + 2006 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + q + 12 = 0. Suppose 11 = l - 2*j, q*j = 4*l + 5*j - 8. Let c(n) = -2*n**3 - n + n - 5*n + 4 + 0*n**l. Let o(r) = r - 1. Give c(z) + 4*o(z).\nAnswer: -2*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-2) - 4\/(-8). Suppose 0 = 2*w - 0*g + i*g + 2, -5*g = w + 1. Let y be w + (217 - (-2 + -2)). What is the greatest common factor of y and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27866 and (((-12)\/(-14))\/((-227)\/1589))\/(-1).\nAnswer: 83598","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 74357919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-12)*-3*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 15727, -1\/2 in decreasing order.\nAnswer: 15727, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 11:30 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - 6*f**2 - 4*f**2)*(3*f + 8*f**2 + 0*f**2 - 6*f**2).\nAnswer: -14*f**4 - 21*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 20*v**3 - 3*v**2 + 2*v + 23. Let a be n(-6). Which is bigger: -4418 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 260571.7 weeks?\nAnswer: 1824001.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42518848811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from jfrarfjfppprjppaapf.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 1. Suppose 2*c + 27 = 15. What is v(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 4*g**2 - 2*g - 3. Suppose -o - 5*b = -47, -2*o + 66 = -3*b - b. Calculate the remainder when o is divided by h(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 57 + 3*h**3 + 31 + 5*h**2.\nAnswer: 3*h**3 + 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from sqyyyysyqssyq.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38135 (base 9) to base 2.\nAnswer: 110010000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11313 - -4?\nAnswer: 11321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence laa when three letters picked without replacement from laa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 574.351897 to 1 decimal place.\nAnswer: 574.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 10:30 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**9*(l*l\/l**(-14)*l)\/l*(l*l**(-10)*l)\/(l*l**(-1\/12)) assuming l is positive.\nAnswer: l**(205\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*h - 5, -2*j - 4 - 11 = -5*h. Suppose -j*f = -13 - 217. Does 23 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4552 is divided by (6\/2)\/((-198)\/(-1188))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 - -74. Put -5, 4, z, -2 in increasing order.\nAnswer: -5, -2, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 846 - 806.7. Let s = -34 + t. What is s rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2080 + 2086 - t + 3329 - 7495.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z**2 - 46*z + 6. Let p(i) = i**2 + i - 1. Calculate 6*p(l) + x(l).\nAnswer: 2*l**2 - 40*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -26986 + 26986 - 11*c**2. Let o(y) = y + 34. Give o(l(h)).\nAnswer: -11*h**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 times 2736556?\nAnswer: -328386.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -7601751 and -7601709 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -39 + (-14 - (-45 - 17))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1545093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v - 9. Determine n(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 5*o**2 - 9. What is y(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 2*u - 1. Let q be 14*3\/(21\/2). What is t(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -27. Suppose -3*t - 3 = -f. Let 4*r**3 - t*r**4 + 2*r**5 - r**5 - 4*r**2 + 2*r**3 - r**4 + r = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -0.1. What is the biggest value in b, -1\/6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 2*i**2 + 4*i + 1. Suppose -4*d + y - 1 = -3*d, 3*y = -d - 9. What is a(d)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 214*i + 36*i**2 + 116 + 214*i.\nAnswer: 36*i**2 + 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 7*j**2 - 11*j + 6. Let h be u(-4). Solve 6*c + 16 = c - 4*d, h*c + 5 = -3*d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2000 (base 4) to base 16\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.9 and 5.84129263824.\nAnswer: 4.94129263824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 0, 12, 32, 60, 96, 140?\n\"Answer: 4*s**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 64*p**2 + 2478*p - 653. What is w(-39)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 4:30 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69770 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1471*y**2. Let d(n) be the third derivative of -n**4\/12 - 4*n**2 - 1045. Determine d(p(o)).\nAnswer: 2942*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 113*s**2 - 2541*s - 26. Calculate f(-31).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, b: 1, y: 14}. Give prob of picking 2 q.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -824*x + 820*x = -4. Let z(b) = 5*b**2 + 6*b. Let q(k) = k**2 + k. What is x*z(j) - 4*q(j)?\nAnswer: j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.207786 rounded to one dp?\nAnswer: 12.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5596 + (-1)\/(-3)*((14 - 1) + -25).\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f. Let j(c) = 83*c + 5. Determine j(a(r)).\nAnswer: -83*r + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 6*o**2 - 7*o + 5. Let d be -2 - (-1)\/2*-10. Does 2 divide g(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*d = 2*c + 8, -13 = 5*c + 2*d. Let h = -40 - -71. Is (h\/(-5) + c)*-5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*f + 100, -2*t - 4*f + 7*f + 30 = 0. Let c(g) = g - 13. Let l be c(t). Suppose 0 = -l*a + 241 + 249. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -718 - -749.74. Let j = -0.26 - f. Let x be (-3)\/((-9)\/(-10)) + (-2 - -6). Which is the third smallest value? (a) -1\/3 (b) j (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3712, 3693, 3662, 3619, 3564, 3497, 3418?\n\"Answer: -6*i**2 - i + 3719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14685 + 20735. List the prime factors of x.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9\/83 - 283\/1079. Let d = 0.03 + -3.03. Sort d, h, 0.1, 3.1 in decreasing order.\nAnswer: 3.1, 0.1, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 5632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h + 6. Suppose 6*r + 10 = r. Let n be 1 + 1 - (r + 8). Let b(x) be the second derivative of -2*x**3\/3 + 7*x**2\/2 + 3*x. Determine n*b(m) + 5*i(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*-2 - sqrt(52))\/sqrt(4).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -985, -2294, -3603, -4912, -6221, -7530?\nAnswer: -8839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*s + 21. Suppose 3*u - s*u = -24. Let r(j) = 2*j - u*j**3 + 5*j**3 + 2*j**3. Determine r(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 3*r**2 + 4*r - 3. Let o(s) be the second derivative of -s**5\/4 + s**4\/12 + 506*s. Suppose -f + 3*f - 2 = 0. Let i be o(f). What is u(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 693*x**2. Let q(r) = 2601*r. What is i(q(v))?\nAnswer: 4688284293*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 11748, 3, 16\/5, -5, 0, -13 in increasing order.\nAnswer: -13, -5, 0, 3, 16\/5, 11748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3184*v = -65031 - 52741 - 89188 for v.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8288.229 weeks in nanoseconds?\nAnswer: 5012720899200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -322 (base 7) to base 16\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1728*h**3 - 354 + 354.\nAnswer: -1728*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 23 + (-6 - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1102212100210 (base 3) to base 4\nAnswer: 2322300321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 428 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**3\/3 - 4*x**2 - x - 2. Let j be w(-7). Suppose -5*g = -j + 1. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -17*a**3 - 4*a**2 + 4*a + 4. Let o(s) = -494*s**3 - 117*s**2 + 117*s + 117. Suppose 1287 = -102*f + 113*f. Determine f*d(b) - 4*o(b).\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -3 - (-7 + 6 + 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**5 + 22*c**5 + 4*c**5 + (6*c**2 - 5*c**2 - 3*c**2)*(0*c**2 + 0*c**2 + c**3) + 4*c - 2*c**5 - 4*c.\nAnswer: 26*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32.16 and 169?\nAnswer: -5435.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(133)*4 + sqrt(133)) + sqrt(133) + sqrt(133) + -1*3*sqrt(133))\/((sqrt(847) - (sqrt(847) + 3*sqrt(847)*-2)) + 3*sqrt(847)*-1).\nAnswer: 29*sqrt(19)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*o**2 - 7*o**4 + 6*o**4 + 0*o**4 - 3*o**3 + 6*o**3 to v*o**3 + i*o**2 + n*o + a*o**4 + s and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/14 + 528\/(-168). Put 4, 28, i in decreasing order.\nAnswer: 28, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28542672 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*j = -j - 108, 0 = 3*j. Let h be (z\/6)\/3 - 25\/(-10). Let r(p) = -p - 699 + 699. Let u(k) = -k**2 - 4*k. What is h*r(b) - u(b)?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-2 + -2) - (-20 - -15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 1. Let p(j) = 22*j - 220. Let s(g) = p(g) + 2*w(g). Let v be s(11). Let u be (1 + 2)*(-1 + 2). Solve -u*y - v = 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 3:52 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10606 - 4?\nAnswer: -1060a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**3 + 74*t**2 - 32*t - 380. Let p be h(24). Solve -119*f = -118*f + 2*i - 4, p*i = 4*f + 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -26*w. Let q(v) = 1095*v - 6. Determine q(s(f)).\nAnswer: -28470*f - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 138*o**2 - 275*o + 453. Let z be a(-136). What is the greatest common divisor of z and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or 3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, i: 9}. Give prob of picking 2 i and 2 z.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/20)\/(-11 - 2536\/(-230)). Solve -3*a + 1 - w = -4*r, -2*r + 2 = 3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -13*x**2 - 208*x - 5. Let d(a) = 3*a**2 - a + 1. Give 4*d(s) + k(s).\nAnswer: -s**2 - 212*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 426053.8l to millilitres.\nAnswer: 426053800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -21 + 30 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70.6 - 70. Let z = -0.1972 + -0.1028. Which is greater: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18586 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - z - 1. Let o(t) = -11*t**2 + 8*t + 6. What is -6*g(k) - o(k)?\nAnswer: 5*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46426460.\nAnswer: 2, 5, 151, 15373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122 + 65 + 18*d - 14*d + 58.\nAnswer: 4*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(2060\/2389) + -2. Let n = c + -2\/103. Let a = -16.3 + 16.4. Do n and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x**2 - 7*x + 9. Let p(d) = -d**2 - d + 1. Let t(h) = k(h) - 4*p(h). Calculate t(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13271711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*l = -99*l - 880 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 4*m - 3. Let s be f(4). Let j be (14\/6)\/(1\/15). Let y be (-15)\/25 + 31\/j. What is the closest to y in 0, 3\/4, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -115, -169, -219, -265, -307, -345?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f**2 + 7*f + 23. Let j(t) = -5*t**2 - 6*t - 22. Let c(o) = -6*d(o) - 7*j(o). Let p be c(0). Let b = p + -4. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*s - 4 = -14, 2*s = -g - 1. Solve 12 = -k - 5*i + i, 4*k = g*i + 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 2. Let u be v(-6). Let n(g) be the second derivative of g**3\/6 - 5*g**2\/2 + g. Let f be n(0). Put u, f, -2 in descending order.\nAnswer: u, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2767 is divided by 688?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -251 (base 7) in base 2?\nAnswer: -10000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -88, 0.3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*z**2 + 0 + (2*z + z - 2*z)*(-z + z + z))*(-1 - 2 + 4)*(-1 + 2 + 1).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587719329.\nAnswer: 3, 7523, 26041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 3*j - j + 4 = 0, -4*b = -j - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p - 2*p + 3*p + (-3*p + 0*p + p)*(1 + 5 - 4))*(55239 - 27634 - 27617 + 1623*p) to the form f*p + k*p**2 + w and give f.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 99517087063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 8:58 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11850 and 219462?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, f: 1, s: 2, l: 1, u: 2}. What is prob of picking 1 f and 1 l?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1\/15*6)\/(4\/10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a - 16 = 0. Suppose -1 = a*s - 53. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**4 - 39*b**3 + 30*b**2 + 72*b = 0.\nAnswer: -1, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 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: Is 1195762751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6256.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4*c + 1020, -9*i - 502 = -2*c - 8*i. Let z = 39 + c. What are the prime factors of z?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 5*m. Let x = m + 30. Suppose 4*h - 6*h = -4*z - x, -5 = h + 2*z. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*q + 28 + 148 = 32 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116023 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and 2.4.\nAnswer: -0.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37 + 28363.\nAnswer: 28400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8597, -1369, 5859?\n\"Answer: 7228*z - 15825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -21*n**3 - 6*n**2 + 53*n - 11. Let t(o) = 46*o**3 + 13*o**2 - 104*o + 24. Determine 22*d(v) + 10*t(v).\nAnswer: -2*v**3 - 2*v**2 + 126*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 5*m - 341 + 128, 0 = -4*c + m + 453. Let x = 13316 + -13311. Suppose -b + 0*b - 2*i = -c, b + x*i = 123. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n**3 + 9*n**2 + 4*n - 1. Let h(k) = -k - 9. Let r be h(-5). Let d(o) = 6*o**3 - 10*o**2 - 5*o + 1. Let i(s) = r*d(s) - 5*t(s). What is i(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((-3 - (5 - 5)) + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (86 - 59 - 55)*(-4*d + d + 2*d) to f*d + o and give f.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 21*c - 10. Give y(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u - 5. Let j be s(6). What is the units digit of (j + -4)\/(-2 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -0.3?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*6*(((sqrt(300) + 1)*3)**2*3 - (-1*sqrt(384)\/sqrt(8)*2)**2).\nAnswer: -95220 - 6480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((552\/160)\/(336\/560))\/(9\/12)\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23\/92*(65\/30)\/(-13)\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8791\/4 + -2200. Which is the smallest value? (a) -21 (b) q (c) -1\/3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 31 - 37 = 0. Let k be (6\/(-9))\/((-24)\/(-18))*r. Is 11 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 3:36 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 2*n - 4*n - 3*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 164101862 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -482*i + 214 - 478*i - 484*i - 475*i + 1906*i to f + q*i and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6547118491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15802 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7234 at most 875420\/121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 u when three letters picked without replacement from jiuuyjjijjuuiui?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1038 divide 152363868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (146 + 29 + (-8)\/(-2)). Let o be 78\/y - (-325)\/7. What is the highest common divisor of o and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 222\/(-36) - ((-10)\/(-2) + -11). Let v = 44.01 + -1.01. Let k = 39 - v. Sort k, -1\/2, u.\nAnswer: k, -1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -346280 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 342646944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9759963 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 + q**2 + 15*q + 25. Give i(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -28*g**2 + 959*g + 36. What is the remainder when 432 is divided by u(34)?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5619.6791 to the nearest integer.\nAnswer: 5620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 37 = m, 2*n + 122 = 2*m - 0*m. Suppose -8 = j - m. Let h = j + -33. Solve -2*v - 2*v + h = 0, 0 = 3*f + v - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/39175616 and -101\/4896952.\nAnswer: 39175616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.202462363 - -567305\nAnswer: 567304.797537637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrrrbbcccccrrubcrm. Give prob of picking 2 c and 1 b.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 460 - 461. Let g(l) = -6*l**2 - 1. Let c(y) = y**2. Let z(d) = 5*c(d) + g(d). Let j(b) = 5*b**3 + 15*b**2 + 15. What is v*j(f) - 15*z(f)?\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from {f: 1, j: 1, m: 1, l: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11526 divided by -339\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -684 - -679. Put d, -2, 0 in increasing order.\nAnswer: d, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/1049 + -3161\/7343. Let g = -0.1 + -3.9. What is the third biggest value in g, p, -0.3, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/300 and 167\/30.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1642 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 1852 = 1112. Calculate the remainder when f is divided by 114.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*d = -18, 3*f + 3*d - 7 - 11 = 0. Suppose k - 4 - f = 0. Let g be (-8)\/(-6)*(-9)\/(-2). Solve 2*o = -3*y - g, -2 = 2*y + 4*o - k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7254 - 28991\/4. Let c(u) be the first derivative of -22*u - d*u**4 - 24 + 0*u**3 + 0*u**2. What is the first derivative of c(i) wrt i?\nAnswer: -75*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 8*l**2 - 7*l - 16. Let z be i(9). What is the third derivative of 9*t**4 + 4*t**4 + 49*t**2 + 10*t**4 - 43*t**z wrt t?\nAnswer: 552*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 - 3*j. Let f be c(2). Suppose x = -f + 1. Let m = -171\/5 + 3923\/115. Are m and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -247*(-4)\/2 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364274 is divided by 14567?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 148 = -4*f, 10106*f = -g + 10109*f - 32 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -228, -3, 0, -70 in increasing order.\nAnswer: -228, -70, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 19, -6, -31, -50, -57, -46?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w + 105 = 0. Let a = -24 - w. What is the remainder when 27 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19134 is divided by 9557.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 30, 155, 362, 651, 1022?\n\"Answer: 41*p**2 + 2*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2. Let m(p) = p**3 - 7*p**2 - 9*p + 10. Let j be m(8). Let x(t) = 0*t**2 - t**j + 4*t**2. Give x(l(z)).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -20. Let h be -6 + 3 + 0\/(-3). Let z be 10 + -3*g\/h. Solve 10 = -z*w + 3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 219.7?\nAnswer: -218.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1289 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**3 + 1997036*w**2 - 1997024*w - 3994064 = 0. What is w?\nAnswer: -1, 2, 499258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -323, -3356, -8411, -15488, -24587, -35708?\nAnswer: -48851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10342\/22 + 38\/(-418). Suppose -474*w + 8 = -r*w. Calculate the least common multiple of 114 and w.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769 is divided by 110?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 7. What is the lowest common multiple of n and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207 - 0.1493.\nAnswer: 206.8507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-125)\/(-275))\/((-20)\/12).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, i: 2, s: 1, g: 2, v: 1}. Give prob of sequence sv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 - 79 = 40*k. Let p(d) = 2 - 4*d + 2*d**2 + 4*d + d**2. Let y(c) = -7*c**2 - 5. Let l(h) = k*y(h) - 10*p(h). Factor l(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24689.40266 to the nearest one hundred.\nAnswer: -24700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 96 = 2*d, -96 = -s + 4*d - 39. Calculate the remainder when s is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -753 + 758. Let r be (-2 + -1 + 3)\/2. Solve -5*k + s = -r*s - 26, -v*k = -4*s - 29 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4085\/(-114))\/(-43))\/(10\/18)*8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41057, 1, -3.\nAnswer: -41057, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**3 - 9*b**2 - 65*b - 12. What is the lowest common multiple of 174 and r(7)?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*p = -10*p. Solve -6*z - 3 = -7*z + 2*j, p = 4*j + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1367, -1, -2, 4, 2 in ascending order.\nAnswer: -1367, -2, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13468729, -13468727, -13468725, -13468723, -13468721?\nAnswer: -13468719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 599714.8 centuries?\nAnswer: 59971.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2. Let w(t) = -t**2. Suppose l + 0 = 2. Suppose 26 - l = -8*m. Let b(g) = m*p(g) - 5*w(g). Let s(a) = 2*a**2. Calculate s(b(j)).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-7) + (-121790)\/13300 - 56\/(-7)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 4 (c) 1 (d) -7\/46 (e) -3 (f) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8425 and 13143.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - q + 1. Let d(f) = 10*f**2 - f + 4. Let k(r) = 9*r**2 - 2*r + 4. Let s(p) = -3*d(p) + 4*k(p). Let l = -4 - -5. Calculate l*s(t) - 4*a(t).\nAnswer: 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 730572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -241 >= -235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011011111 - 10111000101?\nAnswer: -101010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(252) + -1 - sqrt(252)) + sqrt(252) + sqrt(252))**2*-1*-6.\nAnswer: -720*sqrt(7) + 6198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1163*o**4 - 5948*o**3 - 4536*o + 171 wrt o.\nAnswer: 13956*o**2 - 35688*o","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -1 + 9. Let p = 249192 - 249181. Which is smaller: h or p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -224416537871129335077 - -224416537534821817871.0000007. Let z = x - -336307516541. Let r = z + 665. What is r rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 97*u**2\/2 - 651*u + 56. What is the first derivative of t(d) wrt d?\nAnswer: 97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2. Let g(o) be the first derivative of -o**4\/12 - 14*o + 16. Let a(p) be the first derivative of g(p). Determine x(a(r)).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 l when three letters picked without replacement from dulldldddldlldlld.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 203 - 3305. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1. Let k(n) = 14*n - 23. Let l(z) = -k(z) - 4*r(z). What is the derivative of l(a) wrt a?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 103*h**3 - 12*h**2 - 2*h + 6. Let k(j) = -104*j**3 + 14*j**2 + 2*j - 7. Calculate 6*k(x) + 7*m(x).\nAnswer: 97*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 18*v**2 + 14. Let u(t) = -55*t**2 - t - 36. Give 3*u(b) + 8*y(b).\nAnswer: -21*b**2 - 3*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(3 - 38\/14). Let y = 10 + m. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-4\/3)*n**(-7\/5)\/n*(n*n*n*n**20)**(-2\/9) assuming n is positive.\nAnswer: n**(-353\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 10, 14*c - 16*c + 2*n = -4042. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 6*m + 5. Let o be j(-5). Let x(l) = 2*l**3 + l**2 + 2*l - 9. Let r(s) = s**3 + s - 1. Let a(p) = 3*r(p) - x(p). Determine a(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 845615 is divided by 4085?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -121?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 12*o**2 - 25*o + 27. Determine s(10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 + 2*p + 2. Let r = 0 + 3. Let w(g) be the second derivative of -1\/4*g**4 + 1\/3*g**3 + 1\/20*g**5 + g**2 + 0 + g. Calculate r*o(v) - 2*w(v).\nAnswer: -2*v**3 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - -40. What are the prime factors of p?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -73?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -12 - (1 + -2) - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/126)\/(48\/56)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26204 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/(d**(-6\/7)*d)*d)*d**(1\/21)*(d**(-2\/5))**(3\/16) assuming d is positive.\nAnswer: d**(-743\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2813963, -5627914, -8441865, -11255816, -14069767, -16883718?\n\"Answer: -2813951*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33695*h**2*x**2*y**2 - 11*h**2*x**2*y - 2*h**2*x**2 + 56*h*y + x wrt y?\nAnswer: 67390*h**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 12 + 24)*(-u + u + 3*u) - 5*u - 5 + 5.\nAnswer: 109*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-4)*(-37)\/((-21645)\/(-45)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 = 3*q - v + 2*v, 482 = 6*q - 5*v. Let f(s) = 83*s - 1. Let t be f(1). Is q not equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 2144?\nAnswer: 1\/1072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/5 - 28*k**2\/5 + 106*k\/5 - 16 = 0.\nAnswer: 1, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4579850 is divided by 381653?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 10:59 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16399367 rounded to 4 dps?\nAnswer: 0.164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000418724746 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29808*a**4 - 13*a + 14745810 with respect to a.\nAnswer: -119232*a**3 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r**2 + 5*r + 10. Let d(i) = 6*i**2 - 6*i - 12. Let v(u) = -5*d(u) - 6*t(u). Let c(f) = 363*f**2. What is v(c(w))?\nAnswer: 790614*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/27 of a day in seconds?\nAnswer: 25600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -15912568 != -15912567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/5*s + 2\/5*s**5 + 0 + 26\/5*s**3 - 12\/5*s**4 - 24\/5*s**2.\nAnswer: 2*s*(s - 2)**2*(s - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 1 = -2*i, -949*i - 2 = -2*y - 948*i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0765 in 4, -212\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29484.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 9057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(35)\/sqrt(343) + 4) - 4*(-3*sqrt(5) + 2)*-2)**2.\nAnswer: -4056*sqrt(5)\/7 + 149861\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 2*f**2 + 5. Let m be p(0). Suppose 3*w + 25 + 17 = 0. Let i be (2\/4)\/((-1)\/w). Solve -3*k = m + i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 2:56 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 105537*v**3 - 2*v**2 + 625*v - 3 wrt v?\nAnswer: 633222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 3 + 7. Let y(j) = j**2 - 4*j**v - j + 3*j + j**3 - 4*j + 7. Let q be y(6). Round q to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-2) + 18\/4. Let z be 13 - ((-3)\/(-1))\/k. Let w be 4\/6 + 52\/z. What is the greatest common factor of w and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*u - 8. Let p(d) = d**3 - 3*d**2 - d - 2. Let r be p(3). Let i = u + r. Calculate the highest common divisor of 9 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 2. Suppose 3*z + 81 - 84 = 0. Which is the biggest value? (a) z (b) 13\/2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2413, 2455, 2503, 2557?\nAnswer: 2617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 0 - 2*u**2 - 1\/2*u**3 + 1\/360*u**6 - 1\/40*u**5 + 0*u - 1\/6*u**4. Let n(x) be the first derivative of v(x). Give n(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 219.6 and 9.\nAnswer: 228.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -10110?\nAnswer: -10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 141157 or 141153?\nAnswer: 141157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 142069378 a multiple of 2784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.118? (a) 4 (b) 14\/3 (c) 12\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 16 = -14. Let o be (9 - 7)*r\/4. What is the highest common divisor of o and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, d: 2}. What is prob of picking 2 d and 1 t?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260240 is divided by 7055?\nAnswer: 6260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18\/7 - 93\/28. Let j(o) = -3*o - 3. Let t be j(-2). What is the second smallest value in 2, t, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 (base 6) in base 11?\nAnswer: 1a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.163 + 1.163. Let f = 0.8 - 0.5. Let p(r) = -r**2 - 4*r + 4. Let g be p(-5). What is the closest to l in g, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -526430 + -23?\nAnswer: -526453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28350490 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -1483?\nAnswer: 147b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*q + 82 = -116 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22, -46, -70, -94, -118, -142?\n\"Answer: -24*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*o + 428, -3*d - d = 2*o + 578. Let v be (-4)\/(-3)*(-1188)\/d. Solve 4*h + 0 = w + 18, 2*w = 3*h - v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000022595203 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1616391 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-77 - 184 - 501 + 51)*(31*i + 1 - 60*i + 32*i)*(-5*i + 5*i + i**3) as r + c*i + u*i**2 + h*i**3 + q*i**4 and give q.\nAnswer: -2133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 103113 and 2223.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, a: 3, b: 3, h: 2, u: 2}. Give prob of sequence ashu.\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 90556 - 146.\nAnswer: 90410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2 (c) -0.09 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(420)\/(sqrt(7) + -2*sqrt(7)))\/(sqrt(12) - sqrt(120)\/(sqrt(10) + sqrt(70)\/sqrt(7))))**2 + 2 + -2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40260, 40283, 40308, 40329, 40340, 40335?\nAnswer: 40308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 - 4*i**3 + 4*i**3 - 3*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 144 (base 12) to base 10\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-2)*86\/86\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108\/(-180) + (-4 - 4666\/(-10)) and 525?\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 27*y**3\/2 - 273*y**2 - 447*y\/2 + 63 = 0.\nAnswer: -1, 2\/9, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 0 (c) 2\/101 (d) -0.5 (e) -16 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1670272, 1670273, 1670274, 1670275?\nAnswer: 1670276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21473 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 26*t**2 - 15*t + 250. Calculate f(-25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -2. Let r = -15 + 10. Let s be (43 - 35) + 3*-1. Put y, r, s in decreasing order.\nAnswer: s, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -131a046 + -2?\nAnswer: -131a048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -7. What is the units digit of (w\/2)\/((-1)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -8, -16, -28, -44, -64, -88?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (69\/(-18) + 4)*(23 + -17). Let n(g) = g**2 + 2*g. Let s(i) = i + 1. Let x(v) = -n(v) + s(v). Let f(p) = 7*p**2 + 10*p - 4. Determine r*f(c) + 6*x(c).\nAnswer: c**2 + 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n + 8*n + 20*n - 19*n as t + m*n and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwbfbffwfffxw. Give prob of sequence rw.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 + y**4 - 2*y**4 - y**4 + 4*y**4 - 4*y**4 + (-3 + 1 + 4)*(2*y**4 + y**4 - 4*y**4) - 5*y**4 + 0*y**4 + 4*y**4.\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.7 - -9.7. What is the smallest value in -5, j, 0.09, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -1\/2, 41, 1\/2, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3))**2 + -4 + -2*(sqrt(3) + 1) + sqrt(3) + 3*sqrt(18)\/sqrt(6)*-6 + -5.\nAnswer: -19*sqrt(3) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109090*s**2 - 109081*s**2 + 327261*s**2 - 109084*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 0*f + 0*f**2 + 3\/4*f**4 + f**3 + 7. Factor a(i).\nAnswer: 3*i**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -159\/10 + 17. Let i be 298336\/4776*(-41)\/(-272). Let d = i + 3\/3383. What is the common denominator of d and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 11. Let d = -2 - u. Let f = -0.06 - 2.94. Which is the second biggest value? (a) f (b) -3\/4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -278a1 (base 11) to base 10\nAnswer: -39678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - -1 - (-2 - (-5 + -3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - c + 7, -2*c = -2 - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.3 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**8\/20160 - 11*s**7\/5040 - s**6\/720 + 181*s**5\/60 + 2*s**2 + 61. Let m(t) be the third derivative of g(t). Give m(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d (base 15) in base 10?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 1\/98*y**7 - 1\/28*y**4 + 9\/140*y**5 + 0*y**3 - 2 + 0*y**2 - 42*y - 3\/70*y**6. Factor x(m).\nAnswer: 3*m**2*(m - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4\/4847 - 2185961\/43623. Let w = p - -50. Let m = -26\/9 - -112\/45. Which is bigger: m or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -1)\/((-1)\/8). Let o be 5*-1*(1 - 9). What is the greatest common factor of o and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 3:28 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 140799965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 8\/3. Let m be -3 + 9\/15 - -2. Which is the nearest to j? (a) m (b) 1\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3733886 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -2532558 (c) 2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1044*b + 1645*b - 588*b.\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + -6*sqrt(20)*-3)\/(1*sqrt(10)*3).\nAnswer: 19*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0035342 to 4 decimal places.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 8*k**2 + k + 8. Let z be 17\/2 + 4\/(-8). What is the remainder when 31 is divided by i(z)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p + 14 = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/9*f**3 - 2\/9*f**4 + 0 + 0*f - 14\/9*f**2.\nAnswer: -2*f**2*(f - 7)*(f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 646*s - 50*s**2 + 16 - 5*s**2 - 648*s wrt s.\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1520200 (base 6) to base 5\nAnswer: 10310300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3142 - -113?\nAnswer: -3026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33650, -67449, -101248?\nAnswer: -135047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1319*r**2 + 225*r**2 + 1329*r**2 - 611*r**2.\nAnswer: 2262*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 6\/5*u + 0 - 16\/5*u**2 - 6\/5*u**3 = 0.\nAnswer: -3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 863963567 to the nearest integer?\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -173, -124, -67, -2?\n\"Answer: 4*g**2 + 37*g - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69325*s + 69343*s = 28458. Does 38 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/5766 and -13\/1860.\nAnswer: 57660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -65 + 0 + -22 + 22. Let r = 70 + k. Suppose -j = 3*h - 239, -r*h + 492 = 2*j - 6*h. What are the prime factors of j?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 14. Let v be 67\/(-4) - (-4)\/(-16). Let z be h(v). Solve -3 = z*k - 0*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1884 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 16. Let v(k) = -4*k**3 + 3 - 2 - k + 3*k + k**s. Calculate the remainder when v(-2) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v. Let u(y) = 2*y**2 - 568*y + 17 + 1133*y - 567*y. Calculate p(u(w)).\nAnswer: 4*w**2 - 4*w + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4222 is divided by 418.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 i, and 1 a when three letters picked without replacement from yivdawvyvdyv.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -193929678 divided by 18\nAnswer: -10773871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4443 + 742. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1078*a**6*l + 50*a**4*l**3 + a**2*l**3 + 421*a**2*l**2 - 3*a**2*l + 2*a**2 - 3 wrt a?\nAnswer: 129360*a**3*l + 1200*a*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-9))\/m**(1\/5))**(-34) assuming m is positive.\nAnswer: m**(-1666\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 90206\/6 - (-505)\/303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 306, 98, -644, -1932, -3778, -6194?\nAnswer: -9192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24492541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - 3*w + 3*w)*(2 - 2 + w) + 3 + 2*w**4 - 3*w**2 - 3 + (0*w**4 - 2*w**4 + w**4)*(13 + 2 - 2).\nAnswer: -10*w**4 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 217*y + 4. Let p(b) = -b. What is p(r(q))?\nAnswer: -217*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/3)\/(-76))\/(21\/(-504)*-12)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1289682438?\nAnswer: 2, 3, 11, 587, 33289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, w: 1, n: 1, z: 3, a: 1, p: 2}. Give prob of picking 1 z, 1 w, and 1 a.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*l + 14*l + 2331. Let t = 17 + -44. Let i be (-2)\/(-9) - 183\/t. What is the highest common factor of l and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23180400 to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 1:10 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/17 in -0.5, 11.9, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/505549 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -5 - 1 - (66 + -74).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 65 = -3*f, 12*p - 4*f + 300 = 16*p. Let a = p - 74. Calculate the greatest common factor of a and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, y: 1, r: 1, d: 4}. What is prob of picking 1 y, 2 n, and 1 r?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*w - 15 = 141 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -37350000 rounded to the nearest one million?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 9\/3 + -1. Suppose 2*n + t - 3 = 0, -2*p + n + 3 = 0. Solve -j + p = -0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -279 + 124*y + 274 + 5*y in the form p*y + l and give p.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s - 6. Let g be (-8*233\/2)\/(-4). Let n = g + -234. Let f = 11 + -9. Let t(w) = -1. Determine f*t(z) + n*d(z).\nAnswer: 2*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 381 divide 17907?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4 = -3*m. Suppose -q - 4 = -3*q. Let k = q - m. Solve k = 6*x - 3*x - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((6\/4)\/(36\/(-192)))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17169559, 34339168, 51508777, 68678386, 85847995, 103017604?\nAnswer: 120187213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -0.0465.\nAnswer: -0.9535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 549501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -636*x**3 - 285*x**3 - 4339*x**3.\nAnswer: -5260*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 3*g + 0*g)*(-150 - 3*g + 151 + 2*g - 4*g**3)*(-14*g + 11*g - 18*g).\nAnswer: 84*g**5 + 21*g**3 - 21*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344 = -14*z + 342. Let v be 1 + (z\/7)\/7. Solve 2*x = -2*c + 16, -28 = -0*x - 5*x - v*c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*s + 149 + 35 + 592 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*(sqrt(1216) - (-2 + sqrt(1216))))**2*1.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**15)*y*y*y**(2\/5)*y)\/(y**(2\/7)*y**(-4\/9)) assuming y is positive.\nAnswer: y**(-3604\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 766, 769, 776, 787, 802, 821?\n\"Answer: 2*x**2 - 3*x + 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1983, 348, 2673, 4986, 7281, 9552, 11793, 13998?\n\"Answer: -p**3 + 3*p**2 + 2329*p - 4314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 131.895715 to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92 - 90. Solve 6 = -f - u + p*u, -8 = -4*u for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 + (43 - (-14 - -42))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.5 (b) -2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -245, -15, 5\/2, -263\/3, 5 in increasing order.\nAnswer: -245, -263\/3, -15, 5\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/222585 and -47\/171.\nAnswer: 667755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = 97 - 89. What are the prime factors of (-79 + 81)\/(z\/(-765))?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3 - b**2 - 12*b + 13*b - b**3 + 11*b + 10*b. What is o(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.453 - 27553.\nAnswer: -27555.453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 129*h - 14. Let z(a) = 43*a - 5. Calculate 6*b(o) - 17*z(o).\nAnswer: 43*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - b. Let f be t(2). Let i(n) = -n**3 + 3*n**2 - n + 3. Let q be i(3). Suppose 3*d = f - q. Solve -d = -k + 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 1\/22, -13, 4, -3, -4?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 10:18 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 3\/2110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*i - 9 + 288 = 0, 2*p - 258 = -2*i. Suppose 5*j + 38 + p = 0. Let f = j + 89. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39592 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 23. Solve j + 3 = -i*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 2*d + 12 + 39.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 258268 to the nearest one thousand.\nAnswer: 258000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -959, 0, -2, -0.15.\nAnswer: -959, -2, -0.15, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.24495 micrometers in millimeters?\nAnswer: 0.07724495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -815*a**3 - 3*a + 1185*a**2 + 1186*a**2 - 2370*a**2 + 219*a**3 as w*a + c*a**3 + u*a**2 + z and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-13)\/m**(-15)*(m**(-36)\/m)\/(m*(m\/(m**(4\/19)*m)*m*m)\/m*m*m) assuming m is positive.\nAnswer: m**(-737\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 416\/15 or -13\/173?\nAnswer: 416\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**5\/7 + 12*p**4\/7 + 6*p**3\/7 - 12*p**2\/7 - 9*p\/7 = 0 for p.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 10. Suppose 6*j - w = 3*j. Solve 8*u - f = 4*u + 11, -j*f - 1 = 4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(7280486\/(-18201190) + (-8)\/(-20)). Suppose -6*t = -22420238 + u. Round t to the nearest one hundred thousand.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - t - 4. Let a be k(3). Let q(m) = -2*m**3 + 69*m**2 + 351*m + 4. Let d be q(39). Solve -a*u = -4*u - d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/2811468 and 63\/681568.\nAnswer: 22491744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6581?\nAnswer: 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23927 divided by 337?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 13*w**4\/8 + 35*w**3\/6 + 4*w**2 - 3. What is the units digit of p(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + y - 4 = -3*b, 2*b = 16*y - 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -859*p - 9399 + 15083 = -20144 - 7673 for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102 + 147. Let k = r - 253. Which is the closest to -1\/2? (a) k (b) -2\/9 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885868969 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -3. Let w = a + 15. Let c = -10 - -14. Solve x = c*x - w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112123310 (base 4) to base 16\nAnswer: -166f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -52, 0, 8, 3\/32?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -0.4, 3, -1\/99, 2, -2\/29 in increasing order.\nAnswer: -0.4, -2\/29, -1\/99, 2, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 2\/7, 1.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 2*g = 0. Suppose g*i = 3*i - 6. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*t + 23*t = 36*t - 206. Let l(v) = -v**2 + 6*v - 7. Let h be l(5). Let s be h*(-6)\/(-4)*1. Sort 4, t, s.\nAnswer: s, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 - 8*k - 38. Let y(m) = 3*m**2 + 12*m + 57. Let v(q) = 7*x(q) + 5*y(q). Let d(o) be the first derivative of v(o). Give d(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 35, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12353 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -1\/20*r**5 + 5*r**2 + 1\/60*r**6 + 0*r + 0*r**3 - 1\/12*r**4 + 0. What is f in k(f) = 0?\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, 1335, 5142, 12573, 24834, 43131, 68670, 102657?\nAnswer: 146298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -35209014, -140836065, -316881150, -563344269, -880225422, -1267524609?\n\"Answer: -35209017*a**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-2 - (5 - 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 4*t - 465, 3*t + 145 + 320 = 5*v. Let i(q) = -5*q - 4. Let n be i(-7). What is the highest common factor of v and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - (-4 + -89 + 73)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 13*z - 1030. Let y = z - -418. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 68 + 12 = 0. Let s(v) = 4*v - 53. Let f be s(9). Let q = f + x. Sort -4, q, -5 in descending order.\nAnswer: q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 + 3*v**2 + 2*v + 3. Let b be i(-2). Let t = -3 + b. Is (16\/(-6))\/(t\/12) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 79.11218ml?\nAnswer: 0.07911218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**3 - 9*k**2 - 13*k. Let g(h) = -2*h**3 - 4*h**2 - 6*h. Let a = -4 - -6. Suppose -4*y - 8 = -a*b, -y - 2 - 15 = 2*b. What is b*o(c) + 13*g(c)?\nAnswer: -2*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.3687437 to one decimal place.\nAnswer: 25.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*(sqrt(11) + 0)*5.\nAnswer: -3 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*k**2 - 4*k**2 + 3*k**2)*(0 - 1 + 4)*(-3 + 0*k + 6*k - 8*k).\nAnswer: -48*k**3 - 72*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b**3 + 4*b**2 + 2*b - 6. Give n(-3).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -17*m**7\/105 - 13*m**5\/60 - 23*m**2. Find the third derivative of g(u) wrt u.\nAnswer: -816*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65704*i**2 + 262943*i**2 - 65745*i**2 - 65731*i**2 - 65745*i**2.\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 s, 1 a, and 1 n when four letters picked without replacement from {a: 1, g: 1, w: 1, s: 1, n: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, t: 17}. Give prob of picking 3 t.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116 and 69332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and 0.3?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1699 divided by 686?\nAnswer: -1699\/686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 4:18 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*r - 19 = 0, 4*r - 32 = -0*j - 4*j. Sort j, 2, 0 in descending order.\nAnswer: j, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*(t\/t**11)\/t)\/t**(-1\/9))\/(t**(-3\/5)\/t*t*(t**5\/t)\/t))**35)**40 assuming t is positive.\nAnswer: t**(-154840\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1755645, -3511287, -5266929?\nAnswer: -7022571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/15 and 77\/1896.\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 228647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -2*t + 2*x, 0 = -6*t + t + 2*x + 397. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 + 6 + 12)*(5*f**2 + 3*f**2 - 5*f**2 + (f**2 + 0*f**2 + f**2)*(0 + 2 - 4) - 32*f**2 + 176 - 176) to the form d + v*f + u*f**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3688)\/16*8\/(-12). Let r = g + -154. Which is the fourth smallest value? (a) r (b) 4 (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 787904, 787906, 787908, 787910, 787912, 787914?\nAnswer: 787916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 23. Suppose -2*n - f + 25 = 0, -2*f - 20 = v*n - 4*n. Calculate the remainder when 38 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8198669749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from hhhhhohhhohohhnooh.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g**3 - 5*g**2 - 7. What is the remainder when m(3) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3 = 2*i, m - 39 = -4*i + 2*m. What is the smallest common multiple of i and 131\/4 + ((-38)\/8 - -5)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 57 - 45. Suppose 0 = -5*x + 2*t + 5954, 5*x - h*t - 5948 = t. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52\/15 - 19\/5. Let w = -177.3 - -176. Let x = -0.9 - w. Which is the nearest to 0.4? (a) 2 (b) x (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 - -0.52. Let l = -10 - 0. What is the third biggest value in -0.4, w, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5571096 + -5?\nAnswer: 5571091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 12 = -3*j, -1 = -y - j - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.078 times -0.026\nAnswer: 0.002028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5010?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4631 and 871470?\nAnswer: 9586170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100111100 - 11?\nAnswer: -1100111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-286) + 10\/(-104).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -4 - 32*t**2 + 8*t**3 + 1\/20*t**5 + 6*t - t**4. Let f(o) be the first derivative of p(o). Let f(n) = 0. What is n?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/3084 and 67\/3304.\nAnswer: 2547384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/8*(-3)\/(60\/32). Suppose -h*s + 6 = -3*s. Suppose 0 = s*o - 11*o. Solve 2*a = -o*y - 5*y + 16, 0 = -4*y + 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 146 = b - 29, -3*b - k + 518 = 0. Suppose -b = -7*z + 9. Suppose -21 = 7*f - 112. Calculate the highest common divisor of f and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 3*p**4\/4 - 3*p**3 + 3*p**2 + 11. Find k such that z(k) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**2 + 2*s - 7*s**2 + 3*s**2 - 3*s. Let l be r(1). Suppose l = -2*j + j + 13. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*3\/27*48.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -50*h**3 - 10*h**2 - 4*h + 5. Is l(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 2.56698.\nAnswer: 1.28349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 2*n = 10, 2*n = 2*b - 3*n - 25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 10 + 9)*(-6 + 7*j + 6)*(5 - 3 - 3).\nAnswer: -56*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 2, 10, -1\/10, 1\/2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10945 - -1592?\nAnswer: -9353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 197.409*403.\nAnswer: 79555.827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 270 + -94. Calculate the remainder when b is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.2 + -3.6. What is the closest to 0.2 in 0, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 614596675 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c. Let g = -121 + 197. Let l = 78 - g. Let j(h) = -2*h**l - 5*h**2 + 4*h**2 + 2*h**2. Give z(j(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/(s**20*s)))\/s)**11 assuming s is positive.\nAnswer: s**209","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 3*a - a - 6, -5*a = -4*h - 21 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 1. Let o = 6 - v. Suppose -o - 33 = -4*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29895287*u**4 - 13316028 wrt u.\nAnswer: 119581148*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -147*h**2 + 3839 + 22*h**2 - 1123*h**2 - 108*h**2 + 788 wrt h?\nAnswer: -2712*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 - 6*k**2. Let i be f(3). Solve 0 = -i*l + 2*l + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000122034691 rounded to 7 decimal places?\nAnswer: -0.000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/3)\/(8\/12). Solve 4*i + 5*l + 6 - 18 = 0, -g*l + 8 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1 - -5 - 7 - 0 - 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 24*x**3 + 9*x. Let u(d) = -6*d**3 - 2*d. Calculate -4*a(t) - 18*u(t).\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 10 = 8*l. Let m be ((-22)\/(-3) + -4)\/((-2)\/l). Is (m + 7)\/((-1)\/17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54352896629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104200333 + -2303?\nAnswer: -104203141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/90 - (107\/45 - 3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v = -9, -z + v - 1 = 0. Let a = 1 + z. Suppose -3*d + a + 3 = 0. Solve 0 = -4*x + d + 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -0.03, 8\/9, -1\/53, 0.5 in decreasing order.\nAnswer: 8\/9, 0.5, 1\/7, -1\/53, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2051 divided by -194154\nAnswer: 2051\/194154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -2 + sqrt(153) + 2)**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 563 = -d, -4*d - 5*c + 629 = -1640. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, 2, -520, -1, 137 in decreasing order.\nAnswer: 137, 2, -1, -113, -520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*s - 186 = 0, 97*b = 98*b - 2*s - 62. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, w: 7, e: 1, b: 3}. What is prob of picking 2 b and 2 s?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 208\/3*j + 160\/3 - 206\/3*j**3 - 110\/3*j**2 - 50\/3*j**4 - 2\/3*j**5 = 0. What is j?\nAnswer: -20, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + -7 - (-2 + 2). Let g be 42 + 1*(q + 6). Suppose 2*h + 3*h = g. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(18) + 1*sqrt(18)) - (sqrt(648) + -2*sqrt(648)))\/(sqrt(36)*3*-2).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4 + 3980*f**3 + 4*f**2 - 3980*f.\nAnswer: -4*f*(f - 995)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 18*(253\/22)\/(-23)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w - 2*w - 12*w - w + 4*w - 2*w + (0 + 1 + 1)*(w + 0*w + 0*w).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b - 3*b**2 + 15*b - 23*b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-one fifths of a litre?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8318.69g to micrograms.\nAnswer: 8318690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 4872.\nAnswer: 4870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29893967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-9)*36\/315)\/2.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 22*t**2 - 50*t + 44. Let l be s(24). Let p(n) = 23*n**2 - n + 6. What is the units digit of p(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z - 2*x - 22 = 0, 5*z - 26 = 2*x. Suppose -4*w = 5*o - 36, z*w - 4 = 4*o - w. Suppose -5*f = -o*f - 35. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 100*u**3 + 4 + 134*u**3 - 235*u**3 + 5*u**2. Calculate s(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 + (0 + (6 - -27 - 21) - 28).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -39, -33, -25, -15, -3, 11?\n\"Answer: n**2 + 3*n - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/12? (a) 1\/4 (b) -8 (c) 1\/3 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 246, 237, 224, 207, 186?\n\"Answer: -2*x**2 - 3*x + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-56 + (-53 - -74))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 283\/8 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, b: 2, i: 4, w: 1, d: 3}. What is prob of sequence drwb?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from {f: 11, o: 1, c: 2, u: 2}?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*o - 51948 = o. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a - 10. Determine l(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a minute?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001816 rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -273153.9 and -605.0284.\nAnswer: -273758.9284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*l = -11*l - 214875. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 + 87*t**2 + 131*t + 207. Let y be s(-42). Let v(m) = -114*m**3 + 16*m. Let a(n) = -23*n**3 + 3*n. Determine y*v(z) + 16*a(z).\nAnswer: -26*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -44276, -44275, -44274, -44273, -44272?\n\"Answer: h - 44277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 99210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68 + 21 - 3*r + 32 to t + w*r and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (236253 - 617*l - 236253)*(2*l + 0*l - 3*l)*(-3*l + 5*l + 0*l) to u*l + d*l**3 + q*l**2 + i and give d.\nAnswer: 1234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*c = 2*c + 438, -848 = -4*n + 5*c. Let x = -92 + n. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50248091537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**2 - 127864*q + 2043650312 = 0.\nAnswer: 31966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52296994 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three fifths of a microsecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311553608?\nAnswer: 2, 38944201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37031169089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 92*k - 91*k - 2477. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**6\/3 - 4*s**5\/5 - s**4\/2 + 4*s**3\/3 - 66. Find h such that n(h) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 384, 383, 382, 381, 380?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 5. Suppose w - 62 + 12 = 4*j, -4 = 2*w. Let r = j - -8. Let d be m(r). Solve 2*x = -d*x + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 1632*r**3 + 3853*r**3 + r + 3420*r**3.\nAnswer: 5641*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 + 53 + -28 - 38?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 4:29 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8414680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1\/4, -2, 1\/2 in decreasing order.\nAnswer: 1\/2, -1\/4, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -i - 126, -5*f - 43 = 5*i + 67. Find the common denominator of 18 and (3\/(-2))\/((-7)\/f).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.9 - 3. Let z = 0 - t. Suppose -277*f + 271*f = 12. Which is the nearest to f? (a) z (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 - 9*y. Let i(m) = m**2 + 4*m - 2. Let r(h) = -h**2 + 1. Let g(s) = i(s) + 2*r(s). Let c(l) = 4*f(l) + 9*g(l). Let p(j) = -j. What is c(p(o))?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 d when four letters picked without replacement from gggggdgggd?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 4*r**2 + 5*r - 1. Let m be q(5). Let u = m + -1. Let w = -1662 + 1662.4. What is the smallest value in u, 3, 5, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 145*z**2 - 255*z - 248. What is d(-1)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**2 + 18*k - 58. Calculate m(5).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + i**2 - 2*i - 2. Let u be y(-3). Let g = -7 - u. Let x(h) = 15*h - 564. Calculate the remainder when g is divided by x(38).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*x + 3*f + 14 = 36*x, 0 = -x - 5*f - 18 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.4 (b) 17 (c) -7\/2 (d) -20\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*(sqrt(3168)*1)\/sqrt(2))**2*-3.\nAnswer: -4753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 299 + -5332?\nAnswer: -5033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.8? (a) 4\/31 (b) 6\/7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -220, -288, -354, -418, -480?\nAnswer: -540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*s**3 + 268*s**3 - 1226 + 1226.\nAnswer: 361*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**2 - 9. Let q(c) = -3*c**2 + 9. Determine 5*h(l) + 6*q(l).\nAnswer: 2*l**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 21*z**2 + 21*z + 18. What is f(22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14422 and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21110212 (base 3) in base 15?\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41614 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-110)\/(-77) + (-8)\/(-14). Solve -i*x + 11 = -k + x, 0 = -5*k + 4*x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205.3758 decades to months.\nAnswer: 24645.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-20706)\/1015 - (-19 - 1)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 97 + -66. Calculate the remainder when o is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49017832 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1095 is divided by 1087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120212 (base 3) to base 16.\nAnswer: -485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2146*g - 56444 - 20812 for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5817, 23269, 52357, 93081, 145441, 209437, 285069?\nAnswer: 372337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24 + 8345b3?\nAnswer: 83458b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 79661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-38)\/(-114)*(-18)\/(-4). Let r = -13\/6 + c. Let a = -13 + 25\/2. What is the closest to 1 in -3, r, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k + 13 + 23. Suppose -3*h = k*g - 6*g - 21, 3*h - 9 = -2*g. Solve -h*j - m - 24 = 0, 2*j - 4*m = -3*m - 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.839007 seconds?\nAnswer: 839.007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 169, 126, 55, -44, -171, -326?\n\"Answer: -14*s**2 - s + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2223 - -21323250?\nAnswer: 21325513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 take away -0.047107780348?\nAnswer: 0.087107780348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3344\/3121?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 291972?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 0 - 23*l**2 - 1\/3*l**4 + 0*l + 0*l**3. Determine u(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -15*q - 8. Let f be w(-1). Suppose 43 = 10*s - f. Let h(k) = -5. Let x(u) = -u - 6. Calculate s*h(b) - 4*x(b).\nAnswer: 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -182 divided by 1?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + 1 + sqrt(117) + -2*sqrt(13)*-3 - (2 + 0 + sqrt(1872))) + 5)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 17 (b) 0.3 (c) -1\/4 (d) 2\/3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 767\/78)*6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/6)\/(35030\/31527)*20\/(-6)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5802 = 224. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-4))\/((-24)\/(-6))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1756 - 1146. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 220.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-2)*2\/(-14). What is the smallest value in k, -2\/11, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 630511442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 766*m + 1405*m + 54 - 59 - 396*m.\nAnswer: 1775*m - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3 + 28*f**2 - 64*f + 197. Calculate n(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -40. Suppose 4*i - 5*y = -1701, 3*i = -2*i - 4*y - 2116. Calculate the remainder when m is divided by 8\/36 + i\/(-36).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 186*k**3 - 36*k**2 + 216*k + 12. Let m(p) = -3*p**2 - p + 1. Let w(z) = -12*m(z) + n(z). Find the second derivative of w(o) wrt o.\nAnswer: 1116*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1554908573 to the power of 1\/2, to the nearest integer?\nAnswer: 39432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1125 (base 6) to base 3\nAnswer: -100222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/2920 and 149\/473040.\nAnswer: 473040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12*(-7)\/35*-115. Suppose -2*r - 5*z + 21 = 0, 4 + 16 = -4*z. Calculate the highest common divisor of r and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Let z = -45 + 63. Suppose m - z = -2*w, m + 2*w - 4*w = 10. Solve 0 = 3*g + 5*x - 14, 0*g - m = -4*g - r*x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -28573351?\nAnswer: -6\/28573351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 348766.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 665, 2554, 5679, 10034, 15613, 22410, 30419, 39634?\n\"Answer: -y**3 + 624*y**2 + 24*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - 4*b + 4. Let q be i(3). Suppose f - 2*n = -5, 3*f + 0*f = 5*n - q. Suppose -14 - 1 = -f*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(3) + 5 + sqrt(11) - (-3*sqrt(11)*2 + sqrt(11))) + 0 + (sqrt(176) + 1 + -5 - sqrt(176))**2.\nAnswer: 21 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (3 + (-206)\/70)\/(450\/11250)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p + 26. Let w be t(-8). Suppose -3*m = -m + 5*x + w, -5*x - 6 = m. Calculate the least common multiple of 5 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 61928.4 milliseconds?\nAnswer: 61928400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14069279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 110*x. Let t(g) = 103982*g**2. What is t(r(o))?\nAnswer: 1258182200*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 11*w**3 + w**2 + 3*w - 14. Let q(k) = 53*k**3 + 7*k**2 + 14*k - 69. Let h(m) = -29*l(m) + 6*q(m). What is h(13)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -7184086.355 to the nearest 10000.\nAnswer: -7180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 + -0.14. Let u = -2.3 - -32.1. Let r = 28.8 - u. Which is the closest to r? (a) 0.1 (b) -2\/9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + o**2 - 3*o**2)*(-302 + 202 + 169).\nAnswer: -69*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*u + 358*u**2 - 20*u + 40*u as f + q*u**2 + v*u and give q.\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9296 divided by 74\nAnswer: -4648\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + (-6)\/(-8))\/(17\/(-68)). What is the hundreds digit of ((-126)\/28)\/(k\/82)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 0*d + 13*d**2.\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 - 78. Let j = u + 33. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z - 1. Let m be s(1). Let r be ((-15)\/(-6))\/((-5)\/m). Let j be (r + 0 - 1)*4. Solve 0 = j*x - 5*i - 13, -x - 3 = -5*x - 5*i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46420*h - 46420*h + 3038*h**3.\nAnswer: 3038*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvdiu. Give prob of sequence du.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2129.382s to milliseconds.\nAnswer: 2129382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 10*l + 852 = 7*l, l - 1432 = -5*q. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**3 + 1790*d**2 - 9055*d + 7260 = 0 for d.\nAnswer: -363, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -43*d**3 - 5*d**2 + 28*d + 6. Let s(r) = -23*r**3 - 3*r**2 + 16*r + 3. Calculate -11*s(v) + 6*u(v).\nAnswer: -5*v**3 + 3*v**2 - 8*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-144)*(-24)\/(-20)*5\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 3. Suppose 2*y = -2*p - 2*y + 14, 0 = -y + 2. Let l be a(p). Let t be 5\/(1 + l + 0). Solve 0*n = t*n + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {t: 14, k: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92135 = -5*h + 5*r, 55279 = 2*h + h - 2*r. Suppose 5*n - h - 18550 = 5*c, -3*n - 22215 = 3*c. Round c to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**2*p**3 - 5*m**2 - 4750814*m*p**3 + 171*m*p - 3*p**3 - 8*p**2 + 3*p - 628 wrt p?\nAnswer: -12*m**2 - 28504884*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -46? (a) -2\/29 (b) -4 (c) 4 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.2, 0, 1, -26711, -0.053?\nAnswer: -26711","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 940 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-2\/7))\/(u**(1\/21)*u)*u**(-1\/6)\/u**1)**(-26\/7) assuming u is positive.\nAnswer: u**(13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 4 - 26*m**2 + 23*m**3 + 23*m**2 - 1 to the form w*m**3 + r*m + i*m**2 + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -8*f**3 + 29*f**2 - 10*f - 35. Calculate b(5).\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p + 8*p - 3*p + (2*p + 2*p - 2*p)*(-3 + 1 + 3) to the form v + o*p and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 3)*(x - 6*x + 3*x) - 2*x - 4*x + 5*x + (2*x - 2*x - x)*(27 - 145 + 4) in the form v + j*x and give j.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 4*p**2 + 3. Let j be i(-4). Let r(o) = -o**3 + o**2. Let g(m) = 3*m**3 - 4*m**2 - 5*m + 2. Let u(q) = g(q) + 2*r(q). Give u(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/272 and (6 + 9\/54)\/(-2).\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = r - 2*r - 355, 285 = 4*f - r. Suppose 37*w + 194 - 1230 = 0. Calculate the highest common factor of f and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3126 - 3123. Solve 5*w = -2*k - 4, -3*k = -h*w - 5*k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63*(-312)\/278208*(-2)\/13?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102507 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 719734043*m**3 + 1245929822*m wrt m.\nAnswer: 4318404258*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6897)*-3 + sqrt(6897))\/(-3*sqrt(432)) - (-1 + 1 + sqrt(1216) + 1 + 3)**2.\nAnswer: -1232 - 1141*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1\/5, 76.12, 2\/9, 9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1 (b) 0.34 (c) -17 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2083 + 852 = 5*m. Let z be m*(6\/15)\/2. Let v = -118 + z. Which is the smallest value? (a) -1 (b) -0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 13. Let n be 14999 - (r - 2 - 1). What is n rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from {s: 1, w: 1, j: 1, f: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(2\/15))\/(g\/((g\/(g*g\/(g**(6\/5)\/g)))\/g)))\/(g\/g**(-2\/7))**(-43\/2) assuming g is positive.\nAnswer: g**(5399\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 308761647, 617523300, 926284953, 1235046606, 1543808259?\nAnswer: 1852569912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4519 - 94876\/21. Let f = 1377535\/58 - 3139409\/696. Let t = f - 19236. Find the common denominator of t and b.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104470406*k*p**3 - 20537*k*p**2 - 11*k - 98*p wrt p.\nAnswer: -626822436*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 11 + -3 + 0 + (-5 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-214)\/(-690) + 24\/(-40). Let q = -1\/23 + x. What is the smallest value in -4, -5, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121102210022 (base 3) to base 8.\nAnswer: 1167702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 - 9*g + 14. Give k(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 513585, 1027179, 1540777, 2054379, 2567985, 3081595, 3595209?\nAnswer: 4108827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -19*30\/(-855) - 10\/(-3)*109. What is the highest common factor of 1508 and g?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 16\/128 - (-26922)\/48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 2:31 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37607 - 37578. Let f(p) = -18*p + 529. Calculate f(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*i**2 + 8 + 74*i**2 - 36*i**2 - 4*i as r*i**2 + p*i + y and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*z, -214*z + 218*z + 18 = 6*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -219 divided by -2676?\nAnswer: 73\/892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -145b25 - -3?\nAnswer: -145b22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -14.1. Let u = -7413 + 7413.4. Sort 12, u, y.\nAnswer: y, u, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4442 - 2?\nAnswer: -4444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 12*q + 9. Let w be u(-11). Suppose 3*x - h = 36, -5*x = -5*h - 63 + 13. Let l = x - w. What is the remainder when 27 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 90.\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 1\/2, -7, -0.8 in descending order.\nAnswer: 2, 1\/2, 0, -0.8, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 11, n: 2, s: 1, k: 2}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4\/3 + 4*p**3\/3 - 118*p**2\/3 - 40*p + 600.\nAnswer: 2*(p - 5)**2*(p + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -21. Let u be 12\/30 - (q + 1). Is u != 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*q + 184 + q - 1386*q**2 - 404*q - 174 = 0 for q.\nAnswer: -2\/7, 5\/198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -726, -5, 1.5, 0.4?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4\/7 - 2546*t**3\/7 - 1079086*t**2\/7 - 151909390*t\/7 + 152991024\/7 = 0.\nAnswer: -433, -408, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten sevenths of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -104? (a) -17 (b) 0.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -254 (b) -9 (c) 3 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - 0 - (2 - 19). Let a = z + -10. Suppose w + a*w - 85 = 0. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(34)\/sqrt(2)*-5)**2*5 + 3.\nAnswer: 2127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 - 3234?\nAnswer: -3304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 14*u**2 + 4*u - 1. Let m be x(2). Let d be (1 - 28)\/((-51)\/34). What is the highest common divisor of d and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sslslss. What is prob of picking 2 l and 2 s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llgl when four letters picked without replacement from gllggglglllgl?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 66 = -0*h. Suppose -2*w = -0*w + 4*u - h, 3*w = u + 19. Let n(k) = 0 - 3 + w*k**2 + 1 - k**3. Determine n(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m = 4, 0 = 5*f + 2*m - 947. Let n = -186 + f. What is the closest to n in 2\/7, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 3*v**2 + 5. Let l(n) = -2*n. Let d(c) = 8*l(c) + 3*r(c). Let u(w) = 7*w. Give u(d(t)).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*p + (p + 0 + 0)*(5 + 3 - 4))*(17 - 17 + 15*p) to h + v*p**2 + w*p and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -3\/4, -0.0225, 2.5?\nAnswer: -0.0225","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -12, -24, -40?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8918 = 24*y - 12730. List the prime factors of y.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 4*j. Let n be i(6). Suppose n = -4*k + 6*k. Let r be 39\/9 + 11\/(-33). Which is smaller: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.067 + 34.067. Let c = 34.000098 - h. Round c to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207058 is divided by 138.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (463491\/28)\/((-3)\/(-12)) - -8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(243) + 0)**2 - (0 + sqrt(243) + 3)**2.\nAnswer: -54*sqrt(3) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6851 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 257 (base 8) to base 7.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 3696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07814 rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -k - 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d = 5 + 31. Suppose -8 = -5*b + b. Let q(f) = f**2 - 6*f + 5. Let v be q(6). Put v, b, d in decreasing order.\nAnswer: v, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0 (c) -4 (d) 411 (e) -3\/5 (f) 3209\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**3 - 5*f + 8*f**2 + 2*f**3 - 2 - 3*f + 3*f as h*f**3 + d*f**2 + t*f + z and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 9060475?\nAnswer: 3624190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 5:27 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 13*p + 40. Let y be u(9). Suppose -2*o - 76 = -y*s, -s + 2*o + 4 = -12. Calculate the greatest common factor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/39 in -3, 174, 1\/3, -0.1, 6\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 42 = -0*h. Calculate the remainder when 104 is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 8:15 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 2:36 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 17, q: 3}. What is prob of sequence qrrq?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 3605\/1682 and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/3*45\/(-10). Solve 3*k - 12 = -3*m, -5*m + 3*k = i + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 303195?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 60\/14 - 6\/21. Let -u**2 + 4 + u - z = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 19*z**6\/24 + 21*z**5\/20 + z**3\/6 + z**2 - 20. What is the third derivative of v(m) wrt m?\nAnswer: 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432329357 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 902\/198 - 12\/(-27).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 15 = 23 + 2 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(5) + sqrt(180)) - 6*((sqrt(30)\/sqrt(6))**2 + sqrt(5)).\nAnswer: -30 - 41*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -25048 - 3037*q + 25043 + 709*q in the form p + z*q and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 4. Let q(n) = -n**2 - 3. Let g(a) = -4*q(a) + 3*w(a). Let y(f) be the first derivative of -11\/3*f**3 + 0*f + 0*f**2 - 1. What is g(y(v))?\nAnswer: 121*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 534973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 0)\/((-1)\/3). Let w(k) = -3*k - 9. Let o be w(-4). Let a be (o\/6*16)\/2. Which is bigger: c or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.7 - -16.7. What is the biggest value in q, -0.02, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 5:13 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 38. Let x(o) = 4*o + 113. Let t(n) = 3*x(n) - 8*z(n). Let v be t(-17). Let q = -16 - v. Calculate the greatest common factor of 51 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 31286.34447 + -31412.345. Let g = 126 + c. What is g rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2489 (b) -0.2 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -5*v - 104, -v - 4*b - 2635 = 2*v - 0*v + b - 2543 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2910 (base 13) in base 12?\nAnswer: -3520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 997 - -1160. Suppose 2164*y - z*y - 6958 = 0. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194, -361, -526, -689, -850, -1009?\nAnswer: -1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-224)\/20)*6\/(-10)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/58485 and -54\/1150205?\nAnswer: 3450615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*q + 383902 = -27*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 25*b**2 + 150 - 65*b - 29*b**2.\nAnswer: -5*(b - 2)*(b + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 2*a - 4*a)*(a - a - 2*a**2) + 0*a - 3*a**3 + 0*a - 1050*a + 1050*a - 302*a**3.\nAnswer: -301*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53562073 rounded to three decimal places?\nAnswer: -0.536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 80*u**2 - 651*u - 109. Determine d(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5651 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*m = -1266, -a + 2*m = -m - 635. Is 39 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 830693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 0, -1, -2 in descending order.\nAnswer: 5, 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 11250*l**5\/7 + 1514600*l**4\/7 - 572702*l**3\/7 - 1674948*l**2\/7 + 117000*l - 97200\/7 = 0. What is l?\nAnswer: -135, -10\/9, 6\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 983, 899, 759, 563, 311?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 355831*x**2 - 1145331*x?\nAnswer: 711662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2. Let q(d) = -d**2 + 9*d - 9. Let i be q(7). Suppose i - 2 = 5*u - 3*r, 29 = 3*u + 5*r. Calculate v(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-2*h + 1 - 1) + (-112 + 5*h + 112)*(0 - 4 + 3 - 8 + 6 + 21 + (0 - 1 + 2)*(-2 + 0 + 4) - 5 + 1 + 3).\nAnswer: 93*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -12787580982.\nAnswer: -12787580978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-60)\/144*4\/(-5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2535184 to 2 decimal places.\nAnswer: -1.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2510*d + 2506*d. Let n be ((-2)\/(-2))\/((-19)\/2). Are d and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26543.\nAnswer: 11, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ab - -c61?\nAnswer: b94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1315 - -0.0315. What is the biggest value in j, 1\/4, 0.28, -4?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (300489*y**2 + 471*y**5 - 300488*y**2 + 712*y**5)*(-1 + 2 + 1).\nAnswer: 2366*y**5 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 1:06 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 873.02 + -873. Which is the nearest to 1? (a) 1 (b) 3 (c) 2 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 90538470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44175*k + 43850*k + 7800 = 0 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(170))\/sqrt(5) + sqrt(306)\/sqrt(81))\/(2*sqrt(128) + 1*sqrt(8)\/sqrt(4)).\nAnswer: -5*sqrt(17)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 189 = 11*b. What is the remainder when 216 is divided by b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22524 + 23?\nAnswer: 22550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 17 = -4*s, 7 = 3*b + 4*s + 20. What is the second smallest value in -13, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i + i**3 + 10 - 4*i - 9*i**2 + i. Let g be j(9). Solve -5*y - 4 = g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 5*f + 10, -4 - 4 = -3*n + f. Suppose -2*g = 5*y - 8, -2*g - n*y + 7 = -9. What is the least common multiple of 1\/2 + 91\/g and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**4\/6 - l**3\/6 - l**2\/2 - l. Let x(j) = 8*j + 47. Let g be x(-6). Determine v(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 760728 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-54))\/((-2702)\/11580)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42503.81l to millilitres.\nAnswer: 42503810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*i - 4*w + 19 = 0, w + 5 = 2*i. Suppose 6*q + i*q = 135. Solve j + 4*p = q, -5*j - 2*p = -2*j + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.986 to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 7:04 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2563 + -2563.4. What is the closest to 0.1 in l, -1\/3, -2\/3, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8876 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 746 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7679.\nAnswer: 7, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -2*i**3\/3 + 3. Suppose 2 = 2*r - 3*r, 0 = 2*o + 3*r + 2. Let t(f) = -10*f + 10*f + 11*f**2 + 16*f**o. Calculate t(j(n)).\nAnswer: 108*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 30*t + 20 = -34*t, -2*t - 10 = 5*o. Solve o = -d + 121 - 122 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50\/107 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 9*n**2 - 10*n - 33. Let t be j(7). Sort -7, -23, 0, t in decreasing order.\nAnswer: 0, t, -7, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 12*l - 42 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7*b - 6\/7*b**4 - 2\/7*b**5 - 4\/7*b**3 + 4\/7*b**2 + 2\/7.\nAnswer: -2*(b - 1)*(b + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 23*x**4\/6 - 11*x**3\/6 + 51*x**2. Calculate the remainder when z(1) is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-5)*-4*50\/(-20). Factor 5 - 5 + 514*b**2 - 509*b**s + 5*b.\nAnswer: 5*b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1cb (base 16) to base 9\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521966298.\nAnswer: 2, 3, 7, 71, 175039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = s + 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 13*j + 1. Let b(z) = -3*z**2 - 27*z - 1. Let v(f) = 2*b(f) + 5*m(f). List the prime factors of v(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5200 - -9364. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38218712?\nAnswer: 2, 7, 73, 9349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 2*u**6\/3 - 4*u**5 + 8*u**4 - 16*u**3\/3 - 230. Solve v(r) = 0 for r.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1194 times 0.256\nAnswer: 305.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*v + 344 = 0. Suppose -84*u - 78 = -v*u. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 3*r + 177, -r - 106 + 47 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 12:42 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-6 - -16)) + 9 + 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -476 divided by 68.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, 0.2, -3, 0.3 in decreasing order.\nAnswer: 81, 0.3, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 - 5\/((-5)\/3). Suppose -3*j - z = -0*j + 4*k, 4*k = -16. Solve -j*a + 5 - 3 = 4*r, 3*r - 7 = 4*a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/750)\/(1*(-3)\/(-6))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396 = -17*h + 29 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 61?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 27*t**2 + 93*t + 86. List the prime factors of d(29).\nAnswer: 5, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 94491 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - h - 55600 - 2456 = 0, 0 = 5*w + 5*h - 96720. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 47.53537s?\nAnswer: 47535370000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, t: 4, p: 5}. What is prob of picking 2 z, 1 p, and 1 t?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20463490351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000012768 rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 11*z - 9. Determine b(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63*w**4 - 33*w**3 - w**2 - 1385*w wrt w.\nAnswer: 756*w**2 - 198*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7634, 7785, 7936, 8087?\n\"Answer: 151*o + 7483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 463*j**3 - 18*j**2 + j + 16. Let l be t(1). Solve -l = h - 67*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.1, -262, -1, 0.4.\nAnswer: -262, -1, -0.1, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2026690110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 128*f*m**2*t**3 + 2*f*m**2*t - 7*f*m*t - m**2*t**2 wrt t.\nAnswer: 768*f*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4 - 10268*p**3\/9 - 325660*p**2\/3 - 10360700*p\/3 - 6859000\/9.\nAnswer: -4*(p + 95)**3*(9*p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 2*v + 48. What is the tens digit of (-1)\/(-1) + 2*180\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 20*h**2 + 2*h + 41. Let v be y(-20). Let m(d) = 6*d**3 + 2*d - 1. Give m(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/140 and 91\/7730?\nAnswer: 108220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -13 - (14 - (0 + 33)) - (72 + 11)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 12501*t - 4. Let b = -7 + 11. Let u be r(b). What is u rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115 and 505.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40560457*b + 441055827?\nAnswer: -40560457","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 + -2124244129.89?\nAnswer: -2124244131.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 1 + 3. Let t = 25 + -13. Is 6 a factor of 2\/(b - 10\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 19. Calculate the remainder when 22 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 408 divided by 136\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**4 - 48 + 48 + 2*w**4 - w**3 + w**3 + (0 + 0 - 2*w)*(2*w**3 - w**3 - 3*w**3) - w**4 + 0*w**4 + 3*w**4 + 1 - 1 + w**4.\nAnswer: 14*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 13 + 9*o**2)*(5*o**3 - 2*o**3 - 2*o**3).\nAnswer: 9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000662524714 rounded to seven dps?\nAnswer: 0.0000663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**2 + 8*d - 158. Let w be o(10). Suppose 3*y + w = j, -j + 322 = -5*y + 3*y. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrss when four letters picked without replacement from {s: 2, f: 3, r: 3, q: 5}.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1. Let x(d) = 41*d + 61. Let f(m) = -4*w(m) + x(m). What is the derivative of f(u) wrt u?\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j + 11. Let i(r) = -5*r + 2. Let a(c) = 8*c. Let s(b) = -3*a(b) - 5*i(b). What is 3*l(k) + 4*s(k)?\nAnswer: -2*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 2\/(-30)*-18?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - a + 6*a = 36, -4*a = 0. Let c be (q\/6*6)\/(-1). Let y be (-2)\/(-4)*(-6)\/c. Which is bigger: -2\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 p when three letters picked without replacement from {p: 2, k: 2, s: 5, x: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 11. Let b be f(6). Let q = 8 - b. What is the third derivative of -q*w**2 + 9*w**2 + 8*w**2 + 11*w**6 - 2*w**6 wrt w?\nAnswer: 1080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5275, -5225, -5175, -5125, -5075?\nAnswer: -5025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1\/4)*q\/q**(1\/12))\/(((((q*q\/((q\/q**(-1))\/q))\/q)\/q)\/q)\/(q*((q*q*q**2*q)\/q)\/q)))**21 assuming q is positive.\nAnswer: q**(343\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 4:07 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 19*m - 26*m - 87 = -40*m, -73 = -h + 4*m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -119 (base 12) to base 4\nAnswer: -2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -85*w + 84*w - 4*d + 845, 0 = 2*w + 5*d - 1690. Calculate the highest common factor of w and 8957.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*w + 20, -3*w + 7*w = 2*t. Let h be (w\/(-4))\/(1\/(-4)). Suppose -3*z + 55 = -h*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6368529863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8082658, -8082655, -8082652, -8082649, -8082646, -8082643?\n\"Answer: 3*u - 8082661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -252, -471, -736, -1059, -1452, -1927?\nAnswer: -2496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 643969891 to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 6*t + 15. Let j be z(-3). Find the third derivative of -3*u**2 - 31205*u**6 + 31337*u**j + u**2 - 2*u wrt u.\nAnswer: 15840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - -9) + (40\/45 - (-8624)\/(-468))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 132759.039 - 132830. Let y = f + 71. Let w = -0.038958 + y. Round w 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 4518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x - x + 0 - 1. Let p be d(3). What is the derivative of 4*i**2 - 4*i**p + 2*i**4 - 1 wrt i?\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 5, 2, 0, -21, -159?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 130 - -4?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1300*x + 2834 = -4906 - 3960 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45880937*m*o**3 + 23*o**3 - 2173*o**2 + 3*o + 1 wrt m?\nAnswer: 45880937*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187, 1592, 4219, 8068, 13139, 19432?\nAnswer: 26947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from tffuccftft?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -449*m + 16702 - 27692 + 16378 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 5*l. Let p be -2 + 24 - 17 - (-2 + -1). Determine g(p).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10142 - 61.766\nAnswer: 10080.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 23 = -2*s, -258 = -4*s + 5*t - 319 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -341870 (base 9) to base 7.\nAnswer: -1512114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278624229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7820.\nAnswer: 2, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 6. Let o(j) = 1. Let a(w) be the third derivative of w**6\/120 - w**5\/12 + w**4\/6 - w**3\/6 + 18*w**2. Let v be a(4). Determine v*x(d) + 6*o(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 1. Let s = 14 - r. Put -4, s, 4\/3 in decreasing order.\nAnswer: 4\/3, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -254*d - 1511. Let h be z(-6). What is the greatest common divisor of 2470 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k - 2. What is the smallest common multiple of 5 and i(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f - 20. Suppose -3*k = -8*k + f*y + 1, -2*k - 5*y = 26. Does 4 divide (-11)\/(-3) + k\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5, 0*z + y = -3*z + 5. Suppose -2*d + 4 = z*d. Suppose 156 = 4*a - 3*q + 27, -d = -q. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 6*b**2 - 7*b - 6. Let d be o(-5). Suppose 2*t = d*r + 90 - 346, -2*r + 5*t + 112 = 0. List the prime factors of r.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 123.9 - 2.9. Let h = i + -128. What is the nearest to h in -0.3, 0.2, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13\/2)\/((-3)\/(-6)). Let a be (3 - -61)\/4 + (-40)\/8. Suppose -2145 = -22*q - a*q. What is the highest common divisor of u and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15583, -62338, -140269, -249376?\n\"Answer: -15588*r**2 + 9*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/33 - (-92)\/(-22). Let b be (-12)\/((-57)\/12 - v). Let f = 26 - b. Calculate the remainder when 35 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j - 10. Determine u(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 6*u**2 + 19*u + 24. Let y be q(-8). Suppose 3*p + 6*p - 315 = 0. Let v be 4\/((-3)\/((-30)\/p)). Which is bigger: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 4*k**2 - 13*k + 35. Calculate n(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78 and 13208.\nAnswer: 39624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*g**5 + 139*g.\nAnswer: -960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/21)\/w*w)\/w**(2\/139)*(w\/(w*w**(11\/4))*w*w)\/(w*w*w*w**(-7\/3)) assuming w is positive.\nAnswer: w**(-17821\/11676)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10165 - -10227. Solve n = -12*c + 86 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*1\/(-1 - -2). Let b be (8\/(-10))\/q*5. Suppose -5*k + 5*v + 65 = 0, k + 5 = 3*v + 28. What is the greatest common factor of b and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2\/9*m**5 + 34\/9*m**2 + 0 + 10\/3*m**3 + 4\/3*m + 2\/3*m**4 = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 11*d - 25. What is the units digit of a(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -86 or -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1579*f**2 - 2234*f**3 - 1579*f**2 - 3549*f**3 + (2*f**2 + f - f)*(3 - 3 - f) as z*f + h*f**3 + g*f**2 + c and give h.\nAnswer: -5785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - a**2 + 1. Let r(v) = 15*v**3 - 2*v**2. Give h(u) - r(u).\nAnswer: -16*u**3 + u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 620*i**3 - 387*i**3 - 414*i**3 + (i + i - 3*i)*(-3 + 3 + i**2) + 2*i**3 + 7*i**3 - 5*i**3 to the form u*i + c + d*i**2 + f*i**3 and give f.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43435555?\nAnswer: 5, 101, 86011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/12)\/(34\/(-204))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64492247 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tht when three letters picked without replacement from lhhttllh?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*n - 193*n + 31*n + 38*n + 21*n.\nAnswer: -79*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 3990000 to the nearest one hundred thousand.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 90, -5 in decreasing order.\nAnswer: 90, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from {e: 1, v: 3, p: 3, f: 1, z: 3, k: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**2 + 0*p**2 + 8*p**2)*(58*p - 104*p - 20 + 51*p) to the form b*p + v*p**3 + s + i*p**2 and give v.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/62)\/((50\/20)\/((-15)\/(-6)))?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -374213.459 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -9*w**3 - 10*w**2 - 13*w - 111. Let n(p) = -8*p**3 - 8*p**2 - 13*p - 112. Let i(u) = 4*l(u) - 5*n(u). Find the first derivative of i(j) wrt j.\nAnswer: 12*j**2 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -32.68383\nAnswer: -130.73532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 908099 or -7\/6?\nAnswer: 908099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -565.9 + 570.9. Which is the second biggest value? (a) -8 (b) -1 (c) 2\/7 (d) n (e) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 3*f**3 + 9*f**2 - 26*f + 12. Let l be p(14). Round l to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70.2 - -6.3. Let d = i - 76. Which is the biggest value? (a) d (b) 0 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.03373 and -2.1.\nAnswer: -2.13373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 11*u**2 + 12*u - 8. What is the units digit of p(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q. Let j(c) = -57*c**2 + 907. Determine n(j(b)).\nAnswer: -114*b**2 + 1814","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13677 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 25*a - 7 = 26*a, -3*a - 11 = -5*d. Put -3, d, -5, 7 in increasing order.\nAnswer: -5, -3, d, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*j = -204*j - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 m, and 1 y when three letters picked without replacement from {g: 1, i: 1, y: 2, d: 1, m: 1, v: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*w**2 - 101*w - 5.\nAnswer: -(w + 5)*(20*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 + 2*h - 3. Let g(x) = x**3 - 7*x**2 - x + 4. Let v be g(7). Let f be d(v). Solve -b + f = -w + 2*b, 0 = -5*w - 3*b - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-1.7310401\nAnswer: 0.86552005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 1. Let t(h) = 7*h - 9. Let o(b) = 6*f(b) - t(b). Let j be o(3). Let v be 2 - 4 - 4\/(-1). Solve p + v*k = 12, j = -p - 2*p - k + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 15 = 0, -3*i + i - 14 = -5*u. Suppose 2*c - 4*d - 51 = -9*d, 0 = -4*d - u. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*s + 3*x = -55*s + 8, 4*x = 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10759.90000130039 - 10759.9. Round d to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -545*n = -294*n - 41415. What is the greatest common factor of n and 6864?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 13*h - 11. What is the tens digit of j(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 26. Let z = -36.62 - -34.62. Which is the nearest to f? (a) z (b) -4\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 12:33 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3 + 1. Let x(r) = 5*r - 7. Let z be x(u). What is i in 2\/7*i**2 + 6\/7*i**4 + 0 - 8\/7*i**z + 0*i = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 0 + 2)*(3*w**3 - 4*w**3 + 10*w**3)*(w - w + 3*w).\nAnswer: 405*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 10*t + 9. Let p be l(9). Suppose 5*q + 2*n - 20 = p, -2*n + 0*n + 4 = -3*q. Solve -z - 2 = x + 5, -q*z = 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11057766, 11057822, 11057914, 11058042, 11058206, 11058406, 11058642?\nAnswer: 11058914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (-3 + 4))\/(-1). Suppose -10*w + 6*w + 20 = b. Suppose w*h - 9*h + 356 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16311, -16283, -16249, -16209?\nAnswer: -16163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134200041 + 144?\nAnswer: -134144342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801779 bigger than 1801793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*z - 346*z + 91*z.\nAnswer: -141*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**3 + 8959 + 6*j**3 - 5*j**3 + 4*j**3.\nAnswer: 2*j**3 + 8959","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324373315?\nAnswer: 5, 7, 449, 20641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n + 339020 = 44*n - 12*n. Does 92 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 - 218*a. Let r(l) = 22538*l. Give d(r(u)).\nAnswer: -1015922888*u**2 - 4913284*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15651)\/(-6660) - 2\/(-5)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 4. Let j be 0 + -1*(-5 + 8). Calculate h(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 4:32 PM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000792 to 7 dps.\nAnswer: -0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tumuzgtzmeze. Give prob of sequence zmgt.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75\/4 + 501\/28. Let n = -3 + 3.1. What is the closest to -2 in -1, n, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 16. Let t be ((-27)\/w)\/((-4)\/(-8)). Let b = t - 15. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - h**2 - h - 4. Let j be c(-4). Suppose 17 + 7 = 4*q. What is the greatest common divisor of q and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -58*p + 3. Is f(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5145076 - -3412076. What is l rounded to the nearest 10000?\nAnswer: -1730000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141143 (base 5) in base 8?\nAnswer: -13246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20 + -27)*(-6)\/7. Suppose -k = -4*b - s, -5*b + 30 = -0*k + 5*k. Let p(j) = 2*j - 6. Let r be p(5). Solve -r*h = -k*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 3, y: 5, n: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 45?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 833 - 833 + 3*t + (1 - 2 + 0)*(t - 3*t + t) - 2*t + 1 - 1 + (-1 - 3*t + 1)*(1 - 3 + 1) + 2*t + 2*t - 3*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 8. Suppose 0 = -2*f + 2, -4*r + 412 = x*f - 333. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*b + 3*b - 3 = 0, -4*b - 20 = 0. Suppose -2*w + j + 429 = 0, -x*w + j = -w - 212. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*h = -10, 5*n + 4*h + 38 = 13. Let j(f) = 66*f**2 - 7*f + 8. Is j(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 2568.\nAnswer: 12840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 7\/2*l**4 + 34*l - 1 - 9\/10*l**6 - 4*l**3 + 39\/20*l**5 + 0*l**2. Factor y(z).\nAnswer: -3*z*(z - 2)*(z + 1)*(9*z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1) + 0 + 1 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g - 110 = -42*g. Suppose -15*v + 415 = 5*a - g*v, 2*v + 8 = 0. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.64737186 rounded to three dps?\nAnswer: -16.647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 13889*i**5\/2 + i**4\/4 + i**3\/2 + 6*i**2 + 13*i. Let p be j(-3). What is p rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159400?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76 + 209. List the prime factors of r.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 28. Let k(m) be the first derivative of -m**4\/4 - 2*m**3\/3 + 2*m - 5. Let c be k(-3). Solve 5*s - c = -3*p - 3, -p - 2*s + 3 = j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7824 and 192666.\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**2 + 2*i. Let b(v) = -192*v**2 - 7*v - 14. Let n(u) = 109*u**2 + 4*u + 8. Let q(z) = 4*b(z) + 7*n(z). What is x(q(o))?\nAnswer: 125*o**4 - 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -41, 18.150852, -0.3?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -110443 (base 11) to base 16\nAnswer: -2b05f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + 3. Let p(w) = -5 + 17*w**2 - 8 - 8*w + 7*w**2 + 13*w**2 - 36*w**2. What is p(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dydryyrkyryd. What is prob of sequence rd?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-4))\/((-1)\/20). Let r = -1637\/4 + 379. Let h = r - t. Which is the third smallest value? (a) 3 (b) -2\/3 (c) 5 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) -30632 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 10*66\/(-165) + (-66)\/2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Round 1375.22 to the nearest 10.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76\/3*n - 2\/3*n**2 - 722\/3.\nAnswer: -2*(n - 19)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 27049*w - 1376922. Give s(-51).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5 + 0 - 5) + 85?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 10*k + 5. Is 4 a factor of m(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, k: 2, p: 1, j: 1, o: 2, m: 1}. What is prob of picking 1 y, 1 j, and 1 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62481710 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = b + 6, 0*g = -5*b + g + 12. Put -4, b, -3, 10 in increasing order.\nAnswer: -4, -3, b, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 9*r = 3*s - 7388, 5*r - 9258 = 2*s. Let j(l) = 2*l**2 + 34*l + 145. Let c be j(-5). What is the greatest common divisor of c and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29828 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 10*z + 35. Let s(l) = -1. Let a(j) = -2*j - 24. Let i be a(-12). Suppose -8*v - v + 9 = i. Let d(t) = v*u(t) - 6*s(t). Differentiate d(p) wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 124205 + 21424?\nAnswer: 150033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3)*-27*8\/(-6). Suppose 2*b = j - 439 + 42, 4*b = u. Round j to the nearest ten.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 771 divide 2292893862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*a - 5024, j - 2*j + 3*a = -1260. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -758, -757, -748, -725, -682, -613, -512, -373?\n\"Answer: a**3 - 2*a**2 - 757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -858*n + 49. Let w be h(-4). Suppose 0 = 28*t - 3519 - w. Calculate the greatest common divisor of 75 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185, 289, 393, 497, 601, 705?\nAnswer: 809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7*f**3 - f**2 - 8*f - 5. Suppose -6 + 14 = 2*c. Let t(z) = 6*z**3 + 7*z + 4. Let m(b) = c*g(b) + 5*t(b). What is the units digit of m(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3599997 + 0.36. What is h rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 263325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 3. Let x = 14.058 - 8.83. Let m = x - 0.228. What is the second smallest value in a, -4, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 7*a**2 + 2*a + 29. What is r(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 13, k: 3}. Give prob of sequence kpp.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7381180 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: How many kilograms are there in eleven halves of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*s + 5148 = -93*s + 140*s - 104*s for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-575)\/(-2415))\/((-5)\/(-6)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.4, 3, -0.04, -3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8805 = -2*p + 5*d - 8839, 5*d = -5*p - 15 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6, 2, -6\/7, 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*n - 47*n = -4*v + 12, 0 = 3*v - 9. Solve -6 = -2*k, 5*l - 5*k + 7*k - 21 = n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.7. Let s = -4 - -4.4. Let d = s - g. Put -1\/5, d, -3 in descending order.\nAnswer: d, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 9 = 3*h, h - 13 = -3*l + 5*h. Suppose -4*i = 2*g + i - 116, -l*g + 155 = -2*i. Suppose -4*u + g = -3*y, 5*u - 2*y + 4 = 72. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 0*f + 1\/2*f**5 + 63\/2*f**2 + 61\/2*f**4 - 125\/2*f**3 + 0 = 0.\nAnswer: -63, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 12*l + 1452 = 0. Let s = l + -55. List the prime factors of s.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-142)\/(-42) + 79716\/(-21462).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62605.4277 rounded to the nearest integer?\nAnswer: 62605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d + 2. Let p be t(-2). Let b(v) = -v**2 - v - 1. Determine b(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/4)\/x*x*x)**(-6)*((x\/(x*x**(2\/9)*x))\/x)\/(x**(-8\/5)\/x) assuming x is positive.\nAnswer: x**(-911\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {a: 8, d: 3, u: 6}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/510)\/((-8)\/(-20)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxnxnvkvvxnxcn. What is prob of sequence ncn?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4 = 6*p. Suppose 0 = -5*o - 2*l + 6, -3 = -6*o + p*o - l. Solve g - 4*y + 7 = o, -2 - 26 = -5*g - y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -2*t**3\/3 + 1. Let h(j) = j**2 + 0*j**2 + j**2. Give k(h(u)).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/3)*q*q\/(q\/q**(3\/11)*q))**(-35)*(q**1)**(1\/19)*(q*q*(q**(-3\/2)*q)\/q)\/(q**(6\/5)\/q*q*q) assuming q is positive.\nAnswer: q**(-362779\/6270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -65, -105, -137, -155, -153, -125?\n\"Answer: c**3 - 2*c**2 - 41*c - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -7*c**3 + c**2 + 2*c + 1. Let o be k(-1). Let g(t) = 6*t + 30. Let m be g(-14). Let p be 250\/12 - 9\/m. What is the greatest common factor of o and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2038*t**3 - 1019*t**2 - 2038*t + 11209. Let r(b) = b**2 + 2*b - 11. Calculate 4076*r(k) + 4*z(k).\nAnswer: -8152*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 46676 at least as big as 46686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3783063 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 471055, 941579, 1412103?\nAnswer: 1882627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2749482 divided by -2?\nAnswer: 1374741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 486139 smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -32790.5 and 13342?\nAnswer: 46132.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2360150 to the nearest ten thousand.\nAnswer: 2360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8751802 + -0.01?\nAnswer: 8751801.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243092775.\nAnswer: 3, 5, 17, 37, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhn when three letters picked without replacement from nbbnhbnnnnhnnnnfhbn.\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-2 - (8 + -4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2378698 and 788620.\nAnswer: 1022840140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*s**6 - 827*s**3 - 138143*s**2.\nAnswer: 1800*s**3 - 4962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -1\/3*u**3 + 0*u**2 + 0*u**5 - 2 + 0*u**4 + 0*u + 1\/2*u**6. What is the third derivative of j(c) wrt c?\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31679387 is divided by 762?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 + -7)*(4 - (-85)\/(-20)). What is the closest to 1 in 4, -6\/17, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 285 = 7*l. Let o = l - -54. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 916 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6 - 3*j**2 + 4*j**2 - j**3 + 4*j**2 + 8*j + 2*j**2. Let o be z(8). Let n = 3 - o. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453*j - 120*j - 339*j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(1\/4) + 2. Is 3\/m + (-765)\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182905 is divided by 257.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 18171454.\nAnswer: 18171454.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*z - z + z)*(z - z - 2*z) + 2*z**2 - 2*z**2 + 2*z**2)*(-6*z**3 + 2*z**3 + z**3) + 3*z**5 - 2*z**5 + 0*z**5.\nAnswer: 7*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/7*((-108)\/792)\/(101\/(-1111))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1233 - 3*x - 1177 + 0*x - 1246 - 1238 + 4895.\nAnswer: -3*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7*(-1 - (-1 - -2)). Suppose -334 - t = -29*f. Solve -f*v = -27 - 21 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -73 (b) -0.1 (c) 8 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -87*a**3 - 11*a**2 - 11. Let p(i) = -29*i**3 - 4*i**2 - 4. Calculate -4*f(m) + 11*p(m).\nAnswer: 29*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 p when four letters picked without replacement from ccpppcccpc.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3 + 15 = -3*n, 3*n = -u - 9. Suppose 1 = -u*v + 10. Suppose -a + 2*c - v = -17, 4*a - 48 = 4*c. Solve -2 = 3*q + a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*h - x + 217290, 49*x - 46*x = -3*h + 27144. Calculate the greatest common divisor of 18 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 3*s + 1. Let l(t) = -199*t**2 + 11*t - 3. Let q(o) = 4*f(o) - l(o). What is the second derivative of q(i) wrt i?\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 3*d + 3*d)*(163 - 60 + 13 + 353 + 95).\nAnswer: -1128*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, k: 2, c: 11}. What is prob of picking 1 k and 2 c?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1764949 is divided by 96?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -12. Calculate the common denominator of 17\/33 and 0 - (b\/5 - 104\/(-60)).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/16720 and 137\/9680?\nAnswer: 183920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/37, 4, 5\/53, -456, -3, 0, -0.2?\nAnswer: 5\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**3 - 204*r**2 - 3360*r - 17600 = 0.\nAnswer: -20, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*g = -3243, 0 = 2*o - 5*g - 2002 - 1297. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n + 10*n + 3 - 6*n. Let w(s) = -s**2 - 3*s - 3. Calculate 2*w(d) + 3*y(d).\nAnswer: -2*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.33 + -14.33. Let i = 6.7 + -7. What is the biggest value in c, -2\/13, i, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3339624 divided by -4904?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 i when two letters picked without replacement from {m: 4, r: 4, b: 2, g: 1, f: 2, i: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 5 + 1 + t + (7*t + 31*t - 7*t + (-1 - 2 + 2)*(-4*t + 4*t - t))*(1 + 1 + 0) + 2*t - 3*t - 2*t to the form u + d*t and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8800*g*j*q + 30*g*j + 448*g*q - 2*j*q + j + 14747 wrt j?\nAnswer: -8800*g*q + 30*g - 2*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4428684 (base 12) to base 2.\nAnswer: -110001100100101111000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 12*a**2 - a + 12. Let o(f) = -f + 20. Calculate the remainder when k(11) is divided by o(-11).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6}. What is prob of picking 2 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*i + i + 9, -4*x + 5*i = -49. Suppose -359 = x*j - 1103. Let u = -106 + j. Calculate the least common multiple of u and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -308 - -188. Let m be 485\/(j\/(-39) - 3). Let t = -126157\/20 + m. Find the common denominator of 51\/8 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123012201301 (base 4) in base 13?\nAnswer: -1619a28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**4\/6 - 5*j. Let n(d) = -3*d. Let m(g) = -1 + 2*g + 1. Let v(r) = 7*m(r) + 5*n(r). What is v(z(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 4*d - 212 = -229, 15 = -5*r - 4*d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1434878*z + 1151007.\nAnswer: -1434878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15756 is divided by 413.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10.8 and -18.5.\nAnswer: -7.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m + 7. What is the least common multiple of d(5) and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*v - 5051 = 330*v + 11173 for v.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5513, -11691, -17869, -24047, -30225?\n\"Answer: -6178*t + 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 + 68. Sort -2, j, 0.5, -2\/5 in descending order.\nAnswer: j, 0.5, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 518 + 508. What are the prime factors of (-4 - (-90)\/25) + (-1647)\/l?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/22 (b) -2\/11 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 9*y**2 - 3*y + 14. Let p = 25 + -14. Let k(f) = -5*f**3 + 45*f**2 + 16*f - 71. Let n(s) = p*t(s) + 2*k(s). List the prime factors of n(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p**3\/11 + 15104*p**2\/11 + 2761160*p\/11 + 496544 = 0 for p.\nAnswer: -1298, -1052\/5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 18*a - 25. Let b(l) = 18*l + 24. Suppose 2*q = -5*u - 14, 2*q + q - 3*u = 21. Let w(v) = q*t(v) + 2*b(v). Factor w(j).\nAnswer: -3*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5 + (sqrt(2) - sqrt(6)\/sqrt(3)))**2 + 0.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -4 (b) 5 (c) 3 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2\/3 - 72460363*o\/3 + 24153454 = 0. Calculate o.\nAnswer: 1, 72460362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(140)\/sqrt(7))\/(sqrt(576)*3) + 4 + (-2 + sqrt(405) - (sqrt(25)*-4)\/sqrt(5)).\nAnswer: 2 + 157*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 7*j + 2. Calculate m(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 2*z + 2 = 0, -45*r + 41*r + 5*z + 5 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 5*t + 833, 44*a - 2532 = 41*a - 4*t. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -7*q - 3*p + 6, q - 2*p = -4. Find x, given that -2\/7*x**3 + q*x - 8\/7 + 6\/7*x**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/496 or 1?\nAnswer: 11\/496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2601393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(18\/(-8)))\/(15\/45).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000051364 to 6 dps.\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46773*y + 46782*y + 46772*y - 140319*y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35194 + -35193.9981841. What is f rounded to five decimal places?\nAnswer: 0.00182","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -3.23 (b) -0.091 (c) -0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + y + 9. Let p be u(4). Let c = 7 + p. Suppose 7*a - 2*a - 3*w = -c, 3*w - 10 = -a. Solve t - 3 = -2*v - 1, 5*v + 4*t + a = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74372 not equal to 74374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00275778259 rounded to seven dps?\nAnswer: 0.0027578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001677418 to 7 dps.\nAnswer: -0.0000168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**2 - 58580*j + 171580820 = 0.\nAnswer: 5858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0 = -6. Let z(l) = 6*l - c*l + 2*l**2 + l**2. Let d(o) = -o. Calculate d(z(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, z: 1, n: 1, p: 1, g: 4}. Give prob of sequence fp.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x*x**5)\/x*x)\/x**(-3\/2)*(x*x**(1\/4)*x)**(-10\/13))\/((x\/(x\/(x*x*x*x**(2\/7)))*x)**38)**(-16) assuming x is positive.\nAnswer: x**(237736\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -330 < -1950?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 61 = 4*i - 143, 5*t = -2*i + 108. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.446 + -0.004. Let r = -1.2749 - -0.0249. Let v = r - t. Round v to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*w + w - 52, 44 = -4*y + 2*w. Let h be ((-6)\/(-30))\/(y\/(-10)). Which is the nearest to 2\/7? (a) -0.5 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54767196 a multiple of 1254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3384*c + 5008. Let d(n) = 1693*n - 2507. Let o(z) = -7*d(z) - 4*q(z). Differentiate o(u) with respect to u.\nAnswer: 1685","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.24, -0.2, 0.2, 0.65, -0.048 in descending order.\nAnswer: 0.65, 0.2, -0.048, -0.2, -0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and (-1 - 0)\/((-2)\/(-11 - -245))?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2955, -5904, -8815, -11670, -14451, -17140, -19719?\n\"Answer: 3*f**3 + f**2 - 2973*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-106)\/(19504\/(-69))*2\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*n**3)*(-4*n**2 - n**2 + 0*n**2).\nAnswer: -10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - d**2 + d - 1. Let v be h(2). Let u(x) = 3*x - 2. What is the remainder when u(v) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 756 - 446. Find the second derivative of -308*w - 79*w**2 + 614*w - c*w wrt w.\nAnswer: -158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 + j**2 + 2*j**2 - 6040.\nAnswer: 2*j**2 - 6040","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4 + 4665*p**3 + 235538*p**2 + 1033260*p - 1273464 = 0. Calculate p.\nAnswer: -4614, -46, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1568, 1987, 2682, 3653?\n\"Answer: 138*n**2 + 5*n + 1425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 280 + -155937?\nAnswer: -155657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.66 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 32 = 6*u. Suppose j - 3*s + 83 = 5*j, 5*s - u = j. Let b = 14819\/6 - 2455. What is the common denominator of j and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11381890.762 - 11361681. Let y = z - 20538.76389. Let u = -329 - y. What is u rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -771 - 3225 = -4*v. List the prime factors of v.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**3 + 0*y - 4 + 1\/2*y**2. What is the second derivative of h(b) wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 e when three letters picked without replacement from eteoeoeowxx.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -245131 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 14*u. Let q be -3 + 5 - (-1 - -1). Suppose -5*s + s = 2*x - 160, 88 = q*s - 3*x. What is the remainder when s is divided by l(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + -2.1. Let q = b + 0. Let f be 2*4\/(-8)*-2. Sort 2\/5, q, f in increasing order.\nAnswer: q, 2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 15 = 0, 3*o - z = -6 + 2. Suppose -5*f - 4*d = 24 - 28, -5*f + 3*d - 3 = 0. Sort o, f, -1 in descending order.\nAnswer: f, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/((((p**(2\/5)*p)\/p)\/p*p)\/p)*p*(((p\/(p*p**5))\/p*p)\/p)\/p)**(-45)*(p**(-1\/4)\/p)\/p*p**(-3\/4)*p\/((p**(3\/4)*p*p)\/p)*p*p**(-2\/7) assuming p is positive.\nAnswer: p**(4199\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-10)*(-3943)\/(-2). Let q = -979 - f. Find the common denominator of q and (15\/8)\/(3\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16*(15\/(-20) + 7). What is the highest common divisor of 3650 and a?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/8 and 119\/174?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35833826?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9.65 > -112.63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2\/115, -137263 in ascending order.\nAnswer: -137263, -8, 2\/115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08 - -7.08. Let b = p + -6. Let q = -0.5 + b. Put q, 1, -2\/3 in decreasing order.\nAnswer: 1, q, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**9\/a*a\/(a\/((a*a*a**(-7)*a)\/a)))\/((a*a**(-2)*a)\/a*a*a**(-2\/5))*((a\/((a*a**(-11))\/a)*a)\/a**(-4\/7))**47 assuming a is positive.\nAnswer: a**(22444\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d**6 + d**6 + 0*d**6 + 8*d**6 - 7*d**2 wrt d?\nAnswer: 600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-18))\/((-5456)\/(-792)))\/(1\/4).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-9)*11\/22.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8040.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 2*o + 150 = 0, 3*x = -5*o - 1133 + 1031 for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107 + 122 + 119 + 7.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 6:11 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 100766491 + -12?\nAnswer: 100766479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + (-5*(sqrt(325)*-1 + sqrt(325)))**2 + 0 + 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -11516998 not equal to -11516974?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 10:02 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*m + 16, 2*g - 12 = -2. Let b be 14\/(-7) + 12\/m. Suppose b*l = -l. Solve l*f - f = -4*r - 15, 0 = 3*f - 3*r - 9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 500 = -8*c + 3*c, 5*a + 233 = 2*c. Let z(i) = -i**3 - i**2 + 2*i - 1. Let o be z(1). Let q be -2 + c - (o - -3). Round q to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ziuv when four letters picked without replacement from zzituztzvtzvszvittzv.\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lj when two letters picked without replacement from {b: 1, l: 2, f: 3, j: 13, d: 1}?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 594.52 millennia?\nAnswer: 5945.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -276 divided by 276.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45887 or 45883?\nAnswer: 45883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1100) + -2)**2 + 5 - ((-1*(sqrt(1100) - 6*sqrt(1100)))**2 + sqrt(1100))).\nAnswer: -105564 - 200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7425\/8 - 7427\/8. Let k = 246\/35 + -33\/5. Which is the second biggest value? (a) k (b) -3 (c) 0.3 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -3*c - 1276, -4*c - c + 2*g - 2170 = 0. Let f = 4782\/11 + c. Find the common denominator of f and 103\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 92\/135 and -38\/859365?\nAnswer: 2578095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 263 + 48*l**2 + 149 + 132 + 12*l**2 - 6*l**4 wrt l?\nAnswer: -24*l**3 + 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.346852555 + -413.\nAnswer: -413.346852555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1 = -3*f, -4*t + 10*f - 5*f = -13. Suppose -3*u + t*a + 3990 = 0, 3*u - 9*a + 12*a - 3990 = 0. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*y = 4*q - 118, 5*y = 3*q - 113. Let a = 76 - q. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4\/k**4)\/(k**(-1))**(-3\/14) assuming k is positive.\nAnswer: k**(-3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 16*b - 33 = 0. What is the remainder when 97 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 455 and 1057.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -29986560.\nAnswer: 1\/7496640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + k = -360. Calculate the highest common factor of 108 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*i + 87 = 65*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30278*r - 60592*r + 30313*r + 71.\nAnswer: -r + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -18d (base 14) in base 13?\nAnswer: -1b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9495 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0363595486 times 4?\nAnswer: -0.1454381944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (80\/9)\/4 + 16\/(-72). Suppose -h + 14 = -4*h + 5*t, -4*h = -q*t. Suppose -3*k + 357 = z + h*z, 2*k - 601 = -5*z. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - 2 + 2)*(8 + 27 - 16).\nAnswer: -57*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 8 = 3*c, 2*x + 7 = 136*c - 133*c. Solve 12 = -c*b - 0*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-2)\/r)*r**4*r*(r\/(r*r\/(r\/(r*r*r\/r**1*r))*r))**(-4))**(-21) assuming r is positive.\nAnswer: r**(-525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-128*o + 70*o**3 - 1 + 128*o)*(2*o - 13 + 13)*(-3*o + 6*o - o).\nAnswer: 280*o**5 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -20*l. Let w(g) = 20*g**2. Calculate c(w(m)).\nAnswer: -400*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6212325 divided by 175?\nAnswer: -35499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34.6 + -2.6. Which is the closest to -2\/7? (a) r (b) -1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38\/(-6) + (-2)\/(-6). Let u = 15 + c. Suppose -4*z + 46 + 18 = 0. What is the remainder when z is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10248940 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n = -25*n - 1149. Let z = n + -387. Put -5, z, -14 in increasing order.\nAnswer: -14, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.17 - 13779645587.\nAnswer: -13779645604.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -1380*d**3 + 4129*d**2 + 19*d - 28. Calculate x(3).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 105 + -103. Suppose -3*o + 205 = 5*g - 242, 2*g - i*o - 166 = 0. Let u = -85 + g. Solve u*r + 1 = -1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 7 + j**2 - 10.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113640101*l**3 + 31*l + 16639424?\nAnswer: 681840606*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*s + 2 = 74*s. What is the lowest common multiple of s and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4 + 3 = j, -35 = -5*j + o. Let z be (100\/15)\/20 - (-2)\/(-6). Suppose 40*y - 32*y - 232 = z. Calculate the remainder when y is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30340137 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**17*d)\/d*d*d\/((d\/d**2)\/d))\/(d**(-19)*d*d*d**0) assuming d is positive.\nAnswer: d**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1938711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136\/16)\/((-13)\/182*7).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0.1. Let r = 22 + -87\/4. Which is the closest to l? (a) r (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2186 + -2097.3. Let p = g - 89. Which is the closest to -2\/7? (a) -1\/2 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y**3 - 1219486*y**2 + 30981296*y - 12197400 = 0 for y.\nAnswer: -121974, 2\/5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 125*c - 274*c - 2086 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3\/(-4)*740\/(-111) and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1958 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-3))\/((-1)\/(-9)). Let d(a) be the third derivative of a**4\/24 + 2*a**3 + 12*a**2. Let g be d(z). Which is greater: 2\/61 or g?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 584 + -402?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.5 + -0.74632.\nAnswer: -5.24632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*a = -240377223 - 16582777. Round a to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (495\/(-36) + 15)\/(9\/((-36)\/11))\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 328 and 8.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 56, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from owawbommvmooboowmv.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2512, 2483, 2422, 2317, 2156?\n\"Answer: -2*i**3 - 4*i**2 - 3*i + 2521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 518 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-87)\/24 - (-2)\/(-16))\/(128\/(-2048)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6678913 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2632, -2117, -14992, -40055, -81368, -142993, -228992?\n\"Answer: -677*b**3 - b**2 - 7*b + 3317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 10*w - 6. Let p(a) = -1. Let b(g) = 6*p(g) - y(g). Let r(s) = -s**2. What is r(b(i))?\nAnswer: -100*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 975 and 70473?\nAnswer: 1761825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*a**2*d*f - 3*a**2*f + a*f**2 + 4*d - 11*f**2 wrt a.\nAnswer: 54*a*d*f - 6*a*f + f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 9. Let u(g) = 27*g**2. What is z(u(f))?\nAnswer: 729*f**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/190 and -107\/50?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**2 + 2 - 2.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 81*n + 351. Determine k(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 282924871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.212166057 rounded to five decimal places?\nAnswer: 1.21217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 15*x**2 - 17*x**2 + 4*x**2. Let j(n) be the first derivative of n**2\/2 - n - 2. Let b(r) = 7*r - 4. Let t(s) = b(s) - 4*j(s). What is t(m(q))?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -92 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 21 = 5*v, -17 = -4*r - v + 4*v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -4.3 (c) 2 (d) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*y**3 + 7876*y - 215438?\nAnswer: 18*y**2 + 7876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22354 divided by 3?\nAnswer: 22354\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c - 5. Let q(b) = -25*b + 21. Let m be ((-110)\/(-25))\/((-2)\/10 - 0). Let l(k) = m*d(k) - 6*q(k). What is the first derivative of l(y) wrt y?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -110890?\nAnswer: 33267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*i - 368917 + 1005399 + 564862. List the prime factors of i.\nAnswer: 2, 3, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 350 and 42410.\nAnswer: 1484350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 8. Let v(z) = -5*z - 5. List the prime factors of v(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p**2 + 0*p)*(-4 + 4 - 1) + 6*p**2 + 0*p**2 + 0*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*h - 3952 = 630*h - 24402 for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0\/h*h*h)**(1\/9)*(h\/h**0*h)\/(h**(-4)\/h) assuming h is positive.\nAnswer: h**(64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.635013 minutes in seconds?\nAnswer: 578.10078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 22367*k**2 - 5975929*k - 30438695.\nAnswer: (k - 269)*(k + 5)*(k + 22631)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 53 - ((49 - 42) + 7)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10*846\/(-180) - (1 - (-24)\/(-3)). What is the fourth biggest value in 2\/7, -3\/8, v, 7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - n. Let d be h(-1). Suppose 2*y + 5 = d*y. Suppose t = -0*t - 2, 0 = 4*v - y*t - 10. Solve v*q - 2 = k - q, -2*k + q = 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 673.6 * 0.5\nAnswer: 336.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3363*a**2 - 3357*a - 6.\nAnswer: 3*(a - 1)*(1121*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*a - 82, -2*h - a + 271 = h. Let w = -6 + 45. Let z = w - 16. What is the greatest common factor of z and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u + 20. What is l(-6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 606 from 32542.8.\nAnswer: 31936.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 539.81 - 539. Let h = k + -0.8099238. Round h to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjhwwhwehxhhiwxeh. What is prob of sequence exhx?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**5\/20 + 3*l**4\/4 - 5*l**3\/6 - 15*l**2\/2 + 5*l. Let o be j(8). Solve p = -3*u - 5, 2*p + o = -2*u - 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.038 and -6149.89.\nAnswer: -233.69582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -133827687*k + 228455139 wrt k?\nAnswer: -133827687","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 + 157 = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 5. Let v(l) = l. Calculate v(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, v: 3, f: 3, y: 3, l: 1}. What is prob of sequence ly?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g. Let v be w(-4). Suppose -4*p + 2*p = -v. Is p\/(-9)*18\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-60)*3\/9*365\/73?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1840)\/(-64) - (-10)\/8. Is 4218\/x - (-3)\/(-5) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-635)\/127)\/(473\/22*-5).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6641231, -6641169, -6641065, -6640919, -6640731?\nAnswer: -6640501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6*6\/3. Let p = 3.32 - 3.3. Let u = -0.02 + p. What is the nearest to 0 in u, 0.1, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 443155.\nAnswer: -443155.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-8)\/(-9)))\/((-134085)\/(-71512))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10926244?\nAnswer: 2, 7, 390223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1154 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**5 + 5864*c**4 + 5703514*c**3 + 1829222548*c**2 - 11129964288*c + 16772419584 = 0.\nAnswer: -1082, -928, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g - 5*g - 11*g. Let a = 135 + -118. Let m(w) = -19*w**2 + 3*w**2 + a*w**2. Give k(m(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h**3 + 0*h**2 - 6*h**3 + 0*h**2 - 16 as k*h**2 + l*h + j*h**3 + f and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4507889 is divided by 149.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 6:53 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/7 - 18*c\/7 + 81\/7.\nAnswer: -3*(c - 3)*(c + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.48? (a) -225 (b) 0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-16)*-3)\/(-39).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615*o + 20790 = 155*o for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5 - 14) + 0 + 5 - 10) + (49 - -28)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50810.0060119 - 50810. Let l = -0.087 - -0.093. Let u = l - c. What is u rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -568.8901 minus -2004.1?\nAnswer: 1435.2099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 4. Let q = -31 - -32. Let p be q\/(-2*(-2)\/44). What is the highest common divisor of p and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32730 - -20461. Round g to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 72*t**2 - t - 48. Give u(-72).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 40.9316\nAnswer: -40.9316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.5685um in millimeters?\nAnswer: 0.2615685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*l + p - 140, 3*p = -9. Let m be (0 - -1)*l\/8. Suppose 9*f - 10 = m*f. Solve 0*q - 4*q + 16 = -4*j, f*j + 8 = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 106\nAnswer: 12\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 828167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20149926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 366\/4*16\/12. Suppose z - j = 369. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.28 in -15, -13, 0.31?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3215*t + 23516. Give z(7).\nAnswer: 1011","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*(z*(z\/(z*z**(2\/11)))\/z)\/z)\/((z\/(((z*z**1)\/z)\/z))\/z*z))**37*(z**(-1)\/(z\/(z**(2\/15)*z)))**(-8\/5) assuming z is positive.\nAnswer: z**(-4406\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 + 9492*r**2 - 19*r**3 - 9508*r**2.\nAnswer: -23*r**3 - 16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.73 - -904.27. Let m = p - 922.5. Let j be (-4)\/18 - (-2)\/(-72). What is the third smallest value in 4, j, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 6*a**2 - 6*a - 5. Let o be g(7). Suppose -7*i + o*i + 40 = 0. Let k be i\/6 - 2\/6. Solve 0 = -3*w + 2 + k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*m + 0*m**2 - 154*m - 2*m**2 - 3627 - 150*m + 457*m.\nAnswer: -2*m**2 + 2*m - 3627","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 19. Let y(o) = -o + 15. Let l be y(q). Suppose a + l*a = 90. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13a - 2bf7?\nAnswer: -2abd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuakyatk. Give prob of sequence uytu.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67 + 68 + 3*t + 3*t**2 - 4*t**2 - 5*t**3 to v*t + y*t**2 + x*t**3 + j and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 c, and 1 j when four letters picked without replacement from jtjjtjccjcjjcj.\nAnswer: 96\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3909398 is divided by 161.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -301.89 and -1.\nAnswer: 301.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3978807 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.3 + -0.7. Let y = 17.8 + i. Let s be (-4)\/(-10) + 46\/(-40). Put -0.3, s, y in decreasing order.\nAnswer: y, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**3 - 19*g**2 - 7*g + 6. Let p(s) = 2*s**3 - 10*s**2 - 3*s + 3. Let t(x) = 5*p(x) - 3*v(x). Determine t(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 5*h + 8. Let o be s(6). Suppose 7 + 17 = 2*m. Suppose o*w - m = w. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7520108.3 to the nearest 1000.\nAnswer: 7520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7334488 divided by 1833622?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*6*(-3 + sqrt(448) + sqrt(448) + -1 + sqrt(448) + sqrt(448)) + -1 + -3 + ((sqrt(448) - (-1 + sqrt(448)) - sqrt(448))*6 - sqrt(448)))*-2)**2.\nAnswer: -991616*sqrt(7) + 28962704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 - 7*a. Let u(i) be the second derivative of -i**4\/12 + 14*i - 6. Determine u(z(w)).\nAnswer: -4*w**4 - 28*w**3 - 49*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*(-3 - 42\/(-10)). Let g(m) = -4*m + 0*m + z*m. Let r(f) = 2*f**2. Give g(r(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.53 + -5.63. Which is the second smallest value? (a) 2 (b) g (c) 0.7 (d) 0.1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -91, 98.6 in decreasing order.\nAnswer: 98.6, -49, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 2715.\nAnswer: 5430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1383, 1407, 1419, 1413, 1383, 1323?\nAnswer: 1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6982*c = 6963*c + 57. Put -1, -5, 1, c in descending order.\nAnswer: c, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1915.\nAnswer: 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 266.7 - 271. Let n = -4.7 - f. Sort 2, 5, n, 1 in decreasing order.\nAnswer: 5, 2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qljbg. Give prob of sequence ql.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (0 - -4)\/2 + 1. Suppose 29 = 2*c + q*a + 3, 2*c - 34 = -3*a. Calculate the remainder when c is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 6. Let s be ((27\/6)\/i)\/(-18). Let w be (12\/(-105))\/(2\/(-10)). Sort -3, w, s in increasing order.\nAnswer: -3, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**3 + 3*y**4 - 4*y**3)*(10*y - 11*y + 11*y).\nAnswer: 30*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/240)\/((-4)\/(-64)*-2)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 6:50 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9613336, 19226580, 28839826, 38453074, 48066324, 57679576, 67292830?\nAnswer: 76906086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j. Suppose 0 = 3*h - 3, -3*r + 2*h = 3*h - 19. Let m(b) = 4*b**2 - b. Let l be m(-1). Let p(x) = -x - r*x + l*x. Calculate p(f(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (51*c**2 + 10 - 98*c**2 + 32*c**2)*(-3*c - 5*c + 101*c**2 + 8*c) to r*c**4 + o*c**2 + b*c**3 + q*c + d and give o.\nAnswer: 1010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31699116 and 190194696.\nAnswer: 190194696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 402724?\nAnswer: -3\/402724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**5\/10 + p**4\/6 + 73*p**3\/6 - 59*p. What is the third derivative of i(v) wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 10269384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 895070 by 179014.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 99*a - 55*a = 362 + 838 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24115899 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 205*g**2 + 2*g - 2. Let b be (-18)\/(-21) - (-6)\/42. Suppose -5*y + 2 = 3*v, 2*v + b = -y - 0. List the prime factors of m(y).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.017 and -0.087.\nAnswer: 0.001479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24905963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) 0.17 (c) 0.3 (d) 2 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i**3 + 2*i + 1. Let l be r(-1). Let g = l + 3. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -128*p**4 - 14*p**5 + 128*p**4 + (4*p**4 + p**4 - 4*p**4)*(p - 2*p + 0*p) + 2*p**5 - 3*p + 3*p.\nAnswer: -13*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 110\/3, 1\/6, -3, -12, -0.3, 0.64?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -515 - -534. Solve 0 = -4*k + 3*l + d, -2*k = -0*l + l + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*h - 8*h. Let q(l) = -h*l + 28 - 29 + 5*l + l. Let u(k) be the first derivative of -2*k**3\/3 - 5. Calculate u(q(j)).\nAnswer: -32*j**2 + 16*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 0 - ((-3 - -5) + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 21237*n**2 + 616713*n - 35. Determine j(-29).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 985 and 788?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 158*z**2. Let n(t) = -2*t**2. What is -a(i) - 12*n(i)?\nAnswer: -134*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3566*-0.08\nAnswer: 285.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) + -4 + 2 - (2*(sqrt(468) - sqrt(13))*1)**2.\nAnswer: -1302 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*w - 44. Let j = 28 - 7. Let p = w - j. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2385 + -2388. Which is the closest to 1? (a) 2\/3 (b) -1\/2 (c) 1\/15 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/18 + -4\/9. Let x = -14693.3 - -14693. Which is the nearest to -2\/3? (a) 3\/10 (b) i (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2 - 24*p + 30. Let y be u(-9). Let q(c) = -96117 + 2*c**3 + 96117 + y*c**2 + 3*c. Give q(-3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g*g\/g**(1\/25))\/g*g))**30*(g*g**(-2\/127)*g)**(-24))**(-40) assuming g is positive.\nAnswer: g**(540624\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -485*j**3 - 8*j**2 + 11*j - 8. Let o(n) = 324*n**3 + 5*n**2 - 7*n + 5. Calculate 8*o(v) + 5*y(v).\nAnswer: 167*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/12 and -139\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 4*q + 15 = q, -3*q - 7 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 155.573689 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*o**3 + 99*o**2 + 10965*o - 7875.\nAnswer: -3*(o - 25)*(o + 21)*(7*o - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15345 and 39380?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47880 divided by -140.\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 68 + -81 - (6 + (-16 - -9))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-420)\/2352*(-32)\/5.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 129, 255, 381, 507?\n\"Answer: 126*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-7 + 6*g**2 + 5 - 4*g**2).\nAnswer: -4*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 307291768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10315.\nAnswer: 5, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -82 and -2018.78.\nAnswer: 165539.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + u - 16 = -u, 20 = -2*w - 5*u. Let v = w + 10. Solve 2*t - 5*d - 19 = 0, t + 0*d = -v*d - 13 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -239*u**2 - 253*u + 3.\nAnswer: -478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49703*j**2 + 16566*j**2 + 16565*j**2 + 4*j**3 + 16572*j**2.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 397062811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*r + 123 = -3*r, -2*c + 2*r + 54 = 0. Let s = 140 + -104. What is the greatest common divisor of s and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, 0.023, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(539) - (sqrt(539) - -2*sqrt(539))))**2*2*-6.\nAnswer: -232848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - x. Let p(m) = -185*m**2 + 322*m. Let n(y) = p(y) + 2*v(y). Find the second derivative of n(u) wrt u.\nAnswer: -362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - n - 2*n + (n + 0*n + n)*(-1 + 1 + 2) + n - n + n + 6*n - 4*n + 0*n)*(-31 + 31 + 3*n).\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*o - 135, 0*o + 5*a = o - 27. Calculate the remainder when o is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 24*z**2 - 2*z - 1. Let c(q) = 3*q**2 - 33*q - 1. Let l = 115 + -104. Let a be c(l). Calculate g(a).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b - 80. Let f be k(16). Suppose f = a + 2*g - 12, -2*a + g + 48 = -3*g. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 13315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 47*g**2 - 159*g + 489. Give j(43).\nAnswer: 1048","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 680 - 116 = w. Suppose 5*p - w = 11. Suppose p = -0*v + 5*v. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16397 smaller than -16398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - r. Let m(w) = w**3 - 9*w**2 + 2*w - 11. Let x be m(9). Let c(k) = -3*k**2 + k**2 + 7*k + 3*k**2 - 2*k - x. Let j be c(-6). Calculate f(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/5, 1, -6607, -0.8, 2, -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*j + 408, j = -3*k + 4*j + 606. Calculate the lowest common multiple of k and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 - 16. Let p(v) = v**2. Let k(h) = -4*h**2 + 4*h - 1. Let m(d) = k(d) + 3*p(d). Calculate the remainder when l is divided by m(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*j**3 + 12*j**3 - 14*j**3.\nAnswer: 22*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gifwwgggg. What is prob of sequence gi?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104 - 109. Let l(o) = o**2 + 8*o - 1. What is l(v)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 18*m + 907. What is n(21)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6507.\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9086729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**3 - 26*a**2 - 47*a + 118. Determine v(19).\nAnswer: 3557","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1420413 (base 5) to base 10.\nAnswer: 29483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -702*g - 155*g - 280*g - 685*g - 120*g - 1 in the form s*g + k and give s.\nAnswer: -1942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*f = 317*f + 45*f - 1404. Put f, -2261, 0 in increasing order.\nAnswer: -2261, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 3*k - 2*k)*(-1 + 3 - 4)*(-10*k - 10*k + 4*k).\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 0*o + 2*o = -4*c + 4*c + 4*o + 2, 582 = 291*o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46023.\nAnswer: 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 (base 9) in base 10?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 2168\nAnswer: -8672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2125*b - 759386 + 294306 = 3160*b for b.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 654096181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 110.02.\nAnswer: 109.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*x = -16*x + 172 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.39311 * 0.1\nAnswer: -0.139311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/79052819 and 30\/26587.\nAnswer: 869581009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(1*(-2)\/(-154)). Let i = -43 + t. Let u be 2\/13 - ((-1894)\/26 + 5). Calculate the greatest common divisor of i and u.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -106405 and 0.5.\nAnswer: -106404.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/(16\/240)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82180 is divided by 2058?\nAnswer: 1918","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 3*q + 19, 0 = -37*d + 33*d - 3*q - 23 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 754 = 2*p - 771, -3*p = -12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 26 = -w - 3*z, 3*z - 34 = -5*w. Solve -4*v + 12 = w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27\/36 - (-18)\/8. Let n be -4 - (-3 + -18)\/z. Let o be (0 + -3 - 30) + n. What is o rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 7*x + 2*x + 6930 = 0, 3*x = -3. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -15*z + 33. Let l be d(5). Let b be (-2930)\/l*(-64)\/50. Let t = b - -466\/5. What is the common denominator of t and 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -557, -1421, -2629, -4181?\nAnswer: -6077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -665.13?\nAnswer: 133.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 47 - -ba7?\nAnswer: bee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmkk when four letters picked without replacement from kxkmkkkkiwmmx?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 66*o**2 + 140*o + 774. Calculate c(-64).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -459*-0.9\nAnswer: 413.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257998*o**2 + 516004*o**2 - 258005*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n - 64 = -17*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1245 - -1253. Let n(t) = -t**3 + 7*t**2 + 5*t + 15. Give n(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-304) - (-110)\/38?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a kilogram in grams?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 9 - (-2 - (-4 - -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1702 + -1694. What is the greatest common divisor of 40 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 202 - -1046?\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -w**3*y**3 - 5490*w**3 + 2*w*y**3 + 1873*y wrt y?\nAnswer: -3*w**3*y**2 + 6*w*y**2 + 1873","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**2\/3 - 682*l\/3 - 1575 = 0.\nAnswer: -675, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1796011 and 306393?\nAnswer: 2491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*z - 4*j, 0 = -3*z - 6*j + 2*j - 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 3:26 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 11:52 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 3:08 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -225003 + 5?\nAnswer: -224665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 125329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/299904 and 89\/21016.\nAnswer: 11096448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 363185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*s + 3*a, 4*s + 2*a = -5 + 19. Let x(w) = -9*w. Let q be x(s). Let b be (2\/(-6))\/(9\/q). Solve -4*t - 25 = t + 4*p, 3*p + 17 = -b*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 469 divided by 882\nAnswer: 67\/126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 - -87. Let n = y - 15. Calculate the greatest common factor of 30 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 5\/6*n**3 + 6*n + 0 - 1\/12*n**4 + 3*n**2. Calculate q(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 + x + 21. Determine b(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 + 2*t**2 + 2*t + 1. Let b be x(-1). Suppose o = b*o + 490. Let l = -158 - o. Is l a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65089061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence us when two letters picked without replacement from {s: 3, u: 5}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1665545 (base 8) to base 12\nAnswer: 1b5485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9148, 18292, 27432, 36574, 45724, 54888?\n\"Answer: g**3 - 8*g**2 + 9161*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*m + i - 10, -3*m - 2*i + 7 = 0. Suppose -3*l + m*n = -21, 2*l + 5*n = -l + 21. Solve -o + 1 = 0, p + o + l = 3*o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294490 - i + 307810 - 602300.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7033?\nAnswer: 13, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 3867756*x - 3739884118884.\nAnswer: -(x - 1933878)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 26 + 50 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23776.57 and -0.14.\nAnswer: -3328.7198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 31800*n - 349846. What is y(11)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 667 = 133*a - 160 + 203, 4*a + 3*p + 103 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56787.\nAnswer: 3, 23, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 187\/613200 and -53\/157600.\nAnswer: 241600800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/g**(2\/9)))\/g)\/g)**(4\/17)*g**(-7)*g*g**(-3)*g assuming g is positive.\nAnswer: g**(-1288\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2112 or -3545?\nAnswer: -3545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*b + 22523, -2*b + 5*l = 3*b - 56255. Let j = b + -112637\/10. Find the common denominator of j and 71\/34.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -8. Let h = z + 3. Let c = h + -0.1. Is 0 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**5\/135 + 4*c**4\/27 + 14*c**3\/27 + 6*c**2 - 2*c + 22. Let u(h) be the second derivative of z(h). Factor u(k).\nAnswer: 4*(k + 1)*(k + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 219*i**3*y**3 + 5*i**3*y - i**3 - 5*i**2*y + 302*i**2 + 677*i*y**3 - i*y**2 - 2*i*y wrt y.\nAnswer: 1314*i**3*y + 4062*i*y - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-13)\/k*k**(-2\/49))**45 assuming k is positive.\nAnswer: k**(-30960\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28.554225 - -0.449075. Let n = a - 29. What is n rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 179 divided by -4\nAnswer: -179\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + (-9)\/6)*(-70)\/(-1). Let w be (-357)\/q*(-40)\/108. Factor 10\/9*p**3 + 0 + w*p**2 + 4\/3*p.\nAnswer: 2*p*(p + 3)*(5*p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20104 + 101?\nAnswer: 20205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4. Let y(n) = -1. Let x(h) = c(h) - 3*y(h). Suppose 0 = 2*p - 28 + 4. Let m(f) = -2*f**2 + 10*f + 6. Let r(s) = p*x(s) + 2*m(s). Factor r(a).\nAnswer: -4*a*(a - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -593 + 641. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*d - 2 + 2 + (-3 + 5 - 3)*(-4 + 4 + d) + 3*d - 3*d + 6*d)*(28 - 14 - 17 + (-1 - 1 + 3)*(1 + 2 - 4)) to a + x*d and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 + 8 + -12 + 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2256 = k + 7*k. Let i = k - -3105\/11. Do i and 12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 80 = 2*v. Solve -2*a + 2*p - 12 = 0, 5*a = 4*p - v - 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-50*u + u + 14*u)*(24*u - 14*u + 6*u) in the form z + p*u**2 + a*u and give p.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 164, -4, -1 in ascending order.\nAnswer: -4, -1, 2, 3, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4 = 5*u + 41, 5 = 5*m. Let c be ((-33)\/6)\/((-2)\/u). Let k = -1 - c. What is the greatest common divisor of 14 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xi when two letters picked without replacement from {i: 4, n: 1, l: 1, x: 1, r: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2))**47\/(x*x*(x*x**2)\/x*x**(-2\/9)*x) assuming x is positive.\nAnswer: x**(-509\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/6)\/p**(-3))\/((p*p**1)\/p)**(-6))\/(((p*p\/(p*p**0\/p*p*p)*p)\/(p**6*p*p*p))\/(p**(-7)\/p**(-3))) assuming p is positive.\nAnswer: p**(77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-84) + 165\/(-770) - (-71)\/(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 0, -0.7, -0.1 in decreasing order.\nAnswer: 0, -0.1, -3\/8, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 4. Let k be 5*((-48)\/(-15))\/f. Let i = k - 4. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 - 72. Suppose -d*c - 2*c = -2*y + 109, 0 = 5*c + 25. Suppose -5*s - 2*a + 175 = 0, 0 = s - 2*s + a + y. Solve q + 9 = i, -5*q = -2*q - 5*i + s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (105\/12)\/(-5) + 0. Suppose 4*v - 23 + 31 = 0. Is c at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -398\/13 + 6901\/208. Let r be ((-48321)\/(-40))\/(-7) + 3. Let a = -871\/5 - r. Find the common denominator of p and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*g**2 - 4*g**2 + 6*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*d**5*u + 213*d**2*u**3 - 772*d*u**3 - d*u + 2*u**3 wrt d.\nAnswer: 80*d**3*u + 426*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -2, -29, 1\/2?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000838865 rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 4*h + 3. Let k(l) = -2 - 1 - 2 + l. Suppose 2*x + 8 = 2*g - 6*g, 3*x + 12 = 3*g. Let c be k(g). Calculate s(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44229 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4, 15, 42, 91, 168, 279?\n\"Answer: j**3 + 2*j**2 - 2*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1\/v)**(26\/9) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/49730 and -73\/6580?\nAnswer: 32722340","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 + 12)\/(0 + 1). Suppose -4*i - 2 = -h. Let x be i\/(2 - 38\/20). Solve -20 = 4*s, 0 = -2*f + 5*s - x*s - 25 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 + -0.93. Let n = i + 0.53. Sort n, -3, -2\/21 in descending order.\nAnswer: n, -2\/21, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5196*x + 2291. Is q(-31) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**5\/5 + 46*l**4\/5 + 126*l**3\/5 + 116*l**2\/5 + 32*l\/5 = 0. Calculate l.\nAnswer: -8, -2, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*x**2 - x**2 - 3*x**2)*(-2*x - x + x) - 6136 + 413*x**3 + 6136 to the form j*x**3 + i*x + c + t*x**2 and give j.\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 7*v + 18. Suppose 2*f + 2 = v. Suppose -3*s = 2*t - 63, 3*t + 4*s = -f*t + 147. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100101001111111010 - 1011101?\nAnswer: -10100101010001010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**3 - 5*c**3 + 3*c**4 + (13*c**2 - 16 + 16)*(-12*c**2 - 6*c**2 + 5*c**2).\nAnswer: -166*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120417 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6277\/22 + 571\/2. Is -401 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 - 4*n**3 + 4*n**3 + (2*n**2 + 3*n**3 - 2*n**2)*(n + n + 0*n).\nAnswer: 7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(39) - (sqrt(39) - -2*sqrt(39))))\/(sqrt(33)\/sqrt(396))*3.\nAnswer: -72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2457 and 189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 14*z**2 + 3*z - 2. Let m be b(1). Let t(x) = 8 + 4 + 9 - x - m. Determine t(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 159\/(-51) - (-72)\/34. Let s(f) be the first derivative of 3\/8*f**4 - 1\/2*f**3 + 6*f - 3*f**z - 14. Suppose s(m) = 0. What is m?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -12 + t - t**2 - 2*t - t - 2*t. Let j be n(-8). Let h = j - -83. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*y - 30 = -147*y + 5*i, 0 = y - 2*i + 9 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + g + 339, 8*a + 278 = 11*a + 4*g. Calculate the least common multiple of a and 4.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10*1*3\/(-6) - -33. Solve -25*s + 15 = -n*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 13 - 3 + 38*m - 166*m.\nAnswer: -128*m + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5350\/615*(-11 + (-247)\/(-26)) - -13.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*c + 28 = -2*m - 109*c, 0 = 4*m - 4*c + 32 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1116*w**2 + 30*w - 2*w**3 - 35*w + 5*w in the form v + l*w**3 + h*w**2 + z*w and give h.\nAnswer: 1116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + n + 7 = 0, 2*n + 9 = -3*c + 2. Let u be -2 + (-4 + 7 - c). Suppose 5*z + u*z + 30100 = 0. What is z rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 348 + 81 + 1798*t - 1534*t.\nAnswer: 3*(t - 1)*(t + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f - 91. Let d be g(17). Let z be d - (-1)\/(((-10)\/4)\/(-5)). Which is the biggest value? (a) -3 (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 3*d - 36, -130*s = -127*s + 4*d + 8 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 0.4, -83\/3, -0.02, 2\/3, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1643733)\/40586*2*1\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1462566?\nAnswer: 2, 3, 7, 97, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1686\/19 - -4103\/76. Let r = 35 + q. Let t(l) = 9*l + 67. Let h be t(-8). Which is the biggest value? (a) h (b) r (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 9:05 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2266*i**2*l*p**3 - 12*i**2*l*p - i**2*p**4 + 3*i**2*p**2 + 7*i*l*p**2 wrt p?\nAnswer: 13596*i**2*l - 24*i**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 48.8755109?\nAnswer: 48.7755109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2660 - 5310 + 2650 - 14*g**3.\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*g + 267 - 103 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 5) to base 14\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1322 - 1317. What is the third smallest value in -0.2, d, -0.03?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 5 (b) -1\/2 (c) -4 (d) -2\/9 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -56199 divided by -14?\nAnswer: 56199\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 277619674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 19*i + 31. Let b = 1180 - 1160. What is f(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -16.1. Let v = 4.1 + z. Which is the closest to 1? (a) 3 (b) v (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010 + 11011110011?\nAnswer: 11100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 + -2)*(-4)\/((-136)\/(-51))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25142, -32926, -40710, -48494?\nAnswer: -56278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -92, -172, -266, -368?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**5\/7 - 42699*m**4\/7 + 1025330*m**3\/7 - 939930*m**2\/7 - 1025329*m\/7 + 982629\/7 = 0.\nAnswer: -42723, -1, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.3 times -1.05?\nAnswer: -31.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*g + 2*g. Put -3, -6, g in descending order.\nAnswer: g, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fm when two letters picked without replacement from {f: 3, y: 5, m: 1, k: 2, c: 1, g: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 2*f - f + (1 - 3 + 0)*(3*f - 6*f + 2*f) - 7*f + 2*f + 4*f + f + 2*f + f)*(-4*f**2 + 2*f**3 + 4*f**2).\nAnswer: 14*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1678 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -137687438.\nAnswer: -9\/137687438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*3\/45*5. Let j = 7 - g. Suppose 0*h = j*h - 42. Put -3, h, -1 in descending order.\nAnswer: h, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144379?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k*y**3 + 4*k*y**2 + 334*k - 145*y**3 wrt y.\nAnswer: 12*k - 870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q*u**2*x + 64*q*u**2 - 15*q*u + 979*u**2*x - u**2 + 2*u wrt q?\nAnswer: 2*u**2*x + 64*u**2 - 15*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6*u. Let i(z) = -z. Let j(l) = -3*l + 2*l + 3*l. Let q(o) = 15*i(o) + 6*j(o). Let s(a) = a. Let c(w) = q(w) + 2*s(w). Determine m(c(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 25635597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 48859.843 and 0.5.\nAnswer: 48860.343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, -35, -1, 1, 17 in decreasing order.\nAnswer: 70, 17, 1, -1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 94*x - 98*x + 1.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 1. Let v(o) = -8*o - 1. Let f = 156 + -157. Give f*l(n) - v(n).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (3388\/(-182) - -20))*(-5 - 147\/(-35)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -14*p + 17*p. Let u = -4 - -6. Suppose -3*d - u*d - 25 = 0. Put 3, d, p in decreasing order.\nAnswer: 3, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyuyuuy. Give prob of picking 1 z and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.7747 to 1 decimal place.\nAnswer: -23.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4221 (base 6) in base 11?\nAnswer: -793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3715 smaller than -3653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-3)*11\/(308\/24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 289 - 291. Is g equal to 8\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 2 - -2) + (663 - 657) - 17.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 2903*t**3 + 1461*t**3 - 1068*t**3 - 7398*t**3.\nAnswer: -9908*t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 23*j - 25. Let f be ((-37)\/(-7) - 3) + 10\/(-35). Let q(a) = -a**2 - 2. Let c(p) = f*q(p) + t(p). Calculate the remainder when 95 is divided by c(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19395325 to the nearest integer?\nAnswer: 4404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**5 + 546*p**3 - 394*p**2 wrt p?\nAnswer: 120*p**2 + 3276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o + 54. Let f = 226 + o. Suppose -f = -2*q - 76. What are the prime factors of q?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times -0.3?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8168 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 2*s - 27 + 29, 5*t = 5*s + 25 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4704)\/(-126)*(-6)\/(-105) - 2\/15. Solve -2*d - 2*l + 2 = 0, a*l + 5 + 2 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.03681 milligrams in kilograms?\nAnswer: 0.00008903681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60673075 is divided by 7584133?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 + -9.5. Let n = -9 - h. Let r = -1 - n. Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i**(-10)\/i)\/i)*i*(i\/(i*i\/((i\/(i*i**(3\/5)))\/i)))\/i)**(-10\/9)*((i*i**(-2\/35))\/(i*(i**3*i*i)\/i*i))**(3\/17) assuming i is positive.\nAnswer: i**(-66659\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 11. Let s be d(8). Let l be 28\/(-60) + 2\/s. What is the biggest value in -2, 1\/6, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**5 + 3*g**5 - 3*g**5 - g**5 - 2*g**5 + 0*g**5 + (-3*g**3 - 4*g**3 + 6*g**3)*(-3*g**2 + 3*g**2 + 2*g**2) + 3*g**5 + 2*g**5 - 3*g**5.\nAnswer: -8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -8. Let u be (w - -2 - (-5 + 10))*-3. Let d be (-56)\/(-12) + 3\/u*1. Solve 0*t = -j - 2*t, 0 = -j + d*t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -13. Let q be 1*(-12)\/(-8)*4\/6. Sort a, q, -2 in increasing order.\nAnswer: -2, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 140745*h**4*l + 5590*h**2*l + h*l + 2*l wrt h?\nAnswer: 3377880*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 11:18 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 7 = -20. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, p: 1, u: 2}. Give prob of sequence up.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 27*i**2 + 9*i - 16. What is the least common multiple of x(2) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200259466 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 50*y**3 - 22*y - 42*y**3 - 19*y**4 + 20*y**4 + (y**2 - 2 + 2)*(0*y**2 + y**2 - 3*y**2) - 2*y - y**4 + 2*y.\nAnswer: -2*y**4 + 8*y**3 - 22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -507*k**5 + 8741343*k**4 - 46387275*k**3 + 89614329*k**2 - 75236490*k + 23268600 = 0. What is k?\nAnswer: 1, 15\/13, 2, 17236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/19, 0.08, -2\/13 in increasing order.\nAnswer: -2\/13, -2\/19, 0.08, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**4 - 6*x**3 + 5502*x + 3*x**3 + 4*x**2 - 5489*x - 3*x**2 to k*x**3 + f*x**4 + j*x + y*x**2 + v and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.3 + -2.89. Let z = -36\/2399 - -4978\/11995. What is the nearest to z in r, -3, -3\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1456 + 440*m - 149*m - 150*m - 142*m + 4587 to the form k*m + i and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 less than -9724.25715879?\nAnswer: -9784.25715879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.051073095 and 289.\nAnswer: 289.051073095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -1571\/465648 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 610 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 82718543899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(58\/174*(-18)\/4)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13137 divided by -3?\nAnswer: -4379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -771603 (b) 2\/7 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101064322 by 1906874.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3008252984 to the nearest integer?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -51 - 2400000*z + 51. Let w be d(2). What is w rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/81? (a) -9 (b) -4.228 (c) 4\/9 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*c - 25, -c + 3*c = -5*k - 34. Let z(r) = -40*r - 39. List the prime factors of z(c).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 1. Let g be k(4). Let p(y) = -y**3 - 6*y**2 - 5*y + 4. Let i be p(g). Suppose 5*f - 47 - 18 = 2*o, -4*f = -i*o - 52. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, -1361, -2739?\nAnswer: -4117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5*sqrt(117))**2.\nAnswer: 150*sqrt(13) + 2950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -266 + 262. Calculate the remainder when 85 is divided by 68\/3 + d\/6.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2856*z**2 - 410*z - 2. Let j(v) = v. What is j(m(b))?\nAnswer: 2856*b**2 - 410*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 - 30 + 30)*(-l**2 + l**2 + l**2) - 2*l**2 - 4*l + 4*l - 5*l**2 - 8*l**2 + 4*l**2.\nAnswer: 45*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27686909, -27686907, -27686905, -27686903?\n\"Answer: 2*y - 27686911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 7) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 7*j - 27 = 3*j, -2*j = 6. What are the prime factors of w?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + -3586?\nAnswer: -3594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 14*r - 7. Let f(a) = 14*a - 6. Let w(o) = -7*f(o) + 6*n(o). Let m(x) = 3*x**2. Determine m(w(b)).\nAnswer: 588*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 3*w**2 + w - 4. What is the remainder when 33 is divided by f(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, v: 2, c: 6, f: 3, w: 2}. Give prob of picking 3 f and 1 w.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 b when two letters picked without replacement from bbprrprbpobnbs.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -202, -219, -236, -253?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13001490, -26002941, -39004390, -52005837, -65007282?\nAnswer: -78008725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.14 (c) -3 (d) 3157648\/7 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 256022233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 292216*j**3 + 315005.\nAnswer: 876648*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 divided by 5?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 1754\/3 and 586 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 157978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (468\/(-702))\/(4\/(-18)). Solve 4*g - f*r = -19, 3*g = -5*r - 19 + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 - 36) + 0 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -17. Let b(p) = 6*p**2 - 13. Let h(g) = -9*g**2 + 19. Let r(o) = i*b(o) + 5*h(o). Differentiate r(a) wrt a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58781 is divided by 7340?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -380 - -751. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/7)\/(2\/28 - 0). Suppose -f*y - 20*y + 64 = 0. Solve 1\/2*q + 0*q**3 + q**4 - q**y + 0 - 1\/2*q**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.9561 - 0.0439. What is the nearest to -11 in v, 3\/2, 5, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.29956 + 2.16966. Let y = b - -0.0199. Round y to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*n = -92*n + 24*n. Is -59\/96 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1627\/2645 + -8\/529. Let w be ((-18)\/165)\/(4\/35). Let i = 6\/11 - w. Which is the smallest value? (a) i (b) s (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 18 = 3*s, 2 = 3*s + 8. Suppose -3*d + n = -2*d. Suppose -4*c + 71 = -d*c + 4*g, 5*c = 3*g + 240. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2633*q + 118 = -2751*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(34)*1)\/(-5*sqrt(32) - sqrt(2)).\nAnswer: sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2166 is divided by 240?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 74326140 divided by 1402380\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4032)\/(-12152))\/36)\/((-16)\/84)?\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 58, 65, 74, 85, 98, 113?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 306.22 - 311. Let x = g + -0.22. Let u = -8 - x. Which is the third smallest value? (a) u (b) 2\/5 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 5*z - 13 = 0, 124*l - 129*l = -3*z - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 9*x**2 + 3*x - 22. Suppose 0 = 5*g - 43 - 2. Let u be y(g). Solve -3 = -5*n + 4*r, -2*r - 2 = 3*n - u*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -653, -0.2, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 102879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629714 is divided by 638.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -2. Let s be (a\/6)\/(2\/(-3)). Let y be 2\/(-6)*6*s. Solve l + 1 = k, -y*l + 4*l + 5*k = 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1001011001?\nAnswer: -1001010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326388.\nAnswer: 2, 3, 59, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -9*b**2 + 12*b + 7. Let t(m) = -11*m**2 + 13*m + 7. Let l(c) = 4*t(c) - 5*u(c). Let g be l(-1). Solve -g*x + 7*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35364 and 68160.\nAnswer: 200867520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**4 - 7072449*q**2*x + 2*q*x + 2647*q + 35*x - 1 wrt q?\nAnswer: -24*q**2 - 14144898*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**2 - 20*f - 39. Calculate m(-7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5791414220?\nAnswer: 2, 5, 2267, 127733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021156 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*w + 44, -23 = -6*h + 4*w + 13. Let a(j) = j**2 - 4*j - 3. Let i be a(-2). Which is bigger: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 + 40. Let n = 32 + i. Calculate the common denominator of 89\/4 and 75\/(-110)*(-40)\/n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 45154*j + 7. Is t(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -189*m**2*z + 3668*m**2 - 4*m*z + 2*m + 69*z - 2 wrt z.\nAnswer: -189*m**2 - 4*m + 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aama when four letters picked without replacement from {m: 1, a: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1637676406 divided by -1\nAnswer: -1637676406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 + 4.849542.\nAnswer: 4.249542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9401441.\nAnswer: 7, 37, 36299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*v + 3. Let t be (v\/(-9))\/(-1 + 0). Put t, 2\/5, -4 in increasing order.\nAnswer: -4, t, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00820453 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 - 8 = -6*z. Let -10*p**2 + z*p**2 + 4*p**3 - 22*p**2 = 0. Calculate p.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/35*2\/(6\/21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 i when four letters picked without replacement from ihihh.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = i + 24, 4*h = -3*i + 9 - 26 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 3*f**2 - 8*f**2 - 8*f**2. Let a(i) = -5*i**2. Give t(a(z)).\nAnswer: -350*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 5*n**2 + 8*n - 12. Let q be r(4). Suppose i = 0, t - q*i = -7*i + 33. Calculate the least common multiple of t and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -z - 1, 3*z - z - t = 3. Let v be (0 + z)*9\/6. Let d = 4 - 11. Let n(g) = -8*g + 6. Let c(x) = -7*x + 5. What is d*c(m) + v*n(m)?\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -t, g = -t - g + 12. Let d(c) = 7 + 5*c + 2*c - t. Give d(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 309 = -3*v. Find the common denominator of 1 + -1 + 16\/7 and (-4)\/(16\/v) + 3.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24063 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30562553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -128824162.\nAnswer: -51529664.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = -2*s + 1178. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/52*1 + 452345\/65 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1811893 and 127714.1?\nAnswer: 127714.2811893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.1 (b) -63\/5 (c) 30 (d) 0.5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/15 and -43\/64?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10312101 (base 5) to base 12.\nAnswer: -431a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 1. Let v(g) = -g**2 + 2*g + 1. Let r be v(-2). Let t = r - -17. Calculate the smallest common multiple of t and s(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2480 - -2482. Which is the nearest to -3? (a) -2\/5 (b) u (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 924 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: -1 (base 5) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - 11. Let q(m) be the first derivative of -3*m**2 - 387. Give q(r(i)).\nAnswer: -6*i + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-1\/7)*u)*u*u*((u\/(u*u**(1\/2)*u)*u*u*u)\/u)\/u*u*(u\/(u**1*u))**(-14))**(2\/109))**(5\/18) assuming u is positive.\nAnswer: u**(1165\/13734)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 11*k + 37. Give o(10).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -721, -2053, -4001, -6541, -9649, -13301, -17473?\n\"Answer: 4*i**3 - 332*i**2 - 364*i - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 16*i + 112 + 32 = -4*c, -5*c - i = 143 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 35 - 13 - 22.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - 4*m + 0*m)*(-138*m**3 - 224*m**3 - 9*m**3) in the form a*m**2 + f*m**4 + g*m + d*m**3 + r and give f.\nAnswer: 1113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21460, 38521, 55580, 72637, 89692, 106745?\n\"Answer: -i**2 + 17064*i + 4397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 22*v - 49. Let a be t(7). Let i be 1\/(-2) - (-255)\/6. Calculate the highest common divisor of i and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218282 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*n - 4*l + 20, 3*n = 2*l - 10. Let q(i) = i**2 + 5*i + 5. Let p be q(-5). Suppose j + p = -n*j. Let w(b) = -b - 8. Calculate w(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -3*i + 13, -7*y - i = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -25. What is the least common multiple of 4 and z?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20379978 by 167049.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*t + 4*t - 44, t - 35 = -4*k. Let n = -7 + t. What is the derivative of n*s + 3 - 11*s - 12*s wrt s?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 4*j**2 - j - 2. Let x = -15 + 9. Let r be 10\/8*24\/x. Does 14 divide z(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i = -41609 + 71000 + 73159. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b + 166 - 166 - 4*b**3 - 2*b**4 as h*b**2 + t*b + u + r*b**3 + o*b**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v + 11. Let l be s(-2). Suppose 0 = -3*i - 3*f + 126, 3*f - l = -5*i + 179. Does 15 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d + 9*d = 21*d - 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/8499966 and -45\/3493.\nAnswer: 59499762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -153.2?\nAnswer: -153.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + sqrt(931) + 1 + 2 + -5)**2.\nAnswer: -14*sqrt(19) + 932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 0*l**4 + 0*l**3 - 7\/2*l**2 - 3\/20*l**5 - 7*l + 0. What is the first derivative of m(k) wrt k?\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(170) - 1*sqrt(170))*-5)\/sqrt(10) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -459*w - 3673. Let l be f(-8). Is -18\/659 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3401 (b) -2\/3 (c) 6\/7 (d) 0.94 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65518419 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**2. Let a(c) be the second derivative of 2*c**3\/3 - 54*c - 1. Calculate a(j(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-28)\/(-35)*2\/10?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00042297 to five decimal places.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (38\/418 + 134\/(-22)). Let v(s) be the third derivative of 0*s**g + 4*s**2 + 0*s + 0 + 1\/420*s**6 - 1\/210*s**5 + 0*s**3. Factor v(z).\nAnswer: 2*z**2*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9531 and 5985?\nAnswer: 6338115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**3\/3 - 9*f**2\/2 + 5*f - 88. What is h(10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102984*u**2 + 13061*u**2 - 15363*u**2.\nAnswer: 100682*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1059 - -121. What are the prime factors of m?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2*g + 14, 0 = c - 6*c + 4*g + 26. Let p = -23048 - -23070. Calculate the highest common divisor of c and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 25*q**2 - 30*q - 61. Let p be d(-18). Suppose 3*n + l = -l + p, -3*n = -l - 8585. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1726, 2043, 2360, 2677, 2994, 3311?\n\"Answer: 317*f + 1409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/3))**(22\/9)\/(c\/(c*c**(1\/3)*c))**(-2\/7) assuming c is positive.\nAnswer: c**(-226\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23164537?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -710, -1421, -2132, -2843?\n\"Answer: -711*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -148284, -5, 430 in ascending order.\nAnswer: -148284, -5, 430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*-1*12\/(-150). Is m <= -2\/1545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -700 (c) 10 (d) -3 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1712 and 6672.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 359*j + 515 = -360*j, p - 4*j - 84 = 0. Calculate the highest common factor of p and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -609\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**3 - 15*g**2 - 11*g - 11. Let h = -13 + 23. Let c be 198\/(-30) - (-6)\/h. Let r(v) = -2*v**3 - 8*v**2 - 6*v - 6. Give c*u(a) + 11*r(a).\nAnswer: 2*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 4:50 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(-21) - 6438\/(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.209749 - 2?\nAnswer: -1.790251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/2*(-12)\/((-132)\/11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.8275 - 1085.9275. Round o to the nearest 10.\nAnswer: -1080","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**2 + 2*r + 2. Let v be s(-1). Let o = v + -3. Let n = 1041\/604 - -4\/151. Which is smaller: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 - -67.29. Let y = -0.69 + s. Let w = 1168 + -1171. Sort y, 0.07, w in descending order.\nAnswer: 0.07, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zziizzooo. What is prob of picking 1 i and 3 z?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 - l**4 + 2*l**4 + 0*l**3 + 4*l**4 + 0*l**3 + 0*l**3 + (11*l - 8*l + 3*l)*(4 - 2*l**3 - 4).\nAnswer: -7*l**4 + 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*g**4 + 2 + (-6*g + 2*g + 3*g)*(g**3 + g**2 - g**2) - g**4 + 2*g**4 + 2*g**4 + (0 - g**3 + 0)*(g + 2*g - g).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/(182\/130).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33752441 + 0.65?\nAnswer: -33752440.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3059846179 to the power of 1\/2, to the nearest integer?\nAnswer: 55316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 157132 or 157133?\nAnswer: 157133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 513*u**3 - 2*u**2 + 2*u - 5. Let o be z(-3). What is o rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -0.5, 5, -4\/73, -6.\nAnswer: -6, -0.5, -4\/73, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1183022, -1183032, -1183044, -1183058, -1183074, -1183092, -1183112?\n\"Answer: -w**2 - 7*w - 1183014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*r + 196*r + 6 + 15*r.\nAnswer: 415*r + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Round -0.4541828 to 3 decimal places.\nAnswer: -0.454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**5\/10 + 7*j**3\/3 - 9*j - 25. Let t(i) be the first derivative of l(i). What is the second derivative of t(b) wrt b?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.28 in -3\/16, 2.85, -5?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 57861660*k*v**3*w**3 + 8*k*w**3 + 5*k*w**2 - 2168*k + w**3 - w**2 - 2*w wrt v?\nAnswer: 173584980*k*v**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 2\/7, -4\/13, -8\/5, -2 in descending order.\nAnswer: 1, 2\/7, 0, -4\/13, -8\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*c**3*z**3 - 7749*c**3*z - 23*c**3 - 313374958*c**2*z**3 wrt c.\nAnswer: 48*z**3 - 46494*z - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/3 and 143\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1680\/13 - -10093\/78. What is the fourth smallest value in -3\/5, s, -1\/16, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 18307 = 3046. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0. Let t = r + -1.1. Suppose -7*w + 6 - 27 = 0. Put t, 0.5, w in decreasing order.\nAnswer: 0.5, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**4 - 19*w**3 + 30*w**2 + 3*w?\nAnswer: -24*w - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y - 5*y = 0. Suppose y = 28*t - 52*t + 4296. Calculate the remainder when t is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 504 and 146080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p - 83 = 5*i, p + 2*i + 23 = 0. Suppose 3*x - 2*x - 19 = 0. Let r = p + x. Solve -5 = 3*y - r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/4*m**5 + 0*m**2 + 1\/2*m**3 + 0*m + 1\/4*m**4.\nAnswer: -m**3*(m - 2)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/2 and -54\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -327*o**5 + 2*o + 162. Let i(c) = 326*c**5 - c - 162. Let g(w) = 3*i(w) + 2*l(w). Find the second derivative of g(v) wrt v.\nAnswer: 6480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufff. Give prob of picking 3 f.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33 - 3 - 15)*(o + 0 + 0) as k + p*o and give p.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((6\/(-10))\/(-1))\/(((-441)\/30)\/(-49)). What is a in 0 - 1\/2*a**3 - 1\/2*a - a**m = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 20. Let o be d + 318\/(-36) - (-10)\/84. Factor -6\/7*k**3 + 6\/7*k + o*k**2 - 4\/7 + 2\/7*k**4.\nAnswer: 2*(k - 2)*(k - 1)**2*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 12584*n**2 - 25174*n + 12588.\nAnswer: 2*(n - 1)**2*(n + 6294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*a + 2*r - 162, 0 = 3*a + 4*r - 238. Let t = -84 + a. Suppose 0 = 2*i - 3 - 7. Solve -x = 5*k - 24, -t*k + i - 1 = -x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 508300504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*(-4)\/(-8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k**3 + 235482 - 235482.\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 80429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10752 divided by -6.\nAnswer: -1792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u - 58 = 4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**3 + 9*o**2 + 39*o - 45 = 0.\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 7, o: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2312397, 2312396, 2312395, 2312394?\nAnswer: 2312393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 728 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -1, 5, -836 in descending order.\nAnswer: 5, -1, -2, -5, -836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -5)\/(-2) + -82. Let x = 161 + z. Suppose -5*v + 11*v = x. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 - 2*h**3 - 90*h - 3*h**4 - 2 + 4*h**2 + h**4 + 92*h in the form f*h**2 + j + x*h**4 + y*h + r*h**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 19 = -3*u, 4*u + 39 = -4*j + 127. Let k = 39 - j. Calculate the greatest common divisor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - l + 8 = -2*l, 3*l - 32 = -5*j. Suppose j*i - 13 + 40 = x, 4*x - 123 = i. Calculate the remainder when x is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1.01. Let d = 0.99 + l. Let r = -1 - 1. What is the smallest value in r, -1\/2, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 11 = 4*p, 5*p - d - 5 = 23 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -42. Let n = 102 + a. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 223320 + 223?\nAnswer: 230203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - 4*sqrt(114)*-3) + sqrt(114))\/(sqrt(726) - (sqrt(726) + 5*sqrt(726) + sqrt(726) - sqrt(726))).\nAnswer: -14*sqrt(19)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 71. Let r(i) = -2*i + 6216. Give -4*c(s) + r(s).\nAnswer: 2*s + 6500","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1270755 and 615?\nAnswer: 52100955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 11101101011111010?\nAnswer: -11101101011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001111100 - 10111?\nAnswer: -101010010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/3 in 1131, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8280?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -8*c - 1. Suppose -8*r = -20 - 92. Let t(v) = v**2 - 11*v - 41. Let u be t(r). Determine f(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-61480)\/280)\/((-1)\/7). Calculate the greatest common divisor of n and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 18972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 754\/(-3393) + (93\/(-27) - -3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(847)*1 - sqrt(35)\/(sqrt(25)\/(sqrt(20)\/sqrt(4))).\nAnswer: 65*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**2 + 217*r - r**2 - 217*r. Suppose 17 = -4*h + a + 70, 0 = -2*h - 5*a - 1. Let n(k) = -18*k - h*k + 18*k. Calculate n(g(q)).\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 948*c**3 + 238*c**2 - 36. Let y(a) = 949*a**3 + 238*a**2 + a - 29. Let b(u) = 4*l(u) - 5*y(u). Find the third derivative of b(f) wrt f.\nAnswer: -5718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49330 = -20*i + 64490. Let z(w) = -i*w**2 + 11381*w**2 - 5689*w**2. Let u(o) = o**2 - 19*o. Give z(u(y)).\nAnswer: y**4 - 38*y**3 + 361*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*q\/q**(3\/17))\/q))\/q*q**(3\/2)*q)**(-1\/4)*(q**(-2\/5)\/q)**(3\/13)\/(q**(-7)\/q**(-1)) assuming q is positive.\nAnswer: q**(46479\/8840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06576 + 3.56576. Which is the nearest to -0.1? (a) x (b) 5 (c) -6 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-7)\/((-210)\/(-9))). Let q = g + -6. Find i, given that 3\/5*i**2 - 1\/5*i**3 + 2\/5*i + 0 - 1\/5*i**5 - 3\/5*i**q = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (19165\/(-1) + 3)\/((-32)\/16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 4, x: 3, u: 1, h: 1, t: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -14*m**2 + 661*m - 1781. Calculate u(3).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1305\/7, -16, 3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 5*g + 5, g = q - 3*q + 1. Is 1\/16 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - -4 - (-1)\/(-1). Let q be (k - 7\/2)*16. Let l be -3*(q\/(-12) + 0). Solve -l*d + 2 = -5*f, 0*f - 3*d + 3 = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3263 and 2865993?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8409.9 - -0.07.\nAnswer: 8409.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 11. Let o be j(0). Let q = 15 + o. Let t = 16 - q. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1880, -7490, -16846, -29954, -46820, -67450, -91850, -120026?\nAnswer: -151984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 304a159 (base 11) to base 5\nAnswer: 2334333432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*m = -143*m + 296*m - 136 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -53600 divided by -10\nAnswer: 5360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3.267 (b) 2\/15 (c) 2 (d) 3 (e) -0.08 (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 233739809\/3 != 77913271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbqbuqqqqbqqbbuqqb. What is prob of picking 1 q and 1 u?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 - 17*g + 46. Calculate q(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 117?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 greater than -74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -0.2, 1\/3, -0.9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 - 18 = 5*h. Suppose 2*z = 5*b - 36, -4*z + 23 = 5*b + 5. What is the lowest common multiple of h and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/(10\/45). Let o(b) = -76*b + 2 + 13*b + 9*b + 2*b**2. Let d be o(27). Solve 15 = 6*z - z, -d*z - 6 = -j*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + 10\/(-110)*376?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20\/3 or 38?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 10. Let p be (1\/(-4))\/((-12)\/96). Let x = 7 - p. Let u be -3*(-1 + 2) - x. Determine k(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*a + 412 - 412 + 0*a + 0*a + a + (-3 + a + 3)*(1 + 2 - 1) - 4*a - a + 6*a to the form n*a + b and give n.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 11*t**2 + 21*t + 14. Suppose 0 = -124*f + 274 - 1390. Give s(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248502 = -2*w + 7*w + m, -2*w - m + 99396 = 0. What is the ten thousands digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-8))\/(6\/(-54996)). Let d(i) = 1 + 1 - 4585*i + j*i. Let l(y) = -y**3 + 4*y**2 + 3*y + 6. Let s be l(5). What is d(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 4*l + 1. Let n be f(0). Which is smaller: -32 or n?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -251*w**4\/4 - 272*w. Let h(b) = -b**2. Give h(q(n)).\nAnswer: -567009*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 + 68. Solve 4*w = 4*b - l*b + 11, 4*w - 17 = 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2. Let a(w) = -33380*w. Determine a(p(c)).\nAnswer: 66760*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/36*(-249)\/(-2). Let u = 134 + k. What is the remainder when u is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -9. Suppose -o*n = -2*n - 6. Let b = 13 - n. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/(-125))\/(60\/75). Let b(n) be the second derivative of -5*n + 1\/33*n**4 + 0*n**2 - 4\/55*n**6 + 0 - 1\/33*n**3 + q*n**5. Let b(j) = 0. What is j?\nAnswer: -1\/3, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2079)\/63 - 14\/(1400\/(-3315)).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -2*(-18)\/(-24).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264209, 1056764, 2377693, 4226996?\nAnswer: 6604673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*j - 35 = -38*j + 61*j - 4*o, 0 = -7*o + 70 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3384, -10, -8, -3 in ascending order.\nAnswer: -10, -8, -3, 2, 3384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -15. Let q = -2 - u. Suppose -4 = -i + q. Calculate the remainder when 29 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 93642084, 187284164, 280926244, 374568324, 468210404, 561852484?\n\"Answer: 93642080*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((-3)\/5 + (-6)\/15)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(99)*3)\/(sqrt(576)*2 + sqrt(576) + -1*sqrt(36)).\nAnswer: -9*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4562320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-2)*(-12)\/(-9). Let l be (-114)\/57*(-6 - -1)\/(-10). Let j(k) = k**3 - k**2 - k - 1. Let w(c) = 2*c**3 + 4*c + 2. Give l*w(n) + p*j(n).\nAnswer: -4*n**3 + 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 130 + 14. Let v = w + -48. Let v + 2\/7*p**3 - 4\/7*p**2 + 0*p = 0. What is p?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 14*r - 4 = 8*r - 4*p - 0, 3*r + 5*p + 1 = 2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262081750?\nAnswer: 2, 5, 7, 31, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (273\/(-78))\/(30\/44)*-30*3\/105\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1710857583?\nAnswer: 3, 443, 429109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**2 + 65 + 26*x + 4*x - 30*x - 3*x**2 to b*x**2 + n + u*x and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from {m: 2, i: 1, h: 1, n: 2, e: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - w + 4 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -141 at least -149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 7, 1, -1084\/13, 1\/7 in ascending order.\nAnswer: -1084\/13, -13, 1\/7, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 4:35 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111399 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -76? (a) -4 (b) -0.2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1588120 divided by -39703?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 720448*f*j**3*k**2 + 28535*f*k**2 - 6*f*k + j**3*k wrt j.\nAnswer: 2161344*f*j**2*k**2 + 3*j**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*p**2 - 2*p - 3*p + 0*p - 137 + 183.\nAnswer: -27*p**2 - 5*p + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/199, 5, 0.3?\nAnswer: -4\/199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1275)\/2 + 0)\/4. Let y = m + 159. Suppose 5*u = u - 4. Does y = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 559 + a2?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*n = -48*n + 194. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.49234 nanograms in grams?\nAnswer: 0.00000001249234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317173297 to the power of 1\/2, to the nearest integer?\nAnswer: 36293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2) + (-3*sqrt(2))**2*5).\nAnswer: 4*sqrt(2) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**2\/2 - l - 7. Let s(v) = 114*v - 7. Let a(d) = 6*r(d) + s(d). Is a(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500579?\nAnswer: 500579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 0 + 1\/10*v**6 + 0*v**2 - 3*v - 1\/6*v**4 + 0*v**3 + 0*v**5. What is the third derivative of k(n) wrt n?\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l + 0*l**2 - 7*l + l**2. Suppose -2*s - 5*n + 14 = 2*s, 5*s - 4*n - 38 = 0. Let p be j(s). Solve -3*v + p*v = 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130824 (base 9) to base 10.\nAnswer: -79402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1081942 by 173.\nAnswer: -6254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 - u + 659*u**4 + 5*u - u**3 - 684*u**4 + 0*u**3 as t + g*u**2 + m*u**3 + x*u**4 + s*u and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 3 + -17 + 29 + -3.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -316756 by 7199.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 246 - 244. Solve -3*r + 5*r + 4 = k*y, 0 = r - 3*y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/((-4590)\/(-243)))\/((-2)\/(-30)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/((-3)\/1) - -4. Let y be x + 69\/(-15) - 18\/(-5). What is the third derivative of 41*h**y - 8*h**2 + 29*h**2 + 10*h**2 + 10*h**2 wrt h?\nAnswer: 984*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/2 - 13*j**2\/2 - 99*j.\nAnswer: j*(j - 22)*(j + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2016 - -36348?\nAnswer: 34332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 - 3*r + 2. Let s be m(1). Suppose 5*z - 3500004 = -3*f - f, -f = -s*z + 1399999. What is z rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 44, 65, 100, 149, 212, 289, 380?\n\"Answer: 7*k**2 + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 235544949 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12002 + 2230002?\nAnswer: 2302010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1703 (base 8) to base 16\nAnswer: 3c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(-1)\/(-3)*-1. Suppose 4*r = -z*r. Let k = 84 + -81. Solve -k*i + i - 10 = r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 0.1136.\nAnswer: 3.1136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02014273 rounded to three dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -72246 <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (1 - (-5 + 8))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 26*z - 7. Let b be a(27). Let w(j) be the first derivative of j**2 - 8*j - 9. Let i be w(4). Solve -4*x + 8 - b = i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 43?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x - 2. Let y(n) = n - 3. Suppose -304*v = -320*v - 32. What is v*s(m) + 3*y(m)?\nAnswer: -m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 8*p - 10. Let m(v) = -28*v - 49*v + 75*v. Determine m(l(h)).\nAnswer: -16*h + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(sqrt(30)\/sqrt(3))*-4)\/(-3*(sqrt(500) + -2*sqrt(500)))*-5.\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v - 132. Let p(j) = -3*j**2. Determine u(p(l)).\nAnswer: -6*l**2 - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3898, 1, 0.2, -99\/5 in increasing order.\nAnswer: -3898, -99\/5, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - k = -8, -3*k - 2*k + 8 = -3*a. Suppose -4*y + 0*y + 44 = 4*n, -2*n = -a*y - 16. Suppose -n + 1 = -x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -6 - (-8 - ((3 + 13 - -14) + -1)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)*b**(-8)\/b)**25\/((b**(2\/9)*b*b)**(-1\/62)*b*b*b**(-5\/2)*b**0) assuming b is positive.\nAnswer: b**(-153151\/558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -232.81 rounded to 0 dps?\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34937 and 1225864?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4650205*h*o**2 + 2*o**2 + 1104*o - 13 wrt h.\nAnswer: 4650205*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 30*r + 208. Suppose -4*v - 5*a + 2*a = -86, 50 = 2*v + 5*a. Let i be g(v). Let j(l) = l**3 - 6*l**2 - 17*l + 12. Give j(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 361 = -5*u, -2416 = -3*t - 2422. Suppose -2*j + 9 = j. Which is the second biggest value? (a) 2 (b) j (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egkw when four letters picked without replacement from {k: 2, e: 5, m: 2, w: 1, g: 2, x: 2}.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55 - -447643?\nAnswer: 447720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 82709? (a) -0.4 (b) 3 (c) -3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.7, 0.1, 2\/93, 5, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.39 + -2.425. Is -0.2 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*((sqrt(243) + (sqrt(243) + 2*sqrt(243))*1 - sqrt(243))*-6 - -2*(-1 + sqrt(243) - sqrt(243))*-6))**2.\nAnswer: -15552*sqrt(3) + 315502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 47*y**4\/24 - 52*y**3\/3 - y**2 - 43*y. Is u(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19151, -19106, -19065, -19028, -18995, -18966?\nAnswer: -18941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 378 * 36.\nAnswer: 13608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/12 - (3 + 140\/(-42))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+62692933\nAnswer: 62692932.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.1212 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**2 + 60581*m + 7223300 = 0.\nAnswer: -119, 60700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 2*q**2 + 4*q - 2. Suppose 10*f - 2*f + 16 = 0. Let u(d) = 2*d**3 + 3*d**2 + 4*d - 3. What is f*u(s) + 3*i(s)?\nAnswer: -s**3 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1848\/4620*110\/(-12).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*d = 7*d. Calculate the common denominator of 126\/(-20) + d\/5 and (-222)\/10*(-10)\/28.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 15877.67ml?\nAnswer: 15.87767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q + 16. Suppose 8 = -8*m + 10*m. Suppose -3*n = m*n - 140. What are the prime factors of b(n)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10350 - 10345. Solve u - n*f + 17 = 0, 4*u + 36*f - 34*f + 2 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3161970043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**2\/2 + 2*b. Let f(z) = 2*z + 10. Let q(a) = -f(a) - 6*i(a). What are the prime factors of q(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.17 and 1.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/27? (a) -2 (b) 3\/5 (c) -0.3 (d) 11 (e) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (15 + (-26 - -57) + 12)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 15) to base 14.\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-1)\/(-2 - (-18)\/8). Solve -w*h = -5*h - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 6207551\nAnswer: -15\/6207551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 13*p**2 + 11*p - 11. Let r be c(-12). Let f(i) = 3*i**3 - i**2 + 2*i - 2. Let g be f(r). Let m = -7 + 8. Solve g*b = -m + 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*c - 154 = 38 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16326909 and 97961454?\nAnswer: 97961454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1074 and 9076911.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + 11)\/((-2)\/(-2878)). Let h(r) = 28440*r**2 + 66*r + 1. Let b be h(1). Let i = b - p. What is i rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 + u + 6. Let l = -4 - -3. Let b(f) = f**2 + 1. Let g(y) = -y**2 + 8*y - 10. Let x be (44\/22)\/(8\/20). Let j be g(x). What is j*b(d) + l*k(d)?\nAnswer: 3*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 11?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 15. Let s(p) = p**3 - 7*p**2 + 5*p + 1. Calculate s(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6934\/90*(-4 - 0)\/(-4). Let a = 77 - n. What is the common denominator of -23\/15 and a?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 1\/735*q**7 - 1\/84*q**4 - 1\/140*q**6 + 0*q + 0 + 12*q**2 + 1\/70*q**5 + 0*q**3. Find b, given that z(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -t - 639*z + 642*z, 91*t + 361 = -z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqcqnncc. What is prob of picking 1 q and 3 c?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 11 - 4 = 0. Suppose 7*h - 54 + 5 = 0. Let o = h + b. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/5))**(-2\/53)\/(((l\/(l*l*l**(1\/4)\/l*l*l)*l)\/l*l)\/l**(-1\/6)) assuming l is positive.\nAnswer: l**(3493\/3180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.1493335 to three decimal places.\nAnswer: 3.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*v + 811116 - 810076 = 0 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5741 - -13773. Calculate the greatest common divisor of i and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 10 = 4*c, -c - 8 = 4*l + c. Let v = 7\/33 - 86\/561. Let b = -25\/136 + v. What is the closest to l in 3, b, 9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -10*f**3 - 2*f**2 - 55*f + 4. What is the units digit of c(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z - 66 = 21. Suppose h - 9 - 4 = -z*r, -4*h = -16. Find g, given that 0*g**r - 2\/3*g + 0 - g**2 + 1\/3*g**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -711.01016 and -96.72.\nAnswer: -807.73016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 26*d + 107. What is the least common multiple of u(-4) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 o, and 1 p when four letters picked without replacement from npkojinpk.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 1. Determine n(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8167*i*m - 10312520*i - 6933*m - 1 wrt m?\nAnswer: -8167*i - 6933","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1212123147 times 0.2\nAnswer: -0.02424246294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {s: 2, l: 9}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 297263?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i**3 + 2*i**3 + 0*i**3)*(i + 5 - 5) - i - 14*i**3 + i**4 + 17*i**3 + i**4 to the form u + p*i**4 + y*i + d*i**2 + c*i**3 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkkakakakkk.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 734741?\nAnswer: -734736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*5\/10 - (-8)\/(-3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 57, 289, 689, 1269, 2041, 3017, 4209, 5629?\n\"Answer: 2*g**3 + 72*g**2 + 2*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/8 - 234\/(-312)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1314148.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 352 + -351. Which is the nearest to 1? (a) -1.1 (b) j (c) 4 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16329 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*(sqrt(119)\/sqrt(28) + -1) + (-3*sqrt(119)*-3)\/(sqrt(7) + (sqrt(700) - sqrt(700)*-3)).\nAnswer: -73*sqrt(17)\/41 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-2 - 5) - (-20 + -10)\/(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105970*0.53.\nAnswer: 56164.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14192\/24*6\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2020 and 30040?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 + 0.1. Let v = 96 - 100. Let a = 0.4 - -1.6. What is the closest to a in v, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-6)\/(-21)*(-35)\/15.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 13. Let d = 9 - t. Let i = 5.032 + -0.032. Which is the closest to 0? (a) i (b) -0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35462140 and 2170?\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 16*m - 22. Is d(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -11*c - 61 + 129. Let h(z) = 18*z + 2. Let t(x) = -234*x - 27. Calculate c*t(q) - 54*h(q).\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -225*o - 337*o**2 + 80*o**2 + 78*o**2 + 10*o**2 - 28*o wrt o?\nAnswer: -338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 806.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 363007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2968, -5938, -8908?\nAnswer: -11878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 163477, 81, -4 in descending order.\nAnswer: 163477, 81, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (425 - 425 - 168*r)*(2 + 2 - 2)*(-4 + 5 + 2) as w + h*r and give h.\nAnswer: -1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22650?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 10:47 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14738 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 180 - 105. Let f be 7\/(-84) + 231\/(-252). Let q be (-60)\/l - (f + 1). Is 1 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202954987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1657*j**2 - 14516*j**2 - 12576*j**2 - 5335*j**2.\nAnswer: -34084*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 73, 14, -113, 2.\nAnswer: -113, 2, 5, 14, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 9*p**2 - 417*p - 1366. Let s be i(-24). Determine l so that -4\/13*l**3 - 18\/13*l**s + 8\/13 - 6\/13*l = 0.\nAnswer: -4, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 3 (c) -4.6 (d) 3\/2 (e) 7\/3 (f) -1 (g) 163\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, -5\/4, 2.3 in increasing order.\nAnswer: -6, -4, -5\/4, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 42*b - 47.\nAnswer: (b + 1)*(5*b - 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1205 or -1206?\nAnswer: -1205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t - 6. Suppose -v = 4*v - 25. Let d(o) = 3*o + 5. Let s(g) = v*n(g) + 6*d(g). Let j(z) = -z**2. Give s(j(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/((-16)\/24)*-5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**2 + 6*j**2 + 2*j**2)*((1 - 3 + 0)*(4*j - 5*j - j) - 160*j + 136*j - 152*j) as g*j**2 + s*j**3 + a + x*j and give s.\nAnswer: -1548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*d + 24*d - 55*d + 25*d + 57*d - 86*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2135343?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = m - 0*m. Let u(c) be the second derivative of -c**3\/2 - 6*c**2 - 2*c. Let s be u(m). What is the greatest common factor of s and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11348236*w**2 + 201 + 11348239*w**2 + 183.\nAnswer: 3*w**2 + 384","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 2*u - 6. Suppose -941 = 316*s - 48743 - 19822. Calculate the remainder when s is divided by k(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1595, 1596, 1597?\nAnswer: 1598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6164015\/267251 + 23\/(-1).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -14*x**2 + 7*x + 214. Determine b(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -65*z + 44384. What are the prime factors of u(0)?\nAnswer: 2, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52*84\/1820)\/(81\/675).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -248543568, -248543566, -248543564, -248543562?\n\"Answer: 2*u - 248543570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from {n: 11, s: 2}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -423\/11, -0.02.\nAnswer: -423\/11, -0.02, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1214588 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 4*g + 1. Let i be q(-4). Let n = 4 - 8. Let j(t) = -t**2 - 6*t - 6. Let l be j(n). Is i < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1376528 is divided by 1992?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1052*h**5 - 4*h**4 + 6634*h**2 - 1 wrt h?\nAnswer: -63120*h**2 - 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -738*y + 951*y + 4373 - 1189 + 6188 = 0 for y.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6819 by 939.\nAnswer: -2273\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -0.6. Let w = r + 0.4. Let a = -0.2 - -0.1. Which is bigger: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 7*z**6\/60 + 33*z**5\/5 + 119*z**4 + 392*z**3\/3 + 497*z**2. Find v such that n(v) = 0.\nAnswer: -14, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23060 and 640.\nAnswer: 737920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 5, 0.158, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w + 98. Let v(r) = 3*r - 22. Let y be v(10). What is the hundreds digit of o(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87955 - -87978. What is the remainder when j is divided by (-2 - -14) + (-1 - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 434025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - 1 - 6)\/((-1)\/7). Let m(u) = -u + 6. Let k(o) = o - 9. What is x*m(s) + 5*k(s)?\nAnswer: -2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 137586 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1746 and 133\/12.\nAnswer: 3492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (0 - 3 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -187.9 + 218.9. Let d = -0.05832 + 32.54832. Let q = p - d. What is q rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 4*c**2 - 6*c + 4. Let w be y(-5). Let j be (159\/w)\/(1\/(-3)). Is (j\/(-2))\/((-1)\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 e, and 2 i when four letters picked without replacement from {r: 1, w: 3, i: 2, v: 1, l: 4, e: 7}.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*4*(sqrt(931) + 2)*-5.\nAnswer: 240 + 840*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 13 = -3*n + 10, 0 = -3*n - 5*i - 11 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 11:17 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 690, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 4*c + 76 - 4*c - 76.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -10*p**7\/7 - 7*p**3\/3 + 3. Find the third derivative of g(l) wrt l.\nAnswer: -1200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3337095\/172 + 19402. Calculate the common denominator of f and -55\/14.\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 9 - 4 = 0. Let j be k*69 + (2 - 5). Suppose 4*o - j = -2. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**2 + 2 - y**3 + 2*y**2 - y**4 - y**3 + 2 + y in the form a + m*y + c*y**3 + u*y**2 + j*y**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11232, 11229, 11226, 11223, 11220, 11217?\n\"Answer: -3*s + 11235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 48*g = -77748. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 125*u**3 - 6*u**2 + 10*u + 10. Let i(d) = 187*d**3 - 8*d**2 + 14*d + 14. Give 7*a(x) - 5*i(x).\nAnswer: -60*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.4 - -304902363?\nAnswer: 304902375.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -655 and 0.033?\nAnswer: -21.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 57152 - 23?\nAnswer: 57129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.05418 and -20761387559.\nAnswer: -20761387558.94582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 616 and 5924303.\nAnswer: 47394424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 5*m**2 + 2*m + 1. Let a be j(-4). Suppose 2*i = a + 9. Calculate the remainder when 17 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 487 + 183 = 67*t. Let p = 5 - 5. Suppose p = 4*k + 16, 3*k - 52 = -2*v + 2*k. Calculate the least common multiple of t and v.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -59*m - 5. Let n be c(-12). Suppose 0 = -3*z - 2*l + n, 5*l = -2*z - 0*z + 465. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9738349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 22*b**2 - 9*b. Let d(i) = 6*i. Determine d(u(z)).\nAnswer: 132*z**2 - 54*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 482.6 rounded to the nearest ten?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-156) - (0 + (1 - -13) - (-344883)\/(-3003)).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffffl. Give prob of picking 1 l and 2 f.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - 8*o - 16 - 7, 33*o = -5*u + 25*o - 19 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**3 + t**3 + t**3 - 1 - t**3 + 1 + (-t**2 + 3*t**2 + 0*t**2)*(0 - 2*t + 0))*(8 + t - 8).\nAnswer: -7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnfffnlnlllll. Give prob of sequence nll.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**6\/120 + n**5\/6 + n**4\/4 + 3*n**3\/2 - n**2\/2 + 1. Let t(x) be the second derivative of y(x). Is 14 a factor of t(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from nnpnsafpss.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4555986 to the nearest integer?\nAnswer: 2134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1561*r + 561*r - 1059*r to b*r + v and give b.\nAnswer: -2059","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.21 in 0, -0.9, 765?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 123 and 347229.\nAnswer: 347229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4244321 - 10?\nAnswer: -4244331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -366*a - 5. Let s be y(3). Let q = s + 2106. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 29*z. Let t be u(23). Let k = 105 - t. Is ((-2)\/3 + 5291\/k)\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -96, -160, -250, -366, -508?\nAnswer: -676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15127 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**4*z - 58*q**4 + 72*q**3*z + 68*q**3 + 160*q**2*z - 18*q*z - 274*q wrt q?\nAnswer: -48*q*z - 1392*q + 432*z + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*l - 109*l = -1372. What is the remainder when l is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1)*(135\/(-70))\/9?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 6*v - 5*v. Suppose -2*h - 62 = v*m, 5*h - 4*m + 127 = -0*m. Let o = -14 - h. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**8\/3360 + z**7\/210 - 23*z**5\/30 - 4*z**4\/3 + 104*z. Let n(k) be the third derivative of b(k). Differentiate n(d) wrt d.\nAnswer: -6*d**2 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8190 divided by -26\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4922 + -1129. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = 23*w - 2520. Calculate the highest common factor of 36 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -14 - 12. Let k = 302 + -306. Let d be (6 + k + -2)\/(-2). Solve -3*q + y = -n, 3*q = -d*q + 2*y + 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 10:53 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(143) - -6*sqrt(143)*-1 - 1*(sqrt(143) - (sqrt(143) + sqrt(143)*-1)))\/(((sqrt(99)*2 + sqrt(99) + sqrt(99))*-2)\/sqrt(9)))**2.\nAnswer: 15*sqrt(13)\/2 + 517\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -254 - -280. What is the nearest to -1 in 0.3, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(5\/4)*n**(-1))**(4\/3)*(n*n*n*n*n*n**1*n*n)**(-5\/11)*n*n**(-2\/7)*n*n**5 assuming n is positive.\nAnswer: n**(788\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68351223?\nAnswer: 3, 41, 317, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5584*a - 5585*a - 5 = -5*c, -5*a + 3*c - 3 = 0. Factor 1\/2*g**2 - 9\/2 + a*g.\nAnswer: (g - 3)*(g + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 + (3 - 4) + 47 + (-51 - -4)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 282758929 to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 14 - 6. What are the prime factors of 516 - (n + 4) - 0?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 4. Let k be g(5). Suppose x - v = k, -6*x + 2*x + 13 = -v. Find the second derivative of -b**4 + 2*b**4 + b**x - 2*b wrt b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1335600064?\nAnswer: 2, 23, 269, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35705, 142842, 321405, 571394, 892809?\nAnswer: 1285650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2608 and 7420412?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9 - 3)\/(-3) + 0. Is s at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*o**2 + 686 - 686)*(-2 + 4 + 0) + 0 + 2 + o**2 + 0 to the form k*o**2 + d*o + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54.26 + 0.54. Let i = k - 28.4. Let b = i - 21. Round b to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.381332ml?\nAnswer: 0.008381332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 52. Let o = 23 + f. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13123 bigger than 13124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 - (-22 + (-3 - -13)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and -10.65.\nAnswer: -0.1065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**5 + 1928*f**4 - 11437212*f**3 + 8204793680*f**2 - 1743129262400*f + 1734935904000 = 0. What is f?\nAnswer: -2223, 1, 580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 5*b - 205. Suppose 0 = 4*w - w + 2*x - 44, b = 3*w - x. Suppose 10*o = w*o - 4. Solve -m - 5 + o = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.2, 1\/8, 125 in decreasing order.\nAnswer: 125, 1\/8, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16.36 - 16.66. Let w = -179 - -1251\/7. Put w, v, -22 in ascending order.\nAnswer: -22, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/(9\/(-1845))*516\/(-1290)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + 150*k - 1326. Let t be b(8). Let x(g) be the first derivative of -3\/32*g**4 + 0*g - 30 + 1\/8*g**3 + 0*g**t. Determine r so that x(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and -0.035?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 65364973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -751*r**2 + 9*r - 91 wrt r?\nAnswer: -1502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -611e7?\nAnswer: -611e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-21)\/6)\/(1\/(-6)). Solve -4*x + h - 5 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**3 + 53*g**2 + 33*g - 10. Suppose -4 = x, -i = -4*x - 16 - 3. Suppose 8*j - 10 = i*j. Calculate the remainder when v(-17) is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 989968433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 + 5*l**2 + 5*l + 5. Suppose 0 = -f - 27*f - 5376. Let x = -188 - f. Let v(n) = -n**3 - 2*n**2 - 2*n - 2. Calculate x*a(h) + 10*v(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 2 + 0)\/(-7 - 336\/(-49)). Put l, -4, 2, 4, 0 in ascending order.\nAnswer: -4, 0, 2, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6430529 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7 + 5*p - 16*p + 12*p + 5*p + 0*p. What is w(8)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6471 (base 11) to base 10.\nAnswer: -8548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r + 12. Calculate the remainder when s(-9) is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 537652559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a decade in months?\nAnswer: 1104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -14*u - 1. Let n be p(-1). Let q = n + -13. Solve q*c + 12 = 4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11849087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*n**2*w**2*x**2*z + n**2*w*x**3 - 2*n*w*x**3 - w**2*x**3*z + w*x**2*z - x**2*z + 19*x*z wrt w?\nAnswer: 24*n**2*x**2*z - 2*x**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**3 + 41*d**2 + 18*d - 52. Let y = -2454 + 2434. Give w(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 + 19868*x**3 - 19873*x**3 + 6*x**2.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 21. Suppose 2*t = t - r. What are the prime factors of (-534)\/(-6) - (t - -6)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 15*p**2 + 16*p + 2. Is i(14) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1088, -1052, -956, -770, -464?\n\"Answer: 5*x**3 + x - 1094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*u - 43. Let d(h) = 9 - 14 + 10 - u*h. Let l(c) = 7*c - 2. What is 4*d(f) + 9*l(f)?\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001 (base 2) in base 5?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 6. Let p(y) = -y + 5. Let j(d) = -5*p(d) + 4*q(d). Let c be j(3). Let a be 1\/1*4\/c. Solve 0 = 3*g - a*g + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f - 33. Let v be h(11). Suppose 5*u - 32 = -2*n, v*u - 5*u = -3*n - 52. Suppose -12 = 4*a, -2*a - u = -k - 0. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**5\/15 - 14*g**2. Let h(r) = 2*r**2. Calculate h(a(m)).\nAnswer: 32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (16\/232)\/(16456\/42108)\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 179238 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 1\/2, -3, -92 in increasing order.\nAnswer: -92, -3, 1\/8, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66201\/50 - -1324. Which is greater: 7 or f?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9603 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250\/12 - (-270)\/1620.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10 times -9.7\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e + -1?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1 + -6*-2*sqrt(363)*-1*4*2)**2 + -2).\nAnswer: -12672*sqrt(3) + 20072442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3479*q**2 - 1459*q - 16. Let c(p) = 6959*p**2 - 2921*p - 28. Let x(b) = -4*c(b) + 7*r(b). Find the second derivative of x(h) wrt h.\nAnswer: -6966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109007398 to the power of 1\/3, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1422*n - 473*n - 473*n - 473*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -181.7 less than -3.2?\nAnswer: 178.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11237917 is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, r: 2}. What is prob of picking 1 n and 2 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 29 = 5*c, 0*v = -2*v + 2*c - 2. Find the third derivative of -658 + 658 + 4*n**v + 16*n**2 wrt n.\nAnswer: 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 192.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k - 76. Let g be i(-16). Let f(p) = -43*p + 2*p**2 + 1 + 44*p + 0 - g*p**2. What is f(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 5) in base 15?\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from yyyjjjjyjy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(312)*-3)\/sqrt(6) - (3*sqrt(1872) - sqrt(52)))\/(-1*3*5*(1*sqrt(4) + sqrt(4))).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1149701683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2262, 9182, 20714, 36858, 57614, 82982, 112962?\nAnswer: 147554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -16) + (-9 + 64 - 46)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 8*p**2 + 10*p + 16. Suppose -k + 2 = -n - 2, -2*k = 2*n - 24. What is the tens digit of r(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 4*w - r - 2, -w + 4 = -2*r. Suppose w = 12*s + 36 + 36. Let d(z) = -255*z + 29. Is d(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 12*i - 2. Let z be m(-7). Let d = z - -122. Calculate the greatest common divisor of d and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40.6 and -255?\nAnswer: 10353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjwwaqwwwttrtwjwjw. Give prob of sequence ajwt.\nAnswer: 3\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.321*-256.5\nAnswer: -82.3365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05722 times -0.069?\nAnswer: 0.00394818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/27 (b) -0.2 (c) 3 (d) -5.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = d - 4*a - 32, -5*d - a = -55. Let g(b) = -2 + 0 + 2 + 2*b - 8. Let u be g(5). Calculate the greatest common divisor of u and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 14*z + 578 = 407 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*d + 58 = 0. Let f = 51 - d. Does 15 divide f\/(-77) - (-214)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 23 - 19)*(2*l - 3 - 13 - 4*l) in the form w + s*l and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**6\/66 + 4*v**5\/11 + 21*v**4\/44 + 2081. Factor l(q).\nAnswer: -q**3*(q - 21)*(q + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 0. Suppose 4*o - 16 = -2*q + 8, -s*q + 34 = 4*o. Calculate the remainder when 29 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, 0.4, -3\/124 in increasing order.\nAnswer: -3\/124, 1\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -5*q**2\/2 + 50*q + 10. Let w be i(9). Solve 0*u = 5*u - w*j - 5, 4*u = -2*j + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**3 - 5*c**3 - c**3 + 2*c**3 + 100*c**2 + 26 - 106*c**2. List the prime factors of b(-11).\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.152892867 rounded to four dps?\nAnswer: 0.1529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f - 39508 = -39524. Solve -z + 2*a = -f, 3*a - 9 + 23 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2972562454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.53 - 1.47. Suppose 3*h + 31 = -4*a, 0 = -2*a - a - h - 17. Sort 4, w, a in descending order.\nAnswer: 4, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (59381 + 1)*(-11 - -10)*-5000. Round j to the nearest one million.\nAnswer: 297000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 - 11*l + 9. Let b(d) = d**2 + 5*d - 4. Let k(y) = -9*b(y) - 4*j(y). Let z be k(-1). Is -1 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.22558*-1452.\nAnswer: -327.54216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 2\/17 (c) 0.3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 6*y**2 + 6*y - 3. Suppose 9 = 5*d - 16. Let m be c(d). Solve 1 = -m*h - z, -5*z = -h - 16 - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-6)\/4*(30\/80 - (-175)\/(-40)) and 64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -826, 1687, 4200, 6713?\nAnswer: 9226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -20147*a**3 + 10*a + 9. What is the thousands digit of g(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 0.09, -2\/17 in decreasing order.\nAnswer: 3, 0.09, -2\/17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -633*x - 12. Is 27 a factor of w(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**4 + 26*l**3 - 112*l**2 + 160*l = 0.\nAnswer: 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39947, -46943, -53939, -60935?\nAnswer: -67931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 137268259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4910256 and 117.\nAnswer: 4910256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/36*((-36)\/10)\/(-3)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10030086447 - 25760536569. Let v = c + 35790623414.99999821. Let p = v + -399. Round p to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 3*a + 15 = 0, -2*a + 12 = 1142*m - 1145*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**4\/2 + 15*d**3\/2 + d**2\/2 - 15*d\/2 = 0.\nAnswer: -1, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-18))\/((-1177)\/642)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*d*l*p + 63*d + l*p + 20*l + 2 with respect to d.\nAnswer: -10*l*p + 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.4, -16, -2\/191, 9.675?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b - 1662. Let h(c) = c - 1735. Let d(t) = -3*h(t) + 2*v(t). Let j(q) = -3*q**2. Determine j(d(u)).\nAnswer: -3*u**2 - 11286*u - 10614483","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 21*j + 41. What is c(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3052445*r**3 + 299485*r**2?\nAnswer: 18314670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 512.5019 weeks in days?\nAnswer: 3587.5133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 3. Let h be (-4)\/112 + x\/(-4). Let b = 0.2 + 0. Which is smaller: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272698658 and 9213.\nAnswer: 3071","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20532791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*h = -57, 4*i + i = 4*h + 48. Let o(s) = 32*s. Let x(d) = -13*d. Let z(m) = i*x(m) + 5*o(m). Let p(j) = -j. Calculate p(z(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 4:00 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6*i**2 + 4. Let d(r) = -13*r**2 - 9. Let v(w) = 4*d(w) + 9*z(w). Let p(m) = -110*m**2. Determine p(v(n)).\nAnswer: -440*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -5. Suppose -5*p - b + 72 = 0, u = p + 2*b - b - 16. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(45)\/sqrt(36) + sqrt(60)\/(sqrt(48)\/sqrt(4)).\nAnswer: -5 + 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.73 in 2\/13, -2, -3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -121\/2 in 5\/4, 0.3, 9, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 11. Let n be i(0). Suppose p = -8 + n. What is the remainder when p is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**6\/780 - o**5\/15 + 13*o**4\/12 - 39*o**2. Determine t, given that q(t) = 0.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0387 - 494621110.\nAnswer: -494621109.9613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**2 - 15*l. Let w be k(4). Let y = 6 - 5. Sort 3, w, y, 0.\nAnswer: 0, y, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -626, -4, 26420 in descending order.\nAnswer: 26420, -4, -626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249353*q + 249339*q - 498640*q.\nAnswer: 52*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -1. Let v(u) = 1 + 3 - 3*u - 5. Calculate the remainder when v(-9) is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-714)\/(-8) - (-5)\/(80\/12). Differentiate -181 - 59*b - s*b - 66*b + 58 wrt b.\nAnswer: -215","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273232322.\nAnswer: 2, 11, 797, 15583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 323030333221 (base 4) in base 12?\nAnswer: 52453a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5916, -0.0107, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 12*b. Let t(i) = i + 4 + 0 - 4. Calculate t(k(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -65*m + 4484. Let l be v(69). Sort l, 1, -5, -6, 13 in descending order.\nAnswer: 13, 1, l, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 - 30*n - 17*n + 5*n**3 + 48*n.\nAnswer: 5*n**3 + n - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxux when four letters picked without replacement from {u: 2, x: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1 = 0, d - 2*q = -0*q + 536. Suppose d = 3*k - 402. Calculate the lowest common multiple of ((-1)\/(-3))\/(13\/k) and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3043443 (base 5) to base 2.\nAnswer: -1100001011010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 + -69. Which is smaller: b or -2\/149?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1604 and 22.\nAnswer: 17644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 111 + 333. Let b = j - 44. Suppose -2*c - b = -4*c. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*y - 5*x - 33 = 0, 0 = -y - x + 6. Let k be ((-2)\/18)\/((-15)\/y). Which is the second smallest value? (a) -4\/5 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -157 + 42. Suppose -l - 19 = 3*p, 4*p + 0*p - l = -a. Let u(z) = z - 6*z - 32 + 18 + 6*z + 11. Give u(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -11 (b) 62 (c) -14\/15 (d) -2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 + -0.8. Suppose 3*u + 21 - 33 = 0. Sort 2\/7, u, a in ascending order.\nAnswer: a, 2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -2 - -2) + (33 - 35). Suppose -2*k + z*f = -894 + 8, -f + 448 = k. List the prime factors of k.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14117976583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1102 divided by -61.\nAnswer: 1102\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -57, -58, -69, -96, -145?\n\"Answer: -t**3 + t**2 + 3*t - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 - 1543 = -k. Let r = -670 + k. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z + 2. Let s be f(1). Suppose -4*y = -s - 7. Solve 0 = a - 1 - y, -3*c + a - 1 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 51, 136, 255, 408, 595, 816?\nAnswer: 1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*3*72\/108. Let r(w) = w**3 - 8*w**2 + 3*w - 1. What is r(a)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 s, and 1 f when three letters picked without replacement from {n: 3, s: 2, a: 1, i: 1, f: 3, z: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 6*g**2 - 4*g - 13. Give n(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + x = -1, 0 = 4*x - 7*x + 6. What is the tens digit of (150\/i)\/(-1 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -47*x. Let b(u) = 1067*u. What is b(j(d))?\nAnswer: -50149*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12750820*a + 12750821*a - 7*a**2 - 66*a**2.\nAnswer: -73*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109957804?\nAnswer: 2, 11, 2499041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/((b*b**(-2\/5))\/b))**(2\/119)*(b\/b**(3\/4))\/(b\/(b**(-1\/2)*b)*b)*(b**(5\/4)*b**(-1\/5))**(13\/2) assuming b is positive.\nAnswer: b**(1577\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38*954998.\nAnswer: -36289924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 68? (a) 1 (b) -2 (c) 2\/9 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3203648, 6407298, 9610948, 12814598, 16018248, 19221898?\nAnswer: 22425548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 + 0.5. Let o(f) = -f**3 + 7*f**2 - 6. Let k be o(7). Let j be (-20)\/k*(-6)\/4. Put j, 2\/9, u in increasing order.\nAnswer: j, 2\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8917 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4.5+0.73366584\nAnswer: 5.23366584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**4\/4 - 1893601*t**3\/2 + 7574401*t**2\/4 - 946800*t = 0. What is t?\nAnswer: 0, 1, 3787200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32762 + 32755. Sort -5, 2, -4, g, 16 in increasing order.\nAnswer: g, -5, -4, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -30, -311, -4\/3, -0.4?\nAnswer: -311","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/3*186\/1085?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 5*b + 8. Let z be 56\/(-9) + 4\/18. Let p be f(z). Calculate the remainder when 28 is divided by (p - 14\/6)*-30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 4. Let z(u) = u + 1. Let n(a) = p(a) + 2*z(a). Suppose -9 = -3*r + 3*b, -3*r - 2*r - 2*b + 29 = 0. Let g be (-4 + r)*5*-1. What is n(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10960, 25619, 40278, 54937, 69596, 84255?\nAnswer: 98914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 2\/9, -2\/11, 6 in increasing order.\nAnswer: -2\/11, 2\/9, 3\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + l = -20, 2*l = -4*o + 2*o + 20. Let q be -8 + o + -1 + -35. Let x = -24 - q. Solve 3*j + 2*j = -x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 467796.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -847*y**6\/30 - 3*y**3 - 23*y**2\/2 - 2*y + 832. Find the second derivative of s(d) wrt d.\nAnswer: -10164*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 133*v**2 + 1317*v - 130. Give z(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 4 (c) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10504 - -15149. Let d be -1 + (-3)\/((-3)\/r). Suppose 5*n - 9856 = d. Round n to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 15383410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**3 - 336*z**2 + 176*z + 57. Is h(122) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -1281*w**4 - 12822*w**3 - 120*w**2 = 0.\nAnswer: -10, -4\/427, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - k - 4, z - 5*k - 20 = 0. Suppose -24 = -z*a - 4*a. Solve a*y = 5*y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/115 and ((-52)\/2080)\/(3\/(-141)).\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - 16*y + 16. Let a be k(7). Solve 5*g - 2*v - a = 0, 5*v + 0*v - 24 = -2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 9 + -7 + -6 + 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 4. Suppose 2*b - 507 = -q, 0*b = b - h*q - 243. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72 at least 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-16) - 18\/(-8). Solve -11*t - 5*t**3 + 3*t + 2 - 2*t**2 - q*t**3 + 14*t**2 + 2*t**4 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 7*g + 14, 4 = -5*h + 4*g - 136 + 117 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*m - 24. Let y(p) = -p**2 + 6*p + 5. What is the smallest common multiple of y(m) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3478*l - 86917. Let b be n(25). Let s be (1\/2)\/((-2)\/(-2112)). What is the highest common divisor of s and b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 + 1.94. Let n = 27.3 + -26.9. Let d = 97 - 487\/5. Which is the nearest to d? (a) n (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228, 2132, 7300, 17364, 33956, 58708, 93252, 139220?\nAnswer: 198244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 23\/21 - (-22)\/(-33). What is the third smallest value in v, -1, 2\/9, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16613, -16593, -16585, -16595, -16629?\n\"Answer: -j**3 + 27*j - 16639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 19 = 39. Solve -s*d + 5*b - 1 = 0, 5*b - 3 - 5 = -3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14\/9? (a) 5 (b) 0.01 (c) -3 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 20*l - 18. List the prime factors of d(26).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 29 = -2*h - 67 + 129, 0 = -3*w - 11*h + 6 - 24 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, j: 1, g: 4}. Give prob of sequence gg.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1538325142 and 22?\nAnswer: 16921576562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322 (base 7) to base 3.\nAnswer: -20001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -b + 3. Let f be b*(-3)\/(-6)*-2. Let k(j) = 0*j**2 + 4*j**2 - f*j**2 + 2*j**2. Let l(m) = -m. Determine l(k(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1805 = -3*p - p - 3*l, l + 1 = 0. Suppose -4*g = -14160 + p. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19a45 (base 14) to base 5\nAnswer: -4041013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2743 + -2741.809. Let w = 1.13 - b. Round w to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 75159.7 milligrams?\nAnswer: 75.1597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26701961269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 + 3*h - 2. Let t(c) be the first derivative of 5*c**4\/4 + 9*c**2\/2 - 6*c + 1069. Calculate -6*t(k) + 17*z(k).\nAnswer: 4*k**3 - 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475)*2 + 0.\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118862182 is divided by 336720.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 241914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3031384 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*u = 0. Let i(a) = -3 + a**2 + u + a**2 + 4*a - 3. Does 14 divide i(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 920523100 rounded to the nearest one hundred thousand?\nAnswer: 920500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5*t + 1, k + 3 = 3*k - t. Let q(g) = 3 + 5*g**k - 9 + g + 6. Calculate q(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**5\/3 + 20*r**4\/3 + 800*r**3\/3 - 2660*r**2\/3 - 3466*r + 4080 = 0. What is r?\nAnswer: -17, -3, 1, 5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*q - 2*x - 7, 4*q = -3*x - 3. Solve -2*d - 6 = 5*c, 3*d - q*c = c + 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163973.\nAnswer: 163973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1226433, -1226436, -1226439, -1226442, -1226445, -1226448?\n\"Answer: -3*c - 1226430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c3 + -1462?\nAnswer: -117d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i + 81 = 12*i. Let s be i\/(-9) - (404\/105 + 0). Let h = s - -1\/21. Which is the second smallest value? (a) -0.3 (b) h (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6573 + 6582. Let i = 0 + -1. Let q(n) = -2*n**2 - 3*n + 5. Let a be q(0). What is the closest to h in a, i, -3\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 2*b + 24, 13*o - 17*o - 26 = 3*b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.463 to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 15 = -6*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence paw when three letters picked without replacement from {w: 3, y: 1, u: 3, j: 1, a: 2, p: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3 = 29. Suppose 3*u = 4*x + 87 - 8, -5*u + 62 = -3*x. Let r be 2 + 4 + (x - -25). Solve 2*a - 2*f + p = 0, r = -3*a + 3*f + f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/704 and 79\/52272?\nAnswer: 209088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4812, 4809, 4806?\nAnswer: 4803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 7*t - 8. Suppose 9 = -4*o + 5*o. Let i be h(o). Suppose i = 5*z, b + 2*z - 6 = -0. Calculate the remainder when 2 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 25 = 3*s, -9*s - 79*l + 31 = -80*l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -486734\/361 at most -1348?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22\/97 in -158, 5, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + (865\/(-50) + 17)\/((-3)\/90). Put -2, 7, -7, o, 2 in increasing order.\nAnswer: -7, -2, 2, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 1:17 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4*z + 8, 0 = -j - z - z + 26. Suppose -55 = -2*g - 5*p, -2*g + 0*g = 4*p - 60. Calculate the greatest common factor of j and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 217133375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - (2 - 0)) + (49 - -2). Suppose -18*m + 10*m = -x. Calculate the remainder when 9 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 41\/2 of a centimeter?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/27? (a) 511 (b) 4 (c) 1\/4 (d) 3\/5 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6716 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1309 by 22.\nAnswer: 119\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.3 + -5. Let l = -9.9 + 10. Let f = u + l. Sort -0.5, 2, f in increasing order.\nAnswer: -0.5, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iviiiiiiu. Give prob of picking 2 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 43.\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 10*d**2 + 5. Let x(c) = -c + 1. Give -h(l) + 6*x(l).\nAnswer: -10*l**2 - 6*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, w: 1, k: 1, u: 1, x: 2, p: 1}. What is prob of picking 1 y, 1 w, and 1 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**5\/3 - 148*m**4\/3 - 476*m**3\/3 + 1048*m**2\/3 + 782*m - 924 = 0.\nAnswer: -3, 1, 2, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hgxvgvbh. What is prob of picking 1 h and 2 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -202107658 or -202107657?\nAnswer: -202107658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 14) to base 15\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 5:09 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 4*k + 6*k + 15)*(-2*k**3 - 3*k**3 + 6*k**3).\nAnswer: -k**4 + 15*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000422111 (base 5) to base 9.\nAnswer: 3627378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) 1.1 (c) 118 (d) 9 (e) 0.5 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -5*m - 6. Let p be 322\/(-4) - m\/14. Let z be 42\/8 + 20\/p. Solve 32 = 4*d - 4*v, -3*d = -z*v - 0*v - 34 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1602?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((-12)\/171)\/(((-460)\/(-2880))\/23)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*s = -2*v - 8, 4*s = -2*v - 8. Factor 2*d - v + 20*d**3 - 10*d**4 + 8*d + 3*d**5 - 20*d**2 - d**5.\nAnswer: 2*(d - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 40.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 809 = 2*o + 3*k, 0 = -o + 3*k + 151. What is the remainder when o is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -16*y - 7. Let o(d) = -17*d - 8. Let f(l) = 6*b(l) - 5*o(l). Let h(q) = -6*q - 1. Calculate 4*f(r) - 7*h(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*n - 18*n - 76. What are the prime factors of -1 + (-2)\/(2\/n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-84)*2*14\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 16*m - 100 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (4 - (4 - 1)) - (-21 + 18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 16. Let s = i - 16.00000028. What is s rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpspllpxllxrxlrxxs. What is prob of picking 1 l and 1 x?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + 4*f + 633, 21*f - 17*f = r - 111. What is the greatest common factor of r and 1595?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.037 in -1\/9, 2, 4\/5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-21 - (-14 - -1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 12*a - 4. Suppose 5*r - 10 = 2*v, v - 5*v = -2*r + a. Suppose r*p = -2 + 12. Sort p, 0, -1.\nAnswer: -1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/5 + 270522*o**2 - 5410464*o\/5 + 5410472\/5 = 0. Calculate o.\nAnswer: -676309, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 2*r**2 + (0*r**2 - r**2 + 3*r**2)*(0 + 1 + 1 + (-5 - 5 - 1)*(256 + 265 - 280)) in the form v + i*r**2 + a*r and give i.\nAnswer: -5300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-280)*-8*(-115)\/207.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - 4. Let q(h) = h**3 + 11*h**2 + 11*h + 7. Calculate q(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + -2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 133, 127, 121?\n\"Answer: -6*x + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-2415)\/(-230))\/((-9)\/(-15))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 - 17a?\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.234463, -5, -1 in increasing order.\nAnswer: -5, -1, -0.234463, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7976, -3\/47 in descending order.\nAnswer: 0, -3\/47, -7976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 1 - 5 - 2 - 7*i. Give c(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 0, 1, -2.\nAnswer: -4, -2, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3 (b) 1\/137 (c) -26 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2184 (b) -4 (c) -2\/5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -179808*k + 179661*k + 147 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 + 105 - 4*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 3. Suppose -3*d + 2*t + 2869 = -0*d, p = 4*d + 2*t - 3844. Suppose -d + 195 = -4*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 19*d**2 - 5*d**2 - 12*d**2. Let l(a) = -23*a**2. What is l(h(j))?\nAnswer: -92*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c**2 - 2*c**2 + 2 + 6*c**2 + 2*c**3 - 6*c - c**4 - 10*c**2 to v*c**3 + n*c**4 + w*c**2 + j + o*c and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a - 2*a**2)*(116273*a - 15*a**3 - 116273*a + 7*a**2) + (a**2 + a**2 + 0*a**2)*(-3 + 3 - 2*a**3) + 0*a + 0*a - a**5.\nAnswer: 25*a**5 - 14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**4 - 100*y**2 - 40 + 13*y**3 - y**4 + 108*y + 23*y**3 = 0 for y.\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 5*o + 15, -k + 179 - 170 = 4*o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224, 485, 784, 1121?\nAnswer: 1496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l - 1. Suppose 0 = -5*o - 580 + 40. Let j be o\/45 + 6\/(-10). Give y(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1246, -1254, -1268, -1288, -1314?\n\"Answer: -3*t**2 + t - 1244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -6021 and 102\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -15*x**2 - 27*x + 254. Calculate m(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.049, -0.074, -2\/7, -4 in descending order.\nAnswer: -0.049, -0.074, -2\/7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*-3*sqrt(11) + -1.\nAnswer: -18*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 2, -8 in descending order.\nAnswer: 2, -8, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44898*l**3*z - 10*l**3 + 2*l**2*z - 2*l*z - 33440*l + 2*z - 1 wrt z.\nAnswer: -44898*l**3 + 2*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 0*z**2 - 7\/45*z**7 + 0 + 2\/5*z**4 + 8*z - 109\/150*z**5 - 4\/45*z**3 + 14\/25*z**6. Determine k, given that c(k) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.3 + 12.3. Let n = 11.4 - s. Let q = n - -0.6. Which is the second biggest value? (a) -1\/5 (b) 3\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*r + 3351 + 482 + 375)*(-1 + 0 + 2)*(-2 + 1 + 3) to z + v*r and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + -1 + (-1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + -1)\/3 - -6. Suppose f*w = -117 - 213. Let c = w + 66. Solve -2*u + 8 = -2*z - c*z, -u = z for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -1\/20*u**5 - 1\/2*u**2 + 0*u**3 + 1\/12*u**4 + 27*u + 0. Let x(c) = 12*c**3 - 2*c**2 + 2. What is 2*m(q) + x(q)?\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -r**3*v + 636*r**2*v - 6*r + 133*v + 818 wrt r?\nAnswer: -3*r**2*v + 1272*r*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*x**6 - x**3 - 407*x**2 wrt x.\nAnswer: -4920*x**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 38 = -3*s, -3*s + 26 = 3*w - 22. Suppose -s = r + 25. What is the common denominator of r and ((-4)\/6)\/(10\/78)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6708?\nAnswer: 2, 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -18?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18977 and -1.\nAnswer: -18977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/10, 1\/3, -34, -2\/15 in decreasing order.\nAnswer: 1\/3, 3\/10, -2\/15, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 1508?\nAnswer: 2\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29649872 is divided by 222?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 2. Let j be v(6). Let c = j + -2. Let p = c + 11. Solve m + 28 = p*z, -6 + 14 = z - m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96*j**3 + 3*j**2 - j - 363.\nAnswer: -576*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + -a33?\nAnswer: -a40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349*i - 467*i = -1665216. Calculate the highest common divisor of i and 378.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11702 is divided by 48?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9829 = 54*z - 70091. What are the prime factors of z?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7 and 178.21?\nAnswer: 185.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-336)\/(-144) + ((-1196)\/396 - -1*(-20)\/90)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 58966*t - 235864. What is m(-4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1297102 divided by 130.\nAnswer: 648551\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = h - 9. Suppose 0 = -y + h + 8. List the prime factors of y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-360 + 351)*(-1)\/(((-3)\/(-42))\/(1\/3))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 14495919?\nAnswer: -14495915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwqmqqqmqm. What is prob of picking 4 q?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*s + 110 = -201 - 64. Solve -9*z - 18 = -6*z + 3*a, -20 = s*z + 3*a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0\/p)\/(((p*p**(-5\/2))\/p)\/p)*p*p\/(p**(-6)*p)*(p*p*p*p*p\/(((p**(-4)*p)\/p)\/p)*p*p*p)\/p)**10 assuming p is positive.\nAnswer: p**215","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 15) in base 4?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 15. What is the second derivative of -3*f**2 + f**2 + i*f + 2*f**2 + 3*f**3 wrt f?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3 - 147\/63. Let y(r) = -r**2 - 10*r - 4. Let o(p) = p**2 + 11*p + 4. Let b(c) = t*o(c) - 4*y(c). Give b(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 90?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 4:02 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -183? (a) -3\/2 (b) 2 (c) -1\/2 (d) 1.7 (e) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2798685209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1179 - 1196. Let t be (3*-10)\/((-14)\/(-8)). Let j = t - n. Which is the closest to 1? (a) -4\/3 (b) j (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 3. Let z be w(-4). Let y be ((-6)\/(-10))\/z*1. Suppose 0 = -f + 122*f - 1573. Which is the biggest value? (a) f (b) 2 (c) y (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h + 4. Let a be x(4). Let w = a + 12. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -10*l**3 - l**2 - 2*l - 13. Let s(w) = 3*w**3 + w + 4. Let c(j) = 13*s(j) + 4*y(j). Give c(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 5 = -i. Let q(k) = 2*k**3 + 10*k**2 - 10*k - 11. Let x(b) = 3*b**3 + 21*b**2 - 21*b - 21. Let w(c) = i*x(c) - 5*q(c). Is w(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1958, -9666, -23090, -42218, -67038?\nAnswer: -97538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 7:55 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 2*l**2 - 9*l**2 - 5*l**2. Let n(i) = -4*i. Give n(a(k)).\nAnswer: 52*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 68\/(-238)*((-14)\/12)\/1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-25))\/(14931\/1260))\/(((-6)\/5)\/3)?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-16)*-2)\/(144\/32)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 314 + -313.8. What is the smallest value in 2, k, 1\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3361909 is divided by 1949?\nAnswer: 1833","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 0.4, -1\/6, 15022023?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 7 + 5. Suppose -4*j + j - 13 = -q, -49 = m*j + 5*q. Let u(z) = z + 5. Determine u(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 122 and 1342.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = h - 3*o - 7, 4*h + 3*o = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 538 + -544. What is the closest to -1\/4 in -5, -2\/3, 4, g?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 30839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 6*w + 2. Let z be t(6). Solve -l = -6 + z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 7*v**5\/10 - v**4\/6 - 6*v - 7. Let g(r) be the first derivative of u(r). What is the third derivative of g(o) wrt o?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from enebbjyybbbybbbbb?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 560 and 514876880?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400051?\nAnswer: 400051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 506610 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 7*w + 52, -2*t + 61 = w + 17 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 332644 (base 8) in base 11?\nAnswer: 771a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122*c + 199*c + 74*c to the form j + a*c and give a.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 630.4685 less than -0.5?\nAnswer: -630.9685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/20*-14*30\/(-45))\/((-7)\/(-10))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(162)*-1*-2 - (sqrt(162) + sqrt(162) + (2*1*sqrt(162) - sqrt(162) - sqrt(162)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k**4 + k**3 + 26713*k**2 - 2*k - 818551?\nAnswer: 8*k**3 + 3*k**2 + 53426*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -103*u**6 + 196 - 179*u**3 + 10859*u**2 + 105*u**6 - 198 + 1136*u**3 wrt u.\nAnswer: 240*u**3 + 5742","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 12) + (-15 - -30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52541 is divided by 13126?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 733968 - 733968 - 3*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.63906 * 0.4.\nAnswer: 0.255624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 1.5, 0.1, -5, -10?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130 + 36. Which is smaller: m or -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 48*v**4 + 840*v**3 + 411*v**2 + 51*v = 0.\nAnswer: -17, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -469, -1867, -4197, -7459, -11653, -16779, -22837?\n\"Answer: -466*d**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 11, r: 3}. What is prob of sequence rkrk?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 4. Let w = 1 - 1. Give u(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331 = 13*j + 71. Differentiate -j - 2*x + 4*x - 8*x with respect to x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1789 + 1787 - 81*w + 247*w in the form q + c*w and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**4\/4 - 4*c**3 - 15*c**2\/2 + 28*c - 65\/4 = 0.\nAnswer: -13, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27602.937 - 27742.014445. Let g = v + 133.0774. Let x = 6 + g. What is x rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2423? (a) 3 (b) -4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 279533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21371 and 1204.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3. Let t be j\/((-12)\/3 + 3). Let r be 3 + -1 + 8 - t. What is the greatest common factor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -482 + 2224 = 13*h. What is the first derivative of h*q**2 - 20 - 274*q**2 - 29 wrt q?\nAnswer: -280*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5318396\/6 + (-1 - -4)*(-3)\/27 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**4\/13 - 4928*g**3\/13 - 3025614*g**2\/13 + 12562120*g\/13 + 234504424\/13 = 0.\nAnswer: -1234, -7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-493911)\/(-56) + (-2)\/(-7) - 22\/176.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1058361791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 2*t - 3 + 3*t)*(6334 + t**2 - 7158 - 2*t**2 - t).\nAnswer: -t**3 + 2*t**2 - 821*t + 2472","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (4 + 1)) + -1 + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19\/168 - -3\/56. Let h = 0.2 + -0.2. Let m = h + 1. Which is the third biggest value? (a) -3 (b) y (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/17, 3\/2, -24, 974, 0.2 in ascending order.\nAnswer: -24, -4\/17, 0.2, 3\/2, 974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 11*q + 4*q. Suppose -s - 1 = -r - q, 0 = s + 5*r - 8. Suppose -s*x - 2 + 14 = -c, 2*x + 4*c - 22 = 0. Let v(w) = -2*w - 6. Calculate v(x).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -1637*d**9\/504 - 217*d**5\/20 - 363*d**2 - 2*d. What is the third derivative of q(b) wrt b?\nAnswer: -196440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.46911 less than -228451?\nAnswer: -228450.53089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 4)*(4 - 1 - 2)*(2*a - 3*a + 4*a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 7) to base 15\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -420161*j**2 + 2123*j + 2123. Let v(b) = 396*b**2 - 2*b - 2. Calculate -2*n(t) - 2123*v(t).\nAnswer: -386*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from dddzzdzdzddzzzdd?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77 and 567.\nAnswer: 6237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16178 is divided by 7609.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11, -6, -33, -70, -117, -174, -241?\n\"Answer: -5*o**2 - 2*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-1 - (-3 - -1)). Let l(w) = -3*w + 3*w**2 - w**2 + 14*w - 3*w**2 - 9*w. Calculate l(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58516 is divided by 9090?\nAnswer: 3976","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*x**3 + 20*x**4 + 15*x**4 + 5*x - 34*x**4 + 370*x**2 - 2 + 15*x**3 as t*x + m*x**3 + c + z*x**4 + g*x**2 and give g.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 2*f**2 - 5*f - 3. Let h(t) = -t**3 - 2*t**2 - 4*t - 2. Let a(y) = y + 8. Let d be a(-12). Calculate d*c(i) + 5*h(i).\nAnswer: -i**3 - 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 6851?\nAnswer: -6850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2926\/(-539))\/((-200)\/(-175)).\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 18 + 298*p**3 - 151*p**3 - 144*p**3.\nAnswer: 3*p**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14831916 by 4.\nAnswer: 3707979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 + -42.5. Let l(m) = 3*m**3 + m**2 - 1. Let a be l(-1). What is the nearest to -0.1 in -0.08, q, a?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**2. Let t(x) be the first derivative of 0*x - 7\/2*x**2 + 5. What is t(p(o))?\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7625\/7 + 343106\/315. Calculate the common denominator of -24\/7 and o.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**5\/12 + 5*p**4\/8 - 5*p**3\/3 - 5*p**2\/2 - 159. Let o(d) be the second derivative of u(d). Factor o(m).\nAnswer: -5*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 8*y + 12. Let s be g(6). Suppose -134 = -2*b - s*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/(21\/(-18)))\/(-2). Solve w*b + 2 + 0 = -2*k, -4*k = -4*b + 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5970, 23999, 54000, 95973?\n\"Answer: 5986*j**2 + 71*j - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25622 - -25621.9924218. What is f rounded to five decimal places?\nAnswer: -0.00758","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/(-384) - -5*(-41636)\/651840?\nAnswer: -2\/291","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*b**2 + 8*b**2 + 265 + 93 - 64.\nAnswer: -44*b**2 + 294","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -558090*k*n**2 + k + 10856 wrt n?\nAnswer: -1116180*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**3 + 133080*l**2 - 1597456*l + 2662560 = 0. Calculate l.\nAnswer: -33282, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1326 and 3040076.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 425596*s**2 + 98444*s wrt s?\nAnswer: 851192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.21 (c) -51 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4697883 milligrams to nanograms.\nAnswer: 469788.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1863, -1685, -1389, -975, -443?\n\"Answer: 59*p**2 + p - 1923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p - 19. Let d = 486 - 470. Suppose 56 = -d*z + 216. What is a(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 805, -106?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4484 and 16316155.\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/h**2)\/h)**(-3)*h\/(h*h**(-9))*h*h**6 assuming h is positive.\nAnswer: h**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*z - 4*z. Let d = z - -3. Let v(p) = p**2 - 19*p + 68. Let b be v(5). Sort d, 6, -1\/3, b in descending order.\nAnswer: 6, -1\/3, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, j: 1, g: 7, z: 4}. What is prob of sequence gjze?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*q**4 + 19*q**3*r - 3*q**2*r + q**2 + 78*q*r wrt q?\nAnswer: 312*q + 114*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/((-3)\/2*8\/(-6)). What is the smallest value in 4, v, 78?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from {i: 6, x: 5, v: 5, r: 2, k: 1, w: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -1, 312\/7 in descending order.\nAnswer: 312\/7, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 5. Let u = m - 0. Let s = -1.23 + 1.33. Which is the third biggest value? (a) -3 (b) u (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(121)*2)\/sqrt(11))**2 - (-1 + sqrt(11) + -3*sqrt(99) + sqrt(11))) + ((5 + (sqrt(539) - sqrt(11)))**2 - (sqrt(66)\/(sqrt(6)*-3))**2)*6.\nAnswer: 367*sqrt(11) + 9671\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3*-6)\/14\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(245\/10))\/(-2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -671100 and -671101 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -j - 90, -372*j + 71 = 2*m - 369*j. Calculate the remainder when 1373 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6 - (-98)\/6. Suppose 0*y - 12 = -4*y. Suppose y*w - 2*w - n = 0. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -654*p**3 - 699 wrt p?\nAnswer: -1962*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 - 664*m**2 - 14826*m.\nAnswer: 2*m*(m - 353)*(m + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-960)\/72 + 14 + 3)*(-3 - 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -1, 2\/7, 1\/11, -1\/5, 0.065, -2520?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0\/r)**(-14\/3)\/(r**7*r**(7\/5)) assuming r is positive.\nAnswer: r**(-56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2678, 2679, 2680, 2681?\n\"Answer: v + 2677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -340, -328, -316, -304?\n\"Answer: 12*w - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1305 - -4906. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**3 - 2*t**3 - 5*t**3 + (2*t - 4*t + 0*t)*(3*t**2 - 2*t**2 + t**2) - 4*t**3 + 3*t**3 + 9*t**3 - 92*t**2 + 92*t**2 + 17*t + 2*t**3.\nAnswer: 4*t**3 + 17*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4598*g + 54 = -4604*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 8:58 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -2. Let b = c - -12. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -1 (c) 4\/5 (d) -16 (e) -2\/4773\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*(3 + sqrt(272) + sqrt(272)))**2.\nAnswer: -236952 - 10368*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*j**5 + 4664*j**3*p**3 + 4*j*p**3 + 3*j*p**2 - j + 89*p wrt j?\nAnswer: -260*j**3 + 27984*j*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 12*d - 17*d - 323 = 0, 3*l + 3*d = 339. Suppose -815 = -2*r - l. Does 44 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**5\/5 - 2*v**2 + 2*v. Differentiate u(s) wrt s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, x: 1, j: 2, d: 4}. What is prob of picking 1 b and 2 j?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 + 1 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 1:08 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3))**(1\/19) assuming f is positive.\nAnswer: f**(2\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j**4\/2 - 123*j**2\/2 - 121*j - 60 = 0. Calculate j.\nAnswer: -10, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 96496609 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -608472 by -27.\nAnswer: 22536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4\/4 - 53*c**3\/2 + 1687*c**2\/4 - 1479*c\/2 = 0 for c.\nAnswer: 0, 2, 17, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.13131243 to 4 dps.\nAnswer: -6.1313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k = -18. Let d be 23 + (-77)\/7 - -54. Let p = d + k. Is p at least -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w. Let z(k) be the first derivative of -7*k**3\/3 - 15*k**2\/2 + 2204. What is b(z(r))?\nAnswer: -28*r**2 - 60*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a - 10 = -16*a. Suppose a*d + 33 = 8, -i - 4 = d. Calculate the common denominator of -31\/4 and (-225)\/(-80) + -3 + i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**8\/784 - 3*s**7\/490 + s**6\/28 + s**2 - 9. Suppose k(d) = 0. What is d?\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 253891 to the power of 1\/2, to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -25*l + 178 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.11 and -18.\nAnswer: -17.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2 - 15*s. Let w be y(6). Is 12 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5136 and 2352?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77191.27 take away -54828?\nAnswer: 132019.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 172 + -172. Let r be 1*(c - 3 - 2). Let o(h) = 3*h - 1. Let a(g) = -6*g + 1. What is r*o(m) - 3*a(m)?\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.94606151 rounded to one decimal place?\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/(-6)*1*-2. Suppose 8 + 7 = u*m. Suppose 0 = -0*l + l - m. Calculate the remainder when 5 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*u - 26 = 0, -6*l = -3*l + 5*u - 64. Calculate the highest common factor of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43.014 and 4.\nAnswer: 172.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 104\/105 and -29\/328080?\nAnswer: 2296560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**4\/17 + 70*g**3\/17 - 171008*g**2\/17 - 27726472*g\/17 - 1082039616\/17 = 0.\nAnswer: -158, -63, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.109 in -4\/7, 52, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**3 - 2*h**3 + h**3 + 179*h**3 + 226*h**3 + 85*h**3 + (0*h**2 + 3*h**2 - h**2)*(2*h + 2*h - 2*h) + h**3 - 2*h + 2*h - 2*h - 2*h**3 + 2*h.\nAnswer: 489*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -4 + -7 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2599, -3254, -4347, -5878?\n\"Answer: -219*c**2 + 2*c - 2382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -2 + (6 - 5). Suppose 0*x = 4*x - 12. Solve m = -l + x*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 0*o**2 + o**2)*(o + o + 0*o) - 54*o**3 + 88*o**3 + 152*o**3 - 5*o**3 + 2*o**3 + 5*o**3.\nAnswer: 192*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 15, 4, -452.9, 3\/8?\nAnswer: -452.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -200999.43 and 399.\nAnswer: -200600.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 4:34 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w**2 - 7*w + 12. Let d(c) = c**2 + c. Let l(t) = 6*d(t) + m(t). Is l(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 6181 = -672. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 24 = -38 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i + 4*i + 0*i)*(63571*i**2 - 63571*i**2 + 995*i**3) in the form f*i**2 + s*i**3 + u*i + z + j*i**4 and give j.\nAnswer: 6965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(-4*s - 3*s + 5*s + s + s - 3*s + 4*s - 4*s + s + (1 - 3 + 0)*(0*s + s + 0*s) + 39*s + 29 - 29 + 10*s - 9*s - 40*s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1910655 is divided by 697.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3433771 - -3433774.400038. Let h = j - 3.4. Round h to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 7*a + 15. Suppose 0 = 6*o - 2*o + 5*f - 24, 5*o = -a*f + 17. Does 2 divide -4 - -7 - (o - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/15 and -32\/265?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*v + 1987 = -2*v, 0 = -3*l - v + 5961. Let r(j) = 2936*j + 164. Let q be r(1). Let t = l + q. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.65 + -0.35. Which is the nearest to 1? (a) w (b) 3\/5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 + 22*j**2 - 259*j + 2015. What is t(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -82.739305 * 0.1.\nAnswer: -8.2739305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**5 + 7*k**4 + 13*k**3 + k**2 - 4*k - 4. Let b(i) = -i**5 + 6*i**4 + 11*i**3 - 4*i - 3. Let j(g) = -4*b(g) + 3*o(g). Factor j(x).\nAnswer: x*(x - 4)*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1112*x - 14896 = 1016*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2862.99996686 - -2863. Round a to 6 decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 222 and 276.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 22 = -2. Let b = 723.6 - 1154.7. Let s = b + 431. What is the fourth biggest value in t, -1\/4, s, -2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 20*m**2 - 9*m - 20. Give j(-20).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -852*b + 385*b + 469*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.011 (b) -3\/4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-22)*16)\/((-44)\/(-242))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spsp when four letters picked without replacement from {s: 7, p: 5}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 29*y + 20)*(-1 + 1 + 2*y**2) + (-3 + 6 - 10)*(4*y + y**3 - 4*y).\nAnswer: 51*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525831 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 786 is divided by 101?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4646720 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222698, 222534, 222370, 222206, 222042, 221878?\nAnswer: 221714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/((-50)\/(-456)))\/((-18)\/(-120)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 425022948 and 8484?\nAnswer: 425022948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -3*b**3\/4 - 3*b**2\/4 + 3*b\/4 - 2. Solve j(g) = 0 for g.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 442910775?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*k + 55*k + 1785*k**2 - 154*k + 54*k.\nAnswer: 1785*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 2*b**2 + 3*b - 13. What is z(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18302 + -17873. What is the remainder when y is divided by 105?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 + 96.953. Let d = c + -0.353. Do d and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(52) + 3) - (sqrt(13) + (3 + sqrt(13))*1)) + -2)**2.\nAnswer: 48*sqrt(13) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201, -412, -623?\nAnswer: -834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + sqrt(7)*-1 + 3)*3)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 5614229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -2 (c) -3 (d) -74\/51 (e) 7 (f) 0.1 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -50, -32, -12, 10, 34, 60?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 2:40 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2210101 - -1?\nAnswer: -2210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 743, -0.04, 3 in ascending order.\nAnswer: -0.04, 1, 3, 743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 28. Let c be q(0). Suppose -n = -4*n - 3. Is 1\/((-2)\/c*n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 617 = -644. Solve y*h + 81 = 54 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + f**2 + f - 18. Let x be z(0). Let i = 37 - x. Suppose 4*m = -m + i. What is the least common multiple of 1 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b - 12. Let g be p(0). Let n = 10 + g. Let m(o) = -3*o**3 - o**2 - o - 3. What is the units digit of m(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 3:02 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13 and 69255761.\nAnswer: 69255748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1784 - 1087 = 99*v - 99 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 421837\/20 + -21097. Calculate the common denominator of 73\/54 and b.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-38)\/(-4) + 4\/(-8). Let i = -50 - -77. Calculate the highest common factor of i and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-17 + -12 + 17)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 34, 112, 242, 424, 658, 944, 1282?\n\"Answer: 26*v**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqlth. Give prob of picking 1 p, 1 q, and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42b5 (base 14) in base 15?\nAnswer: 3637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17443*o + 3 - 17505*o + 1 - 4.\nAnswer: -62*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3225944, 6451910, 9677878, 12903848, 16129820, 19355794?\n\"Answer: z**2 + 3225963*z - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -1\/360*u**5 + 10*u**2 + 0*u + 1\/36*u**4 + 1\/9*u**3 + 0 - 1\/720*u**6. Factor y(x).\nAnswer: -(x - 2)*(x + 1)*(x + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3964617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 643985490?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 874851.2 nanometers in kilometers?\nAnswer: 0.0000008748512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 2 + 0)*(w + 2*w - w)*(447 - 227*w**2 - 447) to t*w**2 + v + q*w + x*w**3 and give x.\nAnswer: 4540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 15*p**2 - 17. Let o(f) = 5*f**2 - 6. Suppose 0*l - 3*l - 18 = 0. Let r(s) = l*t(s) + 17*o(s). Let u(i) = -i. What is r(u(q))?\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - -5) + (-2)\/(-2) + 0. Suppose -19*g + 18*g + 129 = n. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*a**2 - 5*a**2 - a**2 + (-44 + 5*a + 44)*(13*a - 22 + 22).\nAnswer: 80*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4828 - 13*s - 4828.\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, c: 7}. What is prob of picking 4 w?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 5\/6*a**3 - a**2 - 1\/60*a**5 + 0 + 0*a + 0*a**4. Let m(x) = -3*x**2 + x**2 + 5*x**2 - 14. Give -3*m(i) - 8*p(i).\nAnswer: -i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -107953*k**4 - 4*k**2 + 2*k - 70909?\nAnswer: -1295436*k**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/9)\/((-4)\/6*1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226557130?\nAnswer: 2, 5, 17, 23, 57943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 6*b + 114 = -a, 0 = -2*a + 2. What is the second biggest value in b, -2, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w = -12*w - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 43?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*o - 38*o - 46*o)*((0 - o + 0)*(2 + 2 - 2) - 3 - 2*o + 3 + o + 5*o - 4*o - 3*o - o - 2*o - o) to the form q + p*o + w*o**2 and give w.\nAnswer: 585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/30*-40*45\/(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a kilogram in grams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.11 - 84.89. Let r = -85.01 - q. Let d = -0.04 + 3.04. Which is the second smallest value? (a) d (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -3*k**5\/10 - 15*k**2\/2 - 6*k. Let i(q) = -q**3 - 2. Give -15*i(y) + 2*r(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 370909 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 15 - (0 - 1) - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2\/6 - l\/6 + 5 = 0. What is l?\nAnswer: -6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94290 by -1123.\nAnswer: 94290\/1123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2409614 is divided by 1366?\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 666042773?\nAnswer: 11, 60549343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100 + -131. Let a = s - -724. Does 36 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/4, 1\/4, 0.1, 2\/23, 3\/95666?\nAnswer: 3\/95666","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, b: 4, y: 6}. What is prob of picking 2 b and 2 y?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 138\/7 - 18\/(-63). Suppose -f - 40 = -4*w - 2*f, 2*w - 4*f - u = 0. What is the tens digit of 88\/9 - w\/(-45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5937.8 * -2.\nAnswer: 11875.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 547 and 2801544191?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*b + 126*b - 2*n = 2, 0 = -2*b - 4*n - 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15, 25, 45, 81, 139, 225?\n\"Answer: j**3 - j**2 + 6*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + q + 742 = -q, -b + 4*q = -203. Let f(s) = -b*s + 183*s - 4 + s**2. Give f(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.3 (b) 35\/6 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 1:23 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4144060*b**3 + 963986*b + 2 wrt b.\nAnswer: -24864360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*t - 638 = 286*t for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73967377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkn when three letters picked without replacement from nkeekeenaneekak?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2880*y**3 - 4*y**2 - 3*y**2 + 7*y**2.\nAnswer: -2880*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205777, 205770, 205763, 205756?\nAnswer: 205749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**2*o**3 - 591*k**2*o + 12705*k**2 + 21*o**3 + 25*o**2 + 16*o + 724 wrt k?\nAnswer: -4*k*o**3 - 1182*k*o + 25410*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9.728? (a) -0.2 (b) -0.1 (c) -2.6 (d) 3\/5 (e) -0.5 (f) 33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -10*q - 46. Suppose 3 = -d + b, 6 = -4*b - 10. Let v be u(d). Solve 21*f = v*f + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4608, -18377, -41326, -73455, -114764, -165253, -224922?\nAnswer: -293771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14058, -14060, -14064, -14070, -14078?\n\"Answer: -b**2 + b - 14058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + (6 - 6 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/28 and 157\/252?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85212*l**3*r**2*u - 146*l**3 + 3*l**2*r**2 + 3*l**2*r - 2*l**2*u - 302*l*r**2 + 5*l*r wrt l.\nAnswer: -511272*r**2*u - 876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-7) + (-160)\/112.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35 + -20)\/(1*3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - r**2 - 3*r - 4. Let t be v(3). Solve -3*y - 2*y = 5*n + 10, 13 = -t*y - 2*n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhrofhrmo. What is prob of picking 1 b, 1 r, and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b*g**2*q*t + 5*b*g**2*t - 2*b*q**2*t + 8*b*q - 21*b*t + 1557*g**2*q**2*t - g*q**2*t + 4*t wrt g.\nAnswer: 2*b*q*t + 10*b*t + 3114*q**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -93789408*a**2. Let q(p) = 4*p. Give q(s(z)).\nAnswer: -375157632*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*l*r**2 - 2*f*r**2*y**3 - f*r**2*y + f*r*y**3 + 98*l*r**2*y**3 - l*r**2 + 20*r*y**3 wrt l.\nAnswer: 2*f*r**2 + 98*r**2*y**3 - r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42171869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-3)\/r)\/(r\/(r\/(((r**15\/r)\/r)\/r*r))))\/(((r**2\/r)\/r*r)\/(r**(5\/8)*r)) assuming r is positive.\nAnswer: r**(-115\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 159 = 2*v, -5*n + 4*v + 155 = 418. Let w(l) = l**3 - 6*l**2. Let b(t) = -10*t**3 + 55*t**2. Calculate n*w(u) - 6*b(u).\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**2 + 212 + g**2 + g**2 - 6.\nAnswer: -4*g**2 + 206","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1fb + 1?\nAnswer: 1fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - (4 + -2)) + -2. Let i(a) = a**3 + 6*a**2 + 3. Let v be i(-6). Sort u, -5, v in descending order.\nAnswer: v, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 + b + 71*b**3 - b**2 + 2*b - 2*b - 151*b**3 + 73*b**3 to the form c*b**3 + f*b + p*b**2 + n and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 34293.\nAnswer: -1\/34293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6556 + 6188 = -16*a for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-5)*-10*(-4)\/108\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 + 59 - 2*n**3 - 6*n**2 + 14*n**2 + n - 8*n**2 + 5*n**3 to i*n**2 + f + a*n**3 + y*n and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1843 + 27 + 218 + 29*i**2 - 30*i**2)*(0*i**2 + 4*i**2 - 2*i**2).\nAnswer: -2*i**4 - 3196*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 109937483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002761 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -9*q**2 - 9*q - 14. Give p(-2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 146781761 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v - 4. Let c(s) = -5*s + 3. Let i(w) = -4*c(w) - 3*d(w). Let b(z) be the third derivative of 3*z**5\/10 - z**3\/6 - 2*z**2. Determine i(b(u)).\nAnswer: -18*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/((8\/(-30))\/((-12)\/(-30))). Let i be 3\/1 - 2 - (-18)\/b. Put -2, i, -3, -12 in descending order.\nAnswer: i, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 889*b**2 - 441*b**2 + 29 - 144 - 447*b**2. Let c(i) = -i**2 + 2*i - 3. Let m be c(2). Give n(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -5*b - 12. Suppose 4*y - b*y + 627 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5761642 to the power of 1\/3, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67 - (83 + 29526\/(-1843)).\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-16 - 11 - -1) + -13.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36947174 a multiple of 1112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68396, 136767, 205136, 273503, 341868, 410231, 478592?\nAnswer: 546951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*h**2 - 439*h + 210*h - 41*h**2 + 229*h - 14*h**2.\nAnswer: -146*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 13*q - 38. Let v be s(8). Suppose 4*t = v*g + 2, -2*t - 5*g = 3*t - 40. Solve -o = -3*o - u + 12, -t*u - 19 = -5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8*v + 122. Let r be k(15). Let c = -0.14 - 0.36. What is the nearest to r in -2\/5, c, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392758 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8021 + 0.0965. Round a to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.15 - -0.15. Which is the closest to -0.1? (a) 5 (b) 1\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -8)\/(1\/(-2)) + 2590 + -2619?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -645034 - -1038332. Suppose 0 = 3*t + t - 2*l - 1045186, -2*l = 2*t - 522602. Let p = h - t. What is p rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 14*t + 38. Let f be p(-16). Solve 4*k - f = 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 309.3684ml?\nAnswer: 0.3093684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*l - 34. Solve 38 = l*h + 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 185 - 125. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -36. Let u(d) = 9*d**3. Let f be u(1). Let v = f - -1. Solve -o - v = 3*w, w - h = -3*o - 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11560288774 minus 0.527?\nAnswer: -11560288774.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*y + 4*p + 19, 0 = -y - 3*p - 18. Let v be (-5 - (-2 + y))\/2. Solve -b - 4 = -v*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 5:20 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from {i: 1, f: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 42 = 4*m - 6*m, -m = -3*p - 29. Let i be 4\/10 + (-6)\/p. Let h be -1 + 4*i\/2. What is the closest to h in 0, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.1 + -0.1. Let r = 19.9553 - -0.0447. Put b, -5, -3\/5, r in descending order.\nAnswer: r, b, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 7*f - 6. Let g be r(4). Is 3\/g*-4 + 225 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -3, 8.\nAnswer: -3, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from illlillllllllillli. Give prob of sequence ili.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4051 + 4055. Solve 74 = -r + l*y + 49, 0 = -2*r - 5*y + 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-14 - 11) + 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**4\/2 + 33*w**3 + 162*w**2 + 300*w + 192 = 0. What is w?\nAnswer: -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 372 - -57. Is r a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -22, -24, -22, -16, -6, 8?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a - 3*a**2 + 6*a + 59 + 4*a**2 + 6*a - 2*a. Does 5 divide v(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206, 391, 1362, 2707, 4426, 6519?\nAnswer: 8986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 5*w - 2*w)*(-w**2 + w**2 - 2*w**2) - w**3 - 4883736*w + 4883682*w + 0*w**3 + 9.\nAnswer: -5*w**3 - 54*w + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 846822743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -255 + 260.46. What is h rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27015, 54032, 81049, 108066, 135083, 162100?\nAnswer: 189117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/4)\/n)\/n*n*n*n**(-4)*(n\/(n*n*n**(4\/3)\/n))**12 assuming n is positive.\nAnswer: n**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-70)\/30)\/((-14)\/(-24)))\/((-8)\/(-2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132825940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1 + 3*n + 2 as j + w*n and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**5 + 750*z**4 - 4380*z**3 - 9083640*z**2 - 244110720*z - 1676373888 = 0. What is z?\nAnswer: -164, -14, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 350410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 c when three letters picked without replacement from mcjui?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 20 = p, -7*p + 3*v + 15 = -4*p. Let g = 5 - p. What are the prime factors of g\/2*(-6)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**3 + 17*l**2 + 9*l - 7. Let u(i) = 4*i**3 - 16*i**2 - 8*i + 8. Let d = 108 + -113. Let y(a) = d*u(a) - 4*z(a). Let y(w) = 0. Calculate w.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-16)\/12 + 1)\/(8\/(-642888)) - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/109334964 and 137\/54667482?\nAnswer: 109334964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -97, -196, -295, -394, -493, -592?\n\"Answer: -99*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15 - 151ae?\nAnswer: -15199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -100*z**4 + 145780*z**3 - 50952776*z**2 + 40692272*z - 8133792 = 0. Calculate z.\nAnswer: 2\/5, 579, 878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -16703849.3 rounded to the nearest 100000?\nAnswer: -16700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20489 + 36*t**2 - t**2 - 22*t**2 - t.\nAnswer: 13*t**2 - t - 20489","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510328379?\nAnswer: 11, 61, 760549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*i + q = -128, 0 = -3*i - 2*q + 364. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 513*v + 10776. What is n(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, 558, -41, 0, 2 in decreasing order.\nAnswer: 558, 58, 2, 0, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -84060612*k + 129895469 wrt k?\nAnswer: -84060612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**4\/2 + 5*a**3\/6 - a**2\/2 - 12*a. Does 15 divide l(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.9 - 3. Let d = -5.7 - -2.3. Let q = -2.6 + d. What is the third smallest value in q, u, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1666 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/5 + -3)\/((-21)\/(-45)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 574*j**4 + 5529*j - 6706. What is the first derivative of t(d) wrt d?\nAnswer: 6888*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-2))\/((-1245)\/498)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -56 - 4555\nAnswer: -4611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 a factor of 68551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 114601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001553 rounded to 5 dps?\nAnswer: -0.00155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87053 * 0.08.\nAnswer: -6964.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xyxx when four letters picked without replacement from xyyyyyyxyyyyyxyyyyx.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -261.23 - -162.8. Let r = c - -242.01. Let j = r + -140. Round j to 1 dp.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -1.41, 13, -2\/17 in descending order.\nAnswer: 13, -2\/17, -1.41, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 41. Suppose -p*b = -5166 + 1083. Suppose 41*q - b = 40*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/218 and -9\/4.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, 343, -0.4, -7\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2032405153?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 959 = 5*r + 4*y - 93, 9*r + 3*y - 1881 = 0. What is the highest common factor of 160 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((5 + -4*(sqrt(72) + 0))**2*-5 - -2*-6*(sqrt(72) + ((-1 + sqrt(72))*2)**2))*5.\nAnswer: -51120*sqrt(2) + 281670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 616.\nAnswer: 1\/616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367913.\nAnswer: 7, 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 192*t**3 - 56*t**3 + 4*t - 56*t**3 - 58*t**3 - 48*t**3 as i + r*t + z*t**3 + p*t**2 and give z.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 0 + 0*t**3 + 0*t + 1\/24*t**4 - 2*t**2. Let v(s) = -12*s**2 + 14*s**2 - 10*s**2. Give a(v(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/188 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 e when two letters picked without replacement from sbbsbsbswbbsesbeeee.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-25)*5 + (-6)\/(-10)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1053768488*j**3 + 292905042*j**2?\nAnswer: -6322610928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 5*x**3\/3 - 11*x**2\/2 + 37*x + 51. What are the prime factors of p(-7)?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*n + 141*n = -18680. Let f = 949 - n. What is the greatest common factor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 - 262*f**2 + f**3 + 2 + 4 - 6 as v*f + a + n*f**2 + p*f**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5938 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 9*d + 6. Let l be u(7). Let f be 2\/4 + (-6)\/(-4). Suppose -f*y = 3*y - l. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(3*4\/(-24)). Suppose -3*h = x + 8. Is h\/(-9)*(-531)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4657 - 1492?\nAnswer: -6039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9373, -9367, -9361, -9355?\n\"Answer: 6*k - 9379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 86 - -3?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1378480 divided by -40\nAnswer: 34462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, -7, -1, 1\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6100 - -6097.8104. Let p = 7.6 - 7.6404. Let h = c + p. What is h rounded to one dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -11*g**2 - 5*g - 1. Let o(q) = 1 + 0 + 346*q**2 + 10*q - 335*q**2 - 4*q. Determine 6*k(f) + 5*o(f).\nAnswer: -11*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 23*p + 5. Let g be k(0). Let m(n) = -n - 5. Let f be m(-4). Sort f, g, -23, 3 in decreasing order.\nAnswer: g, 3, f, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1073997*a = -1073998*a + 13*p + 408, 4*a - p - 51 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*r = 5*t - 54*r - 8, -5*r + 4 = -3*t. Put -4, t, 1\/4, -4\/3 in increasing order.\nAnswer: -4, -4\/3, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200256 to the power of 1\/2, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18073, -72270, -162597, -289054, -451641, -650358?\nAnswer: -885205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -793295.8 - -1.967\nAnswer: -793293.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 445887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**6\/90 - c**5\/60 - c**3 + 4. Let g(m) be the third derivative of l(m). What is the second derivative of g(r) wrt r?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132778979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/2220 and 31\/222.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002854 rounded to six dps?\nAnswer: 0.000285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 416, 9, -1 in ascending order.\nAnswer: -1, 9, 416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/12221 and -26\/34441.\nAnswer: 378851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 - 49*n\/4 - 279\/2.\nAnswer: -(n + 18)*(n + 31)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - s**4 + 0*s)*(234 - 240 - 4*s - 4*s).\nAnswer: 8*s**5 + 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8052 + 46820. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 226, 447, 756, 1153?\nAnswer: 1638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = 7*r + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92757840 to the nearest integer?\nAnswer: 9631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52 + -1 - (4 + -4)) + -2050 + 2060.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: (114\/(-76))\/(270\/24)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*q + 2 = -46*q + 2*b, 2*q + 44 = 16*b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 5*y - 11. Let f(c) = 5*c**2 - 18*c - 3 - 3 - 4 - 24 + 34*c. Let m(h) = -3*f(h) + 8*q(h). Give m(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -243506*f**4 + 18*f**3 + 24*f**2 + 251*f + 236 wrt f.\nAnswer: -5844144*f + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 108 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 2372300.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(0 + (-6)\/(-27)). Let i = -7 + b. Solve -16 = -6*v + i*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 - 199*k - 6 + 6.\nAnswer: 4*k**2 - 199*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 146 - 90. Solve -4*u**3 - p*u + 56*u + 4*u**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k - 10*k + 9*k - 64 + 69 - 5*k.\nAnswer: -10*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4*54\/((-3132)\/(-58))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 + 15*g**2 + 8*g - 1. Suppose 0 = 8*v - 10*v - 14. Let a be n(v). Let i be (3 - -1)\/(a\/(-10)). Solve 2*c = 2*u - 5 + 19, i*c - 11 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 69*k**3 - k**2 - 18*k + 18. Calculate q(1).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -240, -403, -566, -729?\nAnswer: -892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 942005643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/22*-11*(-114)\/(-133)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2. Let j(v) = 609*v - 56. Let a(d) = 76*d - 7. Let g(p) = 49*a(p) - 6*j(p). Let b(n) = 47*n - 5. Let l(f) = 7*b(f) - 5*g(f). What is l(h(c))?\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14520 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -75*z**2. Let q(s) = 11*s. Determine q(m(y)).\nAnswer: -825*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**(1\/2)*g))\/g*g**(5\/9)*((g*g\/(g**(-8\/9)\/g))\/g*g)**(2\/11) assuming g is positive.\nAnswer: g**(151\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 + 59. Solve x = 2*d - 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 54 - 14906?\nAnswer: -14852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**2 - 15372*x = 0?\nAnswer: -15372, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -426, -476, -522, -564, -602, -636, -666?\n\"Answer: 2*h**2 - 56*h - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-3) + 52\/6. Suppose 3*x + 2*w = w + 6, w = 4*x - 8. Suppose -2*n = x*n - k. What is the closest to 1 in n, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -7 (c) 0.1 (d) 1117 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u + 15. Give o(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 - -39. Which is smaller: v or -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3819\/8 + 478. Let c = 7401\/4 + -1837. Find the common denominator of l and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 c when two letters picked without replacement from ccmccccbcm?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 13, -4, 2\/17 in descending order.\nAnswer: 13, 2\/17, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 261216.856 to the nearest one thousand.\nAnswer: 261000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u**2 + u. Let l(s) = -95*s + 70. Let k(t) = -8*t + 6. Let w(y) = 35*k(y) - 3*l(y). Calculate w(v(n)).\nAnswer: -25*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 4*i**2 + 2*i - 8. Let m be f(4). Which is the nearest to 0? (a) 0.1 (b) 2\/5 (c) 14 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 + 24 = -2*d + 3*k, -2*k = 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 6, 0 = 3*h + 3*o + 29 - 14. Let d(y) = 3*y**2 + 24*y + 13. Give d(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-60)\/(-105) + 0 + (-3562)\/(-14). What is the greatest common factor of c and 170?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 84 + -82. Suppose 0*q + 5*a + 28 = 3*q, -3*q - a - 2 = 0. What is the nearest to 4\/7 in q, 0.1, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u**2 + 8*u + 2*u**2 + 6*u - 18*u**2 + u**3. Let b be f(11). Let q be ((-3)\/b)\/((-2)\/4). Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -14*y + 2. Let r(n) be the third derivative of -n**5\/30 + n**2 - 75*n. Give l(r(t)).\nAnswer: 28*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 219205 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 46395, 46329, 46173, 45885, 45423, 44745, 43809?\n\"Answer: -7*d**3 - 3*d**2 - 8*d + 46413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (154\/275)\/((-61)\/(-1525))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 38, 1\/34, 0.41?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 7227*i**2 - i - 14391*i**2 + 7198*i**2 + 5*i.\nAnswer: 34*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence blb when three letters picked without replacement from {m: 9, b: 3, p: 2, l: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (-1*sqrt(70) + sqrt(70) + sqrt(70))\/sqrt(10) + 1 + sqrt(7) + -1)**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1773\/14 + 132. Let i be 4\/(-8) + 82\/596. Let n = i - 10661\/596. What is the common denominator of n and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*d - 7*d - 14 = 0, 0 = 2*k + 2*d - 20. Solve -j - 2*s - k = 0, -5 = 3*j + 4*s + 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 12:11 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r - 75*r**2 - 72*r**2 + 140*r**2 in the form v + w*r + i*r**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 11*z**2 + 1. Let t(q) = q**2. Let u be 4*15\/40*4. Suppose -2*d + 10 + 4 = -4*l, d - 5*l = 19. Let k(j) = d*g(j) + u*t(j). Calculate k(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 4:56 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -789471 = -2*x + 370529. What is x rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-282)\/(-20)*(-64)\/864 and -103\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.073 - 0.027. Let r be (10\/3)\/((-102)\/8901). Let f = -291 - r. What is the second biggest value in f, d, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 + 1 + 0*l**2 + 0 + (46 + 38*l - 46)*(-2*l - 2 + 2) + 1 - 1 + 3*l**2.\nAnswer: -72*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9*v + 110. Let k be x(7). Suppose 10*s - 87 + k = 0. Let r(b) = 2*b - 2. Calculate r(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289*z - 10*z**2 + 527 - 498 + 289*z.\nAnswer: -10*z**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**2 + 572610*z - 16394110605 = 0. Calculate z.\nAnswer: 57261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -0*z - 25. Let b = z - 2. Is 6 a factor of -1 - b\/(9\/(-39))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44266440 divided by -4395?\nAnswer: -10072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 403*h**2 + 138*h - 28. Is o(81) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 310*l - 28. Let n be a(1). What is the greatest common factor of 94 and n?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 3)\/((-9)\/6). Suppose -4*a + 2*a = o. Is a >= 4\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3710 - 10748 = -391*z for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/13938722 and -1\/21903706?\nAnswer: 153325942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 6. Suppose -3*z + 2 = -3*p + 32, 3*z = -y. What is the least common multiple of 5 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50587 greater than -50741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -41814 and -8.9?\nAnswer: 41805.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -893.108 - -893. Which is smaller: 1\/4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10)*((-25)\/(-2))\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 6*i + 3. Suppose 0 = -3*t - x - 2*x + 30, t = -4*x + 22. Let k be l(t). Let c(n) = n + 2. List the prime factors of c(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1488772, 1, -1 in ascending order.\nAnswer: -1, 1, 1488772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*i**2*o**2 + 157*i**2*o + 193*i - 355729063*o**2 wrt i?\nAnswer: 22*i*o**2 + 314*i*o + 193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*m - 465 = 73*m. What is the greatest common divisor of m and 5983?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -7*j**4\/12 - j**3\/3 - j**2 + 2*j + 6362. Let b(o) = -6*o**2 - 3*o - 1. Determine 5*b(z) - 4*i(z).\nAnswer: -2*z**2 - 7*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 21280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddiidicwddd. Give prob of picking 1 c, 1 w, and 1 d.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-10)*(198\/27)\/(-11).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -5*t**4\/2 + 28*t**3\/3 - 81*t**2\/2 - 5*t + 694. Find the second derivative of i(c) wrt c.\nAnswer: -60*c + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51\/10 or 4?\nAnswer: 51\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 25803133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1602 + 1423*y - 456 - 1422*y.\nAnswer: y + 1146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -139, -123, -107, -91, -75, -59?\n\"Answer: 16*o - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2898.845 nanograms?\nAnswer: 0.000000002898845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 20*s - 19*s - 600 = -629, -3*s + 31 - 136 = -12*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 24 = -f. Let z be (-65 + 2)\/(f\/(-16)). Is z\/(-9)*(-6)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2868 - 2868 + 4*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0. Let v = -4.9821 + -0.0179. Which is the second smallest value? (a) v (b) i (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99 - -109. Suppose 0 = i*b - 37 - 13. Solve f - b = 6*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4350 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = z + 2*l, z = 5*l - 54 + 95 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**4 + 1 - 119*v + 120*v + 2*v**3 + v**2 - 5*v**4 to the form r*v + y*v**4 + a*v**2 + u*v**3 + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -712*o + 26053 = 621*o - 262*o - 48917 for o.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v**3 + 8*v + 1. Let p(q) = 4*q**3 + q**2 + 6*q. Suppose 0 = -x - 2*x - 5*u - 12, 5*x + 20 = 5*u. Let m(z) = x*p(z) + 3*r(z). Calculate m(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202021220 + -12?\nAnswer: 202021201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*v = 5*v - 15, 0 = -j + 4*v + 3. Suppose 2*g + 2*g = -j*q + 55, -4*g + 5*q = -79. Solve -g = -4*d - o, -o = -6*o for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2192?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -2\/19 (c) 120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-26) - 28\/(-13)*1. Solve 3*q = -4*k + 11, a*q - 4*k = 3 + 11 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -5, -13, 3, 4, 2 in descending order.\nAnswer: 4, 3, 2, -5, -13, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*k + 28 = 0, -4*k - 12 = -3*a + 34. Suppose 5*g + a = 0, 0 = 2*y + 3*g - 12 - 34. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k + 1. Suppose -126*r - 2*c = -123*r + 17, 0 = 2*c - 10. Let p be 1\/(-4) + (-5)\/(-4). Let n(s) = 2 + 4*s + p - 1. Give r*f(t) + 4*n(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-12)\/(-4))*(616\/(-8))\/7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6117+-0.254\nAnswer: 6116.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 137839409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(170)\/(sqrt(30)\/sqrt(3)) + sqrt(68)*2)*5 + 1 + (sqrt(119)\/(1*sqrt(7)) + sqrt(17) + 2*sqrt(272))**2.\nAnswer: 25*sqrt(17) + 1706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4 + 204*x**3 - 1128*x**2 + 2192*x - 1440.\nAnswer: -4*(x - 45)*(x - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2367 = 5*k + 2*t - 14871, -2*k = 2*t - 4998. Suppose y - k = 4231. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 304, 1445, 3704, 7369, 12728, 20069, 29680, 41849?\n\"Answer: 48*k**3 + 271*k**2 - 8*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36123, -36121, -36119?\nAnswer: -36117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 8 - (88 + 2)) + (-19 - -36)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 3:57 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -6.7. Let y be 8\/(-6)*3 + 3. What is the second biggest value in j, y, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 5*y + 2*y)*(0*y - 4*y + 2*y) + 537 - 537 - 173*y**2 - 3*y**2 + 3*y**2 - 4*y**2.\nAnswer: -179*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -11. Calculate the remainder when w is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -405 - -794. Let l = -279 + x. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.230999423 + 1.231. Round v to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1622\/5 - -292. Let y = p + 33. Determine v so that 0*v**2 - y*v**4 + 3\/5 - 6\/5*v + 6\/5*v**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29544 + 29543.9. What is the closest to -11\/14 in -3\/8, k, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 28*r - 65. Suppose -42 = -2*u - 2*z, -3*u + 4*z + 105 = 14. Let f be v(u). What is the greatest common divisor of 160 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91300 = -t - 24*t. Is t a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 6*i**2 + 5*i - 1. Let r be (-75)\/30*(-14)\/(-5). Determine p(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3194 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**7\/2520 - 5*m**4\/24 - 3*m**2. Let b(v) be the second derivative of x(v). Determine b(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -20*a. Let q(g) = g**2 - 51. Determine d(q(c)).\nAnswer: -20*c**2 + 1020","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2813*b + 8417*b - 2808*b - 22*b**2 - 2809*b + 116*b**2.\nAnswer: 94*b**2 - 13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2541 - -13362?\nAnswer: 16123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idididdiididiiid. What is prob of sequence dddi?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 16. Suppose -5*q + n - 2*n = -24, j*n = q + 16. Which is the second smallest value? (a) q (b) 0.1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32693*a**2 + a - 19578 with respect to a.\nAnswer: 65386*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2972 is divided by 691?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10474351 rounded to 4 decimal places?\nAnswer: 0.1047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 261690?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 34*m**4 - m**2\/2 - 1941*m + 2127. Differentiate z(g) wrt g.\nAnswer: 408*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/3*-6 + (-40)\/24*3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 1 = 1534*j - 1541*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 times 777050?\nAnswer: 14763950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/6, -494\/159, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 6*s. Let j(m) = -2*m**2 + 3*m. Let g(z) = c(z) + 2*j(z). Let i(o) = -1285*o. Give i(g(d)).\nAnswer: 2570*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150 a factor of 241040364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/84)\/(8\/(-14))*-2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*q - 34*q - 8*q)*(-4 - 2 + 4).\nAnswer: 102*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 8*c**2 + 9*c - 10. Let m be q(7). Let r be (m\/6)\/(22\/(-9)). Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 941201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-9) + 16\/3. What is the common denominator of 22\/3 and (-2)\/d - 138\/27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -864, -3470, -7820, -13914, -21752, -31334, -42660?\nAnswer: -55730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/74 and -59\/142?\nAnswer: 5254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, d: 1, p: 1, f: 1, i: 1}. Give prob of sequence ndfp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/7, -0.2, 28.5, -0.266, 0.17 in decreasing order.\nAnswer: 28.5, 0.17, -0.2, -0.266, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211.5 rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 505629 and 35305.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 0.0466738 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/1 - -2 - 1757\/1540. Let x = 6\/55 - u. Which is the nearest to 2\/7? (a) -0.5 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -65b - 116?\nAnswer: -774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 12*d - 7. Let z = -4 + 2. Let f = z + 14. What is m(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 11*s + 222. What is the remainder when k(0) is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1339)\/(-1236) + (-2)\/24. Put t, 4, 3 in decreasing order.\nAnswer: 4, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.878 rounded to 1 decimal place?\nAnswer: 10.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/5 + 1182*o**2\/5 - 2358*o\/5 + 1178\/5 = 0. Calculate o.\nAnswer: 1, 589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/(-42)*(-12)\/21.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 520.\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*n = 8. Suppose 7*y + 48 = n*y. What is the tens digit of 31 + y\/4 - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 168 = 3*s, 5*s - 83 - 15 = -f. Let n = f - 236\/3. Let d = -35 + 317\/9. Which is the nearest to n? (a) -5\/3 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 8:55 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/((-1)\/1) + -1. Suppose -2*j = -y*u - 492, 0*u - 1160 = -5*j - 4*u. Is 43 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4505781, 9011566, 13517349, 18023130, 22528909, 27034686?\nAnswer: 31540461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 20 = 3*s. Let f be s*3\/6 + 14. Suppose 0 = 6*o - 11*o + 10. Solve -o*l - l - 13 = -u, 4*l + f = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1498*y - 203*y - 63951 = 90*y - 4848 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-50 + 11 - -52)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -201*85\/(-30) + (-2)\/(-4). Let l = 1199 - x. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.6 + -3.6. Let b = 5 + p. Let m = 0 + b. What is the biggest value in 5, m, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -28*m + 1. Is g(-12) a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 0.0643?\nAnswer: 1.9357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-2002)\/(-350))\/143*-850\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 995 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 1 + (1031 - 965).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r - 90. Determine p(32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -5 + -23 + (49 - (7 + -9))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 919 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 8. Solve m = 6*m - l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3*3\/6)\/(6\/(-40)). Solve 0 = q - 2, -q - 3 = -f - k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(80)*-2)\/(sqrt(20)\/sqrt(4)*4))\/(sqrt(392)*1*5 + 4*-1*sqrt(392)).\nAnswer: sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 11*r - 928. Let w(h) = 3*h - 6. Calculate the remainder when o(-37) is divided by w(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n + 4*n**2 - 5 + 2 + n. Let h(q) = -q**2 + q + 1. Let j be (-2)\/10 - (-4)\/(-5). Calculate j*s(g) - 3*h(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s + 6*s + 5*s - 7*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) 0.1 (c) -1.6 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*v + 2*v**2 + 17 + 21*v - 10*v to i*v**2 + x*v + l and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256*g + 2940*g - 170*g.\nAnswer: 3026*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 0*k**4 + 3\/2*k**3 + 0*k - 13\/20*k**5 - 8*k**2 + 0. What is the derivative of s(z) wrt z?\nAnswer: -78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26897827?\nAnswer: 11, 613, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 2*j**4 - j**3 + 3. What is the third derivative of k(v) wrt v?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 9 = -5*s + 29, -5*m + 2 = -s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f**2*i*l**2 + f**2*l**3 + 2*f*i*l**3 - 7*i*l + 2*l**3 - 2*l**2 wrt i.\nAnswer: -f**2*l**2 + 2*f*l**3 - 7*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27)\/(-162) + (-7)\/6. Let g(t) be the first derivative of -3*t**2\/2 + t + 1. Let i be g(j). Solve i = 5*u + 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2992 and 134266.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 186\/(-15) - (-2)\/5. Suppose n + 114 = -2*n - 3*u, 2*n = -3*u - 81. Let s = v - n. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 104.1, -0.097, -9?\nAnswer: -0.097","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*w + 72, 443*k - 444*k = 2*w - 34. Solve -3*u = 2*t - 4*t - 8, 0 = -4*t - 5*u + k for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*u**3 + 9*u**3 + 5*u**3)*(655*u + 404 - 808 + 409) as n + x*u + a*u**2 + d*u**3 + m*u**4 and give d.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 5*y - 28, y - 17 = -o - 3. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**4 - 5*c**3 - c + 244. Let s(b) = 2*b**4 + 12*b**3 + 3*b - 733. Let r(a) = -8*q(a) - 3*s(a). Find the second derivative of r(j) wrt j.\nAnswer: 120*j**2 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420 and 3738.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 1:51 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2 - v**2 + 2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 243, 245, 247, 249, 251, 253?\n\"Answer: 2*v + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*n**4 + 552406*n**3 - 7973078?\nAnswer: -80*n**3 + 1657218*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70287262 is divided by 3013.\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**2 + k**2 - 2*k**2)*(102*k**2 + 95*k**2 - 234*k**2) + (-2*k**3 + 3*k**2 - 3*k**2)*(-3*k + 4*k + 0*k).\nAnswer: -150*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 4.0666069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(1638\/(-140))*6\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2560753\/12 - 215797. Let y = z - -66589\/24. Let v = 376 - y. Calculate the common denominator of -55\/16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1244261 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 269620155?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 8*j**2 - 11*j - 2. Let m be d(6). What is the smallest value in -0.5, -2, m, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence roth when four letters picked without replacement from {t: 1, h: 2, x: 2, o: 4, r: 2, q: 1}?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2145 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -2 (b) 5 (c) -3\/8 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - 0 - (135 - 167)) + -17\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -336 - -1040. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(130\/390 - (-11)\/(-15)). Let c(v) = 17*v**3 - v**2 - 2*v + 2. Let o(f) = -17*f**3 + 2*f**2 + 3*f - 3. What is q*o(i) - 3*c(i)?\nAnswer: -17*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 618 + -380. Let u = z + -77. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/21*(-5)\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.146 and 0.022.\nAnswer: 2.168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*t**2 - 14 + 14)*(0*t + 3*t - 2*t + (2*t - 2*t + 2*t)*(-3 + 4 - 3)*(8 + 1 - 3)) to u*t + x + p*t**2 + f*t**3 and give f.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/6*(-2 - -5)*94. Suppose -r = -5*p + 5*a + 374, 5*p = -3*a + 507. Does 17 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5\/4, -4, 32\/3, 5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6 + 33*y - 19 + 40 wrt y?\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-201)\/30 - 1 - -2 and ((-77)\/49)\/(18\/(-49)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-555))\/((1556\/9725)\/((-16)\/(-30)))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1736 and -29\/5996888?\nAnswer: 41978216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-seven halves of a tonne?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11732 - 52?\nAnswer: 116a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -6. Suppose -3*t - 2 = 4*b, 0*t - 5*b - 14 = -2*t. Let f = 0 + t. What is the remainder when k is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*7\/112 + 741\/104 + 6265. What is the highest common factor of 48 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -3*n + 12 - 3, n = 3*h + 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 3166?\nAnswer: 31660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -619\/5311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/8)\/s*(s**(-1\/19)*s)\/s)**(-19) assuming s is positive.\nAnswer: s**(179\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -16*-203.73\nAnswer: 3259.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2315699, 3, 4, 5 in ascending order.\nAnswer: -2315699, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*h + 69*h - 16*h + 64 + 794 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 583308 divided by -291654.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c - c + 4*c)*(12*c - 26 + 26) - 5*c**2 + 3*c**2 + 0*c**2 - 1 - 6*c**2 - 3*c**2 + 8*c**2 as g*c + p*c**2 + j and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 110623, 220912, 331201, 441490, 551779, 662068?\n\"Answer: 110289*g + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57244879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2\/5 - 491896*r\/5 + 491897\/5 = 0 for r.\nAnswer: -491897, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, i: 2, y: 1, l: 3, k: 3, u: 3}. What is prob of sequence kkli?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 37185*o + 260315. What is u(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09135 - 95.15135. Round r to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -3 (b) 0.2 (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9222?\nAnswer: 2, 3, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -676750*w + 437 + 3358 + 680813*w wrt w?\nAnswer: 4063","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-2))\/((-1)\/2). Let x(a) = -a**2 - 8*a - 10. Let s be x(-3). Put -1, s, g in descending order.\nAnswer: s, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 40*x - 1 + 37*x as b*x + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7112 - 7106. Let j be 0 - (22*-1 - -1). Suppose -2*l - j = -5*l. Which is bigger: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - -59 - 2) + -11?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 9*u + 38. Calculate t(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - ((-2228)\/(-1116) + 6 - 5). Is g less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/6*(-262)\/(-3). Let s = w - 52. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 12 = -4*k, 0 = -2*p - 2*k - 14. Let l = 1 + 0. Which is the nearest to -1? (a) p (b) l (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 154 = -634. Let p be 7\/((-35)\/h) - 2. Solve l + p = -0*l + 5*q, l + 3*q - 18 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-80))\/((-294)\/56*18\/(-27))?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0. Let g = 1 + v. Let d = -3.07 - -0.07. Is g greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-140)\/(-15) + -10 + 0\/2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*(-5 + sqrt(1584)*2 + sqrt(1584))**2*2.\nAnswer: -57125 + 1440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -401*r**2 - 690*r**2 + 302*r**2.\nAnswer: -789*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -7 + 2. Suppose -u + y*u = 8. Suppose 50 = 4*s - u*s. Is 25 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.125305 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3641 is divided by 1167.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 7 - 3 - 4 + 6 + (1 + 2 + 0)*(1 - 2 - 1) + 3 - 3 - 2)*((-1 - 3 + 5)*(-2 + w + 2) + 5*w - 8*w + 8*w).\nAnswer: -96*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 157\/95 - 20\/19. Suppose 5*w + 5 = -2*c, -3*w - c - 5 = -3. Let v be (2 - w)\/((-24)\/6). Sort v, a, 0.3 in ascending order.\nAnswer: v, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 18*h + 18. Let o(y) = -4*y**2 - 2*y + 3. Let q be o(2). Let t be a(q). Let f = 5 - t. Solve -f*j + 26 = 2*r, 5*j = 4*r - 0*j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24638 - 83*w + 24638)*(-1 + 1 - 2).\nAnswer: 166*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/6)\/(1\/3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34800, -69587, -104376, -139167, -173960, -208755, -243552?\nAnswer: -278351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 + -4.9. Let y = -3.8 + 4. Put -0.5, y, i in increasing order.\nAnswer: i, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 + -48. Suppose 4*w = -v*j + 2421, -w - 5*j + 2427 = 3*w. Suppose -434 = -q + w. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/3)\/f**2)**(-24))**40 assuming f is positive.\nAnswer: f**1280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u - 3*u + 6*u)*(-17 - 5 - 2*u + 31) to g*u**2 + k*u + t and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 1859 = -10*y - 1937 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/2 + (-1985)\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 68758243?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -28. Let x = -8 - m. Solve x = 3*p + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6613, 6619, 6639, 6679, 6745, 6843, 6979, 7159?\nAnswer: 7389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 = 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a tonne in kilograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - o - 4*o + 5, -3*o - 11 = -l. Suppose 1 = u - l. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -8*u**3 + 14*u - 11. Let c(q) = 3*q**3 - 5*q + 4. Let d = -2461 + 2465. Let g be (-3)\/(-2) - (-38)\/4. Give d*l(s) + g*c(s).\nAnswer: s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 72*z**2 - 77*z - 580. Let w be h(-7). Calculate the greatest common divisor of 11 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m**3 + 6*m + 7. Suppose 0*t = 2*t + 4*s - 18, -s = 4*t - 29. Suppose -13 = -t*a - 55. Let g(j) = -11*j**3 - 13*j - 15. What is a*g(i) - 13*k(i)?\nAnswer: i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t + 9 = 0. Let c(g) = g + 5. Let m be c(t). Solve -m*o - 3*o + 20 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22700?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 8. Let g be a(4). Suppose 5*k - 25 = 0, 0 = -3*i - 0*k - g*k + 32. Solve 2*x + 10 = 0, -4*b - 57 = i*x - 21 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (2 - (-11199)\/9). Suppose -2*t + 2486 = 4*h, 3 = 6*h - 5*h. Let y = d - t. Calculate the common denominator of y and 37\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24064072*y**2 + 17063521*y wrt y.\nAnswer: -48128144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v + 40. Let q be g(10). Suppose q = -4*a + 12 + 8, -3*j - 186 = 3*a. Round j to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/2256 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -1. What are the prime factors of (-6)\/3*(-84)\/s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000676852039 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 17a9ed?\nAnswer: 17a9ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 53805*n**2 + 8*n + 4. Let m be d(7). Let w be m\/(-770) + (-4)\/14. Let b = 3422 + w. What is the common denominator of 1\/10 and b?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.031 + -5.469. Let k = h - -5.5. Let v = -4 - -5. Which is the nearest to k? (a) v (b) 1\/5 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from {w: 4, m: 1, s: 9, f: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 21*y**2 + 2*y - 1. Determine n(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**3 + 4*d**2 + 4*d + 5. What is x(4)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4333 - 4333.00000015004. What is q rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 70.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 792432149 to the nearest integer?\nAnswer: 28150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1075 and 1077365?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(50) - 6*sqrt(2)*2) + 1 + (sqrt(2) - (1 + sqrt(72))) + 3.\nAnswer: -12*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 101080 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 1396*i - 1395*i + 6, 20 = 5*n - 3*i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 12384?\nAnswer: 12384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-10 - -6) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32242 + 14*i + 32244 - 69*i**2 + 3*i**2)*(i**3 + 0*i**3 - 3*i**3).\nAnswer: 132*i**5 - 28*i**4 - 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4786 and 0.5?\nAnswer: -0.2393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24 and 31850?\nAnswer: -764400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -1. Let q = -24 + 14. Which is the third biggest value? (a) -3 (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -135 - -242. Suppose -3*t - 5*p + z = -16, 4*t - 4*p = 196. Let d = -44 + t. Solve -4*u = -d*l + 14, u + 3 = -2*u + 4*l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 11) to base 2\nAnswer: 100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -80323 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 131, 362, 793, 1490, 2519, 3946, 5837?\nAnswer: 8258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 238, 705, 1488, 2587, 4002?\n\"Answer: 158*k**2 - 7*k + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46795632 is divided by 84?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 49*a - 46 - 65 + 3*a**2 - 19 + 16*a + 92*a. Let b be p(-54). Calculate the highest common divisor of 28 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/10*(-2 - 0). Let n = p - 5. What are the prime factors of (-4)\/10 + n\/(-20) - -134?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 494618303.\nAnswer: 6217, 79559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2480 divided by 31\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1046 (base 8) in base 15?\nAnswer: -26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.989308 - 224791589\nAnswer: -224791589.989308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/252)\/((21\/237)\/7). Let a = 14\/15 - p. Is 0 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19255?\nAnswer: 5, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 252, 425, 598, 771, 944, 1117?\nAnswer: 1290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, g: 2, p: 7, k: 1, d: 4}. Give prob of sequence kpgk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b*f**3*j - 2*b*f**2*j + 2*b*f*j + 300*f**3*j + 226*f*j wrt f.\nAnswer: 24*b*j + 1800*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -5)\/(-2 + 3). Suppose 2178 = k*x - 4*p, 2*p - 2873 = -4*x - 3*p. Suppose -h - h = -x. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441386810?\nAnswer: 2, 5, 17, 152729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 22301?\nAnswer: -22300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26596, 107862, 243306, 432928, 676728, 974706, 1326862?\nAnswer: 1733196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 6*n - 20. Suppose 3*a = v - n, -2*a - 4 = -3*v + 2*a. Suppose -18*k + 20*k + 440000 = v. What is k rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*i - 7276, -5*a + 18195 = 7*i - 2*i. What are the prime factors of a?\nAnswer: 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i + 30*i + 5*i + 3.\nAnswer: 29*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 2\/5 (b) 5\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 2*t**3 + 16 + 2*t**3 + 4 + t**2 - 16*t**2.\nAnswer: 5*(t - 2)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37969623 - -2?\nAnswer: 37969625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 31957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31508 + -19383. Let l = -7222 + s. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 10\/653, 1\/7, -3?\nAnswer: 10\/653","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4058 - 920499?\nAnswer: -916441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3779010933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -396*c**2. Let q(z) be the second derivative of -3*z**4\/2 - 3766*z - 1. Determine q(t(u)).\nAnswer: -2822688*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -48*q**3 + 40*q**2 + 40*q. Let z(k) = k**3 - k**2 - k. What is -d(v) - 40*z(v)?\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.4 - 1.6. Which is the nearest to d? (a) 4 (b) -3\/8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nocwnckcwknv. Give prob of sequence kw.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millimeter in micrometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10236, -9960, -9684, -9408, -9132?\nAnswer: -8856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4625592329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3578, -26370, -88234, -208706, -407322, -703618, -1117130, -1667394?\n\"Answer: -3256*d**3 - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 9:29 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -7594683?\nAnswer: -7594681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 77*j - 2062. Let t be s(30). Calculate the greatest common factor of t and 2914.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(78)*-1 - sqrt(78)) + sqrt(78) + -1*sqrt(78)*-5)\/(((sqrt(720) + sqrt(720)*3)\/sqrt(12))\/sqrt(10)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 8:03 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1, 1872, 1 in decreasing order.\nAnswer: 1872, 11, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -5608.\nAnswer: -5\/5608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1983*b**3 + 569*b**3 - 3876*b**3 - b + b + b**3 + (-2*b + 4 - 4)*(b**2 - b**2 + b**2) + 0 - 2*b**3 + 0 to z*b**2 + v*b**3 + a + n*b and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 151 + -188 + 38 + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 5*x - 2. Let z be b(6). Suppose z*t = 2 + 2. Put -2, t, -4 in increasing order.\nAnswer: -4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 0*h**3 + 0*h**4 - 1\/30*h**5 + 0 + 0*h - 8*h**2. Let f(s) = -15*s**2. Calculate f(t(l)).\nAnswer: -60*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*o - 1 = 83*o. Let z(b) = -1. Let r(t) = -9*t**2 + 5. What is o*r(n) - 5*z(n)?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.09 - -0.81. Let q = k + 4.1. Let y = -6 + 8. Which is the closest to -1? (a) -2 (b) y (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32708255 by -62065.\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -1)\/(5\/130). Let s be 2\/(-8) - d\/(-8). Let x = -0.3498 - -0.0498. Which is the second smallest value? (a) s (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 4 = -4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -11. Let z = 6.5 - w. What is the third smallest value in -0.1, -4\/3, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18350 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 205674 and 581.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -305 + 571. Let x = v + -263. Solve 3*c = 4*c + x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 30 = 3*k. Suppose 0 = 3*x - k + 4. Suppose 0*o + 5*o = -x*i - 12, -5*i = -4*o - 36. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, p: 6}. What is prob of picking 1 z and 2 p?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 + 9*d**3 - 4 + 4 + 9*d**3 in the form l*d**2 + w*d + s + i*d**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 15*j**3 - 8*j**2 - 16*j - 27. Let t(s) = -4*s**3 + 2*s**2 + 4*s + 6. Let m(u) = -4*q(u) - 18*t(u). Factor m(v).\nAnswer: 4*v*(v - 1)*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 193 and 1689329?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, 1, 191, 29, -1\/2, 5?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1456, -1394, -1328, -1258, -1184, -1106?\n\"Answer: 2*u**2 + 56*u - 1514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by -14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 2. Let b be l(11). Let f = b - -13. Suppose 6*j - 4*j - 132 = f. What are the prime factors of j?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.551 micrometers in meters?\nAnswer: 0.000118551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 + u - 134. Let s be g(-7). Let y = 1 - -17. Calculate the highest common factor of y and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1662309 by 11.\nAnswer: -151119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -10 and -1249\/140 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 629 + 501 + 310 = -72*z for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**2 + 1310*p + 54644. Give o(475).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 881 divide 257322480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 186*a + 5*a - 189*a - 249*a**2 as i + r*a + t*a**2 and give t.\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 84\/11 (c) -28 (d) -107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13 + 2 - -2)*-1. Suppose -4*p - 20 = -b*p. Let x = -11 + 17. What is the least common multiple of x and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*f**5 + 20*f**5 + 23*f**5 + (-1 + 1 - 2*f)*(f**4 + 0 + 0) - f**5 + 2*f**5 + 0*f**5.\nAnswer: 28*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22233210134 + 0?\nAnswer: -22233210134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 18*u**3 - 10*u**2 - 10*u - 4. Let h(z) = 6*z**3 - 3*z**2 - 3*z - 1. Determine -10*h(a) + 3*r(a).\nAnswer: -6*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 4*f - 6, -2*t - 18 = -973*f + 969*f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 913, 4988, 11777, 21274, 33473, 48368, 65953?\nAnswer: 86222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11880 + 24*v**2 - 35690 + 11873 + 11937.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -4*h - q, -5*h + 151 = -2*q - 117. What is the remainder when h is divided by 256\/14 - (-10)\/(-35)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*r - 18*r**2 - 9*r + 23*r - 96 + 4 wrt r.\nAnswer: -36*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 62*h - 2309. Give w(37).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1622*w + 1627*w = 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 497471\/119 - 9 - (-6)\/(-14). Suppose -12048 = -7*z + w. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23963*x + 18093 = -24452*x for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0552 (b) -4\/7 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1092964 = 6*z + 148879. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125437 is divided by 11403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 81 (b) -2\/17 (c) -556\/7 (d) 4 (e) -3\/7 (f) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.284 and 16847.8983.\nAnswer: 16848.1823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 6*r**2 + 0*r**2 + (r - 1 + 1)*(4*r - 4*r - 2*r))*(-2*r**2 + 5*r**2 - r**2) + r - r**4 - r.\nAnswer: 5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -244*r**2 - 4*r - 4. Let h be p(-1). Let t = h - -247. Solve -5*c = -5*y - 0*y, 0 = -t*y + c + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-141)\/414 + 1936\/11132\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400 = -55*g + 5*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 89. Suppose -5*d + f = -30. Calculate the smallest common multiple of 12 and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnccnn. Give prob of sequence nnc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2448) + sqrt(2448) + sqrt(2448))*4 - (sqrt(2448) - (sqrt(2448)*1 + 3)))**2 + 5.\nAnswer: 1152*sqrt(17) + 626702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwvn when four letters picked without replacement from {w: 2, n: 3, a: 3, v: 2, c: 1, k: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 192896993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -92 + 177. Suppose -z + 3*z - 36 = -4*i, -4*z + f = -5*i. Calculate the remainder when z is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-216)\/(-42))*12.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 8 + 2 = 0. Let c(a) = -9*a**2 + 19*a**d - 14*a**2. Let i(l) = -3*l**2. What is c(i(u))?\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * -0.152.\nAnswer: 1.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 128*u - 29*u - 32*u - 41*u - 43*u + 1.\nAnswer: -17*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7 + v**2 - 3*v - 6*v + 2*v. Let f be u(6). Calculate the common denominator of 50\/28 + 2\/f and 97\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 - w**3 + w**3 - 5*w**2 + 5*w**2 - 2*w**3 + (-w**2 - 1 + 1)*(-2*w + 0*w + 3*w) + 4*w - w**3 - 4*w + 2*w**3 - 2*w**3 + 2*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 w, and 1 v when three letters picked without replacement from {v: 1, i: 5, y: 7, w: 1, a: 5}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + ((-29)\/(-1) - -2). Let k be 9\/12 - t\/(-8). Let f(w) = 2*w**2 - 7*w - 2. Let g be f(k). Solve 5*q - g = 2*s - s, 1 = -s + q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l - 2. Suppose 0 = -4*c + 3*i - 2*i + 2, -4*c = i - 6. Let j be o(c). Factor 1\/3*n**j + 0 - 1\/3*n**4 + 1\/3*n - 1\/3*n**3.\nAnswer: -n*(n - 1)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 1 - 82*s - 16 + 10.\nAnswer: -82*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 - -1052?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(2057) + -2)**2 - sqrt(17)).\nAnswer: -45*sqrt(17) + 2058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3748, 8452, 14134, 20806, 28480, 37168?\nAnswer: 46882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -281830555 divided by 2\nAnswer: -281830555\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 + (-4 - 0) + (93 - 88).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 3, -0.5, 34, 527 in descending order.\nAnswer: 527, 34, 3, 1, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 9504172 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3 - 1 + f**2 - f - 5*f**2 - f**3. Let i be z(-2). Let s be i\/(-6) + (-3)\/(-9). Solve -s = t + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -1\/6*d**3 + 5\/6*d**4 + 2*d + 0 - 1\/20*d**5 + 5*d**2. Let r be t(10). Solve r = 2*w + 4, w - 2 = -0*y + 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 + 23695*y**2 - 29363535*y + 3022732485.\nAnswer: -5*(y - 2313)**2*(y - 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -695396 divided by 8086\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - 11151?\nAnswer: -11163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 + 11\/((-99)\/1872). Is p < -199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjl when three letters picked without replacement from ujlopjlue.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnfffnffffnfffff. Give prob of picking 4 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = j + 7. Let y(x) = x**3 - 3*x**2 + x - 16. Let k be y(j). Solve q = 3*i - 9, 0*q + 2*q - k*i = -10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/18*33\/2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (-5 - -8) - -24) + 0 + -19?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2\/3 + 398832*b - 29825055792.\nAnswer: -4*(b - 149562)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 1:38 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (9 + -11) - 1. Suppose -3*u = -18 - 15. Let m = -30 - -35. Solve u = m*v - g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*k = -k - 20, 2*g = 3*k + 8. Suppose 20*u = 26*u - 120. Calculate the greatest common factor of u and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 109858 * 3308.\nAnswer: 363410264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - -1.6. Let n(f) = -f**2 - 7*f - 6. Suppose d + 2 + 3 = 0. Let v be n(d). Which is the closest to y? (a) -1\/2 (b) v (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5258*j**3 - 5057*j**2 + 5057*j**2.\nAnswer: -5258*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-9)*(-72)\/180.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q**2. Let n(u) = 1054*u. Give n(o(g)).\nAnswer: -5270*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 186427.909056 + -186629.91. Let f = t - -202. Round f to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 573 + -247. Suppose 3*o - q = -83. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4564 - 2360. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 8. Suppose p = 3*v + v + 28. Let u = -7 + 13. Let i(q) = -8*q**2 + 7. Let y(c) = -7*c**2 + 6. What is u*i(g) + v*y(g)?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11\/6, 116, -4?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 7. Let g = 6.3 - d. Let h = g - -0.1. Round h to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10720 - -10716. Which is smaller: 731 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g + 3. Let x(q) = 3*q - 1. Calculate -5*r(c) - 2*x(c).\nAnswer: 4*c - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/(-17))\/(1*(-15)\/(-25)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -185 + 269. Suppose 21 = 4*g + 3*d - 18, -2*g - d + 21 = 0. Calculate the highest common factor of g and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -26 - -24)*(-1)\/(-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 983 divided by 2\nAnswer: 983\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7603240717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4 + 11*p**3 - 72*p**2 + 124*p - 64 = 0.\nAnswer: -16, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**6\/72 + 5*r**5\/12 + 125*r**4\/24 - 5*r**3\/3 - 7*r. Let w(h) be the second derivative of z(h). Factor w(o).\nAnswer: 5*(o + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 0*q**2 - 6*q + 0 + 3\/16*q**4 + 0*q**5 - 1\/40*q**6 + 1\/4*q**3. Factor t(m).\nAnswer: -3*m*(m - 2)*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 329.4605 + 0.0395. Let f = -329 + v. Is -11 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*z = -15, -4*m - 2 + 5 = -z. Suppose 2*p - y = p + 99, 2*p - 5*y - 186 = m. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 509 divided by -124318?\nAnswer: -509\/124318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**3 + 22*y**2 - 6. Let s(c) = c**3 - 2*c**2 + 1. Determine 2*r(x) + 22*s(x).\nAnswer: 14*x**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 25, 16923, -2 in descending order.\nAnswer: 16923, 25, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -16) + (10 - (7 + (-8 - -64)))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0496 + -0.1894. Let g = w - -22.239. Which is the smallest value? (a) 1 (b) 2\/11 (c) 4 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n - 5. Let x(s) = s**2 - s - 4. Let g be x(3). Suppose -g*h - 5 = 3. Let i(f) = -7*f - 6. What is h*i(y) + 5*a(y)?\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*m - 180 + 1328 = -106. Let k = 11 + -15. Put m, -0.2, 3\/5, k in descending order.\nAnswer: 3\/5, -0.2, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -560310 to the nearest 10000.\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88968852?\nAnswer: 2, 3, 7, 41, 79, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*a**3 - 1 + 72*a**3 - 19*a**3 - 74*a + 6*a + 3*a**4 in the form c*a + g + f*a**2 + t*a**3 + o*a**4 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 + 66. Suppose 0 = 4*l - 4*m - 5 - w, -l - 5*m + 10 = 0. Solve 0 = 4*g - l*d - 20, -4*g - 8 = d + d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n. Let h(g) = 14 + 4*g**2 - 14 + 0*g**2. Calculate h(b(r)).\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 + 0*r**3 - 6*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 364.245 + -0.245. Let t = -363.99999829 + j. Round t to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 6 - 6)*(-1 + 1 - h**3) + (3*h**3 - 3*h**3 - 2*h**3)*(-3*h + 1 - 1).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1778*y**3 - 30 - 5*y + 5*y + 28 + 0*y + 257*y**2 wrt y?\nAnswer: -10668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -2, 0.4, -3594?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2498, 5001, 7524, 10073, 12654?\nAnswer: 15273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 119 + -593\/5. Let h be -2 + (-46)\/(-16) + -1. What is the smallest value in 0, h, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - (6*(2 + sqrt(242)) - sqrt(242))) + sqrt(242) - (sqrt(162)*-5 + -4).\nAnswer: -8 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13774 = -z + 620*r - 624*r, -2*r = -z - 13786. Does -13783 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*-1 + (2 - 1). List the prime factors of (10\/(2\/(-1)))\/a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 343 + 0?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 3*c - 5. Suppose 0 = c*v - 22 - 13. Let w(h) = 3*h + 5. Is 9 a factor of w(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 625 + -273. Let y be 64\/u + (-185)\/(-11). Suppose 0 = -3*l + 6, -5*h + l = 2*l - 342. Calculate the greatest common divisor of h and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1433\/2)\/((-29)\/(-58))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 42*r - 81. Let z be d(2). Solve 3*o + z*o + 18 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3*32\/12)\/2. Let i = -45 + 47. Let j be (0 + i + -3)*(6 + -6). Solve 0 = 4*g - k*n - 24, j = -3*g + 4*n + 20 - 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4*j + 35 + 11, -2*j - 110 = -3*a. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1269*z = -1265*z - 5*o + 107, -2*z + 4*o = 88. Suppose -26\/3 + 2\/3*n**3 + 18*n - 10*n**z = 0. Calculate n.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z + 192 = 0. Let s = z + 1. Suppose l - 6*l + s = 0. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 922.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -145*t + 3486. What is c(18)?\nAnswer: 876","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 19*r**3 - 41*r**2 + 22*r - 7. Let k(i) = 6*i**3 - 14*i**2 + 8*i - 2. Let o(h) = -7*k(h) + 2*w(h). Factor o(b).\nAnswer: -4*b*(b - 3)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1365\/2 - 683. Sort j, 3, -0.2, 26.7 in decreasing order.\nAnswer: 26.7, 3, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 147 or 148?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-163)\/(-11) + 4\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (217*j**2 + 1284*j**2 + 1518*j**2)*(-j - 3*j + 8*j)*(2 - 4 + 0) to n*j**3 + s*j + r*j**2 + u and give n.\nAnswer: -24152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 take away 7.1?\nAnswer: -63.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 3*w + 4 = 0. Let h = -5.3 + 4.8. What is the nearest to -1 in h, -4, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, c: 6, y: 2, w: 2, p: 3}. What is prob of picking 2 c and 1 y?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -350, -703, -1056, -1409?\nAnswer: -1762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1367168*k**2 - 11*k**3 - 1367184*k**2 + 2734352*k**2.\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 6 = -1. Suppose 0*l + 5*l = 4*o + 10, 3*l - 6 = 5*o. Let t be 5 + l\/(2 - 0)*0. Which is the nearest to -3? (a) -2\/11 (b) t (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -18*n**2 - n**3 + 16*n**2 + 12*n + 2 + 12*n**2. Calculate the remainder when 25 is divided by i(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136, 1337, 4602, 10963, 21452, 37101, 58942, 88007?\nAnswer: 125328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/9)\/v)\/(v\/(v*v**(-1\/2)*v)) assuming v is positive.\nAnswer: v**(-13\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17373*i**2*l**2*n + 804*i**2*n + i*l*n + l*n wrt l.\nAnswer: -34746*i**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1699194 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 86133 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: Three letters picked without replacement from {q: 1, s: 1, a: 1, i: 2, c: 1, w: 1}. Give prob of sequence csq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12a34 + 67b7?\nAnswer: -924a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10010*x**2 - 3345*x - 3288*x + 6633*x)*(2*x - 4*x + x).\nAnswer: 10010*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58275?\nAnswer: 3, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(-19)*253\/(-11)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t. Let r(o) = -6*o - 16. Let f(p) = -6*p - 17. Let w(z) = 4*f(z) - 5*r(z). Calculate w(j(g)).\nAnswer: 12*g + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-162)\/2052*(-96)\/18. Let g be 54\/(-285) + 2\/5. Determine a so that -14\/19*a**5 + 6\/19*a + 28\/19*a**2 - g + f*a**3 - 24\/19*a**4 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71480 + 2?\nAnswer: -71478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47981 is divided by 696?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(16)\/sqrt(4) - sqrt(40)\/(2*sqrt(10) - sqrt(10)))\/(-3*(-3*sqrt(90))\/sqrt(5)).\nAnswer: -4*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -5. Suppose -7*l + 5*p = -2*l + 70, -2*l - 4*p - 16 = 0. Let m = l + 58\/5. Sort i, 5\/4, m in ascending order.\nAnswer: m, 5\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 10 + 2 = 0. Let s be (-1)\/(3 + -1 + (-110)\/15 + 5). What are the prime factors of (a - (s - -6))*11*-1?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4589?\nAnswer: 13, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 5*h + 43, -50*h - 34 = -5*k - 33*h - 29*h for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, 4, 66\/1565, 1\/3, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from {i: 1, a: 7, x: 11}.\nAnswer: 77\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74137 = -204*r + 618*r + 419*r for r.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 10*d + 1. Suppose -2*p = 3*s - 69, 6*s = 7*s + p - 23. Suppose 0 = 13*y - s*y + 10. Give n(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 + 11*v**2 + 7*v - 19. Give t(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -17. Suppose -3*z + w + 26 = 3*h, 2*h = 6. Find the second derivative of 2*t**3 - t**3 + z*t - 3*t + 7*t wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + 3*k - 5*k)*(-37*k - 10*k + 6*k) to s*k + t*k**2 + a and give t.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181 = 3*z + 615793*f - 615791*f, 174 = 4*z - 5*f - 75 for z.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 3)\/(3\/15)*-1. Let n(u) = -3*u + v*u - 28 + 52 - 30. Let y(m) = m - 1. What is n(o) - 5*y(o)?\nAnswer: -3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1716889*t*x**3 - 2*t*x**2 - 1465*t*x - t + 8*x**3 + 210*x + 6 wrt x.\nAnswer: 10301334*t*x - 4*t + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*sqrt(1536))\/(sqrt(1200) + 3*sqrt(1200)))**2.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/176*698 + 4. Let v = 19\/88 - i. Sort v, -3\/2, 2\/7.\nAnswer: -3\/2, v, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9 and 0.69.\nAnswer: 0.621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1137201 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -47602, -190492, -428638, -762040, -1190698, -1714612?\n\"Answer: -47628*x**2 - 6*x + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.26 - -1.36. Let o = f + -13.1. Let y = 0.9 - 0.9. Which is the closest to y? (a) -4 (b) o (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p - 45. Let j = -37 - -54. Calculate the remainder when j is divided by m(18).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -45*h + 1. Let p(v) = 135*v - 4. Let d(a) = -7*c(a) - 2*p(a). Let b be d(2). Suppose -b*f + 93*f = 512. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 494, 4, -1, -2 in descending order.\nAnswer: 494, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5 = 10, b = 5*l - 43. Suppose 0 = -i + 4*j - l, 3*j = -2*i + 7 - 1. Suppose -2*d + 8 = g - 1, i = 5*g - d - 1. Are -3\/8 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -19 + 0 + -2 - (-108 + 112).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from {v: 5, n: 5, b: 4}?\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 9 + r**3 + 30*r - 45*r + 32*r + 17*r**2. Let b(d) = -d**2 + 1. Let t(l) = -5*b(l) - x(l). Does 19 divide t(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 9*z**2 + z + 56. Determine j(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*a**2*n*t**2 - 8971*a**2 + a*n*t**2 + 540*n*t + 2*n wrt t?\nAnswer: -6*a**2*n*t + 2*a*n*t + 540*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(170) + sqrt(170) - sqrt(170))\/sqrt(10) - (sqrt(68) + (sqrt(68) - (-5 + sqrt(68)))).\nAnswer: -3*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 297 + 24 = 0. Let u = l + -21. Is u a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149934 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -36 - -7 - -35\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -47, -237, -661, -1433, -2667, -4477?\n\"Answer: -19*x**3 - 3*x**2 - 48*x + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 418995132 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**2 + 20*i - 4. Let b be n(8). Let w = 171 + b. Let h = w - 40. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b**2 - b + b)*(-1 + 3 - 3) + b**2 - 3*b**2 + 4*b**2 + b**2 + 0*b**2 + 3*b**2 + 3*b**2 - 2*b**2 + 0*b**2 to the form p*b + c + h*b**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12 times -948932\nAnswer: 11387184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -270*x**4 - 190*x wrt x.\nAnswer: -3240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2)*(-6*b + 4*b - 6*b) + (2*b + 4*b - 4*b)*(4 - 2 - 3) - 2*b + 8*b - 2*b.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*d**3*j**3 - 2*d**3*j - 4*d**3 - d**2*j**2 + 10*d**2 + 2068*d*j**3 - 107 wrt j.\nAnswer: 150*d**3 + 12408*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -790437 minus -0.7?\nAnswer: -790436.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, s: 2, p: 1, q: 1}. What is prob of picking 1 s and 1 q?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125291 is divided by 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6854*u**3 - 541*u + 6858*u**3 - 13718*u**3.\nAnswer: -6*u**3 - 541*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, c: 7}. Give prob of picking 1 c and 1 p.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25\/77 + -1\/7. Let z be (-5)\/(0 - (-20)\/(-8)). Let k be 0 + -4 - (8\/z + -8). Which is the nearest to k? (a) y (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2209 and 3036717.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -464*f + 42. Does 9 divide y(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4822 less than or equal to -4820?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-102)\/(-30) + (-4)\/10. Let y be (4 + (-4 - -3))*2\/v. Suppose 6*a = a + y*z + 530, -z - 318 = -3*a. Is a a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2372)\/(-12) - 1*2\/3. Let a = -51 + h. Is a a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47344, -94682, -142020, -189358, -236696?\nAnswer: -284034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48825158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -536736895*b**3*s**3 - 4*b**2*s**3 - 14566605*b**2 + 3*b*s**3 wrt b?\nAnswer: -3220421370*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h - 667 = 5*x, 5*x + 494 = -3*h. Let n = -99 - h. Suppose -n = 2*r - 2*i - 2450, 3*r = i + 3574. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 3)*(-259 + 12*l - l + 258) to j*l + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**2 + 160*n - 31 - 1201 - 132 + 59 - 295 = 0. What is n?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) -1.3 (c) -1.5 (d) 5 (e) -24 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + 58. Let a = o + -59. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221 (base 8) to base 4.\nAnswer: -2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/4 - -2) + 27. Calculate the greatest common divisor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 143364.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/n**(-1\/4))\/n))**(-22\/7)*(n\/(n\/((n\/n**0)\/n)))**(-42))\/((n**(1\/4)\/n)**(-5))**25 assuming n is positive.\nAnswer: n**(-2691\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5196683262 - 0.05?\nAnswer: 5196683261.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 28. Suppose 5*z - 2*z = 0. Let l be x(z). Suppose 0 = 4*p - 16 - l. What is the highest common factor of 77 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4) - (-7)\/(-2). Which is the closest to 1\/3? (a) 4 (b) -2\/15 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3719 + 4*x + 2*x - 10*x + 5728.\nAnswer: -4*x + 9447","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/(-18))\/((-2)\/(-6)). Let q(z) = -2*z**2 + z**3 - 6*z**2 - 7*z - d*z**2 + 6 + 10*z**2. Calculate the remainder when 19 is divided by q(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -8 + (-1 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x**2 - 3*x**2 + x**2)*(5*x + 7*x - 8*x) to l + t*x**2 + p*x**3 + b*x and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -7*o**4\/4 + o**3\/3 - 3*o**2\/2 - 3*o - 84. What are the prime factors of r(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15873)\/(6292\/(-44)))\/(6\/(-2))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2)**(8\/7))**(3\/5) assuming i is positive.\nAnswer: i**(48\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -261140*o + 522240. Give g(2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d - 19*d**2 + 9*d**2 - 18*d - 37*d.\nAnswer: -10*d**2 - 45*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -354 (b) -3.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2064*r - 1519*r - 1487*r + 5043*r.\nAnswer: -27*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - o**2 - 3*o - 12. What is the units digit of n(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 5*v - 2*c + 1381, -5*c + 6925 = 5*v. What is the remainder when v is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + sqrt(135)\/sqrt(3)*-5)\/sqrt(9).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.7 (b) -5 (c) -2\/15 (d) -255487.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/2508857 and 4\/964945?\nAnswer: 12544285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 95*c - 20*c - 5*c**2 + 10*c - 4*c**2 in the form l*c + w + f*c**2 and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 744, 1554, 2542, 3798, 5412?\nAnswer: 7474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/76 and 37\/2486948.\nAnswer: 2486948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 6*d = 3*d + 10, -6 = 3*z - 3*d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + f + 24. Let r be w(4). Solve 6*y + 0*y - r = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9\/2 - -21\/4. Let y be ((-62 + 7)*-41)\/(-4). Let z = y - -564. Sort 0.5, z, l.\nAnswer: z, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*j**5 - 8023*j**3*x - 2*j*x - 277997*j + 7*x + 1 wrt j.\nAnswer: 1160*j**3 - 48138*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19\/65 + 9\/13. Let m(r) = -r**2 - 3*r + 4. Let p be m(-5). Let f be 1\/3 + (-22)\/p. Which is the third smallest value? (a) x (b) -8 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -26*(-2 + 4) - 2. Let b be 2\/(-12) + (-171)\/v. Suppose 4 = b*a + 1. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642928695?\nAnswer: 3, 5, 17, 29, 227, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 0, -4\/483, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12702379 and -2.\nAnswer: 0.25404758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from panwpwx. Give prob of sequence wna.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*v = 57*v + 60. Let c be 1*(v + (-3 - -4)). Let g = c - -17. Solve 0 = -3*p + p + g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6)*((-60)\/16 - -3). Which is the third smallest value? (a) 2 (b) 5 (c) 0 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.699768 + 4.7. What is v rounded to five decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4702, -3974, -3254, -2542, -1838, -1142, -454?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1273554*g - 41*g**2 + 636780*g + 636774*g + 43*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -958854, -1917706, -2876558, -3835410, -4794262, -5753114?\n\"Answer: -958852*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -i + 26. What are the prime factors of (i - (-5)\/2)*(-92)\/(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w**3 + 11*w**2 - 11*w**2)*(78*w + 3 - 168*w + 91*w) to h*w + v*w**2 + l*w**3 + p*w**4 + y and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 = -28955*d + 28996*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -16\/39, -1, -13\/8, -89\/2?\nAnswer: -16\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4 - 14*x**2 + 6*x**2 + 0*x**2 wrt x?\nAnswer: -16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08937 + 1.\nAnswer: 0.91063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14671, 58740, 132191, 235024?\nAnswer: 367239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.448, -0.2, -150?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*n**3 - 2336*n**2 + 4310*n - 2358*n**2 + 4638*n**2 wrt n.\nAnswer: 132*n - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/21 (b) 5 (c) 73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 483 - 2*p + 1606*p**2 - 1610*p**2 + 1507 in the form s*p + a*p**2 + x and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 5*w**2 + 5617555*w + 22470140 = 0.\nAnswer: -1123507, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -456 - -644. Suppose -5*k + g = 13. Suppose 7*z - 2*z = k. Calculate the remainder when z is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3940728581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 times -7.9?\nAnswer: -5174.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l + 9. Let u(m) = -2*m - 5. Let k(z) = 3*n(z) + 7*u(z). Suppose 2*g + f - 7 = -0*g, 2*g = -3*f - 3. What is k(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-13)*(l*(l*l**10)\/l)\/l*(l\/(l*(l\/(l*l\/l**(-2\/9)*l))\/l*l))**(-26) assuming l is positive.\nAnswer: l**(-547\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 252 + 62. Let h = z + -73. What is the remainder when 35 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -53. Let d = o - -34.026. What is d rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - -0.02100745\nAnswer: 16.02100745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 7*x - 64782. Suppose -9*i = x - 27025. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 393, 785, 1177, 1569, 1961?\nAnswer: 2353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5\/6 + 4\/3. Let g = -63\/4 - -445\/28. Which is the closest to h? (a) g (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64a75 (base 12) in base 8?\nAnswer: 403371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*s + 197*s - 8800 = 0. Suppose -209*o - s = -219*o. Calculate the greatest common divisor of 30 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 31?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15597, 125086, 422269, 1000992, 1955101?\n\"Answer: 15641*x**3 + x**2 - x - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1912, 1913, 1914, 1915?\nAnswer: 1916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8120 and 6960?\nAnswer: 48720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 + 10*w + 1. Give k(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - 87\/2. Let t(r) be the first derivative of 0*r - 2 + a*r**2. Give t(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/5, -0.4, 2\/27, 5, 17, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, n: 7, q: 8, v: 2}. Give prob of picking 2 q and 1 n.\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**4\/12 - r**3 - 3*r**2\/2 - 2*r. Is t(8) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**4\/12 - r**3\/6 + 8*r. What is s in a(s) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001111000 - 1?\nAnswer: -1011001111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r + 3. Let w be t(0). Suppose -w*l - 12*l + 75 = 0. Suppose 3*a + 4 = -l*g, g = -2*a + 3*g + 24. What is the greatest common divisor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (583\/(-3))\/((-13)\/78). Which is smaller: 1167 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358350199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**4 + 2*q**4 - 9*q**4 + (-q**3 + 0*q**2 + 0*q**2)*(0 + q + 0) + 0*q**3 + 0*q**3 - 2*q**4 to i*q**3 + r*q**2 + w*q + f*q**4 + p and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5772.\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p**3 - 4*p**2 + 5*p - 6. Suppose 76 = -6*q + 1996. Let a = q - 316. Let u(l) = -l**3 - l**2 + l - 1. What is a*u(r) - m(r)?\nAnswer: r**3 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 80*u**2 - 155\/3*u**3 + 180*u + 106 + 15\/4*u**4. Factor z(l).\nAnswer: 5*(l - 9)*(l - 2)*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.7344 times 1?\nAnswer: 17.7344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*y**2 - 218 + 21*y**2 + 79*y**2 + 218 + y.\nAnswer: 138*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -14. Suppose -5*o - 15 = j, 4*p = -3*o + 4*o + 187. Suppose 3*f - p = -4*v - 1, -v + 30 = 2*f. Solve 4*q - f = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -177.14 + 177. Let m = q + 8.09. What is m rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1489782)\/(-23226) - 124\/(-14)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -674869 or -674865?\nAnswer: -674865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 22038954732?\nAnswer: -22038954734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 522\/(-42) + 5 + 39\/(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-6))\/(1\/3). Let h(x) = -3*x - 4 - x**3 - 5 - x + 4 + 6*x**p. Give h(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 2*l**7 - 9*l**3 - 13. What is the third derivative of s(y) wrt y?\nAnswer: 1680*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**3 - 7*o**2 - o. Let i be z(-3). Calculate the highest common factor of i and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 + 1 - 1 + (0 - 3 + 4)*(4 - 2 - 4)*(-h**4 - 6*h**4 + 2*h**4).\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/13, 0.6, -1\/4 in descending order.\nAnswer: 0.6, -2\/13, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49437.0456 - -49458. Let k = -21 + v. Let f = k - -0.04. What is f rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4720*q**3 + 5*q + 570 wrt q.\nAnswer: -28320*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/9)\/((-6)\/9). Let r(i) = 4*i - 1. Let v be r(h). Which is the nearest to -2\/7? (a) v (b) 2\/7 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 46670*s**2 - 359*s. Let h(k) = 778*k**2 - 6*k. Let a(l) = 359*h(l) - 6*x(l). Let d(n) = -n**2. What is d(a(c))?\nAnswer: -515524*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 95731546 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 965, 973, 983, 995?\n\"Answer: b**2 + 5*b + 959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -892 + 230*m + 892 + (-1 - 1 - 3 + 0 - 4 + 5 - 4 - 2 + 5 + (-1 - 3 + 5)*(2 + 2 - 6))*(2 - 2 + 2*m).\nAnswer: 216*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = k + 7 + 3, w - 8 = -k. Calculate the least common multiple of 10 and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.040936 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.5, 2, -2\/23, 67, 4\/5, 5 in descending order.\nAnswer: 67, 5, 2, 1.5, 4\/5, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(3276\/7)*18\/4\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or -9\/1094?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4\/5 + 9309*l**3\/5 - 3141402*l**2\/5 - 25578304*l\/5 - 51454752\/5 = 0.\nAnswer: -4, 359, 8958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 904700 and 1357880.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1208 = 2*n, -5*g + 5*n + 1664 = 444. What is the greatest common divisor of 285 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.18 + -5.98. Which is greater: -27 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2\/9, 0.3, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/21*(-45)\/24.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 20. Suppose -4*a + v*a = -3. Solve -a*s = -5*s - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*x = -0*x - 585, 4*r - x = 1137. Let d = r - 204. What is the greatest common factor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99 divided by -19\nAnswer: 99\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 4*m**2 + 5*m + 4. Let v be d(-2). Put v, 4, -56 in descending order.\nAnswer: 4, v, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57\/55 - -18\/11. Suppose 4*m = 4*l + 28, -m - 4*l = 2 + 6. Suppose m*a = 3*p - 4, -4*p - 3*a - 3 = -0*p. Put 7, s, 1, p in decreasing order.\nAnswer: 7, 1, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(704)*-3 + sqrt(704) - -1*(sqrt(704) + 1 + sqrt(704)) - (2*sqrt(704)*-2 - (sqrt(704) + 1 + sqrt(704) + -1)))**2.\nAnswer: -384*sqrt(11) + 25360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -15895*x + 3. Calculate q(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10212200 (base 4) in base 2?\nAnswer: 100100110100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 640 and 104.\nAnswer: 8320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**5\/3 + 9496*b**4\/3 - 162810*b**3 + 5130892*b**2\/3 + 26688440*b\/3 + 9598000 = 0?\nAnswer: -4799, -2, 25, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + sqrt(11))*-3.\nAnswer: -3*sqrt(11) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 125889*j**2 - 3*j + 2. Let b be k(1). Suppose 5*p + 3*p = b. Suppose -5*d + 339 = -p. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8\/5 + 4\/5. Factor -8\/5 + 1\/5*o**3 - 6\/5*o**2 + x*o.\nAnswer: (o - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.787861 kilograms in milligrams?\nAnswer: 2787861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 11 + 2)*(-11 + 11 + 5*n).\nAnswer: 55*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**4 + 0*x + 85285*x**2 - 86324*x**2 - 363 - x wrt x.\nAnswer: 12*x**2 - 2078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*d*n**2 + 2*d*n - 3*d + 19*n**5 + 466*n**3 - 693*n - 201 wrt n.\nAnswer: 56*d + 380*n**3 + 2796*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 6:24 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**6\/120 + k**5\/20 + k**4\/12 - k**3\/2 - 2*k**2. Let g be t(3). Let c(q) = q**2. Calculate c(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 4. Let j be n(5). Let r = j + 11\/9. Let c = -0.1 - -0.1. Which is smaller: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 3*t**2 - 5*t + 6. Let x be k(4). Suppose x*r = -r. Suppose -3*w - 4 + 25 = r. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.329 (b) 256 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**5 + 1974180*y**4 + 37510835*y**3 + 153994150*y**2 - 276397500*y - 394855000 = 0. What is y?\nAnswer: -10, -1, 2, 394855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6*(12 + -9). Let p be 6\/(-4)*(r - 420). Suppose -4*k + p = -k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/3483 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*l**5 - 4*l**2 + 0 + 13*l**5 + 0 wrt l?\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/11408)\/(6\/(-96))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**3\/6 - l**2\/2 - 2750*l. Let t(m) = -7*m - 2. Calculate -2*r(j) + t(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 266870022 and 4974?\nAnswer: 4974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*s + 3*o, 0*s = 2*s + 5*o + 29. Let r(n) = n - 1. Let i be r(-11). What is the lowest common multiple of 14 and 4199\/78 + s\/i?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + sqrt(1573)*-1 - sqrt(1573))*-3 + sqrt(130)\/((sqrt(80)*1)\/sqrt(8)).\nAnswer: 34*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 + 8*d**2 - 4*d - 4. Let u(r) = 2*r - 14 - r**2 + 15 - r. Suppose 2*q - 2 = 6. Let x(b) = q*u(b) + v(b). Factor x(n).\nAnswer: 2*n**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(1\/2)\/n*n*n*n**(-1\/2)*n*n*n\/(n\/n**(10\/9))*n**(3\/4) assuming n is positive.\nAnswer: n**(211\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 3. Let x = -5 - 0. Let h = -174 + 178. Let f(m) = 8*m - 10*m + h*m - 7. What is x*u(r) + 2*f(r)?\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 59041 and 1.\nAnswer: 59042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737659 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.07, 3\/4, -1, -208.\nAnswer: -208, -1, 0.07, 0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -37064*l**2 - 3*l + 12. Let t be (0 + -1)*(2 + 0). Let p be 8\/12 - ((-20)\/(-3) + t). Let d be a(p). What is d rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -196 (b) 0.113 (c) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 18*o + 12*o + 12 - 30*o + 0*o**3.\nAnswer: 2*o**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/(-44)*6848\/1070.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + sqrt(153) + sqrt(136)\/(2*sqrt(8))*5.\nAnswer: 4 + 11*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96) + 2*sqrt(96))\/(sqrt(6)\/sqrt(27) + sqrt(2)) + 4.\nAnswer: 4 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 33 = 3*t, -171*t - 170*t + 6*v = -340*t + 25 + 26 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 33*u + 19. Let z be i(-6). Let n = 15 - z. What are the prime factors of n?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2435*w - 2471*w = -36. Is 109\/149 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 1665*v - 15114. Give x(9).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((w - 5*w + 9*w)*(-1 + 2 - 5) - 4*w + 5*w + 0*w)*(3*w + 4*w - w**3 + 3*w).\nAnswer: 19*w**4 - 190*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 807 times 0.04\nAnswer: 32.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -20404 minus -306611?\nAnswer: 286207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4594 - -6797. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppqtpqttqqtqq. What is prob of picking 2 p and 1 t?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407850.\nAnswer: 2, 3, 5, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.340304 + 1.406. Round b to 3 dps.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c**5 + 1584*c**3 + 4*c**5 + 132*c**4 - 300*c**4 + 3872*c**2.\nAnswer: 4*c**2*(c - 22)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + d + 19 = -3*d + 2*y, d + 2*y + 22 = 3*y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 10*n**2 + 13*n - 13. Let d be (3*(-11)\/6)\/(1\/(-2)). Let b be m(d). Solve 7*u - b = 19 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -92 + -37d?\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/8941965 and 69\/5961310?\nAnswer: 17883930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43551852 and 696.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4980 divided by 12\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154272.\nAnswer: 2, 3, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 2*g**4 + 3*g**3 - 9. Find the third derivative of s(m) wrt m.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**3 - 43*f**2 + 31*f + 50. What is s(-22)?\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**2*q**2*w - 2*b**2*q*w + 5*b**2*w - 3*b**2 + b*q**2*w - b*q**2 - 2*q**2*w - 67*q**2 + 2 wrt b?\nAnswer: -6*q**2*w - 4*q*w + 10*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 50*y**2 + 1. Suppose 3*s = -15, -2*s = 2*a - 3 + 5. Suppose 13 = b - n + a*n, -15 = b - 4*n. Calculate the remainder when j(b) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 461 + -250. Suppose -14*q + k = -237. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o + 5797 + 22695 = 581*o + 6181 for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600960 a multiple of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/17, 3, -0.5, 2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/4)\/v)\/v*v**(-1)*v*v**(-8)*v*(v**(-1)*v*v)\/v*v*v)**(11\/6) assuming v is positive.\nAnswer: v**(-341\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgff when four letters picked without replacement from uqgqfquqrfqcccq.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 97348811891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 1981\nAnswer: -1\/1981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -42*s - 273034. Let k(a) = -3*a**2. What is j(k(x))?\nAnswer: 126*x**2 - 273034","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 93*o**2 + 108*o - 254. What are the prime factors of a(17)?\nAnswer: 149, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -908366*t + 908366*t - 25*t**2 as q*t**2 + f*t + n and give q.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7047\/20 - 1658\/5. What is the common denominator of r and -23\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*y**3 + 53*y**3 - 31*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*f - 7*f + y - 735, -4*f - 4*y = -604. What are the prime factors of f?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (228\/24)\/((-2)\/(-4)). Let f(o) = -o**3 + 18*o**2 + 19*o + 6. Let u be f(c). Solve 0*t - u = 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8950 = -0*r + 5*r, -r - 6*a = -1790. What is the least common multiple of 6 and r?\nAnswer: 5370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100976 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**2 + 21*n - 2. Let z(m) = 4*m**2 + 22*m - 3. Determine 3*o(q) - 2*z(q).\nAnswer: q**2 + 19*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-4))\/(49\/49).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*n**3 + 253*n**3 - 42*n**3 - 43*n**3 - 43*n**3 - 44*n**3 - 48*n**3.\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1631 - -31263.27.\nAnswer: 32894.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 1\/8, -5, 1 in decreasing order.\nAnswer: 1, 1\/7, 1\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 143 - 219. Let q = 75.59 + h. Let v = -0.11 - q. Which is the second biggest value? (a) v (b) -0.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0840459 + 18.9147941. Let i = -53 - -34. Let d = l + i. What is d rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214321 is divided by 197.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 255*r**2 + 13*r + 17. Let m be h(-8). Factor -m*g**3 + 16234*g**3 + g**4 - g**2 - g**2.\nAnswer: g**2*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1840626, -1840622, -1840608, -1840578, -1840526, -1840446, -1840332?\n\"Answer: s**3 - s**2 - 1840626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 28. Let w(x) = 5 - y - 6*x + x**3 - 2*x**3 + 6*x**2. What is the tens digit of w(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i**2 + 13*i + 86. Let w be n(-9). Let j = w + -534. What is o in -1\/2*o**j - 25\/2 + 5*o = 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1\/6, -23, 0.31, -13?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71 + 24 + 63 + 116)*(-4 + 4 - 2)*(-4*h + h + 2*h).\nAnswer: 548*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 244 + -4231044?\nAnswer: -4230300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41390 is divided by 40422.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**2 - 185532*z + 185531 = 0.\nAnswer: 1, 185531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*o + 2990 + 2130 = 0, z + 4*o - 1704 = 0. Suppose 0 = -55*h + 51*h + z. What is the greatest common factor of h and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 8*m**2 - 6*m - 10. Calculate j(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 + 92188576127\nAnswer: 92188576126.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -125 + 62. Let k = a - -114. Suppose 3*t - 51 = k. What is the highest common divisor of t and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i - 1. Let b = -28 - -18. Let h be b*1\/(-2) + -3. Let v be a(h). Solve -4*u = -v*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*l = 26. Let i be 4\/(-2) + 0\/l. Let f be (i\/(-6))\/((-7)\/21). Put 4, 1, f in descending order.\nAnswer: 4, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 14. Let g = m + 8. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 27 = 5*y, 3*y + 9*p = 8*p + 13. What is the least common multiple of 98 and y?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 30. Suppose 4*i - 2*w - a = -0*w, 0 = 5*i - w - 18. Solve -3*b - b = i*j - 18, -b - 5 = -4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-7)*9)\/(4\/28). Let p(q) = -2*q - 29. Calculate the remainder when (2\/3)\/((-4)\/(-78)) is divided by p(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 3. Let h(d) = -6*d**2. What is h(s(m))?\nAnswer: -6*m**2 - 36*m - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -107*i + 16. Let u be w(-9). Suppose -x + u = 177. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-11 + 4 - -832)*5 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 9:40 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1429 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(8\/(-44) - (-36)\/(-44)). Which is the third biggest value? (a) 1 (b) 5 (c) q (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5 + 6*g + 6*g**2 + 3 - 3. Let t(m) be the second derivative of -7*m**4\/12 - 7*m**3\/6 + 3*m**2 - m. Determine -4*t(k) - 5*u(k).\nAnswer: -2*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403807 is divided by 31061?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -8.6 (b) -2705 (c) 16\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*y = -17 - 256 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -12*i**4 + 5*i**2 + 4. Suppose 7*f + 38 = 3. Let y(k) = -13*k**4 + 6*k**2 + 5. Let q(n) = f*y(n) + 6*t(n). Differentiate q(z) wrt z.\nAnswer: -28*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5646337?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -28*c - 19. Give n(3).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 41. Let o be c(-11). Let a = 46 + o. What is the third derivative of -a*h**5 - 591*h**4 + 591*h**4 - 31*h**2 + 4*h**2 wrt h?\nAnswer: -960*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*z - 35 = -6*t, 63 = 4*t + 3*z. Let n be 6\/(-8) + 497\/28. Let g be t - 11 - n\/(-1). Calculate the highest common factor of g and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -92*j**2*n + 2*j**2 - 3*j*n + 2*j + 10*n wrt j?\nAnswer: -184*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4190067 divided by 9.\nAnswer: 465563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 j when three letters picked without replacement from hhjjjjjhjjukjkhxjj.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 103279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/(-5)*23275\/49.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 66278, 132593, 198944, 265337, 331778, 398273?\n\"Answer: g**3 + 12*g**2 + 66272*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 7:53 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -102001 (base 3) to base 15\nAnswer: -14d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5982 in 1294, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and 769083.\nAnswer: 9228996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + -35 + (-4 - (2 - 1 - 4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*a + 52050 - 71631 = 0 for a.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.81596 weeks in hours?\nAnswer: 13241.08128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10203 + 21320001?\nAnswer: 21303132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-68)\/6 - (-2)\/6. Let m = -8 - t. Let j(c) = -2*c + 2. Let g be j(1). What is the biggest value in g, m, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1748479184 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**46*n)\/n)\/n)**(-2\/17)\/(n**26)**(-31))**(-14\/5) assuming n is positive.\nAnswer: n**(-38108\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7*x*x*x\/((x**(-6\/7)\/x)\/x))\/(x**(2\/31)\/(x\/(x\/((x**(-9)*x)\/x))))*((x*x**(2\/9)*x)\/x**(1\/9))**(3\/4) assuming x is positive.\nAnswer: x**(13999\/2604)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 546?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -4 (c) 1\/7 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/96 and 27\/160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106652 (base 8) to base 6.\nAnswer: 435522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0481 take away 262152525?\nAnswer: -262152524.9519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 50912*s - 324003968.\nAnswer: -2*(s - 12728)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85 + 84.9. Suppose -4*w + 5*w + 7 = t, 0 = 5*t + 3*w - 59. Suppose -2*j + t = 0, 2*j - 1 = -4*h - 7. What is the closest to f in 11, h, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2533487, 2533491, 2533495, 2533499?\nAnswer: 2533503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 365 and 941846.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*h + 3*i, -12 = -192*h + 196*h + 3*i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 256 and 10528?\nAnswer: 84224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2*(-1024)\/24)\/(-5 + (-68)\/(-12)). Which is bigger: j or 84?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/28*(-132)\/(-154))\/((-1)\/(-1))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10425 - (10\/2 + -7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6*l + 46. Let h be y(7). Solve -n = 2*w + 4, h*n = -0*n - 4*w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**3\/3 + 13*k**2\/2 + 3*k + 5. What is the units digit of i(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 47. Let y = -15.5 - q. Let g = 12.5000186 - y. Round g to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*n**4 - n**4 + 0*n**4)*(10*n + 5*n + 0*n).\nAnswer: 180*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 14777138?\nAnswer: 162548518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 474*w**2 - 369324*w + 369324*w.\nAnswer: 474*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1503 - 683. Suppose -2*f - 178 = -i, -5*i + 55 + y = -5*f. What are the prime factors of i?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/42 and 167\/240.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1760*r - 21721 = 334*r + 118594 - 29333 for r.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.7 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 10:11 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.413+-0.03\nAnswer: -0.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-14))\/(((-198)\/63)\/11). Which is the second biggest value? (a) 0.3 (b) x (c) -3 (d) 1\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 1. Let p(y) = y + 1. Let v(r) = r**2 - 4*r + 4. Let d be v(0). Determine d*p(q) + 5*h(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120*(-75)\/(-3600)*(-36)\/(12\/4).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j**(-5)*j))\/(j*j*j**5))**(-26)*(j**(-2\/7)*j*j*(j*j**(4\/9)\/j*j)\/j)**(2\/3) assuming j is positive.\nAnswer: j**(10100\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*i**3 - 10*i**2 - 92*i**3 + 55*i**3 in the form d*i + x + b*i**2 + h*i**3 and give h.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -1521*m**3 + 17*m**2 + 3*m + 17. Let d(r) = -509*r**3 + 6*r**2 + r + 6. Give -17*d(i) + 6*f(i).\nAnswer: -473*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2440861 is divided by 1688?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 3*r + 9, 13*r = 4*l + 16*r + 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + 5)**2 + (sqrt(17) + -2 + -2)**2.\nAnswer: 52*sqrt(17) + 670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 1:02 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -0.37, 4, -0.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 663 + -663. Solve -r = 4*d - 24, -2*r - 3*r + 4*d = z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1838892019.\nAnswer: 547, 773, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) 4235 (c) 1 (d) 0.3 (e) 0.05 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*c + 241*c = -112 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(784) + sqrt(16))\/sqrt(8) - (0 + sqrt(288)))**2 + (3*sqrt(1600))\/sqrt(8)*-6)*-5.\nAnswer: -160 + 900*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22.3 - 151.2. Let x = 173 + r. Which is the second biggest value? (a) 24 (b) 1 (c) x (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 12 = 0, 3454 = -7*i + 9*i + 2*v. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 11*s**2 + 10*s + 2. Let j be h(10). Suppose -j*u = -2*a - 76, -5*u - 4*a + 6 = -220. Suppose 2*g = 70 + u. Does 32 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1956953.304 - 1956870.3040037. Let l = 83 - d. Round l to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5537 is divided by 5469?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(147) - (sqrt(147)*5 - sqrt(147))) + 3)**2.\nAnswer: -252*sqrt(3) + 2664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -887*s + 1313*s - 897*s + 37404 = 104286 for s.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 28 = -c + t, -397*c - 268 = -389*c - 2*t for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8\/13 - -14\/65. Let s = 0.06 + -1.06. Is v equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 13*z**2 + 7*z - 14. Let p be x(-12). Find the common denominator of ((-26)\/(-10))\/(p\/(-55)) and -83\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/12*(1248\/408)\/13.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1049, 2834, 4619?\nAnswer: 6404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 31.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 12 - 7*g + 13.\nAnswer: -7*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*r**3 + 16*r**2 - 16*r**2)*(142*r**2 - 59*r**2 + 50*r**2 + 96*r**2).\nAnswer: -3206*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*q - 25*q + 10*q - q**3)*(30*q + 60*q - 646*q) to the form i*q**3 + h + w*q + s*q**4 + c*q**2 and give s.\nAnswer: 556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -637188 divided by 159297\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 2 - -2)*264\/11. Suppose 5*a + 3 - o = 0. Let k(n) = -21*n + 15. Let c(v) = 11*v - 8. Let y(l) = a*c(l) + 5*k(l). Determine y(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-9) + -4 + 4. Let y = -1509\/7 + 216. What is the third smallest value in 2, w, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 4320.\nAnswer: -2160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 a, and 1 u when four letters picked without replacement from zzsurazuaxrsru.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1301*h + 6510. Let s be x(5). Let q = 7 - 11. Which is the nearest to -4? (a) -5 (b) q (c) s (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*k - 45575 = 284*k + 205 for k.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -14*s - 86. Let c be a(-7). Suppose 0 = c*i - 6*i - 918. What are the prime factors of i?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103904865*y**3 + 331996484*y?\nAnswer: -623429190*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 43956, 87854, 131746, 175632, 219512, 263386, 307254?\n\"Answer: -3*s**2 + 43907*s + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4141*z**3\/6 + 8281*z**2\/6 - 4139*z\/6 - 1\/6.\nAnswer: -(z - 1)**2*(4141*z + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1295\/1155)\/37*36?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4749.1 - 4749. What is the closest to i in -14, 33, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20\/7*w - 8\/7 - 8\/7*w**2 = 0. Calculate w.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4526.8 - -5290. What is u rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11413 a multiple of 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011498 to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**7\/280 - b**6\/360 + b**5\/40 + 13*b**4\/24 - 11*b**2. Let d(o) be the second derivative of z(o). Is d(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 18*d - 22. Give k(-12).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118098.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/3*2\/(20\/645) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703204 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 210*m**5*u - 2*m**5 + 9*m**2*u - 31*m*u + m + 1619*u wrt m?\nAnswer: 4200*m**3*u - 40*m**3 + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3489663 in 3, -4\/7, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 89 * 345.5.\nAnswer: 30749.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7154512 rounded to the nearest 10000?\nAnswer: 7150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 52356048 rounded to the nearest one hundred thousand?\nAnswer: 52400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203005 is divided by 25372?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**2 - b. Let z(l) = 10*l**2 - 4. Calculate -4*f(s) - 2*z(s).\nAnswer: -8*s**2 + 4*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 73 + 53. Does 15 divide ((-150)\/a)\/(1\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35166604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + -1 + 6*(-4)\/12. Suppose 0 = 32*n + l*n - 31570. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a decade in years?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45984 and 3200?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -32*q**2. Let p(o) be the first derivative of 2*o**3\/3 + 15*o - 37. Let c(b) = b**2 + 9. Let x(w) = -5*c(w) + 3*p(w). Give v(x(f)).\nAnswer: -32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93105848 to the nearest integer?\nAnswer: 9649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b = 0. Suppose 33*c = 38 + 226. Solve b = 2*i - 6*i + c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 104, 80, 60, 44, 32, 24?\n\"Answer: 2*c**2 - 30*c + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 2:04 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1722 + 64.1722. Let k = -56.8 + 10.8. Let g = f + k. Which is smaller: 0.2 or g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 n when three letters picked without replacement from fhlfnnlrfnhf.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 68*a**3 + 4*a**2 + 28*a - 99. Is m(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {r: 1, t: 1, g: 8, p: 6, q: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by -19.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2))\/f)**(-48)\/((f*f*f\/(f\/(f*f**(-8)\/f)))\/f*f*f**(1\/2)\/f) assuming f is positive.\nAnswer: f**(-179\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3561342 (base 7) to base 9\nAnswer: -757810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 2021012?\nAnswer: -2021022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5 = -0*c + c, 0 = 3*c - 5*y - 14. Suppose 64 = c*s + 67. Is ((-838)\/(-6))\/(s\/(-9)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 117*m = 294 - 1050. Calculate the lowest common multiple of 84\/22 - 4\/(-22) and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12906 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202020 is divided by 18358?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 5*h + 4*j + 19 = 0, 12*h - 3*j = 9*h - 12 - 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*w - 2*k, -3*k + k + 4 = 0. Let g = w + -4. Is (g\/2 - 3) + 15 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*r + 5*r - 14*r.\nAnswer: -39*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 149 + -181. Is -30 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 8 + -11)*-1*3. Let x = 10 + -5. Sort 11, b, x in decreasing order.\nAnswer: 11, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4484990 (base 11) to base 14\nAnswer: -10863c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12115\/3432 + 161\/78. Let o = -11\/8 - u. Sort -0.2, -31, o in increasing order.\nAnswer: -31, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - b**2 + 2*b. Suppose -13*y = 11*y - 792. Suppose -66 = 11*a - y. What is n(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b1 + -5?\nAnswer: -1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13012, -26074, -39214, -52432, -65728, -79102?\nAnswer: -92554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -6. Is (-2)\/(((-1)\/(-23))\/t) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -3 + 4)**2*-2.\nAnswer: -8 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 864304416?\nAnswer: 2, 3, 3001057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**8\/(q*q*q**(-9))*q**8*q**5 assuming q is positive.\nAnswer: q**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(0 + 0 - 3*a + (3 - 4 + 3)*(a + a - a) + (-3*a + a + 3*a)*(3 - 2 + 2)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1700 is divided by 192?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 i, and 2 w when four letters picked without replacement from {w: 8, h: 4, s: 1, i: 1, y: 2, n: 4}.\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven eighths of a microsecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 3*f**2 + 3. Let u be m(-3). Suppose 11*a - u*a = 576. Is 36 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 r when four letters picked without replacement from {b: 3, r: 1}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2488454, 2488450, 2488446, 2488442, 2488438, 2488434?\n\"Answer: -4*w + 2488458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-5 - (4 + (-3 - (9 + -12))))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*6\/324*(-1)\/1.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/3))**49)**(2\/79)*(x**5\/(x\/x**(-6)*x))**37 assuming x is positive.\nAnswer: x**(-25817\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04 from 151.\nAnswer: 151.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -98*u**2 - 374*u wrt u.\nAnswer: -196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8734747313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.22427385 * 5.\nAnswer: -21.12136925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*x - 2*s, 2 - 11 = 3*x - 2*s. Let n(g) = -g**3 - g**2 - 2*g - 1. Let k be n(x). Let o = k - -13. What is the greatest common factor of o and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*x - 4 - 0, 5*m - x = 11. Let t(u) = 2*u**2 - u**m + u**2. Let q(b) = -8*b. Determine q(t(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41992757.\nAnswer: 41992757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119.0009793 - 119. Round t to 5 dps.\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 2\/3, -210, 2, 118?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5 = o. Find the second derivative of 9*g**2 + 2*g**o + 15*g - g**2 wrt g.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19915783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 466112223*-0.5.\nAnswer: -233056111.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 88018 divided by 1\nAnswer: 88018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15319499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o - 11*o + 4*o + 4 + 0 - 13*o. Determine d(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -8*b**3 - b**2 + b - 2. Let r(z) = z**2 + 5*z + z**3 - 4*z + 6*z - 6*z. Let k(h) = -r(h) - s(h). Let f be k(1). Solve -4*p = 5 + f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/(-108) + (-422)\/(-18). What is the third smallest value in l, 1\/2, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 0 + 2)*(-5 + 2 + 1) - 3 - 3 + 4 + 0 + 0 + 2 + (-2 + 1 - 2)*(-3 + 1 + 1))*(26*s + 79*s - 15*s) - 2*s + 0*s - 5*s in the form z*s + a and give z.\nAnswer: 623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 101, 88, 77, 68?\n\"Answer: k**2 - 16*k + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 512 + -3?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/7 - -10\/21. Let o = 458 - 316. Let s = -144 + o. Which is the closest to l? (a) s (b) -1 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/6 - 11\/3. Let p be (((-156)\/(-18))\/1)\/((-170)\/51). Which is greater: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12102331 + 102?\nAnswer: 12103033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (25944\/115)\/(6\/40). Calculate the highest common divisor of 47 and a.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.02998403 and 0.1?\nAnswer: 0.07001597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*x*x*x**(3\/2)*x)\/x))**(-28)\/(x*x**(1\/6)*x\/x**(-14)))**(3\/11) assuming x is positive.\nAnswer: x**(491\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 649734\/7 + -92819. Let 5\/7*g - l*g**3 + 0 + 4\/7*g**2 = 0. Calculate g.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -125 + 125.59. Let a = 0.5859 - w. Round a to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -911*c**3*q**4 - 2*c**3*q**2 + c**3*q + 9*c**2*q**4 - 1716*c**2*q + 9*c*q**2 wrt q.\nAnswer: -21864*c**3*q + 216*c**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140.9 - 141. Which is the nearest to -3\/5? (a) m (b) 2\/5 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10576 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 62 + -1051?\nAnswer: -656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -45, -1, 31, 3?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*w + 980 + 988. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-27)\/(-162))\/((-14)\/24). Is n > 125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a millimeter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 15.3. Let v = j - 0.4. Do v and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1534*a + 140 = 1562*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*v + 5. Suppose -l + 2*l = -5*m - v, -4*m = -l + 7. Suppose -3*q + 738 = -3*s, -4*q - s = -l*q - 254. What is q rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a**2 - 3*a. Let q be n(2). Suppose 2*t = -4*u + q, -7*u + 26 = -2*u + 3*t. Find the common denominator of 75\/2 and (-1)\/16*u + 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*u = -5*u - 2, 4*u = 4*x - 20. Let q be -2 + x + -1 - -46. Calculate the highest common factor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(176) + 4.\nAnswer: 4 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(72)\/sqrt(4)*-4*-2)\/((sqrt(108)\/sqrt(3) + sqrt(36))\/sqrt(4) - (sqrt(9) + (sqrt(45)\/(sqrt(15)\/sqrt(3)) - sqrt(9)))).\nAnswer: -2 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5229 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30\/11 + -628\/77. Let p = 40\/7 + k. Is p equal to -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c + 67. Let o be f(-5). Let k(u) = -7*u - u**2 - 46 + 91 - o. Determine k(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30 and 0.06248.\nAnswer: -1.8744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 364666987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-2) - 3*-7. Suppose -c - 41 = -4*b + 3*h, -3*b = 2*h - 31. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.177 take away 0.5?\nAnswer: -0.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -775 or -776?\nAnswer: -775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28253, 28538, 29315, 30830, 33329?\nAnswer: 37058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2552 + 2555. Which is the closest to f? (a) -2\/7 (b) 0.3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12922, 25074, 36462, 47086?\nAnswer: 56946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j - 5. Let k(q) = -2*q + 3. Let p = -17827 - -17814. Give p*k(l) - 6*v(l).\nAnswer: 2*l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, 187, 6, -4, -1, -2, 4 in ascending order.\nAnswer: -4, -2, -1, 4, 6, 63, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + -2 - 1)\/(1\/105). Let y be 2\/14 - 50100\/u. Let p = -214 - y. Does 30 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(76))**2*-4 + -4 + sqrt(1216) + -1 + sqrt(1216).\nAnswer: -4869 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2 + 2 - 4 + 1. Let d(f) = f - 12. Let h be (-20)\/(-11) - (-6)\/33. Suppose 135*p + 223 = 3193. What is h*d(a) + p*g(a)?\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -345 and 1950171.\nAnswer: -672808995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -513604714 divided by -4154.\nAnswer: 123641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from kkkjhjhkkkkjjj?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 2*z + 22974, -2*v + z - 18381 = -6*v. Let k(q) = q**2 + 3*q - 1. Let o be k(1). What is the hundreds digit of v\/24 - (-1)\/(-2) - o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h + 1 + 23*h + 9*h**2 + 24*h**2 - 4.\nAnswer: 33*h**2 + 16*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -s + 24. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -143 + 159. Suppose -5*k = -5*w - 50, 5*w + 3*k = -0*w - 34. Let j be ((-4)\/b)\/((-42)\/w). Is -1 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -483166, -966341, -1449516?\n\"Answer: -483175*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*n + 144*n + 129*n - 547*n + 134*n + 5*n**2.\nAnswer: 5*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -90*b*v**2 + 242*b - v**2 + 2 wrt v?\nAnswer: -180*b*v - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133 - -246. Let p = f - 106. Let r be 5 + 2 + (-3 - -1). Solve p = -4*d - r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 - 3*r**2 + 3*r**2)*(3 - 3 + r**2) - 3*r**5 + 5*r**5 - 4*r**5 + 21*r**5 - 7 - 11*r**5 + r**3 + 628198*r - 628191*r.\nAnswer: 6*r**5 + r**3 + 7*r - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y**2 + 3*y - 1. Let f be w(-3). Suppose 5*a + 2*c = -538 + 65, -a = 5*c + 113. Let l = f - a. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 - -4.8. Let x = -285325\/9 + 31788. Let h = 85 - x. Put g, h, 4\/5 in descending order.\nAnswer: g, 4\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 17001764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 6*z - 14. Give h(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15, -101, -143, -141?\n\"Answer: 22*k**2 - 152*k + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**3 + 9*p - 8*p**2 + p + 12 - 3*p**3 + 5*p**3. Let v be g(-9). Let j(d) = -d**3 + 3*d**2 + d - 1. Let h be j(3). Solve -h*q - v = 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwwkwwwkwk. Give prob of sequence kkk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**4 - 178*s**3 - 869*s**2 - 692*s = 0. Calculate s.\nAnswer: -173, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209760 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1380, 2590, 3800?\nAnswer: 5010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.09 - 0.09. Suppose -162*y + 118*y - 4*y = -240. Which is the closest to 2? (a) 2 (b) y (c) v (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 134, 251, 382, 533, 710, 919, 1166?\n\"Answer: c**3 + c**2 + 107*c + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 552, 967, 1378, 1785?\nAnswer: 2188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.3 - -3.4. Let m = v - -5.9. Let n = 0.16 - -2.84. Put m, 4, n in decreasing order.\nAnswer: m, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (194 - 155 - (1 + 9)) + -12?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3575?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8739815 and 337680?\nAnswer: 2345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32767 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0932149l in millilitres?\nAnswer: 93.2149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 8*q**2 + 7*q - 9. Suppose -10 = f + 5*w, -7*f + 70 = -3*f - 2*w. Let r be (56\/(-35) + 4)\/(6\/f). Determine c(r).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19639115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153, 350, 545, 738, 929?\nAnswer: 1118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 139*o + 408 - 408 + 187*o - 3*o**2 + 277*o in the form v*o**2 + c + u*o and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 11 = -9*a. Suppose c - 1 = -a*j - 2, 0 = 3*c - 4*j + 3. Let q be (-10)\/c + 0 - (8 + -6). Calculate the greatest common factor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, v: 2, m: 4}. What is prob of sequence ccvm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2448853 is divided by 111309.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2\/5, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04142729 rounded to 3 dps?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39039891.\nAnswer: 3, 11, 1183027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, -0.3, -0.5, 19512, 0.4 in descending order.\nAnswer: 19512, 0.4, -0.3, -0.5, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -6*s + 65. Let g be (16\/10)\/(2\/(-10)). Let v = s - g. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2628 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 1096362?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -62 (b) 0.5 (c) 87\/532 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8\/3*(22\/(-12))\/11\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r + 3. Let d(b) = -4*b + 4. Let t(h) = 4*d(h) - 3*f(h). Let o be t(5). Suppose 4 = -o*k + 10. Solve -2 = g - k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -2*l + 7*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 171237773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-6)\/m)**(-3\/50)*(m*m\/(m\/(m*m**(1\/7)*m)))\/m**(-2\/11))**2 assuming m is positive.\nAnswer: m**(14417\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8*o + 24. Let s(q) = q**3 + 14*q**2 - 13*q + 25. Let w be s(-15). What is the tens digit of z(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -499872.\nAnswer: 1\/499872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 0.5, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 7:52 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -4. Is 26\/(2\/1 + r) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 5*z + 80 + 658. Calculate the highest common divisor of z and 820.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 27.5, -1, -91, 49?\nAnswer: 27.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.053 take away 1930867550?\nAnswer: -1930867550.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 292 + (1 - (-1 + 1)). Let s = a + -208. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524222 is divided by 2072.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3989, -2512, -1037, 436, 1907, 3376?\n\"Answer: -h**2 + 1480*h - 5468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -1. Suppose -f - 56 = p*f - s, 0 = -5*f + 5*s - 90. Let h = -11 - f. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 2*f**3\/3 - 92*f. Let p(n) = 2*n - 144. Give c(p(h)).\nAnswer: 8*h - 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v + 4. Let t(x) = -3 + 30*x - 40*x + 6*x. Give 3*o(m) + 4*t(m).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-2)\/(-6) - 608\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 338 - 337. What is the second smallest value in 8\/5, 3, f, 4?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y. Suppose -56*v + 18 = -54*v. Let u(j) = -8 - 2*j + 9 + v*j. Let i(l) = 5*d(l) + 2*u(l). Calculate i(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14, 0.1, -1\/3, -4\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 5) + 9 + -3. Suppose 23 = 5*b - 2*v, 0*b - x*b + 15 = -5*v. Let h be 0 - 1 - 1 - 0. Sort h, b, -3.\nAnswer: -3, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 4 + 19. Let k be (4\/i)\/(4\/20). Let q = k - -16. Solve a - 4*a = -q for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-3\/10))**43)**(2\/31) assuming y is positive.\nAnswer: y**(301\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 93, 174, 255, 336?\n\"Answer: 81*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -62, -121, -220, -359?\n\"Answer: -20*l**2 + l - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + 43 - 26) + (3 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*z + 2 = -0, 5*s - 4*z - 6 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**6\/40 - o**5\/30 + o**4\/12 - o**3\/6 + 2*o**2. Let h be g(2). Let s = h + 23. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -176*z**2 + 2975*z + 2921596?\nAnswer: -352*z + 2975","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25508881?\nAnswer: 1597, 15973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1135985 divided by 1\nAnswer: 1135985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 401604 to the power of 1\/2, to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26181803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6972.304 rounded to the nearest ten?\nAnswer: -6970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7600 (b) -0.5 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, -96, 29844?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 1 = -41. Let q(r) = 3*r - 16. Let m be q(z). Solve 17 = -4*g - l, 3*g = g - 4*l + m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -27 and -2364.26.\nAnswer: -2391.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95052 + -43616. Round z to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 2286.\nAnswer: 4\/381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 2:34 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 11*g**3\/6 - g. Let w(s) be the second derivative of -s**4\/6 - 370*s. Determine c(w(z)).\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 432.8045 decades?\nAnswer: 43.28045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1139? (a) -2 (b) -3 (c) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -199\/2040 and 1\/5100.\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37006?\nAnswer: 2, 18503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 10:39 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*k + 126*k + 12 = 0. Sort -1\/11, k, 0 in descending order.\nAnswer: 0, -1\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/129774 and -11\/15.\nAnswer: 648870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 258\/2525 - -181939\/863550. What is the common denominator of y and 47\/11?\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000036719796 rounded to seven dps?\nAnswer: -0.0000367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010111100000 + -1000?\nAnswer: 11010111011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-5))\/(10 + 828\/(-90)). Which is smaller: b or 0.47?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22547265 (base 8) to base 12.\nAnswer: 1785185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5936?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, d: 2, f: 2, e: 1}. What is prob of picking 1 e and 1 d?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 87694 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 6 - 0. Find the second derivative of -7*n**h - n**3 - 9*n + 5*n**5 + 8*n**3 wrt n.\nAnswer: 100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -3*h + 2790. Suppose 3*m = -m + 3*s + h, 0 = 2*m + 4*s - 454. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 13854*m = -13850*m + 55, 38*b + 5*m = 418 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 17*m**6\/120 + 13*m**5\/30 + m**4\/12 + 8711*m**3\/6 + 60*m**2 + 59. Differentiate w(c) wrt c.\nAnswer: 51*c**2 + 52*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 260*a - 431. Is z(6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 - -84. Suppose -30*d = -5*d - 750. Let l = g - d. Solve 0 = l*s + 2*s - 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.13 and -28484.4.\nAnswer: 32187.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (17 - -2)) + 1\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 111267*i*x + 11*i - 960 wrt x.\nAnswer: 111267*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(0 - (-4)\/16). Let b = x + -7. Put -3, b, -2 in ascending order.\nAnswer: -3, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 0*l + 2*l - l + l - 2*l + 2*l + (-6 + 3 + 1)*(2*l - 1 + 1).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 31 + 119 = -5*p, p - k + 34 = 0. Let u be 9 - (-3 + (-228)\/p). Determine h, given that -3\/2 - 9\/2*h - u*h**2 - 9\/4*h**3 - 3\/8*h**4 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4183 divided by -6?\nAnswer: -4183\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1771 and 2530.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 2 (c) -2 (d) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 1.770256567106.\nAnswer: -3.229743432894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 2*r + 2*i = -210, 2*r - 3*i - 73 = 0. Suppose -3*s = -12, 4*s - r = -o - 11. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y**4\/4 + y**2\/2 + 3*y - 1. Let r be c(0). Suppose 4 = -4*l - 5*m + 97, -r*m = -5*l + 70. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 2. Let s(x) = -2*x - 3. Let l be s(-3). Let r be b(l). Solve 0 = u - y - 3, -1 - r = -2*y for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/8 of a microgram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1655*d. Let a(u) = -3*u**2. What is a(k(y))?\nAnswer: -8217075*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4069 - 0.4069. Let s be 32\/42*2\/1. Let q = 6\/7 - s. Put 4, f, q in decreasing order.\nAnswer: 4, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -58223, -58239, -58241, -58229, -58203, -58163, -58109?\n\"Answer: 7*n**2 - 37*n - 58193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (8\/60 - 36716\/(-30)). Let g = -169 - w. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33\/((-198)\/240))\/(100\/80)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q - 47*q + 921 - 184 = 0 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29559\/2 + -14780. Which is the nearest to m? (a) 0.2 (b) 28 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2143, -3011, -3897, -4801?\n\"Answer: -9*v**2 - 841*v - 1293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r\/(r*r*r**(1\/3)))\/r)**38)**29 assuming r is positive.\nAnswer: r**(-1102\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c**(-1\/30)*c*c)*c**(3\/14)*c**(-47)\/c**8 assuming c is positive.\nAnswer: c**(-5749\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**4\/4 + f**3 - f**2\/2 - 3*f - 48. Let s(w) = 31*w**3 + w. Let o be s(1). Suppose 3*m = 12, 4*k - 3*m = 2*m - o. Give u(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -74? (a) -0.13 (b) -4\/3 (c) 4 (d) -2 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 472 = 4*v - 48, -3*v + 4*n + 404 = 0. What is the greatest common divisor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 6. Let o = 3 + -7. Let d = o + 4. Sort y, d, -3\/5 in descending order.\nAnswer: d, -3\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-18 - -9) - ((-3)\/3 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 9*z + 1. Let b = 17 + -6. Let u be y(b). Find the common denominator of (-75)\/70 + (-12)\/u and 19\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 4*r + 3*h = -6, 0 = -2*r - 4*h - 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86669 and 9889?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -223\/21840 and 31\/5928?\nAnswer: 414960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 743*r + 740*r - 30 = 0, -2*w - 21 = 3*r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -124) + (53 - 34 - 53) + 26\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t**2 + 6*t - 31. Let d be i(-3). Suppose 0 = 2*r + 10. Let s = -7 - r. Which is the third biggest value? (a) s (b) -0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 5*w + 5, 5*m - 3*w = 4*m + 3. Solve 4*z + 1 + 11 = m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 500.083 litres to millilitres.\nAnswer: 500083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9}. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 63.672 and -121?\nAnswer: -7704.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21.1 + -20. Let z = u - 1.16. Let g = -44 + 43.6. Which is the third biggest value? (a) g (b) -3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 102*j - 6335. Give u(62).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/9 and 15\/120*94*(-8)\/(-1462)?\nAnswer: 6579","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 996139.\nAnswer: 587, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**2 + 20*v + 6. Let n(d) = -2*d**2 - 7*d - 2. Let c(j) = -4*l(j) - 11*n(j). Let r be c(3). Solve -15 = -r*f + 4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 2*k**2 - 4*k**2)*(k + 0*k + 2*k) - 215850*k**2 + 215850*k**2 + 1361*k**3.\nAnswer: 1355*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27873, 42431, 56989, 71547, 86105?\n\"Answer: 14558*g + 13315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/(-85)*-5 + (-13)\/(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.173410349 to four dps.\nAnswer: 0.1734","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i - 3. Let m(z) = 16*z**2 - 2*z + 4. Let s(c) = 5*c**2 - c + 2. Let k(p) = m(p) - 2*s(p). Give k(o(t)).\nAnswer: 150*t**2 + 180*t + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -16, -2\/13, -1\/10, -1\/4, 7?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l**3 + 6*l**2 - 10*l. Let n(y) = 23*y**3 + 17*y**2 - 29*y. Determine 6*n(h) - 17*q(h).\nAnswer: 2*h**3 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 18418352?\nAnswer: -73673408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/27 in -2, -1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1011 (base 2) to base 6\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2412 and 20?\nAnswer: 12060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 56307, 225549, 507619, 902517, 1410243, 2030797?\n\"Answer: 56414*m**2 - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 t, and 2 e when four letters picked without replacement from jeteeuttteqdute?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from {j: 2, f: 6, a: 3, y: 2, d: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 2\/7, 1\/7, 0.4, -0.3 in decreasing order.\nAnswer: 0.4, 2\/7, 1\/7, -0.3, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 25. What is b(0)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (167328\/(-1660) + 105)*80\/(-3)\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 6*k**2\/7 - 14526*k\/7 + 115824\/7 = 0.\nAnswer: 8, 2413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17, -1\/4, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20059 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oenzn. What is prob of sequence ozn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382457.\nAnswer: 382457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.45 + -2.19. Let t = w + 11.1. Let m = t - -0.34. Put m, 4, 8 in descending order.\nAnswer: 8, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 140*j**3 + 7964*j**2 + 79168*j - 9152 = 0. Calculate j.\nAnswer: -44, -13, 4\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s**2. Let f(i) = i. Let b(y) = 2*y. Let t be b(2). Let x(l) = 0*l - 6*l + t*l + 0*l. Let k(c) = 5*f(c) + 2*x(c). Determine k(d(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3095954, 6191926, 9287898, 12383870, 15479842, 18575814?\nAnswer: 21671786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -189 - 200 - 192*a + 390 + 2*a**2 - 61*a + 4*a**3 to the form f*a + x*a**2 + b + o*a**3 and give f.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1739370 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-94 - -101) + -3 + -2 + 4 + -12 + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*g = 222*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -22*u**3 - 1. Let r be f(-1). Let i = -13 + r. Let h(j) = j**2 - 7*j + 11. Is h(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) -5\/2 (c) -100.8 (d) -1\/8 (e) 9 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3376868 and 22.\nAnswer: 3376868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(-6)*(8 + -10). Sort -1, 0, y.\nAnswer: y, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10916 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*o - 2202 = -1129 for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 7 and 9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.003 and 1.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27621 + -27617. Let y = 8 - 4. Calculate the highest common divisor of b and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2097 - 2073. Sort -3, c, -6, -5 in decreasing order.\nAnswer: c, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -5*b - 6, -4*b - 7 = 5*m + 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.85 + -0.05. Let u = a + 0.85. Let y = -0.43 - u. Round y to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 + s**3 - 6*s**3 + (-2*s + 0*s + s)*(-5*s**2 + 3*s**2 + s**2))*(0*s - 4*s + 3*s).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61387811\/1159080 - -265\/5944. Let y = r + 642\/13. Calculate the common denominator of y and 77\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*h**5 - h**4 - 3*h - 55.\nAnswer: -140*h**3 - 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71043171 and 1137?\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 10 = 7*g. Suppose 4*k - 26 = -5*s, 4*k - g = -3*s + 12. What is the remainder when 51 is divided by 1\/(-2)*-58 - s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55092 is divided by 13773?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvtttrttcuutttvtcu. What is prob of picking 2 u, 1 t, and 1 m?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15710420 rounded to the nearest ten thousand?\nAnswer: 15710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138, -219, -312, -423, -558, -723, -924, -1167?\nAnswer: -1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 351815216 to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4 = 0, 3*n - 57 = -4*j + 81. Calculate the remainder when -123*((-10)\/(-15) - 2) is divided by j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 4*f**2 - 16*f - 24. Let a be h(-6). Let o be -2*(-4 + a + 2). Solve o*r - 5*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-3) - (-8)\/4. Let a(p) = -p**3 - 5*p**2 - p - 3. Let d(m) = m**3 + 6*m**2 + 4. Let c(u) = y*d(u) - 3*a(u). Solve c(x) = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*j - 12. Let y(s) = -s**3 + 9*s**2 + s + 9. Let b be y(j). Let r be b\/(-15) + (-1)\/(-5). What is the biggest value in 4, 0.5, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*d - 25 = -1, n - d - 3 = 0. Suppose n - 14 = -2*s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/7)\/(920\/(-1932))*(-10)\/8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eecc when four letters picked without replacement from {w: 1, y: 4, c: 1, p: 1, e: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 6, f: 4}. What is prob of picking 2 f?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 21 - 39. Find the common denominator of (-657)\/(-6)*(-2)\/p and -2*((-724)\/(-160) + -3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 minutes after 6:20 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-12))\/(4\/(-3)). Let i be (-27)\/(0 - 1) + -3. Let y(c) = c**3 - 25*c**2 + 25*c - 23. Let b be y(i). Which is bigger: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0 - (1 + 3 + 2)) + (171 - 78).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, 5, -146, -0.7 in descending order.\nAnswer: 5, 1, -0.7, -8, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56328?\nAnswer: 2, 3, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/10*(-2785)\/(-1114).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4605*a**3 + 21*a**2 + 29*a + 61. Is f(-2) a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.38 - 0.58. Let m = -162 + 1132\/7. What is the fourth smallest value in -4, m, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 20*n**3 + 2*n**2 - 3*n. Let h(x) = -x**2 + x - 1. Calculate -h(w) - v(w).\nAnswer: -20*w**3 - w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1752 and 305112.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 20*v - 110. Let g be z(32). Let r = -272 + g. Let j = -91 - -635\/7. Which is the second biggest value? (a) r (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/37079 - 1446121\/741580. Calculate the common denominator of 6\/15 + (-149)\/10 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 - v + 3. Suppose 0 = 5*p - 4*h - 17, 4*h - 35 = -5*p - h. Let s be b(p). Calculate the highest common factor of s and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111 (base 2) in base 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -27*t - 11. Let f be q(-3). What is the derivative of f - 5 - 9 + 5*k**3 wrt k?\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -214*j - 8. What are the prime factors of z(-2)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a centimeter in micrometers?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 6. Suppose -3*y = -2*q + 4, 4*y + 14 = 323*q - 316*q. Solve b*h + 4*u - 10 - 10 = 0, y = -3*h - 2*u + 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9 - 2434.8.\nAnswer: -2433.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/68 and -61\/20.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -l - 4*l. Let x(f) = 34*f**2 - 2*f - 4. Let u be x(l). Suppose -4*t = -0*t - u. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oq when two letters picked without replacement from qqqnqqqoqqnooonno.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) - -2*sqrt(130)) + sqrt(130))\/sqrt(10) - 5*-3*sqrt(13))**2 - (1*sqrt(26)\/sqrt(2) + sqrt(13) + sqrt(39)\/(sqrt(3)*-3))**2.\nAnswer: 41912\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 280 - 0.02.\nAnswer: 279.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 104*i - 2175 + 1239 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20022 + -1?\nAnswer: -20100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.99 + 0.49. Sort -3, o, -1, -2\/15.\nAnswer: -3, -1, o, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6\/17)\/z)\/(z*(z*z*z**(5\/2)\/z)\/z) assuming z is positive.\nAnswer: z**(-165\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4 + 29*f - 68*f + 41*f + 19. Let m(p) = -5*p - 44. Determine -17*a(u) - 6*m(u).\nAnswer: -4*u + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2296 and 16072.\nAnswer: 16072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 58.851 and 41833.\nAnswer: 41891.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20466, 87786, 201956, 362976, 570846, 825566, 1127136?\nAnswer: 1475556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 - 42*j + 23. What is a(14)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6197*z**2 - 7812505 + 7812505.\nAnswer: 6197*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o**3\/o))*o**(1\/6)\/o*o*o)**(1\/30))**47 assuming o is positive.\nAnswer: o**(893\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 greater than 494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + -2*(sqrt(78) + (sqrt(78)*2 - sqrt(78))))\/(2*sqrt(6)*1).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1, 330, 1 in decreasing order.\nAnswer: 330, 11, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 13*y**2 - 5*y - 12. Let k(w) = 28*w**2 - 11*w - 26. Let u(j) = -13*h(j) + 6*k(j). Let s(o) = 4*o**2 + 4*o - 5. What is -s(t) - 2*u(t)?\nAnswer: -2*t**2 - 2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 8043*n**2 - 8066*n**2 - 10*n - 21*n as t*n**2 + j + l*n and give l.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*k - 36*k - 11850. Which is smaller: k or -788?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -67. What is the highest common factor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -29309, -117219, -263735, -468857, -732585, -1054919?\n\"Answer: -29303*q**2 - q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-9))\/(2*6\/(-2)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-3))\/(-2)*(45 + -57). Solve -32 = c*f + 32 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(4) - sqrt(12)\/(sqrt(18)\/sqrt(6)))\/sqrt(2))**2 + 3 + (-2 + sqrt(242))*-5.\nAnswer: -55*sqrt(2) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -14*v - 87. What is the remainder when y(-16) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 13, -2, 50 in decreasing order.\nAnswer: 50, 13, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/4, -4, 1\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77 - 8. Is k*(4 + -1 + -2) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, q: 3, e: 2, f: 4}. What is prob of picking 1 e and 3 q?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -4, -12, 4, 1671, -2 in descending order.\nAnswer: 1671, 29, 4, -2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*o + o - n, -o - 3*n - 3 = 0. Find the third derivative of 4*d**o - 5*d**6 + 0*d**6 + 2*d**2 wrt d.\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 46 = -2*g + 2*c, 3*g + 3*c - 48 = 0. Calculate the remainder when 267 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, v: 1, f: 4, u: 8}. What is prob of picking 2 f and 1 d?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 446895459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23202*l + 2 - 12 + 10 + 0.\nAnswer: -23202*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 6 + 3)*(1 + 1 + 0) - 52 + 23 - 17)*(-3*y + 2*y - y)*(-8 + 3 + 1) as g*y + l and give g.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.1 + 19.2. Let g = -5.1 + n. Put -3\/4, -1.1, 1, g in decreasing order.\nAnswer: g, 1, -3\/4, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6697.257 milligrams to tonnes.\nAnswer: 0.000006697257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 13*c + 11. Let p(w) = w**2 + 3*w - 6. Let k be p(-6). Let m be q(k). List the prime factors of -6*3*m\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjpjpppjjjjj. Give prob of picking 3 j and 1 p.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*b - 713*b + 8 - 242*b - 1.\nAnswer: -851*b + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 248 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3881755 - 3*x**3 + x**2 - 3881757 - 3*x + 2*x**4 - 3*x**4 to p*x + i*x**2 + d + y*x**4 + g*x**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 2017845?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*t**4\/7 + 21516*t**3\/7 - 1025*t**2 + 598*t\/7.\nAnswer: t*(t + 598)*(6*t - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -i + 1. Suppose 3*a - 60 = -i*w, 5*a - 32 = 5*w - 92. Suppose 2*v - 3*v = 3, -3*n - 2*v = -w. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 1601 in decreasing order.\nAnswer: 1601, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -239 + 240. Put -4, 4, w, -5 in decreasing order.\nAnswer: 4, w, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 r when two letters picked without replacement from {x: 2, w: 4, r: 7, l: 2, y: 3}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/41)\/x)\/(x*(x\/x**(-4\/19))\/x) assuming x is positive.\nAnswer: x**(-1684\/779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 149221047655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -29\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 11100100000001111?\nAnswer: 11100100000010100","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: 2, a: 1, p: 1, z: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3691 is divided by 1796.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + 0)\/((-15)\/(-750)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 5*u**2 + 3*u. Let z be v(-2). Solve -z*i + 2*i = 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38666a (base 11) in base 6?\nAnswer: -21015433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*p**2\/7 + 394*p\/7 + 132\/7 = 0. Calculate p.\nAnswer: -1\/3, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 906 + -901. What is the second smallest value in o, 6\/199, -0.4?\nAnswer: 6\/199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i**2 + 155*i - 139*i - 29*i - 182*i.\nAnswer: -9*i**2 - 195*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -720 or -9348\/13?\nAnswer: -720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 296 (b) 5 (c) 33 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 4*s**2 + 3*s**2)*((2 + s**3 - 2)*(-1 + 0 - 1) - 88*s + 88*s + 17*s**3) + (-s**3 + 0 + 0)*(3 - 3 - s**2).\nAnswer: 91*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -15*b - 2016. Let w = -184 - b. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4115397 = -13354*b - 17928*b + 2503*b for b.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 698 a factor of 753010078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 8*l**2 - l + 20. Let n be i(8). Solve -3*w - 40 + 17 = 2*z, 0 = -4*w + 2*z - n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 249215821 to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1214638, -2429259, -3643880?\nAnswer: -4858501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 + 15*c**2 + 7*c + 4. List the prime factors of s(7).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5772, -11503, -17186, -22827, -28432, -34007, -39558, -45091?\n\"Answer: -i**3 + 30*i**2 - 5814*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4408 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3502395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 6, -1082, -1, 31 in increasing order.\nAnswer: -1082, -1, 6, 12, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2)*(6*i + 529 - 529) to the form t + n*i and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 101567 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -52620 divided by -26310\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 1996*y**5\/5 + 2690*y**2 - 241. Find the second derivative of n(l) wrt l.\nAnswer: 23952*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 10*n**2 + 7*n + 10. Let v be m(-10). Let q = v - -42. Let i be (3 - 0)*(-30)\/q. Solve i*k - k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (1 - 1) - (15 + -17)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/5 + 12026*z\/5 - 237068.\nAnswer: 2*(z - 97)*(z + 6110)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q + 36*q**2 - 3 + 28*q**2 - 67*q**2 to the form l*q**2 + j*q + p and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113067 is divided by 382.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17221857.\nAnswer: 3, 5740619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**3\/6 + 2*y - 31. Let u(j) = 3*j**2 + 16*j. Determine r(u(m)).\nAnswer: -3*m**2 - 16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1814822.44 to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16304 + 16307. What is the third smallest value in v, -15, 2, 11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 248660 + -3.15\nAnswer: 248656.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7233*c + 7232*c + 9 = -9*l, -6*c + 4*l = -4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1881\/1596*(83 - 111)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42305 is divided by 2211?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**4\/5 - 12*t**2\/5 + 8*t\/5 = 0. What is t?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -14*s - 124. Give u(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2218, 2226, 2234, 2242, 2250, 2258?\nAnswer: 2266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 - 2*b**2 - 4*b - 1. Suppose 0 = o - u + 2, 2*u + 10 = -4*o - 4. What is the tens digit of f(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 4:15 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (-2*(sqrt(77) - -1*sqrt(77)) + sqrt(77)))\/(-2*sqrt(99)).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 35140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/(-4) - -1)\/(261\/1218). Let b be (-14)\/(-3)*(246\/p - 4). Solve u + 4*y = -20, 4*u + 8*y = 3*y - b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 77, 245, 573, 1115, 1925, 3057, 4565?\nAnswer: 6503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 2*h - 20 = 0, -h - 488 + 468 = 7*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-6))\/1)\/(60\/180)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 72*f**3 - f + 1. Let d be m(1). Let w = d + -37. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 190 * 0.05115\nAnswer: 9.7185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 203*f**4\/24 + 13*f**2 + 17. Let n(t) = 2*t. What is o(n(j))?\nAnswer: 406*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/85 smaller than 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**3 - 85395*x**2 - 13 + x**3 + 85411*x**2 - 11 + 3 - 27*x. Calculate w(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11969?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3223200 (base 4) to base 7.\nAnswer: -61641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 71?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + 122*r + 1216. Calculate n(-9).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7 - 0.553?\nAnswer: 3.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.3. Let n = 14 - -16. Suppose 0 = 4*p - 5*o + 9, -8*p + 3*p + n = 2*o. Which is the nearest to d? (a) -1 (b) p (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-3\/2)))**33\/((b*b**(2\/7)\/b)\/b*b**(-1\/10)) assuming b is positive.\nAnswer: b**(1761\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 14) to base 9.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 463 - 483 - (2 + -37)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 0.1, 5, -1.9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2. Let q be d(-1). Suppose 5*a + 40 + 9 = 4*f, q*f - 4*a - 32 = 0. Find the third derivative of 4*k**2 - 25*k**2 + 7*k**2 + 7*k**f wrt k.\nAnswer: 840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 1. Let t(b) = -b - 1. Let c(u) = -5*u - 7. Let w(a) = c(a) - 6*t(a). What is 4*g(k) + 5*w(k)?\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -24007800 divided by -160052\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**6\/480 + y**5\/240 + 5*y**4\/96 + y**3\/8 - 11*y**2. Factor c(w).\nAnswer: -(w - 3)*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffksjbzbkbbbbkzz. Give prob of picking 2 z.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -8*b**3 + 4*b**2 + 4*b. Let n(v) = -17*v - 15*v + v**2 + 43*v - 10*v. Calculate -4*n(s) + x(s).\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i. Let o(w) = -49597270*w**2. Determine z(o(x)).\nAnswer: 198389080*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 248802 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12 - -10)*(-1 + 2410\/(-4)). Let a(q) = 34*q**2 - 100*q + 11. Let b be a(3). Calculate the highest common factor of b and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -14. Let o(s) = -s**2 + 59230*s**3 + 1 - 59228*s**3 - 3*s**2. Is o(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1 = 5*r, 4*j - 5*r = 8 + 19. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.43 - 0.43. Let q = y - 4.8. Round q to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times 2\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1806 less than 1566996997?\nAnswer: 1566996997.1806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64 (base 11) to base 14.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z - 40 = -37*z. Solve -t = -l, -z*l = -6*l + 5*t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473000 is divided by 58858.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66.2209 - -0.5311. Let b = v - 67. Round b to 2 decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -363*q**3 + 2044548*q**2 - 743436*q + 67584 = 0.\nAnswer: 2\/11, 5632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56742062 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 0 - 2*u)*(-123*u**3 - 23*u**3 - 2*u**3).\nAnswer: 296*u**4 + 740*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -262, -43, 324, 839, 1502?\n\"Answer: 74*r**2 - 3*r - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3\/8 + 1761*o**2\/8 - 38235*o\/8 - 39997\/8 = 0. Calculate o.\nAnswer: -1, 23, 1739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1713317 (base 8) to base 4.\nAnswer: 1321123033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 6*f - 5*f)*(2*f - 5*f + f) + 5*f**2 + 0*f**2 - 4*f**2 - f**2 - 1 + 1 + 65 - 65 - 39*f**2.\nAnswer: -41*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*w**4 - 9*w**4 + 2*w - 9*w wrt w.\nAnswer: 156*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2737700 to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1364*g*i**3 - 3*g*i**2 - 7*g*i - 67*i**3 - 2*i**2 + 204963*i + 2 wrt i?\nAnswer: -8184*g*i - 6*g - 402*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v + 6*v**3 + 0*v + 9*v.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16716 and 31658711.\nAnswer: 1393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 3, 5*x + 136 - 118 = 3*r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 4:46 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -12*w - 306. Let j = 90 + w. What is the tens digit of (1 - -1)\/(j\/(-480))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/3 and (-42)\/9*8\/28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9 + 7)\/(-2 - -5))\/(-1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1058 and 11015114?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 - -66.8. Suppose -1 = -d, -2*j - d = -4*d - 25. Let l be -2*(j\/(-16))\/7. Which is greater: l or z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**6\/180 - h**5\/30 - h**4\/12 - h**3\/6 + 3*h. Let v(w) be the second derivative of r(w). Factor v(s).\nAnswer: -2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z = 9. What is the units digit of ((-6)\/(-9))\/((-1)\/z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -340.563 times -8?\nAnswer: 2724.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sj when two letters picked without replacement from {j: 2, x: 1, l: 1, s: 2, b: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 488.478 seconds in milliseconds?\nAnswer: 488478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*f**3 - 40*f**3 - 17*f**3 + 4*f - 4*f.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 628 and 471?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 433 (b) -4 (c) 5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2714634538 to the power of 1\/4, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/902 and -65\/16.\nAnswer: 7216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 5 (b) 4 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13e (base 16) to base 4.\nAnswer: 10332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2)*-1*-6. Let p(j) = 26 + 4*j**2 + 0*j**2 - 7*j**n - 41 + 19. Let v(c) = 15*c**3 - 9*c**2 - 9. Calculate -9*p(o) - 4*v(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 80*x + 76.\nAnswer: 4*(x - 19)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 4. Let o = q - -2. Suppose -r = -o - 21. What is the remainder when r is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 98, 146, 194?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/15, -4\/5, 23\/11, 2\/7, 0.12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -427, -550, -673, -796?\nAnswer: -919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*v - 122 - 95 = 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and -242788.54.\nAnswer: -14567.3124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3.309 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x + 4*x + 2*x + 0 - 2*x + 0 + (-2*x - x + x)*(2 + 0 - 1) + 8 - 90 + 1762*x + 82.\nAnswer: 1760*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, t: 8, h: 4}. What is prob of picking 1 h and 1 t?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*y**3 - 5995*y**2 + 107200*y + 10780 = 0.\nAnswer: -1\/10, 22, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -376. Is 25 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + (1 - 25) + (180 - 169)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*k**2 + 9 + 11 - 17)*(-24 + 24 + 5*k).\nAnswer: 65*k**3 + 15*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112\/2)\/7 + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5 + 1 = -f, -5*n - 3*f - 17 = 0. Let a be n*(2 + -5)*1. Solve -a = y - 7 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n - 22 = 0. Calculate the least common multiple of n and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 203.702\nAnswer: -203.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 + -869?\nAnswer: -860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5000 and 624.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 4:26 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00229602041 to 6 decimal places.\nAnswer: 0.002296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a\/(a*a**(-1\/2))*a))*a*a)**(-47)\/(a**1)**(-1\/27) assuming a is positive.\nAnswer: a**(-11419\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-7)\/(-238))\/(3\/(-6))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90 + -85. Suppose 3*v + j*a - 920 = 0, 5*v - a = 581 + 943. 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 252181 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: Is (4 - (10 + -4))*-3203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 10*p**2 + 2*p - 1. Suppose 101 = -15*o - 49. Calculate d(o).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*((sqrt(833) + 0 + sqrt(833) + -3 - (sqrt(833)*2*2 + sqrt(833)))*5 + 0 + (sqrt(833) + (1 + sqrt(833))*-1 - (sqrt(833) + -1 + -4)))**2.\nAnswer: 14784*sqrt(17) + 1280214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 2. Calculate the lowest common multiple of (g + 5 - -1)*4 and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -0.077.\nAnswer: 0.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -647*y**2 + 172*y**2 + 471*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -23*u - 1. Calculate f(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 425 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -180, 6404, 4, 2.3?\nAnswer: 6404","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p + 1 + 2 - 4*p - p**3. Let i(z) = -z**3 - 6*z**2 - 5*z. Suppose -4*r - 5 = -3*r. Let x be i(r). Give g(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297157183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 420*j**2 + 2*j + 1. Is h(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 5*w**2 - 4*w - 1. Suppose -4 = -4*b - 4*v - 16, 4*v + 17 = -5*b. Let p = b + 1. Let j = p - -8. What is g(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 >= -788?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x**17*x)))\/(x*(x*x**(-2\/33)\/x)\/x*x))\/(x**(4\/15))**(-21) assuming x is positive.\nAnswer: x**(3739\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + n**2 + n + 4. Let l be r(0). Suppose b + l = m - 0*b, b + 2 = 0. Calculate the smallest common multiple of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48896377 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 g(l) = -3*l**2 - 11*l + 482. Give g(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 2 - 1\/2*f**4 + 3\/2*f**3 + 5*f**2 + f - 1\/20*f**5. Calculate x(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)\/o**(-2\/17))**10*(((o*o\/(o\/(o\/((o*(o**(-1\/5)*o*o)\/o)\/o))))\/o)**(1\/39))**(1\/42) assuming o is positive.\nAnswer: o**(-9582283\/139230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92494, 370124, 832832, 1480612, 2313458, 3331364?\nAnswer: 4534324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 345053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1883348?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/4*s**2 - 33\/2*s.\nAnswer: s*(s - 66)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1079956 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (297\/(-198))\/((-81)\/(-4))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24c (base 14) to base 15\nAnswer: -20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -46*u**2 + 28*u - 5. Let z(x) = -45*x**2 + 29*x - 4. Let s(m) = -4*k(m) + 5*z(m). What is the second derivative of s(b) wrt b?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwdwww. What is prob of sequence ww?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32505*h**2*j*q + h**2*j - 2*h**2*q + 64*h**2 - 2*h*q + 271*j*q + 17175*j wrt h.\nAnswer: -65010*j*q + 2*j - 4*q + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 445\/6 or 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -92556)\/(120\/16)*5. Suppose -4*i + u = 13772. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*q**2 - 4*q**4 + 2*q**3 - 32*q**2 + 2*q**4 + (-2 + 2 - q**2)*(3*q**2 - q**2 + 0*q**2) to s*q**3 + o + z*q**4 + a*q**2 + f*q and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18131480 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/(-10) - (-15)\/((-450)\/24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 9:58 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 123257046 a multiple of 5680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 17439 and 17442 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.37 - 2.37. Is 3 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**4 - v**3 + 2*v**3 - 2*v**2 + v**4)*(-4 - v + 4 - 1 + 1 + 2*v + 4 - v - 4 + (-3*v + 2*v + 3*v)*(3 + 2 - 6) + (-6 + 1 - 1)*(-2*v - 150 + 150)).\nAnswer: -20*v**5 + 10*v**4 - 20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 356, 1399, 3132, 5549, 8644, 12411, 16844, 21937?\nAnswer: 27684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 14481.2863 to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -32. Let u be 10\/(-2)*(-4 - t). Suppose -5 + 70 = u*q. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -15*u + 1. Let p be (-12)\/10 - (-2)\/10. Let d be n(p). Let x = -4 + d. Solve 3*c - x = -a, 9 = a + 2*c - 0*c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3234, 60, 2 in increasing order.\nAnswer: -3234, 2, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 24 = 5*j. Suppose 42*i - 7 = 35*i. Put j, 4, i in increasing order.\nAnswer: j, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29275588?\nAnswer: 2, 113, 239, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 + 25*d**2 + 3*d + 201. Determine u(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14539.298 rounded to the nearest one hundred?\nAnswer: -14500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 125*h + 1. Let u be i(-4). Let v = u + 594. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 72\/(-15) - (-10)\/2*1. What is the second biggest value in s, -4, 0.061?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 6*w. Let f(s) = 43*s**2 + 2*s. Determine f(x(d)).\nAnswer: 1548*d**2 + 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 361 + -356. Suppose v*x = -3*y + 30, -11*x + 7*x + 4*y + 24 = 0. Solve -l - x*l = 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 10*o - 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*m + 5*m + 12*m - 1 as l + a*m and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -137\/48 and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*s + 2*s = -381, -5*f = 4*s - 1975. Which is bigger: f or 390?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -206313849*x**3 - x**2 + 333*x - 381339 wrt x?\nAnswer: -1237883094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 4:03 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -67747840 to the nearest 100000.\nAnswer: -67700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 at most 2254\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 979 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.31 + 3.69. Let t = -0.2 - 0. What is the nearest to -0.1 in t, s, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -147620093*b - 74595349 wrt b.\nAnswer: -147620093","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s + 30 = 0. Let n(l) = 7*l**3 - 78*l**2 + 9*l + 24. Let a be n(11). Solve a*i - s = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l = -2*h + 12*l - 5, -5*h = -2*l + 10. Solve 16*u - 19*u = h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*w = 46*w - 15. Let t(j) = 48*j - 32. Let k(d) = -49*d + 31. Let n(z) = w*t(z) - 4*k(z). Differentiate n(l) with respect to l.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - (((sqrt(66)*2 - sqrt(66) - sqrt(66)) + sqrt(66))*2 - sqrt(66)) - sqrt(66))\/sqrt(486) - (-1 + 1 + sqrt(1100) + -1)**2.\nAnswer: -1101 + 179*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2*sqrt(539)*3 - sqrt(539))**2 - sqrt(539)) + sqrt(539) + 2 + (-5 + sqrt(539))**2 + 0.\nAnswer: -70*sqrt(11) + 14042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 8*y**3 - 6*y**2 - 4*y - 2. Let g(t) = t**3 - t**2. Calculate -6*g(q) + h(q).\nAnswer: 2*q**3 - 4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -261 - -173.215. Let g = 0.215 - p. Which is the closest to g? (a) 3 (b) -2 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-8)*(-8)\/(-1). Let k be (-63)\/w*(6 - 10). Let s be (-2)\/((-7)\/(k\/6)). Which is bigger: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21842277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*m**4\/9 + 265*m**3\/3 + 950*m**2 + 21875*m\/9.\nAnswer: -m*(m + 5)**2*(8*m - 875)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - y + 2*y)*(2 - 3 + 4)*(7*y - y - 5*y) + y**2 + y - y.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -60*c + 6110. Let q be v(102). Let j be (-4)\/(-14) - (-134884)\/70. Let g = 1917 - j. Is q <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 16. Suppose 48*y - 182 = 46*y. Let m be 156\/y - 4\/(-14). Solve m*x + t = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4\/9 - 34*s**3\/9 - 190*s**2\/9 - 350*s\/9.\nAnswer: -2*s*(s + 5)**2*(s + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -208, -416, -626, -838, -1052, -1268?\n\"Answer: -x**2 - 205*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hgwmhzwhgzmwmgmmzh. Give prob of picking 1 z, 1 h, and 1 g.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g*i*k + g*i*m**2 + 11*g*k**3*m**2 - 2*i*k**3*m**2 + 2*k**3*m + 12*k**2*m**2 + k**2 wrt g?\nAnswer: 2*i*k + i*m**2 + 11*k**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15876 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583458 is divided by 1057.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50047\/7 or -7150?\nAnswer: -50047\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24515 (base 9) to base 4.\nAnswer: 10001021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - 26. Let v be (q - (-4 - -1))\/(-2). Let h be (2\/6)\/((-13)\/(-273))*3. What is the greatest common divisor of h and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.58 + 6.3. Let s = 1.054 + z. What is s rounded to 2 dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(1\/3))**43 assuming c is positive.\nAnswer: c**(86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.3 + 9. Put 2\/7, 1\/4, z in increasing order.\nAnswer: z, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 3317872*x**2 - 1376117269098*x + 68797569024900.\nAnswer: -2*(x - 829443)**2*(x - 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**5 + 8033*j**4 + 15432561*j**3 - 2838191373*j**2 + 8375464098*j = 0.\nAnswer: -4101, 0, 3, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 1:08 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 381783?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r. Let i(x) = -255*x. What is p(i(k))?\nAnswer: 255*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from {f: 1, x: 1, e: 1, v: 1, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*12\/9*-3. Suppose 27 - 17 = -5*p. What is the lowest common multiple of (-225)\/(-10) - p\/l and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41604401 to the power of 1\/2, to the nearest integer?\nAnswer: 6450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w = -12*w + 25. Which is smaller: -24 or w?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/114955590 and 47\/68973354.\nAnswer: 344866770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -15*x + 361952 + 480428. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1*1*(-5)\/(-15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -1)*3*((-6448)\/312)\/(-62). Suppose -9\/7*i**m + 36\/7 + 12\/7*i - 3\/7*i**3 = 0. Calculate i.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - -216 - 234)*3\/16\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 127713595*v**3 - 22*v**2 + 76*v - 6870?\nAnswer: 766281570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3001879651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.356412076 to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 6*q + 5. Let t be j(-5). Let c be -1 + t + 10\/2. What is the first derivative of 3*i**4 + c - 5 - 4*i**4 wrt i?\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -23*r - 124. Let v be n(-6). Let q(g) = 82*g + 17*g - 100*g + v*g + 128*g. Let p(d) = 2*d**2. Determine p(q(f)).\nAnswer: 39762*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -379, -1619, -3685, -6577?\nAnswer: -10295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - l - 19 = -6*l, 3*l - 8 = -4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1310*b - 2130 = 1239*b for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1098*i**4 - 32346*i**3 + 68834621 wrt i.\nAnswer: 4392*i**3 - 97038*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1364744, -2729511, -4094270, -5459021?\nAnswer: -6823764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 123817004*z**4 + 11283*z + 233 wrt z.\nAnswer: 1485804048*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 187*g**3\/3 + 844*g**2 - 1657. What is the second derivative of x(z) wrt z?\nAnswer: 374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -24542443 (b) 1 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*n + 10, 5 = v + 3*n + 15. Let t be ((-8)\/v)\/(6 - 4). Are t and 1\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6994924 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -111011011010 (base 2) in base 14?\nAnswer: -1558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 667*g + 1372*g + 774*g to the form d*g + p and give d.\nAnswer: 2813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, n: 5}. Give prob of sequence bbb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 - (-11 - -31)) + -40?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/38870 and 53\/1040520.\nAnswer: 13526760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.307 - 0.437. Let h = k + -3.7. Let x = 0.1700008 - h. What is x rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 38 = 5*i, 110 = -4*q - 24961*i + 24968*i for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**3 - 15*j**2 + 117*j - 185. Determine u(2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2096965, -2096966, -2096967, -2096968, -2096969, -2096970?\n\"Answer: -f - 2096964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**3*g)\/(g**(2\/25)\/g))\/(g\/(g\/((g*g*g\/((g**(-2\/17)\/g)\/g*g*g))\/g))*g*g**8*g) assuming g is positive.\nAnswer: g**(-5184\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x. Let h(m) = 3*m - 3*m - 4*m. What is h(z(r))?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -2. Let v = -0.202 - -5.202. Is p >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 12 - 8. Factor 36 - 12 - 8*i**2 + 15*i**3 - 3*i**d + 69*i - 11*i**2 + 82*i**2.\nAnswer: -3*(i - 8)*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 444?\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 531 and 17974291.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10111 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 807 - 111. Suppose -3*o - a + 505 + i = 0, -5*o + 4*a + 2030 = 0. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -u - 30, -2*u = 3*d + u. Let x be 44\/10*d\/(-1). Let w = x + 55. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + -2 - (-91)\/5)*5\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3056, 3036, 3016, 2996, 2976?\n\"Answer: -20*h + 3076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - -7)\/(4\/6). Suppose 0 = -2*z + k + 3. Suppose 4*j = -0*a - z*a - 4, 5*a + 5*j + 15 = 0. Is a at most as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 240 + -156. Let h = -84.1 + w. Which is the nearest to h? (a) 1 (b) 4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14)\/(-3) - 8)*3\/(-2). Solve -4 + 24 = -x*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 + 5*u + 1. Let t(p) = -4*p**2 - 11*p - 1. Calculate 9*g(a) + 4*t(a).\nAnswer: 2*a**2 + a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35647 - 35647 - 123*h**2.\nAnswer: -123*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4293 is divided by 230?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 2*h**7\/35 - h**5\/12 + 17*h**2. Find the third derivative of d(p) wrt p.\nAnswer: 288*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2183812*u**3 + 9666*u - 171.\nAnswer: -13102872*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 644 + 38*w**3 - 644 + (0*w**2 - 5*w**2 - 6*w**2)*(2*w - 3*w + 3*w).\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -p - 4*f, -2*p - f - f = 2. Let r be (p\/(-6))\/(1\/(-4)). Let n(g) = -g**3 + 1. Let x be n(r). Solve -4*s = -s - x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 12 = -0*s. Let i be s\/(-2) + 3 - -1. Suppose 4*t = 2*t + 12. Solve i*w = 2*n + t, 4*w - 10 = 2*n - 0*n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10902 is divided by 9452?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/10)*a**8*(a*(a\/((a**(-8)*a)\/a))\/a)\/((a*a*a**(-3\/5)*a)\/a*a))**43 assuming a is positive.\nAnswer: a**(6321\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/11 in 2\/5, -45, -8, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -94*u + 481. Let i be s(5). What is the highest common factor of i and 7821?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69*50.252.\nAnswer: 3467.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11803*i**2 - 3603*i**2 - 4034*i**2 - 4146*i**2.\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 + 6)*(-4 + 4 + 1) + 18 + 3 - 6)*(-5*x**2 + 5*x**2 + x**2).\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4491 + 4537. Calculate the least common multiple of j and 20.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - r - 1)*(-1 + 1 - 1)*(-4*r + 5*r + r) + 17*r + 8*r**2 - 17*r.\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + -2)*-1 - -5 - -1. Factor -2\/7*i**3 + 0 - 2\/7*i**2 + 2\/7*i**w + 2\/7*i.\nAnswer: 2*i*(i - 1)**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02384 - 0.27616. What is the closest to 2\/83 in y, 2, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/12 - (-1106)\/84. Let k(u) = -u**3 + 12*u**2 + 17*u - 17. Let o be k(b). What is the highest common factor of o and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/11 - ((-6214235234991)\/(-2376) - 4). Let o = t - -2615338838. Let w = 80026 + o. What is the common denominator of w and 35\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**2 - k. Let a be r(-1). Let y = -8 + 8. Let l = a + y. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + b - 1. Let y(i) = 7*i**2 - 4*i + 5. Suppose -x = -0 - 1. Let n = -3958 - -3962. What is n*a(d) + x*y(d)?\nAnswer: 3*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56871, -56884, -56907, -56940, -56983, -57036, -57099?\nAnswer: -57172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/9 - (-77)\/21. Let v be (-5337)\/(-135) + o\/30. Let p = -40 + v. Which is smaller: 0.21 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -48*a + 427. Determine k(11).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x = 3 + 87 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/3 - 10*x**2\/3 + 8*x\/3.\nAnswer: 2*x*(x - 4)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58)\/(-6) + (-92)\/138.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4618544*c**4*k + 2*c*k + c + 19*k - 1400 wrt c?\nAnswer: 55422528*c**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 + (10 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 3*d + 15, o + o - 15 = 3*d. Suppose 9*z = -44 - 280. Does 2 divide ((-2)\/4)\/(o\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237234 = -40*c + 37*c + y, 3*c - 3*y + 237222 = 0. What is c rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.844204 plus 1?\nAnswer: -72.844204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 8:45 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times -2329\nAnswer: 139.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 804, 802, 800, 798, 796?\n\"Answer: -2*d + 806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33215 and 173771?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12431.00043278 + -12431. Round a to six decimal places.\nAnswer: 0.000433","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 42*w - 68 + 185 = 0, 30 = 5*f - 5*w for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*g + 11 = 2*u, 3*g - 17 = -4*u. Solve -u*q + w - 24 = 0, q + 2 = w + 2*w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -45 + 2*v**2 + 22 + 22. List the prime factors of a(-4).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*f**2*g*o**2 + 1181*f**2*o**6 - 3*f**2*o**2 - 2*f*g*o**4 + 2*f*g wrt o?\nAnswer: 141720*f**2*o**3 - 48*f*g*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7154 equal to -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 45*n**3 + 2*n**2 - n - 29. Let l(i) = 11*i - 239. Let t be l(22). Is m(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -29. Which is the closest to q? (a) 2\/17 (b) -1\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a - 6. Let r = a + 10. Solve -r*w - 2 = 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4*4 - 85\/(-17). Let r(s) = 7 - 2*s + 3 + m + 15 + 0*s. Let z(p) = 2*p. Determine r(z(d)).\nAnswer: -4*d + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 123009187?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173163 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -56*i + 505. Let v be d(9). Solve -3*x + 2*t = -0*x + v, x = -4*t - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 265901 and 3662671.\nAnswer: 1537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/5, -0.1, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -220 + 216.7. Let j = q + 0.3. Is 0.051 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106344, -212687, -319030?\nAnswer: -425373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.6 - 3.6. Sort 2\/7, 2, l in descending order.\nAnswer: 2, 2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**5\/20 - 2*v**3\/3 + v. Let z(q) = q**3 + 5*q. Let w(j) = -1 - 16*j + 14*j + 4. Let b be w(4). Give b*y(t) - 4*z(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3*p**3 + 9*p**4 + 7*p - 5*p - 8*p**4 to the form b*p**2 + n*p + c*p**3 + u*p**4 + d and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -40*0.0427393\nAnswer: -1.709572","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 2 + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**3 + 5*y**2 + y - 4. Let f(j) = -j**3 - j. Let m(i) = 3*f(i) + h(i). Give m(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.696612 micrograms to nanograms.\nAnswer: 9696.612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 136555380*d**2 + 37261380*d + 2541845.\nAnswer: 5*(5226*d + 713)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -326*s**2*x**3 - 6*s**2*x**2 - 7*s**2 + 12*s*x + 174*x**3 - 3*x - 1 wrt s.\nAnswer: -652*x**3 - 12*x**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 322901553833\nAnswer: -322901553838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 6*j**2 - 4. Calculate k(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 847961 and 75.\nAnswer: 63597075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*(o**(-1\/2)\/o)\/o)\/o*o**(5\/3)*(o*o**2)**(7\/6)*(((o**(-3\/8)\/o)\/o)\/o**8)\/((o*o**(4\/5)\/o*o)\/((o*o**(-4))\/o)) assuming o is positive.\nAnswer: o**(-1501\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3*n**2 - 6013*a**3*n - a**3 + 2*a**2*n**2 - 9*a**2*n + 7*a*n + 3*n + 23 wrt a.\nAnswer: 12*n**2 - 36078*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2746 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19475 + -12574. What are the prime factors of k?\nAnswer: 67, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x. Let u(p) = 1854*p + 32. Let b(s) = 9270*s + 176. Let y(h) = -2*b(h) + 11*u(h). What is y(o(j))?\nAnswer: -1854*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(28) - sqrt(252)\/sqrt(4)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/3 + (-1 + -1)\/2. Suppose -2*o + 4*j + 8 = 0, v*j + 10 = 3*o - 0*o. Suppose -5*a = -o*a - 60. Calculate the remainder when 37 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**4\/24 - j**3\/6 + j**2. Let u be p(3). Let z(k) = -1 + 3*k - k**3 - 3*k**2 - k + k. Give z(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2\/9 - 734212*o\/9 + 67383407618\/9 = 0.\nAnswer: 183553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -f + 31, 7*y = -4*f + 6*y + 124. Suppose -8 = -b, -82*b + 85*b = 3*o - 258. Let r(d) = f*d + d**2 + 27*d + 31*d - o*d. Determine r(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**4 + 6460*l**3 + 5235744*l**2 + 31079360*l - 83153408 = 0. What is l?\nAnswer: -1612, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3823 + 3831. Solve 0 = 3*h - 12, 3*c - 8*c - i = 3*h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 35*z**2 + 59*z + 522. Determine t(37).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.5, 0.3, -0.1, 0.7414?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*x - 11. Suppose 19*g + 13*g + 34 = 49*g. Solve x*c = g*c - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11716613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -208 - -209. Let p = -1\/158 - 313\/474. Let r = -1 - -4. Which is the closest to -0.4? (a) p (b) f (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 81*n - 25 = 77*n, 3*l = n + 2. Suppose -2*h = 3*s + 9, 4*h + 3*s + 3 = 2*s. Solve 2\/7*o + 2\/7*o**2 - 2\/7*o**l + h - 2\/7*o**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/15 (b) 1.8 (c) 225.1 (d) -2 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 2*o - 2*z - 4, -122*o - z - 95 = -99*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/b**(2\/41))\/b)**(-5\/17)\/(b\/b**15)**8 assuming b is positive.\nAnswer: b**(77869\/697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*368.\nAnswer: -2944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44125.\nAnswer: 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2\/129, -2, 12378, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5031 - 1311?\nAnswer: 3320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53*g**3 - 10331*g**2 - 40*g + 94 wrt g?\nAnswer: -318*g - 20662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -392936 and 264.5.\nAnswer: -103931572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 43*x + 1147. Calculate b(-26).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128355 and 51600.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*n + 173 - 236 = 0. Put 3, -4, n, 7 in increasing order.\nAnswer: -4, n, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (14 - (5 + 2) - -7)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-171)\/(-2508))\/((-2)\/(-11))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 661 by -16580.\nAnswer: -661\/16580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 98 - 106 - 47 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 - 20 = -7*j. Let g be (j\/(-6))\/11*(-1 - -31). Solve 5 = d - 3*d + 3*m, -2*d - g = -4*m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5\/5 + 912*h**4 - 714312*h**3\/5 + 35394624*h**2\/5 - 720078336*h\/5 + 1048080384 = 0 for h.\nAnswer: -2430, 24, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, z: 5, s: 1, d: 3, v: 1, p: 1}. What is prob of picking 1 s and 1 z?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1032, -1042, -1058, -1080, -1108, -1142, -1182?\nAnswer: -1228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 0*y + 2*y)*(-4 - 2*y + 4) + 2*y**2 - 5*y**2 + 4*y**2 + y + 3*y**2 - y.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 6 = 0, j - y - 5 + 0 = 0. Suppose k = -j*k + 12. Solve 3 + k = 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6330600 and 165150?\nAnswer: 2323330200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = 5*h + 88. Suppose 0 = -2*n - 5*r + 35, -n + 56 = 3*n - 4*r. Calculate the remainder when h is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 - 1. Let p(m) = -3*m + 1. Let f be p(-1). Let k be (2 - f) + 56\/26. Which is the second smallest value? (a) i (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*c**2 + 9*c**2 + 8*c**2 + 3*c**2 + 3*c - 3*c + (5*c + 0*c - 3*c)*(2 + 2*c - 2) + 2*c**2 - 3*c**2 + 3*c**2 in the form t + z*c**2 + f*c and give z.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -42370951, -42370925, -42370899, -42370873?\n\"Answer: 26*q - 42370977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -8*x. Let j(l) = -2*l**2 - 12 + 26 - 39. Give j(v(a)).\nAnswer: -128*a**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-7)\/28)\/(2\/(-40)). Suppose k*d + 0 = -20. Is (-8)\/(-12)*(-1578)\/d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 - 4*w**4 - 9 + 13 + 4 + 3*w**4 - 4 - w + w - 2*w**4 - w**2 + w**2 + w**4 + (-2*w + 2*w**2 + 2*w)*(3*w**2 + w**2 - 2*w**2).\nAnswer: 2*w**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + f**4 + 0*f**4 - 3)*(6 - 1 - 4).\nAnswer: f**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 749.\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h - 6*h - 4*h - 3 - h**2 + 10*h. Let w(p) = -p + 1. Let a be w(5). Is 4 a factor of t(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 1401*v**2 - 1402*v**2 + 10*v**3 + 4*v**3 to i*v**2 + w + j*v + p*v**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33008 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: What is the highest common divisor of 5556 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177259, -177261, -177263, -177265?\nAnswer: -177267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -162955425 and 15615.\nAnswer: -162939810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*z - 1. Let m(g) = 15*g**3 - 13 - 8*g - 2*g + 17*g**2 - z*g. Let v(f) = -7*f**3 - 8*f**2 + 6*f + 6. Give -6*m(p) - 13*v(p).\nAnswer: p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 869, 13, -5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134 - 81. Round i to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i. Let w(j) = -j**2 - 3*j. Let m(b) = -304*b**2 - 456*b. Let l(r) = -m(r) + 152*w(r). Calculate l(n(v)).\nAnswer: 7448*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/33 and 103\/1344?\nAnswer: 14784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -52, -165, -374, -709?\nAnswer: -1200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -19*z + 136. Let o be v(7). Let w(y) = 3*y - 7 + 5 + 3*y - 13*y. What is w(o)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 4*s + 4 = 11*s - 6*s - 2, -3*s + 4 = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -55557 and 1133.\nAnswer: -54424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y. Let b(s) = 2*s. Let q be b(1). Let h be (-1)\/2*(-12)\/3. Let w(p) = -p**2 + q*p**h - 2*p**2. Determine w(g(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g*s**2*v**3 + 341234*g*s**2*v - 1061*g*s*v**2 - 2*g*s - 2*g*v**3 + 2*g*v**2 - 80*s**2*v - 2*s*v - 41*v**3 + 250 wrt s?\nAnswer: -4*g*v**3 + 682468*g*v - 160*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 + 4*l**2 + 6. Let g(s) = s**2 + 1. Let u(z) = -z**2 - 8*z + 32. Let i be u(-11). Calculate i*y(d) + 6*g(d).\nAnswer: 2*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/17)\/((o*o**2)\/o)*o**(2\/33)\/((o*o\/(o*o\/(o**(23\/4)*o)))\/o) assuming o is positive.\nAnswer: o**(-16991\/2244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -2\/5 (c) 0 (d) 119962 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 4*b - 2. Let t(q) = -q**2 - 3*q + 1. Let k(m) = -2*l(m) - 3*t(m). Let p be k(0). Let j = -100 + 102. Solve -7 = -j*h + p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 11, z: 8, u: 1}. What is prob of sequence zz?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*v + 33440 = 49*v - 97*v. What is the highest common divisor of v and 176?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*i - 2*p - 3, -3*p = -5*i + 19. Suppose -i*t + 3 + 1 = 0. What is the third derivative of -2*w**t + 3 + 7*w**3 - 10*w**3 - 3 wrt w?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 3 + -5 - -2) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-6 + 4) - 4)\/((-43076)\/524744).\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1692, 1445 in decreasing order.\nAnswer: 1692, 1445, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28.54 - -24.54. Which is the closest to 74? (a) -0.3 (b) q (c) -0.5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.00770028959 - 2.0077. Round v to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**3\/3 + 69*t**2\/2 + 108*t. What is the remainder when c(27) is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = b - 4. Suppose -q + 2*q = b. Factor -q*j**2 + 4*j + 3 - 1 - 5 + 1.\nAnswer: -2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24123 - 18102 + 1935 - d**2 + 7905 - 16875)*(0 + d + 0).\nAnswer: -d**3 - 49260*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 11*y**2 + 11*y + 16. Let l be n(12). Suppose 0 = -l*p + p + 81. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/12*27\/(-12)*(-96)\/(-72).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -447 (base 10) to base 13.\nAnswer: -285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 35079.13cm?\nAnswer: 350791.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 7:54 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 40, 85, 150, 241, 364, 525, 730, 985?\n\"Answer: d**3 + 4*d**2 + 26*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49128 - 8976. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -89aa1 (base 11) to base 4.\nAnswer: -133311330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*1\/(-10))\/1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7344 and 6050232?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*h + h - s, 0 = h - 4*s + 9. Let k = -25 - -18. Let j = k + 15. Calculate the lowest common multiple of j and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/8)\/(-69*(-132)\/12144)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 371459166 rounded to the nearest 10000?\nAnswer: 371460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -27*h - 2. Let c be z(-7). Suppose 108 = -5*b - c. Let k = b + 142. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -h + 111, -74*h - 3*n + 111 = -73*h. Solve -5*b + 111 = h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 1 + 1\/4*v**4 - 2\/3*v**3 + 0*v**2 + 0*v. Factor y(h).\nAnswer: h**2*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 14*q + 10. Let p(t) = -t**2 + 13*t - 10. Let b(n) = 6*a(n) + 7*p(n). Let w be b(4). Factor -o**3 - 4*o**3 - 32*o**2 + 32*o**w.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93131367 is divided by 46565678.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 17 = -4*b + 4*z, -b = -4*z + 1. Let i(s) = -s**3 - 5*s**2 - 3*s + 6. Let p be i(b). Suppose 0 = -18*k + p*k - 39. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*b - 18, -4*b + 2*b - v + 5 = 0. Suppose -5*m = -4*m. Solve 2*l - 2 = -h, -3*l + m*l + 3 = -b*h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*sqrt(44)\/(2*sqrt(4)) + (sqrt(891) - (0 + sqrt(891) + -1))).\nAnswer: -5*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*z**4 + 1 - 27*z**4 + 1)*(3*z + 0*z - z + 2*z - 2*z + z + (-1 - 2 + 1)*(2*z - 2*z + z) - 336 - 134*z + 336).\nAnswer: -399*z**5 - 266*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 3:22 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-14)*((-44)\/8)\/((-42)\/(-588)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-65)*(8\/(-12))\/((-10)\/(-15))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61318.18 litres to millilitres.\nAnswer: 61318180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 11*d + 24. Let x be f(3). Suppose x = -140*u + 152*u - 233760000. Round u to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -110 + -124 + 392 - 123?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -68?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -1038352.\nAnswer: -3\/1038352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m**2 + 4*m + 2. Calculate x(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2013*l**2\/2 + 24149*l + 168 = 0 for l.\nAnswer: -14\/2013, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -156 - -2455.\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-580)\/(-261)*-3)\/(-6).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1485.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.3, -3\/5, 1\/2, -0.5 in increasing order.\nAnswer: -3\/5, -0.5, 0.3, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16444 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 8*w - 32, d = -71*w + 74*w - 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1424 + -2?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3249, -3250, -3251, -3252, -3253, -3254?\nAnswer: -3255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4023 + -4022.91983. Let w = 0.92 - 1. Let l = w + h. Round l to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)*-5)**2 + sqrt(9)\/sqrt(3)*-5.\nAnswer: -5*sqrt(3) + 9075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -96 and 0.03?\nAnswer: -2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 68 and 0.4.\nAnswer: 27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*h**4 + 2*h**3 + 2105838*h**2 - 43769*h + 181 wrt h?\nAnswer: 96*h**2 + 12*h + 4211676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22542, 21797, 21052, 20307, 19562?\nAnswer: 18817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -762\/73 + 3591\/365. Find the common denominator of 56\/1573 and q.\nAnswer: 7865","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34802*k**3 - 69*k**2 + 4974840*k?\nAnswer: -208812*k - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -13\/24*u**4 + 0*u + 2*u**3 - 5*u**2 - 1\/60*u**5 + 0. Is 12 a factor of o(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h. Let u(l) be the third derivative of -l**7\/840 + l**5\/12 + 48*l**2. Let x(n) be the third derivative of u(n). Give 15*f(v) + 3*x(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/48*0)\/((-4)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3*1\/(-3)*(-16)\/4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1060 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14175*b**6 - 4*b**3 + 149*b**2 - 220*b wrt b.\nAnswer: 1701000*b**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 + -30. Calculate the remainder when 51 is divided by l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46422*u + 46417*u + s - 15, -5*s = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4107\/2 + -2033. Solve -m*o**2 + 105\/2*o**4 - 14*o - 2 + 18*o**5 + 26*o**3 = 0.\nAnswer: -2, -1, -1\/3, -1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 3175722?\nAnswer: -3175727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 138338 + 1052\/3*s + 2\/9*s**2.\nAnswer: 2*(s + 789)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 4:26 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxdeedwddwdd. What is prob of picking 1 w and 1 d?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by 2\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - (62 + -11)) + -85 + -3.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (sqrt(17) - sqrt(2448)*2 - sqrt(17))) + -2*sqrt(17)*4)*1 - ((sqrt(1088) - (-2*sqrt(1088) - sqrt(1088))) + -2 + -3)**2*-4.\nAnswer: -1263*sqrt(17) + 69732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 6655*k**2 + 13290*k.\nAnswer: 5*k*(k + 2)*(k + 1329)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7*j**3 + 14*j**2 - 1. Calculate x(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*o + 7*o - 1463, -5*m = 4*o - 1433. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0043914 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g + 206 = -16*g + 46 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/54)\/(-3*(-7)\/42)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-66)\/(-12) + -3)*6\/5. Suppose -2*l - 3*w = -4, l + f = -w + 5. Factor -1\/2*q**l - 1 - 3\/2*q.\nAnswer: -(q + 1)*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23564 + 72052 = 970*w - 134*w for w.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 35, 18, -51, -190?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 173b - 7a?\nAnswer: 1681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6169 and 19502?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1031 = -7*d + 1241. Solve d = 5*t + 5*z, -5*t - z + 6 + 4 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -81*m - 5437. Calculate d(-68).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19306, 19308, 19310, 19312?\nAnswer: 19314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -649, -2498, -4347?\nAnswer: -6196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9.029981 decades?\nAnswer: 0.09029981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5352599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 429 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 32. Suppose 3*h - 2*t - 82 = -0*t, 0 = 2*h + z*t - 76. Calculate the remainder when 57 is divided by h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a. Let x(q) = -22*q + 10. Let c(d) = 7*d - 3. Let p(j) = -20*c(j) - 6*x(j). Calculate b(p(s)).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1778 is divided by 439?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68\/20283 or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 5*k - 684 + 1361 - 656, -2*w + 26 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9667550 rounded to the nearest 10000?\nAnswer: 9670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -41. Suppose -2*v - 4*o - m = -9, v = -5*o + 9. What is the nearest to 1 in 2, v, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -15. Which is smaller: x or 7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.4, -24443, -12\/13, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 1, i: 3, t: 1, x: 5, c: 4}. Give prob of picking 1 c and 1 x.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3\/8 - 39*j**2\/8 - 45*j\/4.\nAnswer: -3*j*(j + 3)*(j + 10)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 638?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22044 + -21899. Solve -144*s = -l*s + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*o)*(-1 - 2 + 2)*(-2*o**3 + 0*o**3 + 4*o**3).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 149 (b) -417 (c) -2 (d) -287\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - x = z - 52, -z = 5*x + 15. Let w = z + 27. Find the second derivative of 7*r**3 - 3*r + w*r - 8*r**3 - r wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8008042 is divided by 132.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 141*h + 2835 = -0*d, 5*d + 3*h - 20 - 65 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 1516931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 56509813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -1661*a**2 - 1340*a + 37. Let l(t) = -3321*t**2 - 2678*t + 62. Let b(v) = 5*f(v) - 3*l(v). Find the second derivative of b(u) wrt u.\nAnswer: 3316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/((j**(-4\/3)*j)\/j)))\/j*j\/j**13 assuming j is positive.\nAnswer: j**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -103755, -207139, -310529, -413925, -517327?\n\"Answer: -3*w**2 - 103375*w - 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.87203 and -0.15.\nAnswer: 0.7308045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 7990?\nAnswer: 7986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73*a**4*w**3 + 248*a**3*w**3 + 3991*a*w**3 + 4*a*w - 6 wrt a?\nAnswer: 876*a**2*w**3 + 1488*a*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 10*i**2 - 14*i + 28. Let p(b) = -b**3 + 21*b**2 + 118*b + 300. Let x be p(26). Calculate v(x).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 171373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 479 = 5*d, -3*m + 121 = 2*d - 81. Let b = d + -5. Is b a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 807496606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gfr when three letters picked without replacement from fgwqagraawggffraagwg?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 195895535 divided by 13085?\nAnswer: 14971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 + 106 = 3*m. What is the lowest common multiple of m and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3*a - 408, 5*t + 3*a = -0*a + 674. Suppose -g - t = -4*h - 4*g, 0 = -4*h - g + 143. Let k = h + -15. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 3*d + 5, -5*f - 2*d = -2 - 6. Let v = 12 + -10. Factor -v*j**2 - 2*j**2 + 3*j**f - j**3 + 1 + 0*j + j.\nAnswer: -(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 8*b**2 + 78*b - 24. Calculate p(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1134 * 4827\nAnswer: -547.3818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 174 (b) -4 (c) 0.04 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ft when two letters picked without replacement from {f: 3, r: 1, k: 2, x: 1, t: 3, d: 1}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 9:47 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5170*a**2 + 3795*a.\nAnswer: 10340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 12489 and 12489 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.18 and -28315676.\nAnswer: -28315677.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**6\/120 - z**5\/3 + 11*z**4\/12 + 2*z**3 + 442*z**2. Calculate h(-21).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 638.7 - 652.7. Sort 0.1, -0.5, 0.19, m in decreasing order.\nAnswer: 0.19, 0.1, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 23*t - 30. Let a be g(-20). Suppose 0 = 34*b - a*b - 184. Suppose -4 + b = 7*v. Solve 0 = 6*x - 2*x + 4*j, -3*x + 3*j = -v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 4*v + 10. Let c be m(6). Let z be (-2)\/c + (-1 - (-2 - 1)). Let p be 8\/6*(-15)\/(-2). Solve -2*x = 2*r - 10, -2*x + 3 = z*r - p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/6126 and -91\/127669924?\nAnswer: 383009772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 5*q + 15. Let m = -60 - -80. Let f(s) = -8*s**2 + 36*s + 104. Let h(x) = m*l(x) - 3*f(x). Suppose h(i) = 0. Calculate i.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101334250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40816943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 4104*k - 64640.\nAnswer: -4*(k - 1010)*(k - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 25041 and 1.78 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -36280 (b) 770 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssissssssssii. What is prob of sequence ssis?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2018.\nAnswer: 2, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 - 5*i**2 + 420*i - 1023*i - 6*i**2 + 0*i**2 in the form o*i + v*i**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*g - 16 = -4, 0 = o + 4*g - 16. Suppose 5*v - 2*v = o. Suppose v*x = 3*x. Solve x = 4*r - f + 19, 2*r - 22 = 6*r + 2*f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**41*i*i*i*i**(4\/21) assuming i is positive.\nAnswer: i**(-773\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1907449?\nAnswer: 1907449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 9 - 16 + 8. Let i(b) = -b**3 + b**2 + b - 1. Let r(x) = -i(x) - 2*v(x). Give r(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**8*s)\/((s*s**8*s)\/s) assuming s is positive.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7*o**3 + 5*o**2 + 9*o - 12. Let z(w) = -8*w**3 + 6*w**2 + 10*w - 13. Give 6*f(l) - 5*z(l).\nAnswer: -2*l**3 + 4*l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**8\/4032 - 13*g**5\/20 - 12*g**2. Let z(c) be the third derivative of t(c). Determine n, given that z(n) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 21 = -3*z - 5*h, 5*h = 32*z - 18 - 10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 640725086 a multiple of 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.164 + 124.836. Let c = -124.999874 + g. What is c rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n + n**3 - n + 3*n**2 + 2*n + 5*n**3 - n**3 - 2*n**3 + (-2*n**2 - 3 + 3)*(-5 + 2*n + 5) - n**3 + 2*n - 2*n.\nAnswer: -2*n**3 + 3*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 54946069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*j**2 - 31221*j**3 + 31267*j**3 + 167 + j**2 + 0*j**2 wrt j.\nAnswer: 138*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 18 = -5*o - 3*d, 2*o + 22 = -2*d. Let a be (-190)\/(-12) - (-9)\/54. Let u = o + a. Solve 3*s = -2*m - 14, -m - u = 3*s + 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 10:21 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2 = 4. Suppose -n = -2*b + 4. Suppose 5*a + 4*y + 15 = 5, -3*y - 15 = 0. Put a, b, -3 in ascending order.\nAnswer: -3, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 - -33. Let k be 5226\/j - (-15)\/25. What is the common denominator of (-6)\/(-2) - k\/24 and -3\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1939686075.\nAnswer: 3, 5, 211, 13619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 28 + 8, -4*n - 17 = p. Let i be 3 + 0 + (n - -2). Let t(a) = 2*a**3 + 4*a**2 - 5*a + 5. Let m be t(i). Which is bigger: m or 26?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 12.6, 4, 0.3 in decreasing order.\nAnswer: 12.6, 4, 3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-23)\/(-115) + 61\/(-5). Let n be 0 - -4*3\/f. Is n bigger than 1\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*n - 41*n - 6655 = 485 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + ((-2 + sqrt(343) + 0)*2 - (sqrt(343) + 1 - sqrt(343))*3*-5))**2.\nAnswer: 504*sqrt(7) + 4224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 1300178?\nAnswer: -1300177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2 - 9*z + 11*z - 3 + 4. Let a(g) = -g**3 + 3*g**2 + g - 4. Let j be a(3). Let f be v(j). Solve f*r = r + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/7 - 32\/(-14). Let h be (-75)\/12 + 6 + 122\/8. Let y be 3 - (q + 20\/h). Which is the third biggest value? (a) y (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/14070 and -37\/8610.\nAnswer: 576870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 391126.\nAnswer: 2346756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 11*i = 18*i + 2*i. Let n(d) = d**2 + 3*d - 4. Let p be n(-5). Let f = p + -4. Solve x - 1 - f = i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11776486 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 201989 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -7*r + 12. Let x be 1\/(r\/2 - 1). Let d = x - -4. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8.25 and 4903.880084.\nAnswer: 4895.630084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 38*u**2 + 355*u + 5. Calculate f(-20).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -12*w + 11*w + 4*u, -14 = -w + 5*u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s\/(s**(-21)\/s))\/s))**(7\/10))**(5\/3))**(-2\/5) assuming s is positive.\nAnswer: s**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-212)\/(-1378))\/(((-16)\/(-26))\/2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Let t be (3\/9)\/((-1)\/(-9)). What is the derivative of 0 - t*b + 1 + i wrt b?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w - 1. Let i be k(-1). Suppose -3*f + i*h = -16, 5*f - 4*h - 11 = 19. Solve 5*b = f*v + 10, 5*v + 4*b + 1 = 42 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1203 - -249. Let o = u + 1886. Calculate the remainder when o is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36681636?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 75*b**3 + b**2 - 56*b - 2. Let q(i) = -78*i**3 + 56*i + 1. Let w(p) = -2*d(p) - 3*q(p). What is the second derivative of w(z) wrt z?\nAnswer: 504*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 384 - 10366\/27. Is c at least 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -18073, -1, 1, 0, 5, 2 in descending order.\nAnswer: 5, 2, 1, 0, -1, -15, -18073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*p + 100 + 110 - 4086 = 0 for p.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 898?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 5*n. Let c(t) = -t - 1. Let k(r) = 3*c(r) - y(r). What are the prime factors of k(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 5:06 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -430034 (base 6) in base 10?\nAnswer: -35014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x = 14*x - 11*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1344\/588 + (-5)\/((-175)\/(-10)). Solve 20\/7*y**4 + 0 + 40\/21*y**x - 8\/21*y - 74\/21*y**3 - 6\/7*y**5 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - f + 5*f + 4, 0 = -4*g - 3*f. Put 0, -12, g in increasing order.\nAnswer: -12, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13310098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 17. Let c be (-2 + 2 + 1)*w. Let b be 3*(-1 + (-8)\/(-3)). Solve -4*l - c - 33 = 5*y, b*l = 3*y - 13 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(30\/9)*520\/(-52)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5527*j**2 - 66331*j + 67. Calculate g(12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 7:24 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 5*l**2 + 10. Suppose 57*f + 1047 = -186*f - 106*f. Give d(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = j + 4*p, j + 7 = -p + 16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-10*b + 254 - 254)*(0 + 2 - 1) - 11*b - 28*b - 2*b)*(-b + b + b) - 2*b - b**2 + 2*b in the form z*b + a*b**2 + t and give a.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 8)*1\/(-1) - 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 19427470, 19427477, 19427484?\n\"Answer: 7*z + 19427463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8061005*5*(-8)\/(-360) - 6\/27 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a factor of 13251712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -5, 1704 in descending order.\nAnswer: 1704, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(1\/2*4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 33*i**2 + 10 - 12.\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/2204 and -33\/21699482?\nAnswer: 43398964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 1:57 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 + -41. Suppose 5*f - 2*n - 36 = 0, -s*f - n + 5*n + 30 = 0. Suppose f*z - z = 0. Solve z = v + v + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91805.\nAnswer: 5, 7, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46\/9 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 6691*v**4 + 12403*v**4 - 6284*v**4 + 4*v**3 + (3*v**2 - v**3 - 3*v**2)*(3 + 3*v - 3) to f*v + k*v**2 + l*v**3 + r + w*v**4 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/2*(-4)\/8*(-466)\/2330?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -120, -122?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 522\/7 or 75?\nAnswer: 522\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02230703 + 0.0223. Round g to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -244.279981837 + 244.28. What is w rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 14 = -34. Suppose -g - 6 = w - 3, w - y = 4*g. Suppose 2*b = 2*a + 12, 0 = -3*b + 5*b + 5*a + 9. Sort -2, w, b in ascending order.\nAnswer: -2, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 3. Let q be 14861\/h - 18\/(-81). Let a be q + (4 + -4 - -1). Round a to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9255354 divided by -4627677?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oog when three letters picked without replacement from gzgiigizzoozqzzzf?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-76)\/(-14) - (-21)\/(-49). Is (1 - -487) + -2 + r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3572 and 380?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 442 = -5*t. Let b(x) = x - t + 5*x + 33. Give b(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**8\/6720 - a**7\/1260 + a**6\/240 - a**5\/40 - a**4\/24 + 3*a**2. Let z(i) be the second derivative of q(i). Determine z(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/18*1\/(-2). Let q = 332 + -217. Let j = q + -119. Sort j, -2, y in descending order.\nAnswer: y, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k - 4*d - 52 = 0, -11 = -109*k + 112*k - d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-3 + 6) - (0 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281409 is divided by 1845.\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 5:28 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390 = -0*q + 5*q. Let o(t) = -1896*t + 77788. What is the least common multiple of q and o(41)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -0.5 (c) -1 (d) 3\/65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17\/13 - 64\/39. Let o = 23.1 - 23. What is the nearest to o in -2\/15, t, -6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*i = 377 + 133, 320 = -2*r - 3*i. Let f = 1147\/7 + r. Which is the nearest to f? (a) 1 (b) 1\/2 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 0*u = -4*q + 12, 5*q = -2*u + 33 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18201 is divided by 9099.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (-66 - -27) - 40.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*f - 136 + 46, 0 = 2*f - 5*o + 87. Let j be ((1\/(-152))\/1)\/(f\/(-92)). Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*q + 35 = 0, 22 = -2*b - 0*b + 2*q. What is the remainder when (-3)\/5 + (-556)\/b is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(1\/7)*a))**(2\/25)*a*a*a**(-7)*a*a*a*a\/((a*a\/a**(-10)*a)\/a) assuming a is positive.\nAnswer: a**(-2277\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -49*f**3 - f**2 - 2*f - 1. Let m = 228 - 229. What is k(m)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 303705361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8078590 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13101 (base 6) in base 16?\nAnswer: 7bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**5\/20 - 7*v**4\/24 + 4*v**3\/3 + v**2 + 29*v + 41. Let f(c) = 3*c**2 + 6*c - 8. Calculate -7*f(l) - 6*n(l).\nAnswer: -3*l**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 7*r - 12. Let y be f(6). Is 21 a factor of (-1005)\/y - 3\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00171 to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2205) - 1*sqrt(2205)) + 1)**2 + sqrt(2205) + sqrt(2205).\nAnswer: 1 + 42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**2 - 4*t - 11. Is o(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -3*i**6\/5 + 35*i**4\/12 - 11*i. What is the third derivative of b(t) wrt t?\nAnswer: -432*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**4\/2 + 484842*k**3 - 39166019574*k**2 - 2037616382880*k - 26493274454400 = 0.\nAnswer: -26, 161640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyykzzfzzzzzz. Give prob of picking 1 y, 2 z, and 1 f.\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*1)**2 + 4 + -3 + -1 + sqrt(1539).\nAnswer: 9*sqrt(19) + 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2036 + -2036. Put 0.099, 1, z in ascending order.\nAnswer: z, 0.099, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -o + 4*z + 20, 4*z = 5*o - 53. Let d(h) = -h + 14 + 0*h - 5 + 3. Let l be d(9). What is the greatest common factor of l and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**3 + 2*i**2 - i + 29. Let x be c(0). Suppose -27*g = -x*g + 168. Let l = 18 + -6. Calculate the greatest common factor of l and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(((-216)\/(-45))\/12). Solve 18 - 43 = n*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*z**2)*(8*z + 3*z + 16*z)*(-z**2 + 3*z**2 + 0*z**2) + z**5 + 2*z**5 + 5*z**5.\nAnswer: 116*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 448.7987 centuries in millennia?\nAnswer: 44.87987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(153))\/(2*sqrt(324) - sqrt(324)) - (-1*sqrt(204)*2)\/(sqrt(12) - ((sqrt(12) - 1*sqrt(1728)) + sqrt(12))).\nAnswer: sqrt(17)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - -9. Suppose 2*o = 0, -11 = x + 3*o + 2*o. Let f = x + v. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1026, 2051, 3078, 4107, 5138, 6171?\n\"Answer: s**2 + 1022*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 = -2*x + w - 205, -5*w - 21 = -4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 4, 35\/3, 1, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8666 is divided by 2767?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (48\/15)\/((-1)\/(-5)). Is (-4)\/2*(-2648)\/f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b3 - -1?\nAnswer: -b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 11*x**2 + 11*x + 21. Let w = -9 + 14. Let n be 8\/(-2) + w\/(-5). List the prime factors of a(n).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 + -37. Let f be 6*(-65)\/(-39) + -5. Solve j = 5*b + f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, k: 3, u: 7, t: 3, h: 1}. What is prob of picking 1 d, 1 k, and 1 h?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1))\/g**2*g\/(g**(-1\/5)\/g*g*g)*g*g**(-2\/23)*g*(g\/g**6)\/(g\/g**(3\/5))*(g**0)**(-16) assuming g is positive.\nAnswer: g**(-378\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u. Let f(w) = 16*w**2 - 77*w + 77*w. Determine a(f(d)).\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 29*r - 256. Suppose 0 = -47*y + 45*y + 18. Let m be k(y). Solve 20 = -2*p + 3*s, 0 = m*p - p - 4*s + 32 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140600000 rounded to the nearest one million?\nAnswer: 141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1902.\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*c + 607*c + 398*c + 617*c - 271*c.\nAnswer: 1479*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 10*f - 24. Let n be v(3). Calculate the lowest common multiple of 22 and n\/(-2)*40\/6.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 30747 = -11103. What is h rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 5*d**9\/504 + d**5\/20 + d**2 + 2. Let y(b) be the second derivative of j(b). Find the third derivative of y(q) wrt q.\nAnswer: 600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22, 89, 210, 391, 638, 957, 1354?\n\"Answer: h**3 + 21*h**2 - 3*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1, 2, -5 in increasing order.\nAnswer: -5, -1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.089 + -13.089. Let z = c + 15. Which is smaller: z or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 111, 166, 221, 276?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 204 - 462 + 190 = -2*h, -i + 36 = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 6. Sort 1, 4, l.\nAnswer: 1, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 19*s**2 + 100*s - 110. Calculate l(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -3*n**4\/2 - 44*n**3\/3 + 1304*n - 3536. Differentiate l(s) with respect to s.\nAnswer: -18*s**2 - 88*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18383739 divided by 1749.\nAnswer: 10511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3822 divided by 7?\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*u + 20 = 170*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 6 = 3*z. Suppose 4*x = -4*t + 2*x + 8, -2*t - 4 = 5*x. Suppose 12 = 5*n - t*n. Calculate the greatest common divisor of z and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70069 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.384764992 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -133 - 10?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1066113 years to months.\nAnswer: 1.2793356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 282755 and 583.\nAnswer: 282755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**3 - w + 0*w - w. What is the lowest common multiple of n(-2) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 0 + 0*o**2 - 1\/3*o**3 - 4*o. Let k(n) = 2*n**2. Determine y(k(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 30 = 4*p. Let y be (-8)\/p*15\/(-6). Sort y, 0, 3 in increasing order.\nAnswer: y, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**3*s**3*w**2 + 218*n**3*s**2 - 76*s**3*w**2 - 11*s**3 + 21*s*w**2 - 3*w wrt w.\nAnswer: -4*n**3*s**3 - 152*s**3 + 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -3*n + 0*n**5 + 0*n**2 + 0*n**4 + 0*n**6 + 1\/2*n**3 + 0 + 5\/42*n**7. Find the second derivative of w(t) wrt t.\nAnswer: 100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -719*-0.1\nAnswer: 71.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 60097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -587 - -1196. Let j = a + 135. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -86, 62, 312, 670, 1142, 1734, 2452?\n\"Answer: c**3 + 45*c**2 + 6*c - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.276 * 0.0433\nAnswer: 0.0119508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 137*q - 4755. Give h(40).\nAnswer: 725","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111011 - -100001000101110111000?\nAnswer: 100001000110000110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddgdgd. What is prob of picking 2 d and 1 g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13677538 to the power of 1\/2, to the nearest integer?\nAnswer: 3698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 563661?\nAnswer: 4509288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 48473 greater than 48473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 7:34 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50155 is divided by 230?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 2:24 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33150)\/(-225) + (-5106)\/414.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/14949 and 89\/28827108?\nAnswer: 317098188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1982407 to the power of 1\/2, to the nearest integer?\nAnswer: 1408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2*j)**(-1\/8)*j*j*j**(2\/13)*j*j*j**(-8) assuming j is positive.\nAnswer: j**(-439\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6849, -2383, 2083, 6549?\nAnswer: 11015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6, 2, -1, 392\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2683.8161 to the nearest 10.\nAnswer: -2680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 342120415 (base 6) in base 5?\nAnswer: 3100344202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -370343\/18 + 20567. Let g be (-77)\/(-42) + (-5)\/(-30). Find the common denominator of g - 0 - 572*(-1)\/(-40) and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 779, 798, 819, 842, 867, 894?\nAnswer: 923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63284 or 0.4?\nAnswer: -63284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(2548)*-1 + sqrt(52) + sqrt(832)*4)\/(sqrt(256)*2 + sqrt(64)*2))*-3.\nAnswer: -5*sqrt(13)\/4 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 4*o - 1899 + 1891 = 0, 0 = 5*y + 2*o - 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, l: 2, p: 2, a: 1}. Give prob of picking 1 p and 1 c.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 169 - 316. Let l be (-1 + 2)\/((-7)\/y*7). Is l > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - -143. Let t = g - -14. What is the common denominator of -51\/10 and -2*t*1\/32?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 98656 = -4*f + f, -k - 2*f + 19739 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -54\/89 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 50*h**2 + 3423*h + 168908. What is i(-48)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 12. Suppose -4*n + 33 + 15 = 0. Let i be r(n). Which is the closest to 1\/3? (a) i (b) 1\/3 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28231 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**2 + 0*x**2 - 5*x**2 + (-3*x**2 + 4*x**2 - 2*x**2)*(22 + 4 + 8) to d*x**2 + a + g*x and give d.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**4\/24 - 5*o**3\/6 - o**2. What is u(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4460, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5507 + -4082. Calculate the greatest common divisor of w and 228.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*(0 + 3 + -2). Suppose a*r - r - 33 = 0. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1704 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*u - 28, x + 0*u - 8 = 2*u. Let w be -183 + 118 + -1*3. Let n be w\/(-22)*5\/x - 1. Is 2 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.0107?\nAnswer: -0.00107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 12*a + 9. Suppose 2*s - 8*s = 54. What is the lowest common multiple of v(s) and 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 452 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 203032 times 0.4\nAnswer: 81212.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**2 - 8*o - 9 = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) -0.1 (b) 0.9 (c) 4 (d) -9 (e) 111 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -105485, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752179.\nAnswer: 223, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1566*h. Let t(s) = 5*s. What is t(n(q))?\nAnswer: -7830*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 35397, -6\/7, 0.033?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = u + 20, -5*n + 0*u - 20 = -u. Let l(g) = g**2 + 3*g + 11. Is l(n) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r = -15, -5*l + 3*r = 595. What are the prime factors of l*4\/(-56)*28?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.21 and 2816?\nAnswer: -6223.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 108394782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 62581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -18. Let q = -233 - -227.06. Let y = q - j. Which is bigger: -2\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4)*(4 + -4). Suppose 4*r - 2*t - 74 = q, -2*t + 5*t = 15. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3\/5 - 106128*c**2\/5 - 212268*c\/5 - 106136\/5.\nAnswer: 4*(c - 26534)*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3302 is divided by 725.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/21 of a week?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 14*n**2 - 5*n + 1. What is the remainder when s(-14) is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3178141969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 202 - 188. Sort 1, 4, a in descending order.\nAnswer: a, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 + -55. Suppose j - 20 = w. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-8))\/v)\/v**(-3\/14) assuming v is positive.\nAnswer: v**(-95\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zravllaaarralrddard. Give prob of sequence rd.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16825)\/(-625) - 3*-1) + ((-64011)\/1425 - -45).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29586465827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 445888.6 and -3.\nAnswer: 445885.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4\/5, -223\/2, 708?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 9:10 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -156.9236 - -157. Let p = f + -0.1165. Round p to three decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001286430391 to 5 decimal places.\nAnswer: 0.00129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 3*g)*(19 - 11 + 13) + 4*g + 0*g - 2*g + (-2 - 2 + 2)*(g + g - 3*g) - 4*g + g + 4*g - g + 3*g + 2*g in the form r*g + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(27) - sqrt(81)\/(-1*sqrt(3))) + sqrt(27) + sqrt(243)*-2)*-6)\/((1*sqrt(5445) - sqrt(45))\/((sqrt(5) + sqrt(5)*2)*4))*-3)**2.\nAnswer: 314928\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqxqqqx. Give prob of sequence xqx.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5786 or 5776?\nAnswer: 5786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 18 = -x, x + 2*s - 2 = 7*s. Let f be 2\/x*(-18)\/12. Put f, -3, 3 in decreasing order.\nAnswer: 3, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*f + 2*f - 3*f)*(-4 - 3 + 5) as w + x*f and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, v: 6}. Give prob of picking 3 f and 1 v.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2833170*j + 146214*j + 204950*j - 3323418*j.\nAnswer: -5805424*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sskz when four letters picked without replacement from {b: 4, k: 4, w: 1, n: 1, z: 1, s: 3}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12216545 rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13.2177 from -6.8114131.\nAnswer: 6.4062869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25146539 to the nearest integer?\nAnswer: 5015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/(-75)*-2*(-3)\/((-168)\/(-20))?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -3*z + 6*z + 79, 30*z = 176105*f - 176101*f - 106 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -207*g**5\/5 + 728*g**2 + 1636*g. Differentiate q(t) wrt t.\nAnswer: -2484*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2352 = -129*u + 136*u. Does 56 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrzrrzrrrrrrr. Give prob of sequence rrrz.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/11 + 80*q\/11 + 58.\nAnswer: 2*(q + 11)*(q + 29)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3 - 9 = -b, -24 = 5*b - n. Put -1, -3, b in ascending order.\nAnswer: b, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -155 - -159. Calculate the remainder when d - (-4 - -9 - 58) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -8*i + 13*i - 13 - 27*i. Is m(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 8*y**7\/21 - y**6\/60 + 38*y**5\/15 - 418*y**2. What is the third derivative of h(d) wrt d?\nAnswer: 1920*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 x when three letters picked without replacement from {b: 2, x: 2, t: 10, e: 2, z: 2}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.7 - -9. Let h = 16640.489994 - 16638.19. Let i = h - c. Round i to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m**2*p**2 - 2*m**2*v + 6*m*p**2 - 4*m + 4*p**2*v + 14*p wrt m?\nAnswer: -2*m*p**2 - 4*m*v + 6*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**3 + 7*t**2 + 4*t. Let d(f) = f**3 + 2*f**2 + 3*f. Let a(j) = -5*j**3 - 10*j**2 - 16*j. Let b(i) = 2*a(i) + 11*d(i). Determine -14*b(z) + 4*w(z).\nAnswer: -2*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**(-1\/7))*n*(n**(-2)*n*n*n)\/n*(n*n*n**(-4))**(-21\/5) assuming n is positive.\nAnswer: n**(334\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-5) - 0)*-5. Suppose h - m*g = -3*g - 9, -5*g + 5 = 3*h. Let s(n) = -3*n - 1. Let k be s(1). Put k, h, 3 in descending order.\nAnswer: 3, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/2*3\/45.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 5 = -137*n + 143*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*g - 10124 + 10320 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/125 and 29\/75?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13845*t + 13851*t - 2 + 5 - 27707*t.\nAnswer: -11*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3 + 5 = 0. Let q = g + 12. Suppose 0 = -5*d - 0*y - y + q, 5*y = -5. What is the greatest common factor of 2 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 4037\nAnswer: -13\/4037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1020 = 2*s + 1012. What is the greatest common divisor of 38 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/(d**(2\/9)*d))*d)**(2\/59)\/(d\/(d*d*d**(-10)))**48 assuming d is positive.\nAnswer: d**(-229334\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (55\/(-25))\/((-5)\/25). Suppose 3*j - 2*t + 0*t + 1 = 0, 0 = -2*j - t + u. Solve 0 = -16*o + 13*o - j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(5\/3)*w*w**(-9)\/w)\/(w*((w*(w\/(w*w**(-3\/8)))\/w*w)\/w)\/w*w**(-1\/8)))**(-36) assuming w is positive.\nAnswer: w**357","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28388 - -28403. Let t(q) = -35*q**3. Let s be t(-1). Calculate the highest common divisor of s and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 20*s**2 + 89*s - 2339. Determine x(21).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136873 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1851 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1311, -2637, -3977, -5331, -6699, -8081?\n\"Answer: -7*k**2 - 1305*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 11, t: 9}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*2*sqrt(288) + (sqrt(288) + (sqrt(288) - 1*sqrt(288) - sqrt(288)))*4)**2.\nAnswer: 480*sqrt(2) + 4633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**5\/20 - 7*a**4\/12 - a**3\/6 + 5*a**2 + 16*a. Suppose -4*j + 19 = -9. Give l(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12117 is divided by 1514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 8*t**2 - 4*t - 10. Let w(h) = 8*h - 1. Let u be w(1). Let k be s(u). Calculate the highest common factor of k and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -140?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 7*z**2 + 9*z + 9. What is the least common multiple of (-7)\/(-21)*3 - 3*-3 and x(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65*l**5 - l**4 + 53458*l**3 + 324814476*l**2?\nAnswer: 3900*l**2 - 24*l + 320748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 36 + 414. Suppose 10 = 2*f - 5*i - 41, 2*i - n = -4*f. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 28. Which is the third smallest value? (a) 4 (b) w (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -144657*o*r**2 + 5927798*o + 2*r**2 - 3*r wrt r.\nAnswer: -289314*o*r + 4*r - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from {c: 3, w: 3, h: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g + 3*g - 80*g**3 + 76*g**3)*(30 - 19 - g + 65) to the form o*g**4 + t*g**2 + d + j*g + k*g**3 and give k.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p - 2*p**2 - 2*p**3 + 33*p**4 - 2 - 31*p**4 + 2.\nAnswer: 2*p*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1640 + 1639.9. Which is the closest to q? (a) -15 (b) 2\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 6:25 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -88690*d - 975585. Calculate n(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) 21 (c) 198 (d) 5 (e) -0.99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000545686152 rounded to 5 decimal places?\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23356 or -1?\nAnswer: 23356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1475 (base 8) in base 16?\nAnswer: 33d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1053 and 10242018.\nAnswer: 399438702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = 9*o. Suppose o = 2*d - 49 - 177. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 12) to base 3.\nAnswer: -1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 z, 1 g, and 1 l when four letters picked without replacement from zjzlzjqzjqjjggzz.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, e: 5}. Give prob of picking 3 n.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 88. Let n be w(33). Do n and 52 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13013 is divided by 4836.\nAnswer: 3341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 1 - (-34 - -30) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 + 3 + 64 - ((0 - (5 + -3)) + 2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1244 + 1284. What is the lowest common multiple of 100 and f?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1530465 * 274\nAnswer: -419347410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 6.7, -1, 0.52, 14, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1955 - 1930. Solve 13*z - m = 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-3) + 38\/6. Let a(f) = 0*f + l*f + 6 - f - 2*f. Is 4 a factor of a(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 186913.4*2.8\nAnswer: 523357.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 39. Let g(p) = -p + 22. Calculate g(r(y)).\nAnswer: 2*y + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4259, 0, -133, 20, 2, 3, 5 in descending order.\nAnswer: 4259, 20, 5, 3, 2, 0, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 10732569.326 to the nearest 100.\nAnswer: 10732600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38024?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 25270672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*j + 1, 5*j - 6 - 14 = -2*s. Let f be (3 - 2)\/(((-3)\/j)\/(-3)). Solve 4*a - 4 = g - 0*g, f*g - 3*a - 2 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 - 4566*h**2 - 221088*h - 423936.\nAnswer: -3*(h + 2)*(h + 48)*(h + 1472)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040782 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: Simplify ((f*f**(2\/9)*f*f**(-1))\/((f**(-2\/3)\/f)\/(f*f**(-3)\/f)))**(-1\/5) assuming f is positive.\nAnswer: f**(1\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -771 - -773. Find the second derivative of 8*i - 3*i + 6*i + 17 - 22 + 10 - 139*i**n wrt i.\nAnswer: -278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 != 2389.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 652 - 527. Let c(t) = 2*t**2 + 3*t - 1. What is the remainder when f is divided by c(4)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4182 plus -312047795764?\nAnswer: -312047791582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -50)*(-10)\/(-6). Find the common denominator of 2 + 85\/r + -2 and -29\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-2))\/(855\/5814).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (37\/(-74))\/((-1)\/26). What is the highest common factor of q and 403?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 9 - 1 = k, 24 = 2*s + 4*k. Let v be (s\/(-2))\/((-7)\/35). Suppose v*g - 12*g + 40 = 0. Solve -g = 5*y - y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a - 1. Let g be v(6). Let s = -8 + g. Suppose -5*b - 5*m = -300, -m = -3*b + s*m + 201. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c - 8. Calculate a(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 3*o - 10, 0 = -4*y + 8*y - 3*o - 35. What is the remainder when 69 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/(f\/(f\/(f*f*f*((f*f\/(f*f*((f*f*f**2)\/f)\/f)*f)\/f)\/f*f*f*f*f))))*f)**26)**(-6\/7) assuming f is positive.\nAnswer: f**(-936\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103 (base 5) to base 9.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -33 + 34 + (12 - 20) + -128.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, j: 1, t: 4, h: 1}. Give prob of picking 3 q and 1 t.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 4*f - 5. Let t be n(-5). Suppose -3*r - 2*r + t = 0. Calculate the remainder when (-6)\/(-4) + 165\/6 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(156) - (sqrt(156) - -4*sqrt(156))))\/(5*sqrt(1452) - sqrt(12))*-2)**2.\nAnswer: 5200\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96 + -92. Let t be n - ((4 - 5) + (-1 - -1)). Solve t*v - 5*m - 4 = 6, 18 = 5*v + 3*m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391200 < 391199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 0 - 1\/15*v**5 + 1\/24*v**6 + 71*v**2 + 0*v + 0*v**3 - 25\/8*v**4. Find the second derivative of i(f) wrt f.\nAnswer: 30*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/(74\/(-444))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(27\/6)*-1. What is the highest common divisor of l and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32 or -347\/11?\nAnswer: -347\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1704*d = 1965 + 11667 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 25200045*n + 25200048.\nAnswer: -3*(n - 8400016)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -611536 by -16528.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.55 - -1.55. Sort n, -1\/5, 0.1.\nAnswer: n, -1\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42 + 179*i + 5*i**2 - 16 - 178*i wrt i.\nAnswer: 10*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) -2 (c) 0.5 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccccecclccc. What is prob of sequence cl?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-119744)\/(-288))\/((-3)\/(-81))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*q = p - 12599, -2*p - 6302 = -q. Round q to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q**2 + 3*q - 1. Let p(t) = 13*t**2 - 7*t + 1. Let b = -622 - -615. Calculate b*u(s) - 3*p(s).\nAnswer: 3*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2. Let f(n) = 2*n + 47328. Determine f(u(x)).\nAnswer: -2*x**2 + 47328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**4\/6 - 3*j + 18. Let w(m) be the first derivative of l(m). Let o(g) = 26*g**2. What is w(o(s))?\nAnswer: 1352*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ux when two letters picked without replacement from {x: 1, u: 1, p: 2, t: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -342084 at least -342039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-8) - 14\/4. Let s(y) = y - y - 2 - y. Let c(n) = -n - 2. Calculate h*s(a) + 2*c(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 59600 or 60129?\nAnswer: 60129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-72)\/15 - 4\/20. Let i be 633\/15 - (-1)\/d. Let x = i + -28. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 15. Let s(p) = -p**2 - 4*p + 6. Let a be s(-7). Let o be f(a). Suppose o = -33*l + 31*l + 90. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdmsmsdmmmm. What is prob of sequence sm?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 618 = -522. Suppose 475 = 23*s - 18*s - 3*l, m = 4*s - 3*l. What is the highest common divisor of s and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2505*x**2 - 2743*x**2 + 192 - 204 as u*x**2 + w + r*x and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2 - 50*x + 81*x - 32*x. Calculate o(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-45)*3*-1527 - -3. Let w = b + 198. What are the prime factors of w?\nAnswer: 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 17*f + 66. Let y be i(11). Suppose -3*z + y*z - 417 = -5*t, 2*t = 2*z + 170. Calculate the greatest common divisor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 - 35. Let v be ((-1)\/(-4))\/((-10)\/(-80)) - 22. Let w = h - v. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 21*b + 18*b - 31*b + 51. Let o be j(-6). Let g = -13 - -9. What is the biggest value in o, 0.4, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5934438.3 and 27392.\nAnswer: 5961830.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**7\/21 + 87*l**6\/5 - 740*l**3\/3 + l**2 + 250*l - 3. Find the second derivative of r(n) wrt n.\nAnswer: -40*n**3 + 6264*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(192\/36)\/(-16)*14\/(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.97 and 0.16?\nAnswer: 1.2752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 951*k + 40 = 961*k. Let w be (-1 - -16)*(-2)\/(-6). Let 0*z**2 + 0 + 0*z + 0*z**3 - 1\/3*z**w + 0*z**k = 0. Calculate z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -14. Sort 4, -3, w.\nAnswer: -3, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 9, -5, 1962 in ascending order.\nAnswer: -10, -5, 9, 1962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 365 - 338.1. Let f = d + -35.9. What is the second smallest value in f, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -148*b**3 - 22*b**2 - 4*b - 16. What is the units digit of k(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -17. Suppose c*s = -2*s - 5*p + 1858, -8 = -2*p. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**3 - 23*p**2 - 3*p + 1. Let h be v(8). Determine o so that h*o + 36*o**2 - 2*o**4 - 34*o + 17 + 13 + 57*o = 0.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1839456 and -5.\nAnswer: -1839461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 - -11330210?\nAnswer: 11330120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 + -48. Calculate the greatest common divisor of 148 and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. Suppose p*w = 3*w. Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**4 - 23580*i**3 + 45498162*i**2 + 3303146340*i - 3348620925 = 0. What is i?\nAnswer: -71, 1, 3965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -1. Let l = 48 - 45.9. Let k = l + -2. Put y, k, -1 in ascending order.\nAnswer: -1, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 878 + -877.9999402. Round t to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2. Let a be (-1 + -11)*8\/8. Let z(n) = -9*n**2 + 5. Let b(r) = 16*r**2 - 8. Let u(d) = 5*b(d) + 8*z(d). Calculate a*x(c) - 2*u(c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10302512.\nAnswer: 2, 11, 58537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 8*h + 9. Let z be c(-7). Let j(r) = -21*r - 1. Let m be j(-2). Let u = m + -23. Calculate the greatest common factor of u and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p = -y + 97, -2*p - 30*y + 31 = -27*y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 89 = -4*t, 84 = -4*o + 5*t + 213. Solve -o*y = 4 - 97 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 400955 + -947933. Suppose 20*i + 5775648 = 4*i. Let b = q - i. Round b to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 153*c - 182*c - 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 15. Let s be y(7). Suppose 4*w = w + 5*r + 16, s = 2*w - 4*r. What is the second derivative of -20*h - 12*h**2 - 18*h**4 + w*h**2 wrt h?\nAnswer: -216*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 4 = -5*u - 4*n, -4*u + 3*n = 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 + 3*z**2 + 0*z**2. Let t(g) = 7*g**2 - 8*g**2 + 2*g**2. Give t(s(k)).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3176365 (base 9) in base 2?\nAnswer: 110100000000000100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.38603 + 19252775.5.\nAnswer: 19252773.11397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 + 16*a - 11. Let q(m) = -m**2 - 8*m + 6. Let j(t) = 6*l(t) + 11*q(t). Let v(c) = 2*c**3 + 18*c**2 + 20*c + 24. Let s be v(-8). Determine j(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - z + 0)*(51*z**2 - 51*z**2 + 20*z**4) - 5*z**5 + 5*z**5 + 7*z**5.\nAnswer: -13*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-2) + -3 + 1. Suppose -71*g - 7 = -72*g + 2*p, -p - 6 = -g. Sort g, k, 2 in ascending order.\nAnswer: k, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2350 + 2365. What is the least common multiple of h and 684?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 51, 103, 191, 327, 523, 791, 1143?\nAnswer: 1591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 5*f = r - 6, 31*f = r + 35*f - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttieifpeie. Give prob of sequence tei.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46\/(-69))\/(6\/6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-4) - 2196\/(-72). Suppose -4*b = 4*f - 428, -4*f = b - q - 404. Calculate the smallest common multiple of 4 and f.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -115766*c**2 - 87*c + 87. Let l(p) = 8269*p**2 + 6*p - 6. Give 6*f(u) + 87*l(u).\nAnswer: 24807*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*y**2 + 2*y**3 + 13*y**2 + (-2*y + 1 - 1)*(2*y**2 - 2*y**2 + 2*y**2).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2108)\/(-248)*(-14)\/7?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 3*s - 12, 8 = -373*s + 375*s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*m - 39 - 35 + 74.\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-256)\/192*(-2 - 65\/(-34)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cebccieevvigbbb. What is prob of picking 1 c and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 2 = -7. Let p be 7\/i*(2 + (-12)\/4). What is the second derivative of -8*y + 5*y + 17*y**3 - p*y**3 + 16*y wrt y?\nAnswer: 60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m = -12*m + 6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1343)\/(-9) - (-12)\/(-54). Suppose -p + 39 = -5*x. Suppose 0 = g - q - x, 4*g + 0*g = -2*q + 76. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -123*u**3 - 5*u**2 - 8*u + 25. Let z(h) = 121*h**3 + 4*h**2 + 9*h - 20. Determine 4*x(c) + 5*z(c).\nAnswer: 113*c**3 + 13*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**4 - 8*f**2 - 6*f + 8. Let b = 13 - 16. Let s(k) = -k**2 - k + 1. Let y(v) = b*j(v) + 24*s(v). What is the second derivative of y(g) wrt g?\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0 - 40. Let o = y + 20. What is the remainder when 57 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**2 - 2*q**2 - 2*q**2 + (1 - q - 1)*(3*q - 2*q + q) + 56*q**2 + 50 - 50 - 21*q**2 - 9*q**2 + q**2 as a + t*q + r*q**2 and give r.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -108 - -107. Let n be o\/((-278)\/140 + 2). Let c = n + 105. 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: What is the thousands digit of 7538?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 151*a. Let n(l) = 3*l. Determine m(n(p)).\nAnswer: 453*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - v + 1. Suppose 0 = 3*c + g - 19 + 31, 3*c + 5*g + 24 = 0. Let s be 6 - (c\/(-2))\/(3\/16). What is j(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/8 (b) 1051\/5 (c) 1\/2 (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2\/3, 4, 2\/5, 19?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41041113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iiiiiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*w + 5*z, -13 = -3*w - 7*z + 12*z. Let g be (-20)\/w + (-6 - -3). Solve 3*f = g*p + 6*f + 1, -2*f - 2 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/25 of a millisecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -177.45 - -178.45. Which is the nearest to 4\/3? (a) o (b) 3\/7 (c) 55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36569?\nAnswer: 13, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2376*h - 1205*h - 1195*h + 713640. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/12*-4*17. Suppose -4*o + w = 2*d + 1, -3*d = -5*o - 2. What is the remainder when d is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, 884710165, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 - 7*t**3 - 180 + 10*t**2 - 16*t**3 + 68*t + 7*t + 22*t**3.\nAnswer: -5*(t - 3)**2*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112 + 21?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**2 + c**2 - 4*c**2 + (5*c + 0*c - 3*c)*(2*c - 5*c - c) in the form u + t*c + r*c**2 and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1217*i**2*p - 103*i*p**3 - 17*p**3 - 2216*p**2 + 4*p wrt i.\nAnswer: 2434*i*p - 103*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 + 2\/3*r**5 + 0 - 2\/3*r**2 + 0*r - 2*r**4.\nAnswer: 2*r**2*(r - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 432 and 90?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -48*d. Let f be a(-1). Let o = f - 99\/2. Let x = -7\/4 - o. Does x = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 25. Let u = i - -25. Let r be 6\/21 - 4\/7. What is the nearest to u in -4, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6787*h + 7060*h = -546 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -9\/2, -12.5, -18\/11, -0.3, 3\/5, -1\/174?\nAnswer: -1\/174","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n - 8*n = 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63795 and 3105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(4235) + sqrt(4235) - (-3*-2*sqrt(4235) - sqrt(4235)))\/(3*-3*((sqrt(5) - 4*(sqrt(5) + sqrt(45) + sqrt(5))) + sqrt(5))).\nAnswer: -77*sqrt(7)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36779 + 16779. What is s rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, q: 1, h: 4, s: 2}. What is prob of sequence hs?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 1167*s**2 + 27*s - 96. Let v(f) = 291*f**2 + 7*f - 24. Let j(r) = 4*h(r) - 15*v(r). What is the second derivative of j(w) wrt w?\nAnswer: 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -16*c**2 + 31*c. Let a(u) = 3*u**2 - 6*u. Let o(r) = -11*a(r) - 2*w(r). Let b be o(4). Solve b*g + 5*g = -25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**3 + 2*p**3 + 0*p**3 + (12 - 3 - 3323*p**2 + 3321*p**2 + 116*p)*(-p - p + p) in the form f*p + m*p**2 + g*p**3 + z and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 23*p. Let c(r) = -4771637*r. Determine a(c(v)).\nAnswer: -109747651*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 436801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -558427.\nAnswer: -558427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 230521605?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/21 - ((-66)\/(-27) - 2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/15*-1 + 1964248\/(-103020)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 h, and 1 j when four letters picked without replacement from abjbahjbbbbhbhabb?\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 288\/24 + -16 + (-36)\/27 + 289\/57\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o*o*o\/(o\/(o**(-15\/4)*o)))\/o)\/o*o)\/o*o)\/o**(1\/19))\/((o\/((o*o\/(o*o**(2\/11)*o*o))\/o))\/o*o**(-2\/11)*o) assuming o is positive.\nAnswer: o**(-365\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*b = -1128, -1947 + 515 = 5*n - 3*b. Let h = n - -386. Calculate the remainder when h is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276772 is divided by 3359.\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*y + 5*w + 15 = 0, 5*y + 2*w = 0. Let g be ((24\/20)\/3)\/(y\/20). Which is greater: 7 or g?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 9*q**2 - 534*q + 30. Calculate l(-19).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 263693374 to the nearest integer?\nAnswer: 16239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 18 = -2*l - 3*p, 22*l - 37*p - 54 = 23*l - 32*p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*i + 5120*a - 5118*a - 25, -2*i = 4*a + 170 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.6, 3, 2238 in descending order.\nAnswer: 2238, 4, 3, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 176 = -k - k, 5*m + 4*k = -892. Let t be m\/21 - 21\/49. What is the tens digit of 13\/(-2)*(t + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**8\/168 - b**7\/105 - b**6\/12 + b**5\/30 + 2*b**4\/3 + 4*b**3\/3 - 14*b**2. Factor f(o).\nAnswer: 2*(o - 2)**2*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -480*s**2 - 35*s + 1456. Let n(k) = -k. What is a(n(x))?\nAnswer: -480*x**2 + 35*x + 1456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0*(-2)\/(-4))\/(-130 - -128). Let n = -13 - -13. Suppose -f + 25 = 2*m, 2*f - 44 = -n*f - 2*m. Solve 2*w = 7*w - l - 9, g = -3*w + 4*l + f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-1*(-1)\/3). Let r be (-2 + 16)*(-3)\/q. Let z be (-4)\/(-14) - 108\/r. What is the highest common factor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1826 divide 32426108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -106\/31 (b) -0.2 (c) 1\/2 (d) -3 (e) 1\/4 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000177547845 to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 199069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 21*h**2. Suppose -2 = 6*i - 320. Let l(j) = -i*j + 86*j - 23*j. Give q(l(v)).\nAnswer: 2100*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 12 = 4*k. Let z be (k - 0) + -1 - -2. Suppose -13 = -2*j + 4*b + 153, -2*b = -z*j + 399. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 60, 97, 130, 159, 184, 205?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*h**3 + 2706*h + 2272*h - 4978*h.\nAnswer: -41*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35050*k - 35050*k - 3*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21028 = -3*l - 2*h, 2*l - 24*h + 18*h = 14026. Is 137 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-26)\/26)\/(0 + 1). Let u be 1 + 5 + (-4 - a). What is the first derivative of -13*j**3 - 6 + u - 7*j**3 + 4*j**3 wrt j?\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 137.4 - 126. Let s = k + -11. Which is the smallest value? (a) -4 (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1532622 divided by -182?\nAnswer: 8421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15080229 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 24. Let i be v(-16). Let o be 290\/8 - i\/32. Let x be (-133)\/(-9) - (-8)\/o. Solve -q - x = 4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 708, 707, 706, 705, 704, 703?\nAnswer: 702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1242*f - 6 = -1241*f, 0 = 4*p + f - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**2 - 62640*u - 125296 = 0.\nAnswer: -2, 15662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -59 and -544 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -176 and -2.\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 - 453*v**3 + 20301*v**2 - 228939*v.\nAnswer: 3*v*(v - 67)**2*(v - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26089?\nAnswer: 7, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(34\/((-21624)\/(-53))*24\/14)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/(-24) - 2\/(-8). Suppose 0 = -y + 5*d + 15 + 7, -g*d + 110 = 4*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n**3 + 168 - 570 + 138 + 123 + 141.\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 5*k - 15. Suppose 2*b = -k*y + 5*y + 242, 2*b - y = 239. Is b a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(704) + -4 + sqrt(704) + 2*(0 + sqrt(704)).\nAnswer: -4 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a37 + -7a375?\nAnswer: -7b0ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12146*k*m**3*q**2 - 6*k*m**2*q + 140*k*m*q - 2*k*q + m**3*q wrt q?\nAnswer: 24292*k*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 43253.296 to the nearest ten.\nAnswer: 43250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of r**2 + 1. Let b(o) be the second derivative of 11*o - 1\/12*o**4 + 0*o**3 + 0 + 0*o**2. Give x(b(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 122.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 - i**3 - 3*i**2 + i**3.\nAnswer: -3*i**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-649)\/1298)\/(((-2)\/10)\/(270\/(-25)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/(-44)*(-1)\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -519*p + 60 = -509*p. Calculate the least common multiple of p and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8614 is divided by 210?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001873259 to 6 dps.\nAnswer: 0.000187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 + 2 + 0 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.731 and 731451578128.\nAnswer: 731451578128.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 673287866 take away 1842?\nAnswer: 673286024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/(m**6\/m)*m)\/m*m)\/m**(-1)*m**(-2\/17)\/(m\/((m*m\/(m\/(m\/m**(-4))))\/m)))**(4\/5) assuming m is positive.\nAnswer: m**(196\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g + 14*g = -36 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -2*n**3\/3 + 265. Let y = 2 + 1. Let x(h) = -y*h + 2 - 2. Determine x(i(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((5*(sqrt(567) - sqrt(567)*-1) - (sqrt(567) + (sqrt(567) - (sqrt(567) + 0)))*3) + ((2 + sqrt(567))*3 - (sqrt(567) + -1)*-1))**2.\nAnswer: 990*sqrt(7) + 68631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77972879?\nAnswer: 77972879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -519711 = 5*u + 4*u - 3759540. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356*l - 20171000 = 331*l. Round l to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 8, x: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 12, 4*f + k - 16 = 6*k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.45 + 0.25. Suppose -x - 3*x - 4 = 0. Which is the closest to -0.3? (a) x (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -49. Suppose -44*v + 28*v = -96. Calculate the remainder when i is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3648*h = 5290*h + 688226 for h.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**7\/280 + v**6\/30 - v**5\/8 - 11*v**3\/6 - 10*v**2 + v. Let a(h) be the first derivative of w(h). Factor a(q).\nAnswer: 3*q*(q - 1)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62568?\nAnswer: 2, 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18613.\nAnswer: 7, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10293 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -9 + 54. Let a = 15 - z. Suppose -9 = -2*v + t, -3*t - 6 = -v + 1. Solve -4*j + 2 + 2 = -v*k, 3*j - k + 7 = a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + g + 144. Let w be (-3 - g\/3) + 835. Suppose -x + 694 = 3*x - 2*d, 0 = -5*x - 3*d + w. List the prime factors of x.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 315 + 24 + 17*o**3 - 82 + 50*o**2 - 52*o**2 with respect to o.\nAnswer: 51*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 66*7\/728 + (-7)\/28. Put 0.3, y, -5 in decreasing order.\nAnswer: y, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183 - 183 + 137*a**2 - 80*a**2 - 88*a**2 - 34*a**2.\nAnswer: -65*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6218800 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.115 in -1\/32, 1, 14?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*o - 2*f + 1 = -112*o, 4 = -2*o + 3*f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1500033 + 0.15. What is i rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9.5 (b) -4 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5 + 10*g**4 + 732*g**3 - 4968*g**2 - 132192*g + 559872 = 0. Calculate g.\nAnswer: -18, 4, 18, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(7\/70*-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (-29 - (6 + -3)). Suppose -q = 5*x + 5*v, x - 2*v - 3*v = 0. Let l be (-8)\/x*45\/6. Solve -2*j + 6*j = -l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 100*v**3 + 25*v**4 - 100*v**3 + (-3*v**2 + 4*v**2 - 2*v**2)*(194 - 11*v - 194)*(-2*v + 3 - 3).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 6*z**2 + z + 6. Let q be c(-6). Suppose -5*y = -k + 19, 4*y = -12 - q. Let m(s) = -s + 3*s + k*s - 5*s. Let b(r) = 2*r**2. Determine b(m(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45616 - -5?\nAnswer: 45623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aahcahatf. What is prob of sequence ac?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 332857.\nAnswer: 2\/332857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21205759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.89 * -10.\nAnswer: -18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-2))\/(-1 + 0). Suppose 5*b - c = s, -b + c - 3 = b. Suppose 2*f - 5*f = 4*a - 5, 0 = 5*a - 2*f - 12. Solve b = -a*h - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 1413880248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - (8 - (2 + 1)). Suppose 0*y - 5*s = -y - 5, -2*y - 4*s = -4. Is 3 - (-29 - y - d) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 1. Let z = -238 + 232. Let n(k) be the first derivative of k**3\/3 + 4*k**2 + 6*k + 2. Calculate z*r(i) + n(i).\nAnswer: i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 96067921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 12*b - 10. Let t(m) = 33517*m**2 + 33501*m**2 - 66998*m**2. Determine r(t(u)).\nAnswer: 240*u**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence egg when three letters picked without replacement from eeeghgeghgege?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 688779 and 2562.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 divided by 43.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j - 3 - 6 + 10*j - 7 wrt j?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**13\/(l**(-19)*l))**(-16))**13 assuming l is positive.\nAnswer: l**(-6448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 6 = 3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 1445.\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o + 1. Let v be r(-4). Let z = -12 - v. Let p(a) = 2*a + a**2 - 9*a + 1 - 2*a**2. What is p(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444 = -l + 4*g, -5*g = -0*g + 25. Calculate the remainder when (-108)\/(-702) - l\/26 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2871.1*0.099\nAnswer: -284.2389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/11082 and -3\/14.\nAnswer: 77574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23581 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 15443033 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**3 + 24*y**3 + 12*y**3)*(12*y**2 + 10*y**2 + 7*y**2).\nAnswer: 899*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u**2. Let g(k) = -13*k. Let f(v) = -13*v. Let y(l) = 3*f(l) - 2*g(l). What is y(r(z))?\nAnswer: 65*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8216757.\nAnswer: 3, 912973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 251443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222112 (base 3) in base 11?\nAnswer: 16a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**4\/4 - 7*a**3\/3 + 3*a**2 - 5*a - 5. Suppose 16 = p + 10. Give w(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 309, 618, 927, 1236?\nAnswer: 1545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20\/31290921 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1294 + 2214. What is the highest common divisor of c and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36 and -0.022.\nAnswer: -0.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 268 = 4. Is m a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.8 in -0.08, 0.4, -1\/9, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-8)\/(-40)*22\/(396\/(-54))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 114 + 11*g**3 - 61 - 55 wrt g?\nAnswer: 33*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190618877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13, -36, -59, -82?\n\"Answer: -23*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m + 23 = -2*w + 8*m, -4*w - m - 19 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 119, 197, 271, 341?\n\"Answer: -2*g**2 + 84*g + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 0. Let k = -75.6 + 71.6. Let w = 1 - 4. Which is the nearest to -2\/3? (a) x (b) k (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 36. Suppose 2*y - 244 = -w*b, 35 + 459 = 4*b + 2*y. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 11:54 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 300 and 7044.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 249 - -333006?\nAnswer: 333255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.09 (b) -5 (c) 2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3629 = 2*g, -3*o - 4*g - 437 = 3188. Let d = o - -1706. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1090 is divided by 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/74904 and -57\/4669016.\nAnswer: 14007048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 265032 and 168?\nAnswer: 1855224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v + 46. What are the prime factors of v?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -940944 divided by -4\nAnswer: 235236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8 - 3)\/(-5)*177. Let o = -119 - n. Let q = o + -53. Solve 3*d + 16 = -q*r, -2*r - 24 = r - 3*d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 91\/4 of a litre?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*p = -p - 2, p = 3*u - 7. Suppose -t = -5 - u. Suppose 3*m = 5*c + 76, -5*m + 54 = -3*m - 4*c. What is the remainder when m is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17373971 divided by -1009.\nAnswer: 17219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 63*a**2 - 26*a + 26. Let l(k) = 31*k**2 - 12*k + 12. Let m(q) = 13*l(q) - 6*u(q). Let t(s) = 47*s**2. Determine m(t(c)).\nAnswer: 55225*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3643, 3687, 3729, 3769, 3807, 3843, 3877?\nAnswer: 3909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55610 is divided by 381?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-10) + 54\/5. Suppose 0 = 20*r - 1034 + 914. Solve 9*u - c*u + r = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17357 + 17357.2. Which is greater: 3841 or n?\nAnswer: 3841","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1212554 = 1\/88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*q + 2, 5*o - 6*o + 5*q = 6. Suppose -1 = s, -o*r + 3 = 3*s - 30. What is the first derivative of -8*h - 3*h + 1 + r*h wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4 + 1624*u**3 + 102302*u**2 - 2815204*u + 2711280 = 0 for u.\nAnswer: -78, 1, 20, 869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 2*d + 52 = 0. Suppose d*k - 10*k - 108 = 0. What is the tens digit of ((-772)\/6)\/(4\/k*-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42239 take away -0.187839138?\nAnswer: -42238.812160862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 11\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from stytttsyt.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g. Let q(n) = -338*n**2. Determine b(q(u)).\nAnswer: 338*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1019?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z - 7*r + 16 = -11*r, 3*z - r = -5 - 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 221 - 883\/4. Let x(l) be the second derivative of -5*l + 0*l**3 + 0 - d*l**4 + 0*l**2. Let b(p) = -2*p. What is b(x(i))?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, o: 1, x: 2, z: 3, m: 7}. Give prob of picking 1 y, 1 o, and 2 z.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-15) + (-29)\/(-3). Let y = -10 + t. Which is the third biggest value? (a) -1 (b) -3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 34, -87, -2.\nAnswer: -87, -2, -1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7865*w + 31390. Determine y(-4).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (1 + 2)\/3. Suppose -i = -l*h + 10, 3*i + 2*h + 2 = 12. Which is smaller: 0.16 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 3:57 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 10*w**2 + 68*w + 540. Give t(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f - 8. Let z be k(7). Suppose -2*v + 70 = -0*v. Suppose 3*w + 8 = v. What is the greatest common factor of z and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**4 - 74*w**2 + 3*w**3 + 157*w**2 + 2*w - 1 - 83*w**2 to t*w**3 + s*w**2 + u + j*w + k*w**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -155 + -81431?\nAnswer: -81586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*(sqrt(242) + -1)*-3 - ((0 + sqrt(242))*-4 + -1)))**2.\nAnswer: -1100*sqrt(2) + 24225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = -2*p - 86 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a**2 - 10*a**3 + 9*a**3 + 7 + 2*a**3 - 4*a. Let n be p(-7). Let u = 19 + n. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 - 9*h**2 - 4*h - 1. Let b = -17 - -11. Is n(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 351421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.853310076 rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13 > 9884?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 42 - 9*g**2 + 12*g + 6*g**2 + 4*g**2. Is x(-3) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -34*t**3 - 3*t**2 - 3*t + 13. Let f(n) = 69*n**3 + 5*n**2 + 5*n - 24. What is 5*a(h) + 3*f(h)?\nAnswer: 37*h**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(1 + (-4)\/(-60)*-14). Let l = -4 + k. List the prime factors of l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2119\/6 + 356. Let m(z) = z**3 - z**2 - 40. Let u be m(0). Find the common denominator of c and ((-12)\/u)\/((-6)\/14).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/2)*s*s)\/(s\/s**(-1\/11)))\/((s*s**2*s)\/((s*s**(-2))\/s)) assuming s is positive.\nAnswer: s**(-123\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2504c - 8d5?\nAnswer: 24777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*m = 65*m - 23 - 3. Which is smaller: m or 44\/329?\nAnswer: 44\/329","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-170)\/(-44)*-1 - -4. Sort o, 2, -1\/2.\nAnswer: -1\/2, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(-z**5 + 4*z**5 - z**5) + 10*z**5 - 9*z**5 - 7*z**5.\nAnswer: -4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (374\/(-176) + (-3)\/(-24))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21429, 171334, 578197, 1370496, 2676709, 4625314, 7344789, 10963612?\n\"Answer: 21413*y**3 + y**2 + 11*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4*9\/(-24))\/(-14*15\/(-350))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439556074 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 28641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 306 - 306. Solve r = 3*f + 7 + 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-10)*(2 - 68\/24)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103083200 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -10347, -5, 1, -25 in ascending order.\nAnswer: -10347, -25, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14092 and 359888.\nAnswer: 4678544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/(-3) - (-5)\/15. Let d(f) = -11*f + 3. Let r be d(p). Suppose -t - l + 128 = 0, 5*t - 740 + r = -l. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -5. Let k(h) = -h**3 - 8*h**2 - 2*h - 11. Let d be k(-8). Suppose 4 + 0 = -5*z - 3*r, -r = 5*z - 2. Solve n = f - d + z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4851509 (base 10) to base 8\nAnswer: 22403465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w - w - w + (3*w - 4*w - w + (5 - 3 + 0)*(-2*w + 2*w - 10*w))*(-2 + 5 - 2).\nAnswer: -19*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -500 divided by -125?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3922 and 73324228.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/55156 or -1?\nAnswer: 5\/55156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -68190 divided by 15\nAnswer: -4546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-106 - -107)\/((-1)\/(-3)). Solve 20 = -4*v + 2*o, m*o + 2*o + 15 = -3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 3:43 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/6)\/n**0*(n**0*n)**(-36) assuming n is positive.\nAnswer: n**(-217\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrsrrbbrrrqqlrsl. What is prob of sequence rb?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u = -21*u + 1, -5*j = u + 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1100001?\nAnswer: -1100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*l**2 - 5*l**2 + 2*l**2 + 40*l**5 wrt l?\nAnswer: 2400*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 3*l = 3174 - 3145, 2*r = -4*l + 22 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*g - 26. Let t be 44\/g - (0 + 3). Which is the second smallest value? (a) t (b) 1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 1:09 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 683 and 10.99.\nAnswer: 693.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 672 and 48.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 134*z. Let s(g) = -7*g. Let q(h) be the second derivative of -h**3 + 17*h - 1. Let f(k) = -6*q(k) + 5*s(k). Give p(f(v)).\nAnswer: 134*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15700266 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-22) - (5\/2 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from kkkeeekkir?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 23*n**3\/6 + 11*n**2 - 23*n. Let a be w(-12). Round a to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 27 = 3*b + u, -2*u = -5*b + 66. What is the highest common divisor of b and 3756?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 516.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen quarters of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**3 - 4*f**2 + 2*f**3 + 2*f - 2*f**3 - 4*f**3 + 1 - 10*f in the form w*f**3 + v + u*f**2 + n*f and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27 + 19?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 - -42. Let n be (-1 - (b - (1 + -3)))\/1. Suppose -7*c + 2*c + 560 = n. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 189.4 + -189. Which is the nearest to -2\/15? (a) 0 (b) 0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11285?\nAnswer: 5, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 0. Let j = a - -2. Suppose -3*y + 0*g + 47 = 4*g, -j*y = -2*g - 48. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58500 by 5.\nAnswer: -11700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 505 = 4819. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 7*n**2 + 7*n + 9. Let f be x(8). Let p(v) = 0 - f + 5 - 16*v. Let a be p(-3). 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: Let o(d) = d**2 - 2*d. Suppose 0*x = x - 2. Suppose -x*h - g = h - 15, 9 = -3*g. Let t be o(h). Solve 0 = -4*v + t - 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 130*k**2 + 766*k - 114. Is r(-105) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9.981 (b) -0.5 (c) -12.5 (d) 0.4 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -804 in -10, 3\/5, 5, -0.4, 0.2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -580*d - 27. Let l be (-3 - 0) + 4 - 54\/6. Is i(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 21*h. Let c(o) = -3*o**2 - 2*o - 4. Let l(r) = 6*r**2 + 5*r + 10. Let k(u) = 5*c(u) + 2*l(u). Calculate k(w(d)).\nAnswer: -1323*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 429.3 + -400. Let t = -28.9 + k. What is the third biggest value in -4, -0.5, -0.03, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 12:30 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.335 take away 170.42?\nAnswer: -170.755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 2*w**3 - w**3)*(134867 - 330412 + 163156).\nAnswer: 32389*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18*8\/((-48)\/(-10)). Calculate the highest common factor of 240 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -126, -251, -374, -495, -614?\n\"Answer: w**2 - 128*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196904 by 59.\nAnswer: 196904\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a - 9. What is n(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 + 13 + 2*h**3 + 26*h**5 - h**2 - 28*h**5 + (0 + 3 - 1)*(2*h**5 - 4 + 4) - h**5 + 2*h**4 - 2*h**4 + 3*h**5 - 2*h**5 - 3*h**5.\nAnswer: -h**5 + 2*h**3 - h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 12. Let o(f) be the second derivative of f**4\/6 - 2*f**3 - 19*f**2\/2 - 81*f. What is the units digit of o(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 645 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*g**2 + 65*g**2 + 3 - 17 - 85 in the form s + p*g + w*g**2 and give w.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18892211677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -13021712727 + 0.198\nAnswer: -13021712726.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15463, 30927, 46391, 61855, 77319?\nAnswer: 92783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.119 - 4.119. What is the nearest to 6 in t, -2\/3, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 5*m - 2. Is 16 a factor of y(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 848 and 82998.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 44*k + 6*k**2 + k**3 - 2 - 52*k - 13*k**2. Let j = -7 - -15. Give a(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -r**3 - 2*r**2 + 1741*r + 34026?\nAnswer: -3*r**2 - 4*r + 1741","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (3 - (4 + 0)) - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(10032\/144))\/(-1).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and 16425168686696.\nAnswer: 16425168686695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 207535?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 465312 and 8072?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -8, -0.2, 2\/15, 1\/7, 3\/2, 5\/71?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3304251 + -1?\nAnswer: 3304250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5049)\/5610)\/((-1)\/(-10))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, o: 2}. Give prob of sequence oeee.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9306 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 396066 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -0*h - 72. Solve 0 = -7*g + 3*g - h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*d**2 + 47 - 47)*(-1 + 1 - d).\nAnswer: 64*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -976*l = -48*l + 109504 for l.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187500759 divided by 3.\nAnswer: 62500253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + ((-16)\/(-2) - 14\/(-14))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2342?\nAnswer: 2, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -25*w**2. Let c(k) = -15*k**2 - 10*k + 10. Suppose 23*s = 282 - 52. Let t(r) = -5*r**2 - 3*r + 3. Let z(l) = s*t(l) - 3*c(l). Give z(i(f)).\nAnswer: -3125*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6044, -24872, -56248, -100172, -156644, -225664, -307232?\nAnswer: -401348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**5\/60 - m**4\/3 - 25*m**3\/3 - 6*m**2 - 54*m. Determine c(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)*1)\/sqrt(3))\/(3*sqrt(63)).\nAnswer: sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 29 = -337*n + 338*n, -w + 3 = 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 358 + -359. What is the nearest to -1\/10 in -3, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -2. Suppose -i + 10 + 1 = o. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4\/7, -2\/7, 4, -10?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4283163 millilitres in litres?\nAnswer: 0.0004283163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7547 (base 10) in base 11?\nAnswer: 5741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6723515?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 33*a - 10. Let m be (-24)\/18*18\/(-4). Let g be w(m). Calculate the common denominator of g\/64*2 - 3 and -33\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**4 - 3*w**3 - 2*w**2 + 3*w - 3. Let u(s) = s**3 - s + 1. Suppose -5 = p + 3. Let k = p + 9. Let i(g) = k*d(g) + 3*u(g). Let i(q) = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 2*q - 78. Let f = q - 23. What is the remainder when 30 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47245465 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-252)\/90 + 3 + (-6918)\/(-10) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 12:36 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, b: 4, h: 4, z: 4}. What is prob of sequence zzhb?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -115772748 divided by 546?\nAnswer: -212038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1358770)\/8673)\/((-10)\/6).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {b: 2, v: 2, e: 2, q: 1, h: 1, x: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -177\/5 - -36. Is 0.1 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((-138)\/(-276)*(-26)\/3 + 2)\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 4*a - 5*t + 26, a = 4*t - 19 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 78728*o - 14249773. Give s(181).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -105, -1105, 89 in increasing order.\nAnswer: -1105, -105, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (3 + 4\/2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 8*n**2 + 8*n + 7. Let v be d(-7). Suppose -10 = -v*u + u. Let t = u - -6. What is the third smallest value in 0, -2\/7, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1\/g)**3*g**(-4)*g**(2\/21) assuming g is positive.\nAnswer: g**(-82\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 27. What is the lowest common multiple of 2 and (2 + f\/(-10))*35?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2284407 is divided by 2284003?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11263 (base 9) to base 12.\nAnswer: 4419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/44*18\/(-27). Suppose 3*i = -34 + 88. Let u be 0 - (i\/(-14) - -1). Are a and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93684596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5870 is divided by 1231.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -714 - 136*z + 68*z + 58*z.\nAnswer: -10*z - 714","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1347 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(1700))**2.\nAnswer: 27200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ood when three letters picked without replacement from {o: 7, d: 4}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/5*5*-2. Let t(f) = -f + s - 2 + 0. Give t(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5448708.9 nanoseconds to hours.\nAnswer: 0.00000151353025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (49\/21 + 7)*27\/90\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18, -76, -198, -408, -730, -1188, -1806?\n\"Answer: -4*x**3 - 8*x**2 - 6*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (136\/(-10))\/((-2)\/3300*10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - 25.2. Let q = x - -20. Which is the second biggest value? (a) q (b) 1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -573*m**3 - 578*m**3 + 1155*m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2818 >= -2817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 1221558?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/151 - 159\/604. Let k = -56 + 56.46. Let l = -0.06 + k. What is the closest to x in 3\/7, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2679396 rounded to the nearest one thousand?\nAnswer: 2679000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 3*s - 23, 0 = 5*s + z - 34 + 3 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**3*v**2 + 1252*q**3*v - 3*q**2*v**2 + 2*q*v**2 + 67*q*v wrt q?\nAnswer: -6*v**2 + 7512*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 35?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -5 (c) 2 (d) 0.317\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h - 90 = -36 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k + 31. Let c be j(-8). Let h be 4\/10*(-1)\/c. Suppose -2\/5*s**3 + 0 - h*s + 4\/5*s**2 = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m*o**3*w + 63*m*o**2*w + m*o*w - m*w + 133*m - 5*o**2 - o*w wrt o.\nAnswer: 6*m*o*w + 126*m*w - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*c = 2*x - 6*x - 119*c - 40, -5*c - 35 + 3 = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415*l**2 + 78213132 - 78213132.\nAnswer: 415*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p. Let o(j) = 9*j. Calculate d(o(r)).\nAnswer: 36*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 283, 958, 2089, 3676?\n\"Answer: 228*n**2 - 9*n + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 18 = -5*s - 7, i + 2*s + 4 = 0. Let v(t) = -t**2 - 11*t - 6. Let z be v(i). Solve k = -z*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 - -2a179?\nAnswer: 2a18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/8 + 21\/(-28). Let v be 21\/(-2) + r\/2. Let x(w) be the second derivative of -w**3\/6 - 4*w**2 - 51*w. What is x(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.15 - 0.15. Which is the fourth biggest value? (a) m (b) 15 (c) 2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2030043 (base 6) to base 5.\nAnswer: -11102402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1230\/11 - (-16)\/88. Let d = o + -8. Let r(s) = 3*s**2 - s - 4. Let g be r(-3). Calculate the highest common factor of d and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -55527311265 and 0?\nAnswer: 55527311265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 54*h + 7724. Let y be m(-143). Let c(d) = 11*d - 20. Calculate c(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -836 - 1712 = -13*i. Let n = -106 + i. Suppose z + 4*t - 18 - 6 = 0, 3*z = -3*t + n. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o*o\/o**44*o)\/o))**(-1\/27)*o**38*o**(-1\/10))**36 assuming o is positive.\nAnswer: o**(19606\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 6*y - 6. What is n(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-4)\/14 - -2. Which is the nearest to 1? (a) 1 (b) 4\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14857*z**4 - 15520 wrt z?\nAnswer: 59428*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -21 - 3\/(-3)*1. Let x be 8\/g - 13\/(-20). Put 2, 0.2, x in decreasing order.\nAnswer: 2, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (10 - (-5 - -10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1311*t + 10160 = 2225*t - 1549*t for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -789260 divided by 312?\nAnswer: -197315\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 20*s - 5 = 0. Suppose 21 = -s*o + 2*o. Let p be (-140)\/16 + 18\/24. Which is greater: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-468)\/92 - -4*(-2)\/(-92). Sort -2, -4, -1, f.\nAnswer: f, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 2)*(3 - 2 + 1) - 3 + 5 - 19)*(t - 6 + 3 + 2).\nAnswer: -19*t + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.042 * -13745\nAnswer: -577.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (2 - 1) - -4. Let s be ((-6)\/m)\/((-12)\/16). Suppose -s = -2*k - 0. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 2*p**3\/3 - 3*p**2\/2 + p - 92. Let m = -2 + 5. Calculate n(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 530 - 539. Let x be (2772000\/27)\/10*o. What is x rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/8 (b) -0.11 (c) -4.45 (d) 8 (e) -2\/7 (f) 0 (g) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -15, -4*l - 110 - 56 = -m. What is the remainder when m is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 653?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (1 - -3) - 6) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in -5, -2\/7, -0.15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*h + 4*b, 4*h + 2 - 3 = b. Let y be -3 - (0 - h - 202). Calculate the highest common factor of y and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 519 or -8\/3?\nAnswer: 519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 divided by -24?\nAnswer: -37\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/2 - 3*s**2\/2.\nAnswer: -3*s**2*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -30 + (2 - 3) + (-8 - -8). Let w = b - -31. Suppose 4*s + 4*y - 168 = 0, w*s + 2*y + 126 = 3*s. Calculate the highest common divisor of s and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3319759 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h - 2 - h + h**3 - 5*h**2 + 0*h + 5*h. Calculate d(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.19604 litres in millilitres?\nAnswer: 6196.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-14)\/(v**(-9)\/v) assuming v is positive.\nAnswer: v**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 158 + -140. Let p(k) = 24*k**2 - 18*k + 18. Suppose 0 = -x - 2*v - 5, -2*x + 32*v - 28*v = -30. Let r(m) = -7*m**2 + 5*m - 5. What is n*r(c) + x*p(c)?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 2*t - 5 + 5 - 2. Let x be h(-4). Suppose 0 = -x*m - 2*m + 100. Calculate the remainder when m is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 523?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*c - 1232 = 132*c - 6930. Solve -432*q = -443*q + c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*k + 18, -6*i + 11*i - 4*k - 27 = 0. Put i, 6, 0 in descending order.\nAnswer: 6, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*-40*225\/13500.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**3 - k + 13 + k**2 - k**3 - 10*k**2. Let j be i(9). Suppose 2*d = j*d. Solve 3 + d = -3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 92*k**2*w**3 + 11*k**2 + 11 wrt w?\nAnswer: 276*k**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 54 = 6*j. Suppose -120 = j*b - 813. Calculate the remainder when b is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 136867507 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119394 by 2211.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 78 = -22*s. Let a = -24 - s. Calculate the least common multiple of a and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - p - 40. Is (1282\/5)\/((-4)\/p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*y**3 - 4088*y**2 + 2047*y**2 + 2041*y**2 + 167*y**3 - 78*y**3.\nAnswer: 354*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 379392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000051694 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 0*u**2 - 2\/3*u**3 + 0*u + 4. Let m(p) be the second derivative of p**3\/6 + p. Determine w(m(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 506330.\nAnswer: -506330.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21960 equal to 21955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -25*l**3 + l**2 - 9*l + 3. Let u(v) = 2*v**3 - 2*v**2 + 2*v + 1. What is -h(a) - 3*u(a)?\nAnswer: 19*a**3 + 5*a**2 + 3*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(-8)\/48*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0058678 centuries to millennia.\nAnswer: 0.00058678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 7*d**2 - d + 595. Let h be f(0). Suppose -h*k = -593*k - 8. Solve 2*v = 4*v + 4*i - 22, 3*v + 7 = k*i for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.2, 0.12, -1 in decreasing order.\nAnswer: 2, 0.12, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12004 - 11?\nAnswer: -12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11122220221122 (base 3) in base 7?\nAnswer: -30032063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 31 + (-9 - -1) + 5. Suppose 35*v - j*v - 126 = 0. Solve 4*p + 0*p = -o + 17, 3*o + p - v = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/37 or 10451079?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from weooewwewwwowwew. Give prob of picking 1 w and 2 o.\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000133465 to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from pnpnnxppcmp.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 t when three letters picked without replacement from tnwwntjjwjqjwqy?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 - 84. Suppose -2*t - 3*y = -j, 3*t + 4*y - 6 = -y. Calculate the smallest common multiple of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.009 in -22802, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -76 - (143 - (-125 + 334))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, 4, -3, 6.\nAnswer: -84, -3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 - -54. Solve -3*o + o - 2 = 3*t, 2*t + o + x = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**5\/24 - b**3 - 10. Let t(j) be the third derivative of m(j). Let o(z) = 2*z**2. Determine t(o(l)).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -41*s**2. Let d(m) = 11*m**2. What is b(d(t))?\nAnswer: -4961*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 13.2. Let t = -1.8 + j. Let x = -135 + 135. Which is the closest to t? (a) 5 (b) -25 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14887793?\nAnswer: 83, 181, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110 - 68. Suppose 2*o + 3*n - 14 = 0, 0 = -21*o + 23*o + 2*n - 12. What is the lowest common multiple of o and y?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 309744*h**2*r**3 - 162*h**2 + 9*r**2 wrt r?\nAnswer: 1858464*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 386 = 251. Calculate the greatest common divisor of t and 246.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58*1542.\nAnswer: 89436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2085\/231 + -13 + (12 - 8).\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r - 5. Let u(m) = -5*m + 6. What is -3*q(p) - 2*u(p)?\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481578598.\nAnswer: 2, 19, 12673121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 3. Let r(g) = -g**2 + 12*g - 85. Let h(v) = -7*c(v) - r(v). Determine h(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 4:44 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, v: 4, f: 2, j: 1}. Give prob of picking 2 t and 2 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/2560 and -79\/239432.\nAnswer: 76618240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0049 + 210.9951. Let r = y + -211.3. Which is the third biggest value? (a) r (b) -16 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3 = -5*x. Let o(i) be the third derivative of -i**5\/12 + i**4\/6 + i**2 - 6. Let r(y) = -y**2 + y. Determine x*o(t) + 4*r(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113101, 226190, 339267, 452326, 565361?\nAnswer: 678366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/27 - 50\/144. Let t be 2 + (4 - (0 - -2)). Suppose 5*u = 2*g - 10, 20 = -3*u - u + t*g. Is u <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.24 - -5.2. Let r be (324\/45 - 7)\/(-1). Which is the fourth smallest value? (a) 0.4 (b) 13 (c) n (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 2*g**5\/35 + 11*g**4\/14 + 20*g**3\/7 + 59. Factor h(o).\nAnswer: 2*o**2*(o + 5)*(o + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4882808*p**3*x**3 - 2*p**3*x**2 + 3*p**3 + 14*p**2*x**2 + 9*x**2 + x wrt x?\nAnswer: 29296848*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006891053 rounded to five decimal places?\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*5\/((-1)\/(-1)). Suppose -2 = -2*b + 4. Let x be ((-5)\/(-10))\/(1\/4). Solve -x*u - s = b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 225*a**2. Let m(k) = 2*k. Determine z(m(b)).\nAnswer: 900*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 1550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2730 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 484 - 417. Suppose -3*r - 1 + 27 = 2*x, -3*r + x = -32. Calculate the remainder when u is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14073 and 609?\nAnswer: 2856819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12984337169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b + 283. Calculate the remainder when t(-26) is divided by 47.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*f - 88*f = -30 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21 + (0 - 2) - -4. Let p = 142 - d. List the prime factors of p.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2325.7 + -0.05?\nAnswer: 2325.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/(-608) + 525\/285.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -769, -1542, -2317, -3094, -3873?\n\"Answer: -j**2 - 770*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*l**3 - 26*l**3 - 6*l**3 + (3*l**2 + 3*l**2 - 5*l**2)*(2*l + 4*l - 2*l) to the form c*l**3 + u*l**2 + w + h*l and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -156.9 - -166. Let z = 9 - m. Let c be -7 + -3 + (-174)\/(-18). What is the closest to c in z, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/24*(-20)\/(-3)*(-2)\/(-10).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a kilometer in meters?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22\/3 - 37. Let t = 27 + -57. Let m = v - t. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/6)\/((-8)\/(-36)). Let z(f) = -f**2 + 8*f - 9. Let b(q) = -q**2 - 5*q + 3. Let m be b(-4). Let y be z(m). Is y < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 74*h - 14 = 72*h, -6*s + 2*h + 4 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*g**2*p**3*y*z - 2*g**2*p**3*y + 2*g**2*p*y + 3*g*p**2*y*z - 22*p**3*y wrt z.\nAnswer: -24*g**2*p**3*y + 3*g*p**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d**2 - 21*d - 39. Let f(j) = -5*j**2 - 21*j - 47. Calculate -5*f(a) + 6*n(a).\nAnswer: -5*a**2 - 21*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -447 - -9?\nAnswer: -439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1231 + -1224. Let g(a) = 2*a**2 + 7*a + 4. Let b(d) = -3*d**2 - 14*d - 9. Let y(v) = -3*b(v) - 5*g(v). Calculate y(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/44*(-364)\/1274?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619*z - 18027 = -10628 + 18599 for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**3 + 46*u**2 + 59*u + 306. What is o(-22)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26.2 - 192.2. Let n = -166 - p. What is the fourth biggest value in 2, n, 0.3, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/162*12*(1\/2)\/1.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3 = -0*r + i, 0 = 4*r - i + 3. Suppose -l - 2*l - 15 = r. Let o(h) = -h**3 - 4*h**2 + 6*h + 5. Let s be o(l). Solve -4*k - k - 15 = s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2*(-120)\/(-36). Let z be (-2)\/(-3) - (-252)\/27. Suppose n = -n + z. What is the greatest common divisor of n and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -6 + b - 4 + 0*b. Let v be k(10). Solve v = -x - 2*g - 6, 2*x + g = -0*g - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n - 15. Let y be h(6). Let s(p) = -4*p - 3. Let z be s(y). What is the units digit of 4\/8 - z\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -0*j - 2*j. Let m be ((-3990)\/j)\/((-2)\/1101). Let p = 144055 - m. Round p to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 13195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 516 and 229362.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65540.23 litres to millilitres.\nAnswer: 65540230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and -0.06.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1, -2\/7, 2.243 in decreasing order.\nAnswer: 2.243, -2\/7, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141.0427 millimeters to centimeters.\nAnswer: 14.10427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81985788.\nAnswer: 2, 3, 2277383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y - 4 + 4 + 2*y + 3 - 3 - y + y + 2*y + (y + 0*y - 2*y)*(1 - 4 + 1) - 2*y + 2*y - 2*y - 3*y + 8*y + 0*y + 0*y + 2*y - y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7717 + -7716. Let r be 27\/(-9)*4\/(-30). Let y = 1 - -2. Which is the nearest to r? (a) y (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4444, 30, -1\/2, -0.3, -2\/3?\nAnswer: 4444","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -24776630 rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 116 (b) 0.16 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2*-97\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a millimeter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2 + 1027*h - 3072 = 0. What is h?\nAnswer: 3, 1024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 12*o**2 + 8. Let b be y(12). Suppose i - b = -3*v + 4, 3*v = -4*i + 12. Factor 6\/7*u - 2*u**3 - 6\/7*u**v - 6\/7*u**2 + 4\/7.\nAnswer: -2*(u + 1)**3*(3*u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1302494.\nAnswer: 2, 651247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-32)\/(-5))\/(2\/50). Suppose 0 = y + 5*g - 0*g - 123, -3*g - 446 = -4*y. Let h = b - y. Which is smaller: h or 48?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -5 - 1) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30925 is divided by 1901?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((4 - 0) + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from feenteeektetfneftn. Give prob of picking 1 k, 1 e, 1 f, and 1 t.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2385.8693 + -2386. Let u = -1.1673 + r. Round u to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-6))\/((-3)\/(-42)). Let a be (-32)\/(-7) + 3\/t. Solve -a*y = 5*m - 40, 4*y - m - m = 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -0.11403?\nAnswer: -0.11403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3241 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/30*(-56)\/21*(-5)\/(-8). What is the smallest value in 2\/3, 4, d, 21, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7016166578110 + 3\nAnswer: 7016166578113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(42)*3)\/(sqrt(294)*1))**2 - (sqrt(77)*1*5)\/(sqrt(1584)\/sqrt(4)).\nAnswer: -5*sqrt(7)\/6 + 9\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/(-28))\/(-3 - 20\/(-7)). Let o be (-2)\/3 + (-33)\/(-9). Put 2, x, o, -4 in increasing order.\nAnswer: -4, 2, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**2 - 693*j - 5352 = 0. Calculate j.\nAnswer: -223, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.3 (c) 17 (d) -32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 122 + -56. What is the tens digit of (40\/8)\/(3\/k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 19 = -5*l, 2*l - 4 = -28*d + 30*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c**3 + 108*c**3 + 93*c**3 - 265*c**3 + 91*c**3.\nAnswer: 17*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**2\/w**(2\/27)*(w**(-4))**(-42) assuming w is positive.\nAnswer: w**(4588\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3\/4*q**2 + 0*q + 108 = 0.\nAnswer: -12, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1722324858 to the power of 1\/5, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 14*i. Suppose i = -4*j + 18 + 106. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 522397 to the power of 1\/2, to the nearest integer?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 13*w**4\/4 - 7*w**3\/3 - 13*w - 323. Let u(i) = -9*i**3 + 5*i**2 + 9. What is 5*f(q) + 7*u(q)?\nAnswer: 2*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a5715 (base 11) in base 15?\nAnswer: -c8b71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/103, -0.03, 4, -2\/11, -177?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -199 (c) 4\/5 (d) -3\/151\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -103 + -72. Let z = s + 175. Which is the second biggest value? (a) z (b) 0.03 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67*2169.\nAnswer: -145323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 24 + 29)*(6*q**2 + q - q) + (2*q - q + 0*q)*(-5*q + q + 3*q) to the form y + k*q + f*q**2 and give f.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2785.198g to kilograms.\nAnswer: 2.785198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28083, 28101, 28119, 28137?\n\"Answer: 18*w + 28065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 155 = 41*n. Solve 13 = 4*k - 10*s + n*s, 2*k - 2*s - 4 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**5 - 524*j**4 + 1101*j**2 wrt j.\nAnswer: 60*j**2 - 12576*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4905 = -3*c, -4*x - 97*c + 4835 = -80*c. Calculate the remainder when x is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 962 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 23*q - 1. Suppose 20*m - 37 = -17. Give f(m).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11.276 or -16\/7?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 3*v**2 + v - 4. Suppose o = 9 - 6. Give u(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120286550 and 108257895?\nAnswer: 1082578950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*s. Let c be (-1 - 2)\/((-9)\/24). Solve s = j + j - c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 x when two letters picked without replacement from {d: 5, x: 15}?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 167208 by 27868.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 23. Let m be o(12). Let w be 136\/(-20)*3\/((-3)\/(-5)). Which is smaller: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-7\/6)*t**5 assuming t is positive.\nAnswer: t**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 208*w**2 - 1411*w + 807. Determine k(201).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 9*p**2 - p - 9. Let s be n(-9). Suppose -7*h + 4*h + 27 = s. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76 - -109. Let b = -31 + y. Suppose 9*m - 80 = m. Solve -b*s + 0 = m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -471005\/2 or -235503?\nAnswer: -235503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 37. Let a = -15.2 - p. What is a rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37799518397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -2\/2009?\nAnswer: -2\/2009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 858 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: Expand (-2*h - 2 + 2)*((h + 0*h + h)*(-6*h + 2*h + 2*h) + 0*h**2 - 3*h**2 + h**2 + (0*h + 4*h + 0*h)*(-2*h + h + 4*h)).\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5151 = -56*q + 57*q, -25812 = -5*q - 4*g. List the prime factors of q.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*l - 2, -5*h = 5*l - 20. Suppose 0*n + 5*d + 231 = 3*n, d - 77 = -n. Let p be (n\/21)\/(h\/(-6)). What is the greatest common factor of p and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 188360192*h + 221978364 wrt h?\nAnswer: 188360192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 27282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 at most -3.72853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40027044 divided by 7548.\nAnswer: -5303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, t: 4, s: 4, e: 1, z: 4, l: 3}. What is prob of sequence zla?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -593, -2379, -5355, -9521, -14877, -21423, -29159?\n\"Answer: -595*l**2 - l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 650 = 4*r - 862. Let t = 380 - r. Let f = -4 - -4. Solve q = -f - t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 77. What is the remainder when w is divided by (-332)\/(-20) + (-2)\/(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 14*d + 1. Determine u(-4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.04 + 0.9. Let v = z - -0.04. Sort 2\/3, 1\/6, v in descending order.\nAnswer: 2\/3, 1\/6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*a**4 + 3*a**3 + 19*a - 36*a**2 - 24*a - 584 + 582 + 37*a**2 as o*a + c*a**3 + j*a**2 + p*a**4 + x and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 266689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/180 + 41217\/297 + -139.\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1339069 + 235.5.\nAnswer: -1338833.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766144969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -4, 8, -0.58, 0.33, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(637) + -1 + sqrt(637) - sqrt(637))*2)**2 + -1*(5 + -3*sqrt(832)).\nAnswer: -88*sqrt(13) + 2559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t = -7*t - 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + 4*k - 4*k)*(-3 - 1 + 3)*(-8 + 8 - 3*k).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z - 3*z + 4*z)*(0*z + 2*z - 4*z) - 7*z**2 - 51*z**2 - 4*z**2 + 4 - 2 + 3*z**2 + 0 in the form c + w*z + j*z**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + k + 34 - 99 = -6*r + 59, -4*r = -32*k + 224 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l - 19. Let t(k) = 3*k + 10. Let q(m) = 3*n(m) + 5*t(m). Let h be q(-7). Calculate the greatest common factor of 154 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in -0.01, 1932\/19, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 167859*g*p**2 + 16000*g*p - p wrt p.\nAnswer: 335718*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 5:25 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, -0.21, 3, 271, -1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 30 = -4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i - 3. Let c(l) = 17*l + 412. Let h be c(-24). Let t(k) = 4*k + 2. Calculate h*t(a) + 3*f(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 13*x + 416. Give b(-32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.6? (a) -2\/11 (b) 5 (c) -3 (d) -5 (e) -2.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5527249 rounded to 1 decimal place?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 50*a - 22. Let f(d) = -10*d + 4. Let l(n) = 22*f(n) + 4*m(n). Suppose 2*z + 4 = -0. Is 14 a factor of l(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-128)\/(-24) - 3\/9. Suppose y*l - 15 = -2*i, -3*i + 3*l + 4 = 13. Let f be (0 - 1) + (-6)\/2. What is the closest to i in f, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o + 11. Let c(p) be the first derivative of -p**2 + 21*p - 4. Let w(q) = 6*c(q) - 11*n(q). Give w(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5399 - 5394. Which is the third smallest value? (a) 2\/51 (b) 0.4 (c) q (d) -5 (e) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 6. Let n(d) = 2*d + 4. Is 18 a factor of n(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 911.98643 + -912. What is j rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 t when three letters picked without replacement from {m: 4, t: 14}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19930 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -118*j + 37. Let z(b) = -354*b + 110. Let l(r) = -11*t(r) + 4*z(r). Is l(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgs when three letters picked without replacement from jjssjsgjsss?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkcekckkecc. What is prob of picking 2 k?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one fifth of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17154 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-48)\/320)\/((-1)\/4))\/(255\/1360)*5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 51*((112\/3)\/(-8) - -7). What is the highest common divisor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -343\/82 or -3?\nAnswer: -343\/82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 + 4*b**3 - 3*b**3)*(1451*b + 433*b - 218*b + (-3 + 3 + 2)*(0 - b + 0)).\nAnswer: 1664*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63508158.\nAnswer: 2, 3, 7, 17, 9883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 533487810 to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*m + 11*m + 39*m)*(2*m + m + 0*m) to the form f*m + i + h*m**2 and give h.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*4*sqrt(304) - sqrt(304) - (sqrt(304) - (5 + sqrt(304) + sqrt(304))*6))**2.\nAnswer: 12960*sqrt(19) + 298188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 102.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 + 0*d**3 + 0*d**3 + 2*d**2 - 6*d**3 + d**3.\nAnswer: -5*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i**3*v**2 + 3*i**3*v - 81*i**3 - 13*i*v**2 + i wrt v?\nAnswer: -2*i**3*v + 3*i**3 - 26*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*f - 4*i, -i - 15 = -5*f + 4*i. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 1571*q**2 + 36192*q - 910217. Calculate d(1548).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 8860002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 802\/17 - 236\/5. Find the common denominator of -91\/102 and u.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -1.2 (c) 5408 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 69*w**5\/10 + 107*w**2\/2 - 146*w. Differentiate l(j) with respect to j.\nAnswer: 414*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110 + -4?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.8 greater than or equal to 958.49465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9615 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 8:24 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 386 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4 + 39\/(-12). Let b = 28 + -9. Let l = q + b. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3827191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (22 - -1 - 2) + -3 + -7 + -48\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**6 + 8*p**4 + 8*p - 8. Let i(z) = -z**6 - z**4 + z**2 - z + 1. Let x(m) = 8*i(m) + u(m). Find the third derivative of x(n) wrt n.\nAnswer: -720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 - (-1)\/(56\/(-7) - -7) - -1500.\nAnswer: 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 726438.\nAnswer: 2, 3, 41, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 171*x - 146*x - 75 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 10. What is the third derivative of -2*a**4 - 2*a**4 - 5*a**b - 2*a**2 + a**4 wrt a?\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnu when three letters picked without replacement from gugwnswww.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-3))\/(48\/18). What is the fourth smallest value in m, 2, 5\/4, 3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from xuxxuuuaxuuuuuuaauuu?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(539) + 2*sqrt(539))**2 + -3 + (-2 + (sqrt(539) + -1)**2 + sqrt(539) - ((sqrt(539) + 0 - sqrt(539))**2*-3 + sqrt(539))))*3.\nAnswer: -42*sqrt(11) + 16155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -351, -671, -991?\nAnswer: -1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 21102?\nAnswer: -21020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7917110*w - 5462226 wrt w.\nAnswer: 7917110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from {l: 2, x: 4, b: 1, r: 2, y: 2, c: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83359 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 3*p + 5*y + 3, 8 = 5*p + 2*y. Let h be 3 - p\/((-8)\/(-12)). Suppose 0*f - 4*f = h. Solve -5*u - 10 = -5*n, -u + f*u + 2 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -8*c - 4. Let t be h(-3). Let n be (-2 - 2)\/(13\/(91\/(-14))). Suppose -a = -3*p + n + 14, 4*p - t = 0. Which is greater: 2\/39 or a?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 16*b - 11*b = -645, -2*s - 4*b - 262 = 0. Let y = s + 185. What is the remainder when 231 is divided by y?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 146830 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*i**2 + 158*i**2 - 490*i**2 + (5*i + 0*i - 3*i)*(-4*i + 2*i + 3*i) + 0*i - i**2 + 0*i.\nAnswer: -316*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 371*d - 12424 + 18731 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 3:10 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(2*sqrt(156) - sqrt(156)) + -2*sqrt(156)*-4)*-6)\/((sqrt(180)\/sqrt(3))\/sqrt(5) + (sqrt(108)*-1 - sqrt(108))).\nAnswer: 18*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-11) - 288\/132 - 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 80 - 0 - (-126 - (303 + -430)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5655 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 436 = 5*g + 2*t, -5*g = -t - 552. Suppose 2*m - 115 + 93 = 0. Calculate the highest common factor of g and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 17*p - 470. Let w(n) = 7*n - 235. Determine 3*u(m) - 7*w(m).\nAnswer: 2*m + 235","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 16*b + 6. Let c(h) = -80*h - 32. Let n(a) = 3*c(a) + 16*u(a). Suppose 88 = 7*s + s. Let f(i) = s*i - 11*i + 2*i**2. Calculate f(n(x)).\nAnswer: 512*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/2709180 and 101\/49590.\nAnswer: 51474420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-1\/8)*c\/(c*c*c**2))**(-5) assuming c is positive.\nAnswer: c**(45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 0.5, -2210 in descending order.\nAnswer: 4\/7, 0.5, -2210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/9 - 82\/(-3). Let i = s - 15. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.806 times 1173\nAnswer: 945.438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35018, 34758, 34322, 33710, 32922, 31958?\nAnswer: 30818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/9 (b) 2 (c) -4\/13 (d) 0.3 (e) -2\/13 (f) 2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.6 + 1.54. Which is smaller: r or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 614*b + 510*b - 25852 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 54 + 11 = 0. Let w be (-3 - 68\/(-24))*-76. Let s = w - r. Calculate the common denominator of s and -30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23076 + -23075.946086. Let u = -17 + 17.054. Let j = u - r. What is j rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, l: 7}. What is prob of sequence lt?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - w. Let g(r) be the first derivative of -5*r**3\/3 - 3*r**2 - 3*r - 5588. Suppose 5 - 7 = 2*a. Determine a*g(z) + 6*k(z).\nAnswer: -z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 0 + 0*v**4 - 1\/12*v**5 + 1\/24*v**6 - 5\/336*v**8 + 1\/42*v**7 + 0*v**3 + 0*v - 4*v**2. Determine g, given that j(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 1:19 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53769.\nAnswer: 3, 17923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.49915 years in decades?\nAnswer: 7.049915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1252, -21, -9?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/21 - (-2 + 174\/(-21)). Let p be (s\/(-15))\/(1\/(-21)). Calculate the greatest common divisor of p and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5052, 4595, 3832, 2763, 1388, -293, -2280?\n\"Answer: -153*i**2 + 2*i + 5203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yq when two letters picked without replacement from yrjqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 0*y + 12. Suppose y*q - 30701 = -b - 8672, -3*q + 22029 = 5*b. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 234092, 234072, 234052?\n\"Answer: -20*v + 234112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 0 + 41\/3*j**3 + j**2 - 6*j. List the prime factors of w(2).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - ((10\/(-2) - -2) + 4)\/(-5). Let u = -0.1 - -0.1. Let k = u + 1. What is the third biggest value in 4, r, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 18192542.\nAnswer: -3638508.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 604575?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04793 and 1.0592?\nAnswer: 0.050767456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*t - t = 30, -t + 5 = 0. Let g = z - -7. Let y be g\/16 - (-1 - -1). What is the nearest to 1 in 5, y, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 10:29 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68 - (-9 - -52)) + (-86 - -5).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 20*s**2 + 9*s + 74. Let y = 75 - 81. Let z(p) = -18*p**2 - 8*p - 75. Let c(k) = y*z(k) - 5*b(k). Differentiate c(m) wrt m.\nAnswer: 16*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*s - s**5 + 13*s - s**2 - s**3 + (2 - 2 + s**4)*(-67 - 5*s + 67).\nAnswer: -6*s**5 - s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 15*y**2 - 20*y**2 + 5 - 8 as j*y**2 + v + s*y and give j.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/o**6*o)**3)**(-32))**(-34) assuming o is positive.\nAnswer: o**(-9792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-280)\/10)*(-14)\/(-441)*-7?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyeyygyyygeycee. What is prob of picking 1 c and 1 g?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 4 + 8*m**2 + m**2 - 4*m**2 as g + r*m + x*m**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -110000110111100000100?\nAnswer: 110000110111100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.058 + -29.942. Let u = q + 32. What is the closest to u in 2, -2, -1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1056 and 1344.\nAnswer: 14784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + d**3 + d**3)*(0*d - 8*d - 3*d)*(d - 2 + 2).\nAnswer: -11*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3979*g - 3969*g - 7 + 7. Let q(b) be the third derivative of b**4\/12 + b**2. Determine q(j(s)).\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 394471, 394468, 394465?\n\"Answer: -3*b + 394474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - m = 2*p + 656, 2*p - 438 = m. Which is bigger: p or 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 180274 or 1081651\/6?\nAnswer: 1081651\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 8:40 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*y + 168*y + 888 = 0. Let s = -144 - y. What is the closest to -3\/20 in -6, 2, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1831 - -1980. Is 66 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200146 divided by -48.\nAnswer: 100073\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 0)*(16*d - 13*d - 8 - 6*d) to n + x*d and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.065 * -0.159.\nAnswer: 0.010335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8\/16*-2*(-123 - -2) is divided by 44.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52441, -51199, -49957, -48715, -47473, -46231?\nAnswer: -44989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 64 + 180 = 4*b, -2*b = -5*t + 291. Calculate the remainder when 1350 is divided by t.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -2983485 and 0.5.\nAnswer: -1491742.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n**2. Let m(u) = 17848*u**2. What is l(m(c))?\nAnswer: -1274204416*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4099 (base 14) to base 6.\nAnswer: -123235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in nanograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -758517903 divided by 393\nAnswer: -1930071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**9\/68040 + p**8\/15120 + p**4\/8 + 8*p**2. Let c(d) be the second derivative of u(d). Find m such that c(m) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 39*x**2. Let z(k) = 4*k + 1. Let i be z(-3). Let b(s) = s**2 - s - 1. Let y be b(i). Let l(c) = y - c - 131. What is d(l(p))?\nAnswer: 39*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -847.\nAnswer: 84.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 360 divided by 9\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2732 - 2454?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 10:57 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2982287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -26*l**2 + 7599*l - 2049. Give b(292).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**2 + 0*v**2 + 129*v**3 - 128*v**3 in the form n + i*v**2 + y*v**3 + l*v and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqxx when four letters picked without replacement from ooqoxbqobxxxooxobob.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**2 - y**2 - 3*y**2 + (-4*y + 3*y + 3*y)*(0*y - 2*y + 5*y) - y + y**2 - 3*y**2 + 6*y**2.\nAnswer: 11*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779303 is divided by 150?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k + 0*k - 5*k)*(-4 + 3 - 2) + 7*k - 3*k + 7*k to the form j*k + s and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**2\/2 + 5*j + 2. Let f be c(5). Solve f = -4*q + 2*q - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1385 divide 30129290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2896847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146373?\nAnswer: 3, 97, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 - 469*l**3 - 44*l - 8*l + 470*l**3 + (-3*l - 3*l + 4*l)*(11 + 2*l**2 - 11) - 14 - 6*l**3 + 14.\nAnswer: -9*l**3 + 2*l**2 - 52*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001001011011001001111 (base 2) in base 9?\nAnswer: 8423105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 308348 and 539609?\nAnswer: 2158436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -345 + n**3 - 2*n**4 + 339 + 0*n**3 to the form k*n**3 + s*n + r*n**4 + u + i*n**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -19. Suppose -q*h + 5 = 3*m - 10, 5*m - h = -5. Suppose 3*a - 6 = -m*a. Solve 7 - 17 = -a*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -54, -48, -44, -42, -42?\n\"Answer: -y**2 + 9*y - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*a + 4 = 0. Suppose -3*s = 5*m + s - 53, 0 = 4*s + 12. Let j = a + m. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**6\/120 - f**5\/30 + f**4\/24 - 6*f**2 + 2*f - 31. Let h(p) be the second derivative of w(p). Give h(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 3\/334?\nAnswer: 3\/334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*h + 482 = -58. Let y(i) be the second derivative of i**4\/12 - i**3\/2 + 2*i**2 + 4*i. Determine y(h).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-34926 - (-15 - -8))\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1870 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 6. Is 2 - 1 - -197 - z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -3 - (4988 - 5006).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -626.6 + 705. Let z = l - 3.4. Let a = z - 79.9. What is a rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*s + 308 = 194*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 22*f + 43. Give m(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1122*i**3*k**2 - 117*i**3 + 756*i*k - 6*k**2 + 3 wrt i.\nAnswer: 6732*i*k**2 - 702*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -15*r**2 + 13*r - 4. Let z be l(12). Let x be ((-4)\/2)\/(4\/z). What is the tens digit of 5 - x\/(-12) - 12\/(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) -0.1 (c) -313\/64 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -125843, -251634, -377431, -503234?\n\"Answer: -3*c**2 - 125782*c - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 50 - 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*i + 132*i + 523*i - 3744 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4148 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -220, -385, -550, -715, -880, -1045?\n\"Answer: -165*d - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8\/75953, -4\/7, -290?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x = 3*x + 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -9398 + 9164. Calculate the highest common divisor of j and 2886.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6114*i**3*m + 500*i**3 - 7396860*i**2*m wrt i?\nAnswer: -36684*m + 3000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**6\/24 + i**5\/60 + 2*i**3\/3 - 47*i**2 - 47. Let u(f) = 4*f**3 + f**2 + 5. Determine 5*p(l) - 4*u(l).\nAnswer: 9*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52045\/6 - 8699. Calculate the common denominator of 30\/67 and y.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 7 = t, -4*c - 5 = 5*t + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10596478?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {j: 2, f: 17}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18025 equal to 19128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9\/2 (b) -2\/5 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/5 of a minute?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -180*m - 900. Let n be q(-5). Suppose -12*p - 48*p + 120 = n. Suppose 6\/5 - 9\/5*w + 3\/5*w**3 + 0*w**p = 0. Calculate w.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 h when two letters picked without replacement from cpphf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6542, 13078, 19612, 26144, 32674, 39202?\n\"Answer: -v**2 + 6539*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -17*d**3 - 40*d**2 - 4. Let o(p) = -34*p**3 - 81*p**2 - 7. Let s(j) = 7*h(j) - 4*o(j). Find the third derivative of s(c) wrt c.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 1. Let w be b(-4). Let d be ((-103)\/3)\/((-16)\/96). Suppose -w*x + x = -d. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 7*i**2 + i. Let p(n) = 18*n + 61. Let r be p(-3). What is s(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 6:55 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6477601979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -5\/3, 500, 2, -2\/9?\nAnswer: 500","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**5\/6 + 13*z**4\/6 - 43*z**3\/6 - 7*z**2\/2 + 24*z + 18 = 0. What is z?\nAnswer: -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 165, 1451, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 281a32 (base 14) in base 7?\nAnswer: 14536562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4000*m**6 + 1038*m**6 - 150*m - 8*m**5 - 440 - 3*m**2 + 152*m + 8*m**5 wrt m?\nAnswer: 604560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 6 = 2*i + 7, 3*i = -5*u - 17. Let o = 2\/57 - -167\/114. Which is the biggest value? (a) o (b) i (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/57)\/(g**5\/g))\/((g*g**(5\/2)\/g)\/g)**(2\/7) assuming g is positive.\nAnswer: g**(-1753\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724 is divided by 55.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37550 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**2 - 70*z + 4. Let d(r) = -6*r**2 + 106*r - 6. Determine -5*d(t) - 7*p(t).\nAnswer: 2*t**2 - 40*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.83 - -0.23. Let q = -7.6 - o. Which is the closest to 1\/4? (a) 11 (b) q (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 9\/8*w**4 - 3\/10*w**5 + 0 - 1\/336*w**8 + 9\/2*w**3 - 1\/12*w**6 + 0*w + 3*w**2 + 1\/30*w**7. Find g such that r(g) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102211, 102277, 102343, 102409?\nAnswer: 102475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2\/3 + 77024*a\/3 + 741587072\/3 = 0. What is a?\nAnswer: -19256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 410.69 to the nearest 10.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2090208m in centimeters?\nAnswer: 20.90208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 9*z + 20. Let y be d(8). Suppose 135 = -y*g + 9*g. Let t be (-4)\/(-18) + (-170)\/g + -2. Solve q + t = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121 - 211112?\nAnswer: -202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104265 - 22208522\/213. Let i = h + 2\/71. Sort i, -1, -0.3 in increasing order.\nAnswer: -1, i, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2. Let g(u) be the third derivative of 0*u**3 + 4\/15*u**5 - 1 + 0*u**4 + 0*u + 10*u**2. Give g(n(f)).\nAnswer: 144*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3*r**2 + 48*a**3 - 4*a**2*r**3 + 6*r**3 + 4*r wrt r?\nAnswer: 4*a**3 - 24*a**2*r + 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*h - 8, -4*p - 1 + 10 = -3*h. Let b = 1 - h. Let y = 4 + b. Calculate the greatest common factor of 16 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76246461 divided by 2823943?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -203\/422 + -4\/211. Put 2, -0.4, l, 1\/9 in decreasing order.\nAnswer: 2, 1\/9, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67 * -10\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from {n: 1, k: 1, e: 1, b: 2, f: 1, m: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from hmhgmmmmmhmmhmmmddg.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2. Let l(x) = 2*x**2 + x - 1. Determine -2*l(s) + 5*r(s).\nAnswer: s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/25 and -8\/3365?\nAnswer: 16825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 22. Let i be (-5)\/(-20) + (-9)\/(-6) + -2. Let y be 9 - 8 - 42\/38. Which is the closest to i? (a) 5 (b) u (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 3*p**2 + 5*p - 2. Let n = -86 + 153. Let j = 133 - n. What is the remainder when j is divided by u(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 23\/3*(-1416)\/(-5428). Find i, given that 42\/5*i**3 + 106\/5*i**x + 8\/5 + 54\/5*i - 18\/5*i**4 = 0.\nAnswer: -1, -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 8:05 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 - -85. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - i + i)*(-4*i**3 - 3*i**3 + 17*i**3).\nAnswer: 40*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -57*d + 1311. Let r be v(23). Solve -n + 3*y - 6 = r, -y - 2 - 3 = 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + 512029317*p**3 + p**2 - 1 + 512029322*p**3 - 1024058646*p**3.\nAnswer: -7*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -198, -286, -366, -432, -478, -498, -486?\n\"Answer: n**3 - 2*n**2 - 89*n - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90021518.9999445 - 90021462. Let y = z + -57. What is y rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3606 a factor of 17056743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o**2 - 4*o - 4. Let l(q) = 6*q**2 + 3*q + 4. What is -5*l(x) - 4*s(x)?\nAnswer: -2*x**2 + x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 = -266*s - 3307 - 4823 for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.627 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119205 and 2253.\nAnswer: 89522955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 189*d + 28. Let q(p) = p. Suppose 0 = -2*i - 2*i + m - 22, 5*m = -4*i - 34. Let g(w) = i*q(w) - c(w). Is g(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9766 + -9775. Let d(y) = 8*y + 10. Let m(t) = 4*t + 5. Give v*m(j) + 4*d(j).\nAnswer: -4*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 144\/64*1\/(-21)*-4. Let l(d) be the first derivative of 4 - 4\/7*d - j*d**2 - 2\/21*d**3. Factor l(z).\nAnswer: -2*(z + 1)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/39389 and 99\/2.\nAnswer: 78778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 1\/12*y**4 + 0*y + 1\/60*y**5 + 0 + 4*y**2 + 0*y**3. Determine l(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -17*c**2 - 3*c + 13. Let a be t(-6). Let d = -128 - a. Determine k, given that 12*k**2 + 453*k - 4*k**3 - d*k - 16 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -140 + 150. Calculate the smallest common multiple of 4\/((-1)\/(18\/(-4))) and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 5*z**2 + 3*z - 6. What is j(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117648?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/7 - 4138*x**2\/7 - 4124*x.\nAnswer: -2*x*(x + 7)*(x + 2062)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**7\/42 + 11*o**4\/24 + 33*o**2. What is the second derivative of t(a) wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -467 (b) 11 (c) -6\/203\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 (base 4) in base 16?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1247, 2456, 3665, 4874, 6083, 7292?\nAnswer: 8501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527 + 80050*u**2 - 527.\nAnswer: 80050*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12755.\nAnswer: 5, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 203 - 101 - 7*v - 102. Let y(k) = 23*k. Calculate y(q(d)).\nAnswer: -161*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 6:00 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (12\/4)\/((-6)\/(-2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/34548670 and -19\/12879090.\nAnswer: 2176566210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1159 + 8116\/7. Which is the closest to -6\/53? (a) -1\/7 (b) 0.4 (c) g (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 0, -m - 63 = 3*w - 5*m. Is w smaller than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-18))\/((4\/(-3))\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -85, 3, -2\/351, 4, 2, 6.\nAnswer: -85, -2\/351, 3\/2, 2, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18494 (b) 17.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16046.401 rounded to the nearest one hundred?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7552 - -7660. Calculate the highest common divisor of t and 492.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 26 = 3*p - 44, 0 = -p - 5*j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 c, and 1 s when three letters picked without replacement from csmccmccmycyyssccmyc?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 2*k**2 + 4*k**2)*((-2*k**2 + k**2 + 3*k**2)*(2*k - k - 3*k) - 3*k**3 + 5*k**3 + 4*k**3) + 0*k**5 - 3*k**5 + 0*k**5.\nAnswer: 7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 72 = -5*o + o, -88 = -5*o - 3*d. Solve -5 = -5*w - o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 15 = 0, 3*p = 4*d - 12 + 33. Let j be (8080\/28 + p)*-2. Let y = -585 - j. Calculate the common denominator of 2\/9 and y.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(-1 + 15\/16). Let w = v + -141. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12728 or 12729?\nAnswer: 12729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 - 28. What is the highest common divisor of v and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y. Suppose 4*g - 12 = -4*c, 17 = -0*g + 3*g - c. Let l = 7 - g. Let p(h) = 5*h + 3*h - 8*h + l*h**2. Determine p(z(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2 - (-36)\/24. Solve m = -j - 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3849, 4, 1, -3 in decreasing order.\nAnswer: 3849, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4 = -0*k. Let l(p) = -p**2 + p**k - 2*p**2. Let o(n) = 2*n**2 - 3. Let w(c) = 10*c**2 - 14. Let r(z) = -14*o(z) + 3*w(z). What is l(r(x))?\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1703 divide 81844477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 + 9 - 1) + (-29 - 36).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13033 and -0.2.\nAnswer: 2606.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-7)*679\/(-582). Which is the fourth biggest value? (a) 54 (b) 1\/3 (c) t (d) 0.1 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-293924)\/1229280 - 5\/(-24)?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 3*w - 103150, 29*u - 31*u = 4*w - 41246. What are the prime factors of u?\nAnswer: 47, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5468112 to the power of 1\/2, to the nearest integer?\nAnswer: 2338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17134853 is divided by 7437.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**5\/4 + r**4\/12 + 4*r**3 + 2*r**2. Find the first derivative of w(u) wrt u.\nAnswer: 30*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000323 (base 4) to base 7\nAnswer: -15054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.280429 litres?\nAnswer: 7280.429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*u + 30*u = 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 5. Let p(t) be the third derivative of t**5\/60 - 3*t**4\/8 + 5*t**3\/6 - 3*t**2. Let y be p(9). Put o, -0.3, y in decreasing order.\nAnswer: y, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*j**3*z - j**3 - j**2*z + 434*z with respect to j.\nAnswer: 81*j**2*z - 3*j**2 - 2*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**3 + 2078*i**6 - 2087*i**6 + 53*i**2 - 5*i**3 wrt i?\nAnswer: -1080*i**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (11 - (-14 - -11)) - (2 + 145 - 14)\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 2\/(-4)*10\/(-5). Solve 0 = 3*k - 4*k - u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 9166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1780600 to the nearest 10000.\nAnswer: -1780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, 0.1, 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c**3 - 514579*c + 1029352*c - 514773*c.\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(304))**2 + -4.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2943605*y - 27130. Let n(i) = 5426*i - 50. Give 5*h(p) - 2713*n(p).\nAnswer: -2713*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*g + 468 = -625*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**3 + 6*d**2 - 6*d**2 + 29*d - 62*d.\nAnswer: -3*d**3 - 33*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 6*k. Let m be a(4). Suppose -y + 6 = 4*q - 20, -5 = -5*y + 5*q. Suppose -5*p + p = s - y, 4*p = 4. Solve -3*d + m = s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 17*z**3 - 1887*z**2 - 116*z + 12871. Give i(111).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-2\/5))**(-17)\/((x*x**(-2\/3))\/x)**(2\/17)*(x**0)**10\/(((x*x**(-4)*x)\/x)\/(x\/x**4)) assuming x is positive.\nAnswer: x**(-6916\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 2*w - 351 - 804.\nAnswer: 2*w - 1194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -304, 5 in ascending order.\nAnswer: -304, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - n - 13, 24 = 29*k - 25*k - 3*n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1940 and 1358.\nAnswer: 13580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 4*n - 2*n)*(0 - 2 + 0 + (3 - 1 + 6)*(1 + 0 - 2))*(-n**2 + 0*n**2 + 3*n**2).\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11994.2um to meters.\nAnswer: 0.0119942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 31, -37, 0.\nAnswer: -37, -2, 0, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1333, -2, -1, -4, -146 in decreasing order.\nAnswer: 1333, -1, -2, -4, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*f - 71 = 0, -69 = -5*u + 5*f + 266. Is 2*2\/(-4) + u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -441631106199*f + 1 + 441631106197*f + f**3 - 1.\nAnswer: f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n + 4. Let g be f(0). Solve -r - 10 = g*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r. Let z be (2\/4)\/((-2)\/8). Let p be 29\/1 + (0 - -1). Let u(n) = -41*n + 23*n - p*n. Determine z*u(m) - 33*w(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -111908, -223818, -335728, -447638, -559548?\n\"Answer: -111910*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 7*t**2 - 2*t + 3. Let v(o) = -35*o**2 + 11*o - 14. Let f(g) = 11*a(g) + 2*v(g). What is the first derivative of f(m) wrt m?\nAnswer: 14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 44) + 0 + 35 + 12 + -1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 2.012. Let m = r - 0.948. Let x = -0.9599894 - m. What is x rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-61325)\/(-12) - 1\/(-2). Let i(b) = -23*b**3 + 4*b**2 + 2*b + 4. Let n be i(-6). Let z = n - v. Find the common denominator of -99\/10 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3630, -3578, -3526?\nAnswer: -3474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-825*c**2 + 4 + 822*c**2 - 2*c**3 + 3*c**3)*(-3*c**2 + 4*c**2 - 3*c**2).\nAnswer: -2*c**5 + 6*c**4 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -x + 15. Let i = x + -3. Solve 5 = 2*q - 0*l - 5*l, 4*l = 2*q - i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 519 (b) -5 (c) -3 (d) -4 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -21. Let m = a - -691. Let v = m + -10969\/16. Find the common denominator of v and -65\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609468?\nAnswer: 2, 3, 50789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 2504?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 175 + -17. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 935248?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 5*u**2 - 9*u + 27. What is the lowest common multiple of 261 and c(6)?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 950146.79 and -1748.84.\nAnswer: 948397.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2. Let g(k) = 29747*k. Give l(g(h)).\nAnswer: 3539536036*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-256)\/896*((-175)\/(-60))\/((-1)\/4)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -413*g**2 + 5*g - 4. Let k be i(2). Let d = 3157 + k. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.51 - -2.51. Which is the closest to j? (a) 4 (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -98, -59, 92, 397, 898, 1637, 2656?\nAnswer: 3997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 198823, 397647, 596471, 795295?\n\"Answer: 198824*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (31 - 13) - 26) + 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 10276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 10 = -2*s, 0*s - s - a + 2 = 0. Suppose 4*u - s = 9. Put 1, u, 5 in ascending order.\nAnswer: 1, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 31331274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-111 + 92 + 42)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**5 - h**5 + h**5 + (0 + 2 - 4)*(-3*h**5 + 0*h**5 + 4*h**5) + 2*h**5 + h**5 - 2*h**5 - 6*h**5 + h**5 + h**5.\nAnswer: -7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b**3 - b**2 + b**2)*(b - 2*b + 3*b) - b + b - 2*b**4 + 1850*b**2 - 1850*b**2 + 162*b**4 in the form s + h*b**4 + o*b**2 + r*b**3 + j*b and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 25 - 25. Put n, 3, 6, -3 in increasing order.\nAnswer: n, -3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/3 + 13\/15. Let s = 8.3 + -8. Let f = s - 0.1. What is the second smallest value in f, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -942455 - -5?\nAnswer: -942450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1017607?\nAnswer: 1017607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1124 - -5?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -2071?\nAnswer: 3\/2071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 583664691.\nAnswer: 3, 3499, 55603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.099067 to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubqqquqbuqbbqbubbqu. What is prob of picking 2 u and 1 q?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77 + 387\/5. Which is the second smallest value? (a) -3 (b) -2\/9 (c) 0 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 47. Suppose -5*q - 16 = -2*p, -q - 2 = -u*q. What is the smallest common multiple of p and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10 + 4 + -14)*1. Solve -70*n + 65*n - 5*t = -30, p = 2*n - t + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 2*i**2 - 3*i + 5. Determine t(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/17 (b) 7\/26 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 0 + 0*m**3 - m**2 + 0*m + 1\/12*m**4 - 1\/30*m**5. Determine i so that z(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 329?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*h + 1151325 + 1863479 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/30 and 37\/198?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 30, 33, 46, 75, 126, 205, 318?\n\"Answer: f**3 - f**2 - f + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/9083991 and 2\/637?\nAnswer: 826643181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 20. Let w be s(-13). Let i be (-3)\/w - (-4)\/(-28)*-32. What is z in -15\/4*z**4 - 3\/4*z**3 - 3\/2*z**i + 0 + 0*z + 3\/2*z**2 = 0?\nAnswer: -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8645, -10540, -12435, -14330, -16225?\nAnswer: -18120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vycyygvyvncg. Give prob of sequence gn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 5625 to the nearest one hundred.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 3*l + 4*w = -12, -l - 6 = 2*w. Suppose l = -2*y + 2*s + 50, -3*y = -y - s - 53. Solve 18 = -4*p - h - 4, 4*p + y = -4*h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1642.\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-80)*-8)\/((-6)\/28).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 12434.144 to the nearest one hundred.\nAnswer: 12400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240 (base 6) to base 10.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11145024 (base 7) to base 11.\nAnswer: 602305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 218\/6 + (-2)\/(-3). Let n(d) = 2*d**2 + 23*d - 4. Let w be n(-11). Let q = w + y. What is the greatest common factor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4463920 divided by 5\nAnswer: -892784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (30\/(-16))\/((-492)\/(-328)). Let g = -4.5 - -4. Put -3\/7, m, g, -3\/4 in ascending order.\nAnswer: m, -3\/4, g, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 175*x - 1. Let o be s(1). Suppose -m + o = m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjljlllljjljl. Give prob of picking 2 j.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -131, -271, -421, -587, -775, -991, -1241, -1531?\n\"Answer: -k**3 + k**2 - 136*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvll when four letters picked without replacement from {e: 3, l: 3, v: 2}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*u - 351, u = -26*a + 29*a + 81. What is the highest common divisor of u and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 97 - 0*4\/(-8). Let q = s + -46. Calculate the remainder when q is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 4*k - 43, -7*k - f - 9309 - 9288 = -18617 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**3 - 7021437*h**2 - 18868742*h wrt h.\nAnswer: 18*h - 14042874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 19 + -5 - 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*t + 2*b - 104, -4*b - 170 = -5*t. Suppose -10 + t = 5*j. Solve 0*i + j*i - 20 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*x**3 - 104*x**3 - 92*x**3.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100011 (base 2) in base 10?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - y + 4, 2*y - 15 = 5*f - 0*f. Let n(z) = z**2 - 2*z. Let i(v) = -51 + 22 + v + 29. Let w be 2\/11 + (-72)\/33. Calculate f*n(x) + w*i(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 583 + -583. Let p = -3.1 - -3. What is the second biggest value in p, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 154 - 154. Let u(a) = 2*a + 6. Let j be u(-4). Let z = i - j. Which is bigger: 7\/3 or z?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**2. Let f(i) = -3*i. Let w(d) = -4*d. Let m(p) = -6*f(p) + 4*w(p). What is v(m(j))?\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 greater than or equal to 1732067\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/3)\/(-1 - (-64)\/60). Suppose -5*u + 3*k + 1385 = k, 525 = 2*u + c*k. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2429731?\nAnswer: 2429731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + 63 + (-1 - -9) - 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*m - 20, 4*w - 10 = -m - 0*w. Calculate the greatest common divisor of m and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20432 (base 8) to base 6\nAnswer: -103122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 52 = -3*r, -44 = -3*i + 2*r + 3*r. Calculate the lowest common multiple of 2 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 742031 + -513433. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, x: 1, g: 1, v: 9}. What is prob of sequence sg?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289 - 1335 = -6*m - 50*m for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/2074 and 43\/228650.\nAnswer: 13947650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/100 + 3\/4*-1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r - 185 + 473 = 0 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/45 + 62\/45. Let u(r) = -r**3 - 6*r**2 - 4*r + 7. Let n be u(-5). Suppose -n*p = -p + 5. Which is the closest to 0.1? (a) h (b) p (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*m + 131 = 0, 5*w - 2*m - 130 = 3*m. Let r = w - 0. Calculate the remainder when r is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185121619 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, i: 1, n: 1, h: 6}. What is prob of picking 1 l, 1 n, and 1 h?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 3*a = -20, 4*b + 30 - 10 = -2*a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -4*l**5\/5 + 11*l**2 - 3*l + 14. Let i(z) be the first derivative of s(z). What is the first derivative of i(g) wrt g?\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 + 76. Suppose 0 = 2*h - x + 1. Calculate the greatest common factor of 6 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**6)\/n**(-1\/4))**(1\/74)\/((n**(-1\/2))**(1\/6)*(((n\/(n**(-1\/3)\/n))\/n)\/n*n)\/n**(-2)) assuming n is positive.\nAnswer: n**(-933\/296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.71 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(5\/4))\/f*f)\/f**(-15) assuming f is positive.\nAnswer: f**(59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218365 - 42865 = -1625*q for q.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 757347645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -308.9 times 0.04\nAnswer: -12.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1 = 15, -3*w - 8 = -4*s. Suppose -r = -2*r - 3*o + 68, s*r + 5*o = 290. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-7*(-2 - (-13)\/7)). Let z = 7 + i. What is the least common multiple of 20 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308 = 131*m - 153*m for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u - 11. Let w be a(8). Suppose w*m - 4 = 6. Solve -m*j + 10 = 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36 + -25?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*m\/m**(-9\/5)*m))\/m)**(-28)*m*m\/(m*m\/m**(-1\/5))*m*m\/(m**(-26)*m)*m*m assuming m is positive.\nAnswer: m**(956\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 174 - 113. Let x = b + -59. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 469117 or 469118?\nAnswer: 469117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1)\/u)\/u**(2\/5))\/(u**1\/u)**(-47))**24 assuming u is positive.\nAnswer: u**(-288\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2512.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*f + 20*f - 7980*f**2 + 17 + 7949*f**2 in the form r*f**2 + b*f + u and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -12. Let j(b) be the first derivative of b**w + 3*b - 1\/3*b**3 + 2. Give j(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -1\/240762958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 7*c**2 - 10*c + 4. Let l be p(-5). Suppose 4*o + 9*r - 38 = l*r, -2*o + 5*r + 4 = 0. Solve 0 = -h + 2*g - o*g + 16, g = -5*h - 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19772*-2\nAnswer: -39544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/21*((-198)\/(-4))\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**3\/6 + 23*b**2\/2 + 21*b. Suppose -31 = 3*c + 2. What is the remainder when 22 is divided by j(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27773 by -1.\nAnswer: -27773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6479203.211398 + 0.4.\nAnswer: -6479202.811398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 166612860 and 55380?\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433788 is divided by 836?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 7*c. Let o(v) = 2*v**2 + 53*v - 405. Calculate the remainder when z(11) is divided by o(-33).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = c - 5, 0*h = -h - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0145794 and 1.67035.\nAnswer: 1.6557706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3194 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c. Suppose f - 147 = -129. Let t(a) = -a. Let h(r) = -22*r. Let u(p) = f*t(p) - 2*h(p). Calculate u(b(q)).\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7299010 and 1276?\nAnswer: 160578220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1216) - (sqrt(1216) - (sqrt(1216) + sqrt(1216) + sqrt(1216) + 3))) + sqrt(95)\/(sqrt(45) + sqrt(5)))*-4)**2.\nAnswer: 2328*sqrt(19) + 178915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1090, 2, 5, -10.\nAnswer: -10, 2, 5, 1090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/40*(3 - (-33)\/(-6))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from iitttyitiitiiict.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91 - -128. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(16\/36) - -3. Suppose -s = -4*w - 4*o, 0 = -o - 5. Calculate the remainder when w is divided by -10*(-2 + 6\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*k**3 + 2754*k**3 - 7588*k**2 + 7588*k**2.\nAnswer: 3006*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -138.8 and -48576.\nAnswer: 6742348.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 479*v + 0 + 947*v - 470*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 4, 0.2, -3, 0.0942, -8, -326, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, -3, 5, 333 in ascending order.\nAnswer: -3, -2, 5, 10, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2899*n**3 + 2*n - 37*n**2 - 589*n**3 + 708*n**3 + 37*n**2 to h*n**2 + b*n**3 + g + i*n and give b.\nAnswer: -2780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.02 (b) 1\/12 (c) 366 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 197915945299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2889.23024 + 2889. Let r = x + 0.23. What is r rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/2283 and 22\/79833.\nAnswer: 60752913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 3. Let h be 106\/t + (-16)\/24. Solve -5*g + 8 = -h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14368)\/(-111352) - (-4)\/(124\/(-3569)).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/(-10)*125\/(-150). Factor p*d + 1\/4 - 4*d**3 + 2*d**2.\nAnswer: -(d - 1)*(4*d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 + t**3 + 6*t**4 - 5*t**4 - 63*t**2 - 11*t + 61*t**2 to the form k*t**2 + f + s*t**4 + p*t + q*t**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n**3 - 10*n**2 + 8. Let r(z) = -11*z**3 - 21*z**2 + 16. Let a(q) = -9*k(q) + 4*r(q). Suppose 2 = -l - 0, -5*l - 28 = 3*m. What is a(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -11. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 14. Let b be w(6). Suppose b*n = r + 4*n - 31, -r = 3*n - 34. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*30\/12)\/(946\/43516)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 13*t. Let p(g) be the third derivative of -7*g**4\/24 + 6*g**2. Give q(p(b)).\nAnswer: -91*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 8896437.\nAnswer: 1\/8896437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1.6+1.03892\nAnswer: -0.56108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = z + 6, -3*z - 9 = 2*y. Suppose -2*n - 2*q = y*q - 198, 0 = 3*n + q - 310. Calculate the least common multiple of n and 22.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**2 + 17*r - 5. Let x(d) = 11*d**2 + 50*d - 14. Give -17*m(h) + 6*x(h).\nAnswer: -2*h**2 + 11*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196 - 73 - 91 - 3*l.\nAnswer: -3*l + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384 is divided by 114?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 5*g = -100. Let d = g - -21. Let x be -3*d*1*1\/(-1). Solve f = -b + x, -2*b - 2*f = -5*f + 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.066 - -0.066. Let z = -2730 - -2725. Which is the nearest to q? (a) z (b) 0 (c) -1\/7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -24 (b) 2 (c) -5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*o - 97*o = -208. Let l = 109 - o. Solve b - 6*b + l = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o + 2. Let v(u) be the second derivative of -u**3\/6 - u**2\/2 + u. What is -2*l(c) - 6*v(c)?\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(2 + (-444)\/220))\/(-1). Let z = 57 + h. Is 46 a factor of z + 3792\/42 + (-2)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -19b006 (base 12) in base 7?\nAnswer: -3601662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -726613*i**5 + 2*i**4 + 2*i**2 - 2*i - 211879 wrt i.\nAnswer: -43596780*i**2 + 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (-161)\/(-4) - 489\/(-652). Calculate the highest common divisor of 7544 and i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54240 divided by 6780.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 26652 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -13749210 + 13749210 - 1251*j in the form u*j + t and give u.\nAnswer: -1251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4063, -8115, -12167, -16219, -20271, -24323?\n\"Answer: -4052*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 9*g**2 - 7*g - 3. Let s(c) = c**3 - 8*c**2 + 6*c + 2. Let m be (-3)\/2*56\/(-12). Let b be (3 + -2)\/(1\/6). What is b*r(u) + m*s(u)?\nAnswer: u**3 - 2*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4074088384 to the power of 1\/2, to the nearest integer?\nAnswer: 63829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2963 + -0.296298063. Round m to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(2 + -4 - -3). Let j = 16 + f. Suppose 16 = 2*v + 5*y - j, -4*y = 4*v - 56. Calculate the greatest common factor of v and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.92491ml in litres?\nAnswer: 0.07992491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 5 (b) -2\/7 (c) -4\/33 (d) 0.1 (e) 0.042\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 8*d. Let l be q(6). Let a = l + 20. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -6*q**2. Let p(m) = 17*m. Give p(n(u)).\nAnswer: -102*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -791*p - 188*p**2 + 172*p**2 + 791*p.\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7\/12 + 1\/12. Let s(x) = -x + 4. Let j be s(7). Let i be -1 + 18\/15*1. Which is the nearest to y? (a) -0.1 (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 63976457*l**4 + 61816522?\nAnswer: 255905828*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 + 18*h + 30. Let o(q) = -5*q - 1. Determine o(l(y)).\nAnswer: 10*y**2 - 90*y - 151","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22443749 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 12:30 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5488?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n - 16. Let h be f(8). Suppose u + 0 = -3*r + 14, 4*r + 3*u - 22 = 0. Find the second derivative of -3*p**r - p + h - p**4 + 0 wrt p.\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 421 - 406. What is the first derivative of v*g - 5*g**2 + 192 - 2*g - 9*g - 5*g**2 - 2*g wrt g?\nAnswer: -20*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304401073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146750 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-36 - -31)*4\/5. Calculate the remainder when ((-5)\/(-10))\/(r\/(-832)) is divided by 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, l: 1, a: 1, x: 2, y: 2}. What is prob of sequence yl?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q**2 - 2*q. Suppose -6 = -8*n + 9*n. Let a(z) = -13*z + 5. Let f(k) = 16*k - 6. Let d(t) = n*a(t) - 5*f(t). Determine w(d(u)).\nAnswer: -20*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -400, 0, 0.01, 1\/61, 0.08, 5 in decreasing order.\nAnswer: 5, 0.08, 1\/61, 0.01, 0, -400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10150 = -315*w + 314*w. Is w a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14 or 4221\/305?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 646*m - 320*m + 2*a = 327*m, m + 5*a = 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*sqrt(44) + ((sqrt(4400) - -3*sqrt(4400)) + sqrt(4400) - sqrt(4400)))\/((2*sqrt(12)*-5)\/(-4*(sqrt(12) - sqrt(3)))).\nAnswer: 56*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 120229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 4:13 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -10. What is the least common multiple of c and 17?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 - 2032250?\nAnswer: -2032330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -10*z**2 - 5*z + 7. Let i(p) = -9*p**2 - 5*p + 7. Let j(b) = -3*i(b) + 2*q(b). Let o(h) = h**2 + h - 1. Calculate j(n) - 6*o(n).\nAnswer: n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82123, 82124, 82125?\nAnswer: 82126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -59602000 rounded to the nearest one million?\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*q + 11 = 0, 0 = 2*n - 5*q - 11 - 1. Let f be 0\/((-12)\/4 - -1). Put n, f, 2 in decreasing order.\nAnswer: 2, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -74, -5, -4 in decreasing order.\nAnswer: 3, -4, -5, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**5 - 162*n**4 - 632781*n**3 - 1265064*n**2 - 632448*n = 0.\nAnswer: -432, -1, 0, 488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -79520 (base 10) to base 14.\nAnswer: -20da0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 49917466 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2973272 divided by 4.\nAnswer: -743318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 0.2. What is the nearest to 1 in 2, -1, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 + (34\/(-14) + 2 - (-414518)\/749) is divided by 34.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*y**2 + 22*y**2 - 12*y**2)*(11 - 6 + 1)*(5 - 2 - 2)*(3 + 1 - 2).\nAnswer: 336*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31085908621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 315675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17, 56, 129, 242, 401?\n\"Answer: y**3 + 11*y**2 - y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -354 - 241*b + 95*b + 146*b - 269*b**2 wrt b?\nAnswer: -538*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from kgvgegekigkkvk.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 2, h: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*i + 12 = 0, -5*p + 35 = -3*i + 13. Suppose -2*a - 5*h = 25, 0 = p*a - 4*h - 6 - 14. Suppose 0 = -a*b + 5*b + 2650. Round b to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pliu when four letters picked without replacement from {i: 2, u: 1, z: 1, l: 2, p: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 6\/11*w**5 + 216\/11*w + 666\/11*w**3 + 654\/11*w**2 + 234\/11*w**4.\nAnswer: 6*w*(w + 1)**3*(w + 36)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*x - 4 + 4 + 33*x)*(2*x + 0*x - 4*x) in the form h*x**2 + w*x + j and give h.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11785, 11716, 11519, 11128, 10477?\nAnswer: 9500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**5\/120 + 13*u**4\/6 - 1265*u**3\/12 - 1723*u**2 - 2*u - 1. Factor a(w).\nAnswer: (w - 11)*(w + 115)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3594 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 0 + 19\/20*l**5 + 3*l - 19\/6*l**3 + 0*l**2 + 0*l**4. Find the second derivative of h(p) wrt p.\nAnswer: 114*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.8, 2\/17, 271?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1 + 2*f + f - 3*f - 4*f. Let o(g) = g + 1. Let i(w) = 2*w + 2. Let v be i(-2). Give v*o(q) - c(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.19 rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51618.5 - -51619. Let l = -0.31 - -0.01. Let r be 34\/(-21) - 2\/(-7). What is the closest to -3 in r, l, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.01, 4, -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (7740\/731)\/15*(-2)\/8\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12767.68 minus -0.09619949?\nAnswer: 12767.77619949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssse when four letters picked without replacement from zszseeeesse?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 64 = 4*q, -2*q - 101 = 3*q - g. Is (1 - 16)\/(q\/28) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*b**2 - 29 - 15 + 46)*(2*b + 3*b - 4*b).\nAnswer: 74*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75 or -5559\/73?\nAnswer: -5559\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 6. Let u = y - -3.9. Let t = -0.03 - 0.17. Which is the closest to u? (a) 3 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 6430 - 585 = 0. Let v be n\/18 - (-1)\/2. Let x = v + -755\/9. Find the common denominator of 1\/16 and x.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33471511*g**2 - 13310290*g wrt g?\nAnswer: -66943022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1200*r**2 + 41*r**2 + 113*r**3 + 74*r - 74*r.\nAnswer: 113*r**3 - 1159*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -521\/16 (b) -1 (c) 0.2 (d) -66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 1 - -5)\/(-1). Let w be (2\/q)\/(1\/(-7)). Let f be -5 + (w - -1) + 2. Solve -j + 5*j = f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b + 10 = 5*p + 5*b, b + 1 = 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2) + -5 + 1 + sqrt(2299))**2 - (sqrt(171) - -6*(-3*sqrt(171))**2).\nAnswer: -6482 - 99*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkvvk. Give prob of picking 2 v.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 9*j - 2*j. Is (1 - (748 + -1))*j\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4018\/(-308) + 13)*(-188)\/235?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.5, -45, 5 in ascending order.\nAnswer: -45, -2\/7, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = -2*t + 83. What is the highest common divisor of 52 and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199\/(-6)*2388\/(-8) - 45\/36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -161485 (base 14) to base 12\nAnswer: -3128a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 850, 843, 832, 817, 798, 775, 748?\n\"Answer: -2*t**2 - t + 853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/16 in 0.1, 0.02, -0.5, -0.12, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 8*v**2 - 12*v + 3. Let p be d(-6). Suppose -10 = -p*m - 4. What is the third derivative of 2*f**6 + 6*f**6 + 36*f**2 - 51*f**m wrt f?\nAnswer: 960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101 (base 2) to base 3.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433186091.\nAnswer: 13, 251, 132757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38862 - 26642. Is z a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101948, 102199, 102450, 102701, 102952, 103203?\nAnswer: 103454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -21, -1, 3\/7, -0.5, 35, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 3:41 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130194 and 4?\nAnswer: 260388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -12, 3*t + 6*m - 2712 = m. Suppose -80 = 7*v - t. What is the highest common factor of 26 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 5*v + 14 + 8, -4*v = 4*u + 16 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6139, 14621, 23103, 31585, 40067, 48549?\nAnswer: 57031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-50) + 36\/35?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 5*c + 2*t, 10 = -5*c + 4*t. Suppose 263 = c*y + 71. Suppose 23*u - y = 19*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3 - 4*t + 1 + 3*t - t**2. Let n be m(0). Let q = 98 - 58. Calculate the highest common divisor of n and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 8*z**2 + z - 4. Calculate the remainder when 116 is divided by g(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75119 is divided by 114?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 7*b + 3. Let d(g) = g**3 - 7*g**2 + 9*g - 2. Let u be d(6). Suppose -5*t - u = 4*k - 0, -3*k - t = 23. Calculate r(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + g - 9 = 3*g, 5*l + 6 = 3*g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7314 is divided by 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97\/2 - 50. What is the closest to 2 in x, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-136)\/(-578)*((-50)\/(-4))\/5?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -12221201?\nAnswer: 12221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-252*m**2 - 23506 + 23506)*(3*m**2 - m**2 - 4*m**2) + 0*m**4 - m**4 + 2*m**4.\nAnswer: 505*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 10025402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*f**2 - 1891 + 5682 - 1899 - 1892 - 164*f**2.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 4. Let f(d) = -d**2 + d - 1. Let x be f(y). What is the tens digit of ((-10)\/3)\/(x\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**2 - 718*u - 4928 = 0.\nAnswer: -352, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18\/109 + 1961\/654. Let u be (-78230)\/7548 + 44\/(-374). Let q = u - -24\/37. Find the common denominator of c and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833 a factor of 787099729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 5*s**2 + 1. Let a(x) = 5*x**3 - 26*x**2 - 5. Let y(f) = 2*a(f) + 11*z(f). Suppose -7*u = 8*u - 45. Give y(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31486948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 8:34 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -171 (base 11) to base 6\nAnswer: -531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 11:34 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28359 - 25519. Calculate the highest common divisor of 923 and y.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304 = 55*o - 1074. Calculate the remainder when (-1 + o\/6)\/(8\/12) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 472353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -170370012 divided by 7772?\nAnswer: -21921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.35 - -28.15. Let o = 25 - a. Let z = -3.499957 - o. Round z to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1081 divide 58828303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, -1, -0.1, 1\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 - 5*n**2 - 4*n**2 + 5*n.\nAnswer: -8*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 580*j - 97*j + 31157 = -3494*j - 171670 for j.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 0. Let k be 0 - (2 + 3\/(-2)). Which is smaller: k or z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.02, 3, 9, 0.4 in ascending order.\nAnswer: -2\/5, 0.02, 0.4, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g**2 - 11*g + 64. Let h(y) = 20*y**2 + 33*y - 192. Let x(f) = 4*h(f) + 11*v(f). What is the hundreds digit of x(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1502 (base 11) in base 7?\nAnswer: 5436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3946 and 9255343.\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3) + 45\/27. Let r = f - -1. Suppose -r = -4*k + 1. Solve -3*v - 2 = k, 2*v - 6 = -4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.42 less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -s + 4*a, 0 = -4*s + 6*a - 2*a + 20. Let n be 4\/10*(-5)\/(-1). Let c be (21\/7)\/(3\/n). Solve -l - c = -s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15808\/(-11115) - (-2)\/9. Which is the second biggest value? (a) i (b) -3 (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2024\/736)\/((-3)\/((-72)\/319)).\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence njm when three letters picked without replacement from {n: 4, m: 9, q: 1, j: 2}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13ba9 (base 13) to base 3\nAnswer: -1212221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/24)\/((-2)\/(-32)). Let h = 220 - 218. Solve 4*t - h*z = 2*t - 6, -2*z + d = -4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 125\/3017348 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 934673 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 6:55 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j. Let m(n) = n**3 - n**2 - n + 3. Let r be m(j). What is the highest common factor of r and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -9670583 and 14.03709.\nAnswer: -9670568.96291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 924\/(-42)*3\/24*4*1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 9*t - 15. Let p be r(-6). Let l be (14\/p)\/(5\/30). Suppose l - 118 = -6*z. Calculate the least common multiple of 10 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/492 and -25\/720042.\nAnswer: 1440084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 8*p + 5. Let m be o(6). Let c = 7 + m. Let v be -5 + (6 - 2) + 2. Which is greater: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 189 + 13. Let w be 7\/63 + n\/(-18). Solve d = w*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 7*k = 5, 84864*k = 2*m + 84866*k - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -31*p + 12*p + p**2 + 12*p + 5. What is v(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 5*k**2 - 4*k + 4. Let n(j) = -4*j**3 - 2*j**2 - 2*j + 1. Let t be n(-1). Calculate r(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.43 + -1.4. What is the nearest to 0 in -0.4, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 120121002?\nAnswer: -120121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 120 - 99. Let x(b) = -4*b - 35. Let u be x(-10). Sort u, -3, w in decreasing order.\nAnswer: w, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.54+-0.03\nAnswer: -6.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -875 by -7.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2\/2 + 4391*d\/2 + 492735 = 0?\nAnswer: -214, 4605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/113 - 232\/339. What is the closest to m in 0.01, -1\/5, 1\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 804 + -809. Let n = -1 + 1. Put n, -2, p in decreasing order.\nAnswer: n, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -108, 3\/2 in decreasing order.\nAnswer: 3\/2, 1, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -238468, -238470, -238472?\n\"Answer: -2*s - 238466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + (4 + -2*sqrt(1331)*5 - (-1 + sqrt(1331) + 5 + 4 + -1*sqrt(1331))))**2.\nAnswer: -532404 - 880*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d**3 + 4*d**2 + 5*d + 2. Suppose -28 = -3*r + 4*t + t, -2*r - 2*t + 24 = 0. Let y(i) = 14*i**3 - 11*i**2 - 14*i - 5. Determine r*v(g) + 4*y(g).\nAnswer: g**3 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2071 - -2062.03. Let z = d + -0.58. Round z to one dp.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f + 33*f - 7*f - 194 - 20*f in the form k*f + c and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 - 114 - 117 + 354 - 123.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466371?\nAnswer: 3, 23, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/35))\/(o*o**(-11\/5)))\/(o\/(o\/(o*o\/o**(-3\/5)*o)*o))**25 assuming o is positive.\nAnswer: o**(-440\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5854557.1 times -0.5\nAnswer: -2927278.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 1445*z**4\/4 + z**3 + 3401*z**2\/2 - 1979. Find the second derivative of a(x) wrt x.\nAnswer: 8670*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and -77.\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.232 less than 1162.78?\nAnswer: 1118.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 7. Let c = -12 + j. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -99 + l**2 + 99 + (-2*l - l + 2*l)*(-6*l + 4*l + 7*l).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5933, 6861, 7787, 8711, 9633, 10553?\n\"Answer: -k**2 + 931*k + 5003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30536\/15 - 2035. Does b = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 + 12 - 55) + -59 + 7\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5109107 divided by 4\nAnswer: -5109107\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29986?\nAnswer: 2, 11, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15304 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-84))\/((-2)\/(-7)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 19. Let a(m) be the first derivative of -m**4\/4 + 4*m**3\/3 + 3*m**2\/2 - 10*m + 12. Let n be a(4). What is the smallest value in p, n, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -122? (a) -2 (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10473 + 10473 - 191*c)*((-5 + 1 + 2)*(2 - 1 + 1) - 4 + 0 + 6) in the form l + v*c and give v.\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p**2 + 31*p - 10. Let j be d(-13). Let r be j\/252 + ((-8)\/14)\/(-2). Solve r*q - q = 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-10) - (-2)\/5. Suppose 4*v - 2 = 2*v, v - 19 = -3*h. Let g = p + h. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 7 + 60 + 3 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.205 - -3.335. Let g = v - 3.3. Let h = -0.03 + g. Which is the nearest to h? (a) -3\/7 (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -10*z + 4. Suppose -6*n + 5*n - 9*n = 0. Let g be w(n). Solve g*r = 3*a - 1, -2*a + r = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 42 - 66*x.\nAnswer: -66*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 4:21 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3 + 7 + (0 - (-3 - -12)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.0401, 26, -10, -4, 1?\nAnswer: 0.0401","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33172720 a multiple of 2072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 59 = 3*i + 1, -4*i - 136 = -2*f. Suppose 0*l + 5*q + 39 = 4*l, -2*q - 54 = -4*l. What is the highest common divisor of l and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 699201.\nAnswer: 3, 77689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 339443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 + 235 - 65 - 52 - 7199*q - 61 + 7262*q.\nAnswer: 63*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 1\/75*m**6 + 1 - 4\/15*m**3 + 1\/5*m**2 + 2*m + 1\/5*m**4 - 2\/25*m**5. Let p(i) be the first derivative of g(i). Factor p(d).\nAnswer: 2*(d - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1614*m**3*o**2 - 20*m**3 - 33*m**2*o - 15*m*o**2 - 29 wrt o?\nAnswer: 3228*m**3 - 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 - 34*z**2 + 29*z + 529. Let b be s(-17). Let j(t) = -109*t + 30. Let a be j(-6). Calculate the greatest common divisor of a and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 5*v + 2243, -7*u - 4*v + 2797 = -2*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5305.469l to millilitres.\nAnswer: 5305469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x - 29. Let w be d(-4). Sort 1, w, 6 in ascending order.\nAnswer: w, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.784 (b) 1\/12 (c) 2\/5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*q**2 + 2*q**2 + 10*q**2 - 4*q**3 to the form l + b*q + c*q**2 + x*q**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 250 - 120. Let y = s + 123. Let w = y - 142. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 640 and 26560.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50705?\nAnswer: 5, 10141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.3 - 0.3. What is the closest to -2\/13 in 0.2, h, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -s**3\/3 + 16*s**2 - 87*s + 343. Factor t(m).\nAnswer: -(m - 29)*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1707048.\nAnswer: 2, 3, 7, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -19261030796.9 + -0.05?\nAnswer: -19261030796.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) 5 (c) 0.5 (d) -4 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16866 and 84654.\nAnswer: 79320798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*y + 6. Solve 5*q - 2*c + y*c + 8 = 0, -c - 6 = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.38801 and 7.8?\nAnswer: 7.41199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 275547, 1102166, 2479857, 4408620?\n\"Answer: 275536*h**2 + 11*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-6*(-1 + sqrt(2736)) - (sqrt(2736) - (sqrt(2736) + 3))*-6)*3*4*-5)**2.\nAnswer: 55987200*sqrt(19) + 3195936000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3110.073 centuries in months?\nAnswer: 3732087.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -70*a + 872. Calculate h(34).\nAnswer: -1508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*u + 69*u = 71*u - 3488 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*u + 13001 = 0, 112*p - u + 21680 = 117*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2146 and 27365125.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 17, w: 1}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54396?\nAnswer: 2, 3, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 876\/528 - -11 - ((-63)\/(-33) - 2) and 3\/1492?\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15028*s**3 + 3*s**2 - 3*s**2 - 15032*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*d - 25*d + d)*(1 - 1 - 2*d).\nAnswer: 114*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 42*m**2 - 3. Let w(i) = -42*i**2 - 2. Calculate -4*o(d) + 6*w(d).\nAnswer: -4*d**3 - 84*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + s**2 - s**2 + (s + 0*s + s)*(-2 + 2 + 2*s) + 93*s**2 + 25*s**2 + 33*s**2 + (-2*s + 2*s + s)*(1 - s - 1))*(s - 3*s**2 - s).\nAnswer: -468*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3\/7, 0, -0.08, 168, -1\/6 in ascending order.\nAnswer: -1\/6, -0.08, 0, 3\/7, 1, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 33 + -10 + 2 - (3 + 1 - -5).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*g**3)*(-98807 + 182*g + 98807).\nAnswer: -364*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 4*k - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.766 + 6.765992457. Round a to seven decimal places.\nAnswer: -0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.867 + 0.607. Sort 2, t, 1\/3, 4 in descending order.\nAnswer: 4, 2, 1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, z: 12}. What is prob of picking 2 z and 1 w?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13577 - 40348\/3. Let t = 129 - f. Which is the third smallest value? (a) 4\/5 (b) -0.1 (c) 0.2 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.2, -33, 124.4 in increasing order.\nAnswer: -33, 4.2, 124.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 12.5 and 1193.85.\nAnswer: 1206.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2597.6 to the nearest ten.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**5\/150 + n**4\/30 - 12*n**2 + 14*n. Let s(g) be the first derivative of d(g). Factor s(l).\nAnswer: -2*l*(l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 421 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -77915375 rounded to the nearest ten thousand?\nAnswer: -77920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - m. Suppose 910 - 946 = -9*n. Let q(x) = x. Give n*q(p) + 4*b(p).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7528*h**3 - 5173*h**3 + 1524*h**3.\nAnswer: -11177*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 7:14 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -11*c + 13. Give v(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26832 - -26829. Sort -11, -100, q in decreasing order.\nAnswer: q, -11, -100","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1150?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -226*g + 2. Let l(w) = -5*w + 4. Let m(h) = -48*h + 20. Let j(k) = -5*l(k) + m(k). Calculate o(j(q)).\nAnswer: 5198*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 5:01 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/9, 5, 1\/110, 0?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 117103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 6:22 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 8:19 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = f + m - 62, -m = f - 22. Suppose 5*b + 35 = -0*a + a, 5*b + f = -2*a. Let z = -1 - b. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q - 5. Suppose -a + 3*u - 9 = 0, -a - 2*u + 7 = -u. Let i = -8 + a. Let r(s) = -6*s - 4. Let c(m) = i*j(m) + 6*r(m). What is c(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3*h**2 - 10*f**3*h + 7*f**2*h + 2*f - 2*h**2 - 83*h wrt f?\nAnswer: -12*f*h**2 - 60*f*h + 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2003, 1988, 1951, 1880, 1763, 1588, 1343?\nAnswer: 1016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2579962 and 117271?\nAnswer: 2579962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 527 (b) -0.32 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1687352 (base 9) to base 5.\nAnswer: -220143431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 27250*u**2 - 109074*u - 572418.\nAnswer: 2*(u - 7)*(u + 3)*(u + 13629)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1262.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from eeqyqqqkyekkqqy?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in -0.08, -2, 1, -76?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-22) - 93\/33. Let t = -1 - h. Let j be 0\/(-1) - (-1)\/2. Which is bigger: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 17*f**2 + f - 12. Let u be a(-4). Let w = 7 - 172. Let q = u + w. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1325 * -25194\nAnswer: -3338.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o - 21*o + 10 = 0. Let u(l) = 3 - l - 3. Determine u(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (4\/14 - 44\/7). Let i(w) = -66*w**2 + 69*w**2 + 4 - g. Let a(s) = 3*s - 5*s + 0*s. Calculate i(a(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 554 + -261. Let x = z - 209. Calculate the remainder when x is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7405, 14820, 22235, 29650, 37065, 44480?\n\"Answer: 7415*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002619134 to seven dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 135235 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(99)\/sqrt(9)*3 - sqrt(484)\/sqrt(11))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrkh when four letters picked without replacement from {v: 1, y: 3, o: 1, k: 3, h: 2, r: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 307.33 to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 10*s**2 - 15*s - 59. Calculate d(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*q - 19. Suppose q*b - 3*i = -47599994, -5*i + 2*i = -b - 23799994. What is b rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.35952 to 1 decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -870 + 16*y + 2*y + 870. Let f(j) = -j. Calculate f(z(o)).\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 31*y**2 - 2971*y - 3351. Calculate q(97).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50885 - -231526. Suppose -3*j + 2 = -5*q, -5*j + 8 = -4*q - 4. Suppose -q*i - 1539359 - t = 0. Round i to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, v: 2, q: 8, m: 2, p: 2, t: 2}. Give prob of sequence bqmt.\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48\/12 + 6*1*(-15622)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 14 = -v, 0 = 3*v - 0*s - s + 10. Is (789\/(-12))\/(v\/8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 25?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 82 - -1 - (-10 - 11 - (-7 + -14))\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 3*i + 2)*(0*i**3 + 30*i**3 - 4*i**3) as n*i**2 + j + t*i**4 + b*i**3 + o*i and give t.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -7 - ((14 + -4 - -2) + -13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364 = -8*b + 52. Let h = b - -46. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.036 and 37.\nAnswer: -1.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3, 4, 7, 12, 19, 28?\n\"Answer: v**2 - 2*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4086 a factor of 54078210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0492 and -3.\nAnswer: -3.0492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124747.\nAnswer: 7, 71, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -834 + 834.93. Which is the third smallest value? (a) 0.5 (b) -0.1 (c) 5 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158.97462 rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -458440*p**2 + 198329*p**2 + 260113*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 + 18*v**2 + 16*v - 5. Give w(10).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**5\/11 + 1676*v**4\/11 - 237910*v**3\/11 + 61100*v**2 + 3706872*v\/11 + 2795184\/11 = 0.\nAnswer: -2, -1, 6, 177, 658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 5*b**2 - 11*b + 36. Let t be a(6). Solve 0 = -t*u - 0*u + 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110001 (base 2) to base 8\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 6 + -6 + (-6 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 8*q**2 + 5*q + 8. Let i = -19 + 27. Is 12 a factor of f(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**8\/28 - 169*g**6\/30 + 179*g**4\/3 - 502*g. Find the third derivative of l(j) wrt j.\nAnswer: -240*j**3 - 4056*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382*v + 11097 - 528 = -942 - 1477 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 + -64 - -10) + -12.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 249702*d**2*t - 5915*d**2 + 6 wrt t.\nAnswer: 249702*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24140 is divided by 6011?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/4 + (-1)\/(-2). Let n(g) = -9*g + 6. Let h(t) = -28*t + 18. Let d(j) = 5*h(j) - 16*n(j). What are the prime factors of d(u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1897 - 115439*c**3 - 115447*c**3 - 9*c**4 + 230884*c**3 - 2*c with respect to c.\nAnswer: -36*c**3 - 6*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 + (4 + -5 - (-62)\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 - -5115410?\nAnswer: 5115342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*j**3\/11 + 364*j**2\/11 - 182*j\/11 - 20 = 0. Calculate j.\nAnswer: -10, -11\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 0*o + 4*o - 4*o**2 - 3*o - 2*o**2. Let x be 0 + (-4)\/(-24) + (-13)\/6. Let q be x\/(-3) + 35\/105. Give k(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.65 - -10.2626. What is p rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 205986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 75, 93, 105, 111, 111, 105, 93?\n\"Answer: -3*y**2 + 27*y + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12680 by -1.\nAnswer: -12680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a microgram in nanograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 24.9999968. What is p rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5971630.\nAnswer: 2, 5, 7, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-31)\/(-8) - ((-297)\/72)\/33. Let b(x) be the first derivative of -6 + 0*x - 5\/2*x**2 + 0*x**3 + 2*x**m. What is the second derivative of b(l) wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-52)\/(-8)*(-3 - -1). Let z = j - -14. Let n(w) = -w**2 + w. Let m(f) = -30*f**2 - 3*f - 15. Let d(v) = z*m(v) + 3*n(v). Differentiate d(u) wrt u.\nAnswer: -66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6029 and -42206\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8011 (b) 44 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.7 + -3.8. What is the nearest to -0.3 in 2\/7, r, -3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 3)*(-6*v - v + 3*v).\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 - 12963*j + 103825. Determine d(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2899, -2242, -473, 2960, 8609?\nAnswer: 17026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4\/17)\/a**(-11)*((a\/(a\/(a\/(a*a\/(a\/a**(-2\/7)))))*a*a)\/a)**(-16\/7) assuming a is positive.\nAnswer: a**(6519\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 48194 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 209 = 7*n. Suppose n*i - 27 = 204. Solve -3*g = -2*o + 23, o = -4*g - g - i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15, -178, 368.\nAnswer: -178, -15, 0, 368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 133, 472, 1045, 1858, 2917, 4228, 5797?\n\"Answer: q**3 + 111*q**2 - q + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b**33\/b)\/b*b**25 assuming b is positive.\nAnswer: b**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77767 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2. Let s(o) = 274196173*o. What is s(q(t))?\nAnswer: 548392346*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -142*x - x**5 + 142*x - 2*x**4 + 2*x**4 - x**5 + (x + x - 3*x)*(2 - 2 + x**4) - 4*x**5 + 3*x**5 + 0*x**5 + x**5 - 2*x**5 - x**5.\nAnswer: -6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, 37, 119, 275, 529, 905, 1427, 2119?\n\"Answer: 4*f**3 + f**2 + f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4402297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 983.54 litres?\nAnswer: 983540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 5*m**2 + 7*m - 22. Give r(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 f, and 1 w when three letters picked without replacement from {t: 1, j: 2, f: 2, i: 1, w: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 28 - 21. Suppose -r = -3*f - 1. What is the third derivative of 18*c**5 + 25*c**5 - 14*c**5 - 27*c**f wrt c?\nAnswer: 1740*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -792, -1482, -2172?\nAnswer: -2862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 250, 373, 496, 619, 742?\nAnswer: 865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**2 + 27*r + 27. Give j(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 141\/54*2 - (-2)\/(-9). Suppose -248 = -o*h + 227. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 12:33 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q - 2. Let j(p) = 2*p - 1. Determine 6*g(y) - 17*j(y).\nAnswer: -4*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*z + 20, -5*j = -4*z - 4*j - 4. Let f = 2 + 0. Solve -f = -l - z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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 remainder when 343 is divided by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 436, -13, -5, -2 in descending order.\nAnswer: 436, -2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2490.2463 seconds?\nAnswer: 41.504105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 120271115 greater than or equal to 120271117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*b + 6*b - 4*b**2 + 29 + 2*b**2 + 29*b - 7.\nAnswer: -2*(b - 11)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1188)\/sqrt(3) - sqrt(11)) + -1)*-2 - (5*(sqrt(11) + 1)*2 + 1))*6.\nAnswer: -120*sqrt(11) - 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2570835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (144\/(-40))\/1*(-245)\/441. Factor -160\/3 - 30*h - 5\/3*h**b.\nAnswer: -5*(h + 2)*(h + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -123437\/1001520 - -42\/1391. What is the common denominator of j and -37\/360?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-9)*(91\/13)\/(-14).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-6))\/((-2)\/6). Let h be (k\/6 - (-11)\/66)*-20. Let l(v) be the first derivative of -9*v**2\/2 - 2. Let i(m) = 5*m. Determine h*i(q) - 6*l(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*y**3 + 115*y**3 + 71*y - 71*y + 11.\nAnswer: -50*y**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.091 - 1.1676211.\nAnswer: -1.2586211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12767 and 20277?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 155911, 35 in descending order.\nAnswer: 155911, 35, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, q: 3, e: 7}. Give prob of picking 1 c and 2 e.\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1452 + 2758. Calculate the remainder when p is divided by 132.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, -2, 2, 3 in ascending order.\nAnswer: -9, -4, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/3 + -1)*-1. Let f be -2*(-6)\/4*a. Suppose 0 = -x - f*x + 204. Calculate the highest common factor of 34 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -234.87 + 208.8. Let h = q - -26. What is the third smallest value in h, -0.3, 5\/4, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 0*f + 1. Suppose 0 + f = -q. Let t(r) = 2*r**2 + r. Let y be t(q). Is y not equal to 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 16 + 0)*(4*x + x + x)*(-4*x**2 + 2*x**2 + x**2).\nAnswer: 132*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1507097189.\nAnswer: 13, 127, 912839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 5:09 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -289*o - 10. Let i be r(-8). Suppose 2898 = -5*v - i. Find the common denominator of v\/225 + 2\/5 and -7\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 11 - 57*y**2 - 31.\nAnswer: -57*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -60, 155, -4, 5 in descending order.\nAnswer: 155, 5, 2, -4, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2076 and 5?\nAnswer: 10380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4976216137?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) -69 (c) -0.68 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 7 - 5*z + 1 - 3.\nAnswer: -5*z + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3156*l + 205354. Give f(-65).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 7, 296.\nAnswer: -3, 2, 7, 296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 12*v**2 - 12*v + 9. Let t be n(-13). Calculate the remainder when ((-2)\/t)\/((-5)\/(-260)) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a - 2. Let v be o(-3). Let c(m) = m**2 - 8*m + 9. Let d be c(v). Find the second derivative of -5*l**2 + l**2 + 4*l**d - 4*l - l**3 wrt l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23165 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*l - 13170 = 43*l. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((11\/(-33))\/((-6)\/12))\/(8\/18)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22155 - 15931. List the prime factors of o.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/1 + (-17)\/9. Let u = 31.83 - -1.17. Let i = 37 - u. Sort q, i, -3 in ascending order.\nAnswer: -3, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 140 - 133. Let w(z) = -10*z**2 - 3*z - 3. Let p(u) = -23*u**2 - 6*u - 5. Let q(s) = o*w(s) - 3*p(s). What is q(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b + 4. Let r = 4 + -8. Let z(d) = -1 + 0*d + 0 + 4 - 2*d. Calculate r*z(k) + 3*j(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q**3\/6 - 3*q**2 + 3*q - 1. Let v(l) be the first derivative of x(l). Give v(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) -4 (b) 2 (c) -1 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)*b*b*b*b**0)\/((b*b**3\/b)\/b**(-1))*(b**(-5)*b*b**(1\/4))\/(b**(-1\/3)*b**1) assuming b is positive.\nAnswer: b**(-89\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 5*l - 15, 18*t + 0*l - 15 = -5*l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, n: 7, k: 5}. Give prob of picking 1 k and 1 n.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.07 + -0.93. Let y = 0.3 - 0.2. Let s = y - 0. Which is the second smallest value? (a) s (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13\/3 + -55\/12. Which is the closest to -1? (a) -2\/5 (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 + -56 - (-1 + 11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 801*c**2 - 245*c**2 + 1483*c**2 - 5.\nAnswer: 2039*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 142\/3408*(0 + -1)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 + 13*m + 32. Let a be -15 - -9 - (-5*1 + 2). Let b be l(a). Put b, 2, -3 in increasing order.\nAnswer: -3, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162456 and 31941944?\nAnswer: 7736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3*20.90094\nAnswer: 62.70282","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130, 547, 1256, 2257, 3550, 5135, 7012?\nAnswer: 9181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 645857, 645887, 645917, 645947, 645977?\nAnswer: 646007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -377648449 to the nearest one million.\nAnswer: -378000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 14*w**2 - 2*w - 21. What is the smallest common multiple of b(-14) and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003861418781 to four decimal places.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2*w + 2*w - 52, -5*w + 20 = 0. Let u be (-4 - -3) + 4*(-15)\/m. Solve u*g + 0*g + 2*d + 22 = 0, 0 = -4*g + d - 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from zzzkziiziiik?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -1538 and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 165.99 + 42.49. Let r = 209 - d. Round r to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 10*s - 8. Suppose -z - 313 = -5*r, 0 = -2*r + z - 0*z + 124. Suppose -15 = 3*b - r. Calculate the least common multiple of d(-8) and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j + 5*d = -30*j - 25, -4*d - 10 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*h**2 + 12*h**2 - 3*h**2 - 6*h**3 to i + v*h**2 + t*h + d*h**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/12*14\/(-35)*5. What is the nearest to -11 in s, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 77*p - 2. Let h(a) = -14*a**2 - 5*a + 7. Let j be h(2). Let d = -55 - j. Let x(b) = 1479*b + d - 1478*b - 4. Give x(n(t)).\nAnswer: 77*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.1, 2\/7, -0.3, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1667.\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h**(-1\/5)*h)\/h)*h**(-1\/10))**(-15)\/((h*h*h**(-2\/7)*h)**30\/(h**5*h**(-2\/11))) assuming h is positive.\nAnswer: h**(-14339\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 72*o - 80. Let f be n(5). Suppose -4*s = -k + 253, 2*k - f = -3*s + 248. Is k a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -19. What is the nearest to 2\/7 in l, 6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 1096?\nAnswer: 23016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 i when four letters picked without replacement from biiilbiiblbiibbiii.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -2*x - 4, -4*a - 10 = a - x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, q: 2, j: 3, k: 1}. What is prob of picking 1 j, 1 k, and 1 q?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 16*c**2 - 45*c + 109. Calculate m(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 596123.467 - 0.5?\nAnswer: 596122.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2\/125 of a kilogram?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -71, -200, -315, -416, -503, -576, -635?\n\"Answer: 7*h**2 - 150*h + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjuujj. Give prob of sequence jj.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 8*g**2 - 13*g + 32. Suppose -d - 4*i - 1 = 4, 0 = -3*d - 4*i + 17. What is the tens digit of q(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**7\/1050 - 11*i**6\/150 - 47*i**5\/25 - 44*i**4\/3 - 160*i**3\/3 + 13*i**2 - 7*i. Determine u, given that r(u) = 0.\nAnswer: -20, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18770981941 + 18770981707.811416554. Let k = -1.188573146 - s. Let t = k + -232. Round t to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 2*r + 4*k, -4*r - 4*k - 24 = -k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 2310014396.\nAnswer: 2310014398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -80 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5123 by 109.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v - 6. Let w(m) = -6*m + 5. Let s(d) = 3*p(d) + 4*w(d). Let u(x) = 4 - 4 - 4*x + 2. What is 3*s(l) - 2*u(l)?\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.828 - 1.528. Which is the third smallest value? (a) -0.3 (b) -0.1 (c) -0.03 (d) s (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200221012021 (base 3) in base 10?\nAnswer: 904102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2598.021 millilitres to litres.\nAnswer: 2.598021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9415*h**2 - h - 9405*h**2 + 6*h**3 + 4 - 7*h**3 in the form a*h**3 + y*h**2 + g + s*h and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b. Let o(t) = t. Let x(h) = 18*o(h) + 4*z(h). Let j(d) = 14*d**2. What is x(j(p))?\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 726 - 854 = x + 2*x - 7*o, 0 = -5*x + o - 32 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128598 + 56913 = 5*h - 55289. What are the prime factors of h?\nAnswer: 2, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.22 + -1.92. Let s be (-1)\/8*24\/(-9). Let n be (-1)\/(-3)*(-6)\/17. Put n, w, s in increasing order.\nAnswer: w, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270507 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 times -0.02465?\nAnswer: 2.1692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 2*x**2 - 41*x + 63. Does 13 divide c(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 0.23 (b) 172\/139 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 17*b**2 - 15*b - 6. What is the remainder when x(4) is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 233 + -217. What is the highest common factor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 18*i + 5. Give u(-16).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4177 + 0.441. Let l = 47.0767 + n. Round l to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 500 - 494.88. What is r rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(64)\/sqrt(4))\/sqrt(8) + sqrt(40)\/sqrt(5) + -1*sqrt(2) + -5 + (sqrt(8) + sqrt(2))*3)**2.\nAnswer: -1068 + 440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/4 - (-80)\/(-320). Let u(f) be the second derivative of -5\/2*f**j + 0 - 1\/6*f**4 + 0*f**3 + 8*f. What is the derivative of u(r) wrt r?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4 (b) 0.027 (c) -32\/3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 22808.3um?\nAnswer: 0.0228083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*g + 4*z, 0*z = g + z. Let k be (-1)\/((-8)\/26) + g. Let m = k + 1\/4. Which is the third biggest value? (a) 4 (b) m (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 divided by -8.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 1 - 16 = -4*w, -2*w = -5*p + 25. Let z(n) = 3*n + 5 - 2*n + 0*n. Let t be z(-5). Solve 0*h - h - p = t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnqneeeqeqcqqqbeee. What is prob of sequence bqne?\nAnswer: 49\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 384178, 384154, 384106, 384028, 383914, 383758, 383554?\n\"Answer: -d**3 - 6*d**2 + d + 384184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 5 (b) -1\/4 (c) -0.4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 721 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3456, 3482, 3526, 3588, 3668?\n\"Answer: 9*n**2 - n + 3448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-11 - -8) - (1 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36\/5 + 4\/5*h**2 - 24\/5*h.\nAnswer: 4*(h - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5260)\/29456*98\/(-10).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 4, v: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2. Let w(n) = 2*n + 19. Let f(t) = -3. Let z(y) = -5*f(y) - w(y). What is v(z(h))?\nAnswer: 4*h**2 + 16*h + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 26 = 5*f + 32, 3*f = -5*c + 74. Solve h + c = -2*h - 4*i, -h = -i + 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2733 + 2738. What is the nearest to 0.4 in 0.2, t, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30194*l - 30155*l = -273 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u + 7. Let m be k(4). Let s be m + 5\/(-30) + 1. Which is greater: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, a: 2, x: 3, b: 3, j: 1, m: 3}. What is prob of picking 1 b, 1 j, and 2 g?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 0 + 153*k**2 + 0*k - 1\/2*k**3 - 1\/4*k**4 + 11\/20*k**5. What is the second derivative of n(g) wrt g?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*w**2*z - 2*w*z**2 + 6*w - 221*z**2 wrt w.\nAnswer: 6*w*z - 2*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 0 - (-4 - -88 - (15 + -10 + 22))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 108\/(-5) + (5 - (-81)\/(-15)). Let k = m - -22. Solve s = -k*s - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 - 1\/2*u**2 - 2*u + 1\/2*u**3.\nAnswer: (u - 2)*(u - 1)*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*c + 11, 0 = -2*c + 4*c + 3*w + 5. What is the remainder when 12 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, z: 2, k: 4}. Give prob of sequence kakk.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21 + 1\/(-2)*0. Suppose 2*t + j = 53. Suppose c = t - 5. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 13.28. Let u = -0.11 - s. What is u rounded to 1 decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 9:18 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1865420 (b) 0.3 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20488 (base 12) in base 2?\nAnswer: 1010010010101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 2*w + 14. Let t be r(7). What is the greatest common factor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 26 = 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 264?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-3)*3394\/54304?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64 - (125 - 52)) + (-1 - 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 y when three letters picked without replacement from hhhhhhhhhyhhhhh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**5 - 2*c**2 - 3*c**5 - 3*c**5 wrt c.\nAnswer: -300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 13. Let i be m(11). Find the common denominator of i - (17\/(-4) - -1) and -57\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -6*j + 1. Let s(u) = -u. Let v(c) = 2*l(c) - 14*s(c). Give v(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -5*c**2 + 20*c - 25. What is the first derivative of s(o) wrt o?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*r = 0, -5*r + 699 - 703 = 4*y. Let l = 2.06 - 0.06. Let x = -8 + 6. Put l, y, x in ascending order.\nAnswer: x, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/6*54\/30.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(133)*1 - sqrt(133)) + sqrt(133) - sqrt(133) - sqrt(133) - sqrt(133)) + -5*2*sqrt(133))\/((sqrt(168)\/(-1*sqrt(3)))\/(sqrt(32)\/sqrt(64))).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + -7 + -18 + 42?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 12:01 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5059928 is divided by 269.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/90*27\/(-48).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115 + 45 - 78*r**2 + 76*r**2 - 411.\nAnswer: -2*r**2 - 481","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/66)\/(1\/((-15)\/10)). What is the third biggest value in y, -0.03, 0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39665635*o - 33699780.\nAnswer: -39665635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5213217388 to the nearest integer?\nAnswer: 1734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 188861813 to the nearest integer?\nAnswer: 13743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 10*p**3 - 36*p**3 - 1.\nAnswer: -26*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 d when three letters picked without replacement from {d: 1, j: 4, y: 4, s: 3, a: 1, m: 1}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-5) - 4*1\/(-10). Let o(k) = -16 - 11 + r*k - 3*k + k**2 - 11. Is 26 a factor of o(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/129 and -115\/36?\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 10 + 10 + 14 - 60 + 16. Let r = -23 + 16. Give y(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b*h*o**2 - 2*b*h*o + 2*b*h - 21*b*o**2 - 40*h*o**2 - 80*h*o - 60*o wrt o?\nAnswer: -6*b*h - 42*b - 80*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -264?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5)\/o**(-2\/17))\/(o**(-3)\/(o\/((o*o**(-2)\/o)\/o)))*((((o*o*o**(2\/33))\/o)\/o)\/(o**7\/o))\/((o**(-7)*o)\/o*o\/(o\/(o*o**(-6)*o)*o)) assuming o is positive.\nAnswer: o**(38087\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**3 - j**4 + j + 2*j**3 - j**4 + j**3 to the form c*j**4 + s*j**3 + n*j**2 + q + g*j and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/14? (a) -3\/8 (b) -0.2 (c) 2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111011 (base 2) in base 11?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 1 - 1)*(b - 3*b + 3*b) - 2*b**2 + 0 + 0 + 85*b**2 + 72*b**2 - 26*b**2.\nAnswer: 127*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -25*l**2 - 135555*l - 27110 = 0?\nAnswer: -5422, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 611 and 188?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 662, 2481, 5522, 9797, 15318?\nAnswer: 22097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*m**2 + 608 - 608.\nAnswer: -37*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3933786 and 738.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*u - 4*u. Let t(m) = -m**2 - 13*m - 25. Suppose 3*l = -x - 31, -5*x - 32 = 3*l - 3*x. Let s be t(l). Sort s, 0, u in decreasing order.\nAnswer: s, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(320) - ((sqrt(320) - (sqrt(320) + 1 - sqrt(320))) + 0)) + (sqrt(320) + 1*sqrt(320) + sqrt(320))*-1)*-6)**2.\nAnswer: -2304*sqrt(5) + 103744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.03, -81.4, 0.1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -143, -166, -187, -206, -223, -238?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 o when two letters picked without replacement from pyphyopypopk.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1101100010011101000110 (base 2) to base 9\nAnswer: -6608271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 2*b**2 - 16*b + 49. Let d be w(6). Is d + (-5 - -12) + -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 528*x**5 + 2*x**4 + 777*x**2 wrt x?\nAnswer: 31680*x**2 + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*d**3 - 3 + 573*d**3 + 6 + 7.\nAnswer: 706*d**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 610650*z.\nAnswer: -5*z*(z - 122130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -3 (b) 2.68 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62356 (base 7) to base 10.\nAnswer: 15280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-135)\/(-2)*54\/243.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/1000 and 0 + (-3)\/(-15) + (-517)\/(-10560)*8?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 8*z**2 + 10*z + 13. Let d = -5 + 7. Suppose 9 = -d*h + 3*v - 0*v, -15 = 5*v. Calculate the remainder when 6 is divided by y(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -262 + 508 - 244 + 5868*g + (0 - 1 - 1)*(-2 + g + 2) to v + w*g and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h - 2. Let j(t) = -9*t + 4. Let m(v) = -4*j(v) - 7*r(v). Let s be m(7). Solve 0 = 5*i - s*u - 10, -7 = -0*i - i - 4*u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5 - -1.86. Let k = s - -0.04. Which is the closest to -0.1? (a) -2\/7 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 260 + -270. Let i = d - -14. Solve -i*n = 3*n + 21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -8*m**2 + 3*m - 3. Let p be l(2). Let q = p - -49. What is the lowest common multiple of 4 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 4*i - 5*i)*(-i + 0*i + 0*i) + (-2757*i - 3341*i + 5622*i)*((3 - 1 + 1)*(-i - 3 + 3) - i + 3 - 3).\nAnswer: 1903*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24041, 48222, 72417, 96632, 120873, 145146, 169457, 193812?\n\"Answer: f**3 + f**2 + 24171*f - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -196 + 195.97. Suppose x = 2*w - 3*x + 8, -5*x + 12 = -2*w. Suppose -2*d = -u, -w*u + 8*u = -4*d. Which is the smallest value? (a) u (b) 0.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232052981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*t. Suppose 0 = -t*n - 4*n + 12. Factor -3\/2*k**2 - 1\/2*k**n - k + 0.\nAnswer: -k*(k + 1)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 41*c**2 - 15*c + 4. Let r be u(3). Calculate the greatest common factor of r and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -99*g**2*t**5 + 87*g**2*t - 8*g**2 - 23*g*t**5 wrt t?\nAnswer: -1980*g**2*t**3 - 460*g*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)\/(sqrt(12) - sqrt(48)) - sqrt(21))*-1)\/(sqrt(7)*-2*2 - (1*sqrt(1008) - sqrt(1008))).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31014 and 266688.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7146 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6028*q**2 - 30*q**3 - 6028*q**2 + 32*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -206124*z**2 - 13*z - 15. Let n be r(-7). What is n rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4\/585 - 23\/195. Let g(t) = t + 5. Suppose -6 - 19 = 5*d. Let x be g(d). What is the closest to p in -1, 0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125807, 125797, 125789, 125783, 125779, 125777, 125777?\nAnswer: 125779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 + -72. Suppose 3*v - 5*w = 173, a*w = -v + 81 - 5. Is 23 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**5 - 4*k**4 + 54*k**3 + 16*k**2 - 136*k - 96 = 0.\nAnswer: -6, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -19, -2.\nAnswer: -19, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -216 times 0.1?\nAnswer: -21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 13*x - 52 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3.91 or 0.131794?\nAnswer: 3.91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2)*(9 + -19). Suppose -2*w = j*o - 198 - 24, o = w - 125. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 162*t**2 - 1. Let w be ((-10)\/(-20))\/((-2)\/(-12)). Suppose -3*i - 4 = c + w, -13 = -3*i + 4*c. Is v(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**3. Let z be m(1). Suppose 28*w - 506 = 5*w. Suppose -w = z*n - 6*n. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -35*b**2. Let x(h) = -3 - 3 + 1 + 23 - 14 + 7*h**2. Calculate x(k(v)).\nAnswer: 8575*v**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/(-4))\/(-3) - (14 + -22 + 12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -21*r - 99. Let y(s) = 136*s + 644. Let a(k) = -32*u(k) - 5*y(k). What is the remainder when 297 is divided by a(-14)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1547288654?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 191.31 + -0.31. Let y = k + -195. What is the closest to 0.1 in -0.53, 4\/7, y?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 0*q**2 + 3*q**2)*(34 - 3*q**3 - 34).\nAnswer: -9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**2 - 45*j + 108*j - 63*j.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/9? (a) 1\/2 (b) 0.4 (c) 0.2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-75))\/((-8)\/(-200)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in millimeters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 38\/(-3)*42\/(-4). Suppose -43 = 5*n - z. Suppose -1 = f, w + 2*w = -3*f + n. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 27 = -3*a, -5*a + 19 = j + 2. Suppose a*o = 2*o + 1102. Suppose -2331 = -4*d - o. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*i**3 + 107*i - 2*i**2 + 490*i**2 - 69*i**3.\nAnswer: -i**3 + 488*i**2 + 107*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**4\/12 + 11*b**3\/6 + 2*b**2 + b. Suppose o + 2*m - 18 = 0, -4*m + 0*m = 3*o - 46. What is the units digit of f(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.3 - -0.3. Which is the smallest value? (a) o (b) 0 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 6*h**2 - 8*h - 5. Let y be u(-7). Let j be 6*(15\/6)\/(-5). Let p(i) = -i**2 + 5*i - 4. Let w be p(5). Sort w, j, y in decreasing order.\nAnswer: y, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*i + 4*s + 24, s - 21 = -2*i. Is 6\/i*3*1 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*p - 3698 + 3031 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**8\/28 - q**4\/8 + 7*q**2 + 1. Let j(x) be the second derivative of v(x). Find the second derivative of j(g) wrt g.\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**3\/2 - 2*l**2 - 13*l. Calculate q(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 10031*l + 6. Let g(f) = 10035*f + 7. Determine 5*g(b) - 6*z(b).\nAnswer: -10011*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138973?\nAnswer: 31, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + k - 12. Suppose k*r - 4*s + 12 = 0, -2*r + 9 = 2*s + 3. Suppose -4*d + 15 + 13 = r. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 181*d**2. Let i(j) = -j**2. Let q(x) = c(x) + 2*i(x). Let t(o) = -22776 - 22874 + 45650 - o. What is q(t(b))?\nAnswer: 179*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*4\/104 + 640\/(-104). Let i(k) = -7*k**2 - 2*k. Let z(m) = -6*m**2 + 3*m**2 + 2*m**2. Give t*z(s) + i(s).\nAnswer: -s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 - 6*j**2 + 4*j**2. Let c(f) = 23*f**2. What is c(d(y))?\nAnswer: 23*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3 + (-2*sqrt(304) + 2 - sqrt(304)) - ((sqrt(304) + (sqrt(304) - 1*(sqrt(304) + 1)) - sqrt(304)) + sqrt(304) + sqrt(304))*5) + -2)**2.\nAnswer: -24960*sqrt(19) + 1286704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5500031 or -5500030?\nAnswer: -5500030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 200 or -22.5?\nAnswer: -22.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -6.3. Let k = -18\/31613 + -10317291\/35406560. Let n = k - -1\/160. Put 2\/3, q, n in decreasing order.\nAnswer: 2\/3, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2164 - 62441?\nAnswer: -645a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -95, -195, -353, -563, -819, -1115, -1445, -1803?\n\"Answer: t**3 - 35*t**2 - 2*t - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -1, -3\/7, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -3. Let r = 0.09 - 0.19. What is the second biggest value in m, r, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*h - 101*h + 63*h - 113*h - 218*h as r*h + u and give r.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -126444744 divided by -2\nAnswer: 63222372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50017603398.84 - 1.\nAnswer: -50017603399.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.2 + -2. Let n = -0.55 - -0.05. Which is the closest to k? (a) n (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/15 - 10118*n**2\/3 - 319943806*n\/15 - 319893218\/15.\nAnswer: -2*(n + 1)*(n + 12647)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206 (base 13) to base 8.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*i + 5372 = 1802 for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 7*s + 8. Let z be c(6). Let w = -21 + z. What is the remainder when (13 + w)*(-17)\/(-2) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77530370 is divided by 473?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((21\/7)\/(-1))\/(9\/36)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -15 - -6 - (69 - 28 - -1)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 3. Let x be o(-4). Which is bigger: 3\/37 or x?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2888025200 a multiple of 11196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 15\/29027?\nAnswer: 15\/29027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-6\/7)\/t*t**(5\/8)*((t*t**(1\/5)\/t)\/t)**(-33) assuming t is positive.\nAnswer: t**(7047\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 - 13*c**2 - 8*c + 10. Suppose h = -19*t + 14*t + 33, t - 5*h = 17. Give q(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2809384?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + 4 + 3 - (-4 - -2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -9874?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xsowvfo. What is prob of picking 2 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-6)*f*f*f)\/f**(1\/9))\/((f**(-2)\/f)\/(f\/f**0)) assuming f is positive.\nAnswer: f**(17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52636694 is divided by 52636686.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.3 (c) 68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/5)\/((-7)\/(-70)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m**3 + 814*m**2 - 284*m - 1634. What is f(-136)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 813325 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1100*x + 2560 = -24940 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) -0.5 (c) 471901 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 23*z**3 - 7*z**2 - 1. Let i be r(4). What are the prime factors of i\/12 + 5\/(-20)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31490732*g**4 - 1424*g**2 - 1138.\nAnswer: -755777568*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/4036165 and 52\/5650631.\nAnswer: 28253155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/295 in 50\/7, 3, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 25 = 4*n, 4*n + 0*t = 2*t + 10. Suppose 3*f + 36 = -h - 2*h, n = 3*h + 2*f + 38. Let u = 21 + h. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(8 + 14\/(-2)). Let h(g) = g + 6. Let o be h(-1). Solve l - 5*a = o, -l - a = r*l - 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d - 25*d + 13*d + 6*d + 4*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(130\/(-15) + 7)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5201611 to the nearest integer?\nAnswer: 2281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1108669*m**2 + 1882*m + 155 wrt m.\nAnswer: 2217338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*f + 5330 = -6135 - 9980 - 2239 for f.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17537 - 17538. Let b be 2\/(-7) - (-2801)\/28. Let x = b + -101. Is x greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/2498274 and 1\/4.\nAnswer: 4996548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 + 13 + -1 + 18 + -24).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 135*c**4 - 968 wrt c?\nAnswer: 540*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 647 + 646 + 2*i + 0*i - 1293.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412*y = -410*y - 15034. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**3 - 7635*d**2 - 68988*d + 76620 = 0.\nAnswer: -10, 1, 2554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o + 72 = -4*h, -5*h + 41 = 4*o + 131 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 1:30 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -73*z**6\/30 + 25*z**4\/2 + 122*z - 27. Let n(t) be the first derivative of r(t). Find the third derivative of n(i) wrt i.\nAnswer: -1752*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 19 = 5*l, 2*l + 3*l = -2*r - 4. Suppose 0 = 3*b - 3, 0 = s - 5*b + r - 0. Solve -m = -5*q - 12, -q - 5*m = s*q - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxzzxzzznn. What is prob of sequence znx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*12*(-50)\/(-100).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 20 - 10 = 0. Let m = 12 + 6. Suppose 4*n + 15 = -5*l, -4*l = -w*n + 4*n + m. What is the closest to -2 in -0.4, l, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmddmomwomm. What is prob of sequence doo?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1463 - -1946. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51654965779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.36 + -0.64. Let r = 0.8 + u. What is the third smallest value in 0, r, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 1:46 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1137, -981, 1759, 8379, 20175, 38443?\nAnswer: 64479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4462 - -4455.3825. Let s = v + 6.6. What is s rounded to three dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 2*n**2 + 1. Let z be 2\/(-5) - (-8)\/(-5). Let d be o(z). Let y = 2 + 3. Solve y*a + 16 - d = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4863 = -i, -12*i + 7*i + 2427 = 2*a. Suppose 11*z - 13*z + a = 0. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(5\/9)\/n**(2\/7) assuming n is positive.\nAnswer: n**(17\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566792.\nAnswer: 2, 70849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39a68 (base 11) to base 10.\nAnswer: -57186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**2 + 0*l**3 + 0 + 61\/20*l**5 - 13*l + 11\/3*l**4. Find the third derivative of r(g) wrt g.\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 310\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j + 2 + j**2 - 2 - 2*j as q*j**2 + g*j + t and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-32)\/(k*k**16\/k))\/(k**(-5)*k*k\/((k*k\/(k\/(k\/k**(-6)*k))*k)\/k)) assuming k is positive.\nAnswer: k**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 1 = -7*s + 6*s, 3*i = -s - 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(11) - -4*(sqrt(11) - (sqrt(11) + sqrt(11)*2 + sqrt(11))))**2 - (-1*sqrt(88)*-4 - sqrt(88) - sqrt(88))\/sqrt(8)) + 5.\nAnswer: -2*sqrt(11) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 1466?\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110422.3cm to micrometers.\nAnswer: 1104223000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 + 901\nAnswer: 901.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94 - -656\/7. What is the third biggest value in b, 10, 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-40 - 0)\/(5\/(-10)). Suppose -a = -0*c - 5*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 54*z - 166. Give x(5).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -27 times -0.15\nAnswer: 4.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + 112*u**2 - 25 + 47 as n*u + t + z*u**2 and give z.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1318142.1 and 4.\nAnswer: 1318146.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90732950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(700))*-2*-3 + (-4 + (sqrt(700) - (1 + sqrt(700))) - sqrt(700) - (sqrt(700) + (-3 + sqrt(700) + 0 - sqrt(700)))))**2.\nAnswer: 320*sqrt(7) + 11216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/12*9\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1042)\/521*(-51)\/6.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1715 = 40*s + 1635. Suppose r - 3 = -0. Solve -k + 7 = 5*g - r*g, 4*k = 5*g + s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/5 of a milligram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 4*b + 5. Let i(n) be the second derivative of n**3\/2 - 2*n**2 - 5*n. What is -4*i(d) - 3*u(d)?\nAnswer: -3*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 9145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-841)\/(-6) - 41\/246?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - 22) + 7 - (-33 + -76) - (4 + 1).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 2*t - 40, 2*j + 30 = 5*j + 3*t. Let p be 5 + -2 + (-5)\/(j\/(-4)). Solve 4*f - p = 4*c - 1, 2*c = 3*f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-3))\/(30\/(-45))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*i + 278 = 0, -6*f + 4*f - 5*i = -98. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/672*(-864)\/1620.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -5 - 8) + (-93 - -98).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3842, -3858, -3916, -4034, -4230, -4522?\nAnswer: -4928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 256\nAnswer: -1\/256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -496, 6\/37, 1\/3?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -328*s**3 + 2*s**2 - 3*s - 4. Let d be q(-1). Suppose -6*w + w - p + 1600 = 0, -2*p + d = w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 4, -0.08, -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 52 = 4*m, -3*c - 5*m = -8*c + 35. Let s = 18 - c. Suppose 0 = 2*t - 3*t + s. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 40638 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three fifths of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5343\/1727 or -10?\nAnswer: 5343\/1727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -2\/3023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 8*m - 5*m)*(-14 - 5 + 1)*(3 - 4 - 1).\nAnswer: -36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 r when three letters picked without replacement from {r: 1, u: 13, s: 3}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6392225 by -6.\nAnswer: -6392225\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -239*x - 60094. Calculate g(-253).\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -7*j**6\/120 - 4*j**5\/15 - j**4\/6 + 3*j**2\/2 + j. Let g(o) be the first derivative of s(o). Factor g(b).\nAnswer: -b*(b + 2)*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5\/3 + 416*n**4\/3 - 8282*n**3\/3 - 485900*n**2 - 4437600*n = 0.\nAnswer: -40, -10, 0, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -310 + 309.809. Let u = f + 15.891. Round u to 0 decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 + 2591*o + 5199. Determine m(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -25, 3?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6327867 rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*k - 28, 0*k = -d + 5*k + 31. Calculate the highest common factor of d and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6380\/(-605))\/(-58))\/((-104)\/(-22)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 19 - 18 + (-1 + 4 - 2)*(-1 - 1 + 0) + 0 + 5 - 4)*(-c**2 - 7*c**2 + 3*c**2).\nAnswer: 105*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4482 divided by 111308?\nAnswer: -2241\/55654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 12. Let g be k(-4). Suppose -v + 24 = v. Suppose v = p + 5*o, -3*p + 0*o + 2 = -2*o. Calculate the highest common divisor of g and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 9*o**3 + 5*o - 8. Let w(m) = -m**2 - m. Let y(k) = -5*w(k) - x(k). Let n(i) = -6*i**3 + 3*i**2 + 5. What is 8*n(z) - 5*y(z)?\nAnswer: -3*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 7*q**2 + q + 5. Let j be g(-7). Let k be j*(165\/6)\/(-5). Let l = k + 4. What is the highest common factor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1588*(-26)\/(-1976) + 21\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*s + 17*s + 4*s - 11*s as u*s + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1020 + -4?\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**8\/280 - k**6\/60 - 3*k**3\/2 + 3*k**2. Let m(g) be the first derivative of v(g). Find the third derivative of m(q) wrt q.\nAnswer: 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {n: 3, z: 1, s: 3, i: 1, r: 1, c: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/17 - 9168*o\/17 + 128744\/17.\nAnswer: -2*(o - 14)*(o + 4598)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 16 = 2*c + 5*z, -3*c - 5*z = -26. Suppose -2*b + c*x + 1 = -17, -10 = -2*x. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -12401\nAnswer: -2480.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93642 and 2622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -515*z + 262*z - 97790*z**2 + 253*z + 97775*z**2.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 499645213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 5*r**2 + 11*r - 5. Calculate a(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3)*(-p**3 + p**3 - 2*p**4) - p**2 + 3*p**4 + 0*p**2 + 0 - 1.\nAnswer: -3*p**4 - p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -39001482983 and 0.051.\nAnswer: -39001482982.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**3\/2 + 279*m**2 + 51894*m + 3217428 = 0. Calculate m.\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59 - -55)\/(14 - 0)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmcmmmmmccmmmcccm. Give prob of picking 2 m and 1 c.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z**2 - 3*z - 5. Let j = 0 - 3. Let n(r) = 4*r + 3 - 4*r - 4*r**2 - 2*r + 4*r. Calculate j*p(f) - 5*n(f).\nAnswer: -f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/4))**(13\/5)\/(c**(2\/5)*c*c\/(c*c\/(c\/c**0*c))*c))**48 assuming c is positive.\nAnswer: c**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-250)\/(-15)*72\/10. Find the common denominator of -79\/21 and 32\/72 - g\/351.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 583.4, 0.7, -1\/14, 1\/4 in ascending order.\nAnswer: -1\/14, 1\/4, 0.7, 583.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 300758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 25 = 4*p, -1 = 2*z + 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/21*l**2 + 0 + 4\/21*l.\nAnswer: -2*l*(l - 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2*(-5 + sqrt(396)*-2) - -3*(0 + sqrt(396))*-6))*4.\nAnswer: -336*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 11:07 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107016565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 13 = -4*s - 5, -2*s = -4*m + 8. Suppose 0 = -4*o - s + 24. Suppose o*n = -0*n + 85. List the prime factors of n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15\/56 - -1\/7. Suppose -1630*y + 1617*y = -26. Which is the nearest to y? (a) g (b) 1\/10 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1786 - 20964 = 519*h + 356*h for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*y**3 - 2*y + 1 - 1306*y**4 - 4*y**3 + 1308*y**4 - 10 to f*y**2 + z*y**3 + n + u*y**4 + w*y and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251 + 2 - 4*r - 2*r.\nAnswer: -6*r - 249","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 0*a**3 + 0 - 6*a - 5\/12*a**4 + 0*a**2. Let c(r) = -5*r. What is c(u(m))?\nAnswer: 25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 22*o**2 - 12*o + 8. Let s be f(10). Suppose q + 1276 = 4*i + 9638, -q - s = i. Round i to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**6\/120 + n**5\/60 - n**4\/12 - n**3\/6 - 11*n**2\/2 + 13. Let g(q) be the second derivative of c(q). Give g(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -11*c**2 - 1509*c - 338. Calculate the remainder when f(-136) is divided by 715.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 20317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*328\/40*(-50)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f + 3 - 2 + 9. Let y be w(3). Let n(p) = 4*p**3 + p - 2. Let c be n(y). What is the greatest common divisor of c and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtvtvtlcvtlclvwcvvc. What is prob of picking 2 c?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -211.31 - -12.69. Round s to zero dps.\nAnswer: -199","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411969582?\nAnswer: 2, 3, 1447, 15817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -678*a**2 + 18*a**2 - 578*a**2 - 1298*a**2 - 788*a**2.\nAnswer: -3324*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = x + 3*a - 4, 0 = x - 3*a - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-24)\/99316)*3\/7. Which is bigger: o or 1775?\nAnswer: 1775","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10376934 and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2*f - 32 + 4, 0 = -4*f - 12. Suppose -x*i + 24*i = 24. What are the prime factors of (-1)\/(-3) + 416\/i?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93889 * -198\nAnswer: -18590022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 820 - 815.85. Round l to 1 decimal place.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 376793876 to the nearest integer?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + 16\/(-4))\/(2\/(-1)). Solve w = -v - m + 1, 2*v + m = -2*v - 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2522 and 5.\nAnswer: 12610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3469*j*q**2 + 2*j*q - j + 1709*q + 1 wrt q.\nAnswer: -6938*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 5:09 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*o - 3*i - 2, 5*o + 5*i + 15 = 0. Let l(d) = -o*d**2 - 4 + 3*d**3 - 4*d + d**2 - 4*d**3. Let r be l(-3). Solve -r + 1 = -5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 divided by -1?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9366 + -9362. Let o(l) = l**2 + l + 1. Let d(x) = -20*x**2 - 3*x - 4. Give y*o(f) + d(f).\nAnswer: -16*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 4*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 60*o - 105 - 618 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -13, -5, 5, 17, 31?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbb. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/6)*v**(-5)*v*v**(-6)*v**2)**(1\/39) assuming v is positive.\nAnswer: v**(-43\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/3)\/((-24)\/36)*-1. Solve 0 = -c + t*f - 6, c - 5*f - 2 + 14 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-2)\/((-1624)\/(-8932))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170253708.\nAnswer: 2, 3, 17, 151, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31532*q = -11240*q + 60876 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -72 or -506\/7?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 85 = 34. Let u = z - -33. Let b = u - 13. Solve -b = -v + 4*a, 0 = -5*v + 5*a - 0*a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4806417683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 57*a**2 + a - 1. List the prime factors of z(1).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 963 is divided by 201.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 185*s + 12402. Calculate k(-67).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 12951*l**2 + 1397385*l - 38178525.\nAnswer: 3*(l - 4207)*(l - 55)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**5\/60 + 5*t**4\/8 - 2*t**3\/3 - 113*t**2. Determine w(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.8074367 rounded to one decimal place?\nAnswer: -30.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 4*c**2 + 7*c + 6. Suppose 4*h + 19 = -17. Let t be (-2)\/(-3) + (-12)\/h. Suppose 6*v - t*v + 20 = 0. What is n(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -109 - -98. Suppose -3*g - 57 = 3*j, -3*g = 4*j + 45 + 17. Let h = i - g. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 219 = -3*u + 109, -4*o + 5*u = 320. Put -0.4, o, 0 in decreasing order.\nAnswer: 0, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 19*x + 96. Let o be i(23). Suppose o*y = 7 - 15. Let c(t) = t**2 + 2*t + 1. What is c(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -19*z + 11*z. Let a be 0\/2 + -2 + 5. Sort a, -3, z, -4.\nAnswer: -4, -3, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 10*d + 7. Let j be m(-4). Let r(g) = 4*g + 9. Let p be r(6). Let b = p - j. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -240*t**3*w**3 - 353*t**3*w + 2*t*w**3 - 3*t*w**2 wrt w?\nAnswer: -1440*t**3 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1277\/4 + -319. Which is the nearest to 0.055? (a) -0.4 (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5425\/17 + 319. Let n be 2*((-5)\/6)\/5. Let g(u) = u - 7. Let k be g(8). Which is the closest to k? (a) i (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/25)\/(17\/(-170))*5805\/((-473)\/(-11))?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -348*r**5\/5 - r**4\/2 - 4039*r**3\/3 - 388. What is the third derivative of p(z) wrt z?\nAnswer: -8352*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by -11 + 47 + (3 - 9\/3).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + j + (2*j + 4 - 4)*(-1 - 3 + 3) - 34*j - 51*j + 29*j)*(-5 - 2 + 5) + (5 - 1 - 3)*(0*j + j + j) as q + n*j and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6440*g + 6862*g + 2788*g = 3507*g + 314575 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 813283?\nAnswer: 813283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -5*z + 0 + 1\/6*z**3 + 0*z**2. Let f(a) = 3*a**2. Give m(f(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 102\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -72 + (30 + -36 - -54)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 0.2. Let l(n) = -5*n + 2. Let a be l(-2). Let q be 8\/6*a\/8. What is the closest to q in -5, j, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 21*a**2 + 2. Let l be b(-21). Suppose -4*z = l*c - 1314, -2*c + 1931 = c - 4*z. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2\/83, 3 in decreasing order.\nAnswer: 3, -2\/83, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0*4\/28*(-28)\/12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (118*n - 17*n + 11*n)*(6 - 3 - 2)*(-8 + 8 + 10) as f + y*n and give y.\nAnswer: 1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27)\/(-2 - (-1)\/2). Suppose 13*u - i*u = -520. What is the remainder when u is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 2*y - 2. Let s(a) = a - 1. Suppose 3*t = 15, 0 = -2*x - 2*t + 54 - 42. Calculate x*z(c) - 2*s(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 985 is divided by (5\/20)\/(1\/1964)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**2*q**3 - 365356*f**2*q**2 + 68*f**2*q + 3*f**2 + 3*f - 367 wrt q.\nAnswer: 6*f**2*q - 730712*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203360.\nAnswer: 2, 5, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21141 and 56376.\nAnswer: 169128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -122332223322?\nAnswer: -122332223313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + (2*sqrt(1100) - sqrt(1100))*1 - (((-4*((sqrt(1100) - (-1*sqrt(1100) - sqrt(1100))) + sqrt(1100)))**2 - -6*(1 + sqrt(1100))) + 1).\nAnswer: -281602 - 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 2*s + 3. Let o be x(-3). Suppose -m + 0 + 3 = 0. What is the second derivative of o*r - r**m + 0*r**3 - 2*r wrt r?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - c = 1565, v - 181 = -5*c + 596. Differentiate 38 + 865*y + 10 - v*y wrt y.\nAnswer: 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -g + 3. Let p(i) = 8*i + 7. Let s(y) = 4*y - 478053 - y + 478055. Calculate g*s(r) - 2*p(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18553 + -15905. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 292*j - 806 = -121*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 467620651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.09 + 0.09. Let o = 2171 + -2156. Which is the second biggest value? (a) 3 (b) f (c) o (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 10*l**2 + 3*l + 2. What is the remainder when n(4) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 131, 82, -3, -142, -353?\n\"Answer: -3*u**3 - 28*u + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1093738416 divided by 6?\nAnswer: -182289736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = 2*z. Let v be (-9)\/12 + z + 3\/(-12). Is v\/4*-797*12\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = k - 1. Let a be (-1)\/((-45)\/21 - -2). Let l be 6*(-1)\/a*-28. What is the greatest common factor of l and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2090, -1491, 342, 4027, 10182?\n\"Answer: 103*q**3 - q**2 - 119*q - 2073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 14*y**2 + 46*y - 136. Let a be m(11). Solve t = 3*f - a, -t + f - 5 + 0 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 c when three letters picked without replacement from hcchc?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -1\/21368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 0.02238?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -276.436 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*(sqrt(171) + sqrt(171)*-2))\/((sqrt(99)*-1*-3)\/sqrt(11)).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1143 - 2*s**3 - 24 - 5*s**2 + 6*s**2 + 4 + 316 as u*s**2 + v*s + w + m*s**3 and give w.\nAnswer: 1439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**4 + 7075*k**3 + 2499240*k**2 - 2506320*k = 0. What is k?\nAnswer: -708, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30831537, -30831539, -30831541, -30831543, -30831545?\n\"Answer: -2*w - 30831535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-40))\/((-6)\/15)*-5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q**5 - 2*q**2 + 0*q**2 - 7*q**2 wrt q?\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.257582 milligrams in kilograms?\nAnswer: 0.000007257582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 0*u**5 + 0 + 0*u**6 + 12*u - 3\/2*u**3 + 0*u**4 + 3\/14*u**7 + 0*u**2. What is the second derivative of w(n) wrt n?\nAnswer: 180*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 182381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 6. Let s be l(5). Let w(a) = -2*a - s + 2 + 6 - 3. Give w(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*d - 129 = 0, 25 + 17 = 2*x + 4*d. What is the common denominator of 2*x\/(-60)*(-99)\/(-55) and (29 - 3)\/(16\/14)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4*((sqrt(8)*-4 - sqrt(8))\/sqrt(4) - sqrt(12)\/(sqrt(18)\/sqrt(3))))**2.\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4033 + 4032. Put -141, z, -3 in descending order.\nAnswer: z, -3, -141","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2\/3*f + 2\/3*f**3 + 0 + 0*f**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (4 - 2) - 1 - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1946059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -193 - -200. What is the least common multiple of j and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5732, -3, 11, 1, 12.\nAnswer: -5732, -4, -3, 1, 11, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6501 and 985?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3) - 924\/(-63). What is the greatest common divisor of p and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 26. Suppose 4*u - 62 - o = 0. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53835, 56009, 58183, 60357, 62531, 64705?\nAnswer: 66879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**3\/3 + 220*h. Let x(i) = -30*i**2 - 1. Determine x(b(j)).\nAnswer: -120*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1295 = -3*d, 25 = 5*d - 0. Let f = j + 665. Solve -5*w - f = 4*c - 0*c, 5*c = 4*w + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbpnnbbqbnnnnn. Give prob of sequence nnnq.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 186, 370, 554, 738, 922, 1106?\n\"Answer: 184*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5346 and 92016.\nAnswer: 3036528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6539.524 decades?\nAnswer: 653.9524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1111 - 31019\/28. Calculate the common denominator of -26\/35 and g.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 14, -4, 0.043919 in decreasing order.\nAnswer: 14, 7, 0.043919, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 3*q**2 + q + 2. Let z be r(-3). Let s be (3 - 1) + 82 + z. Find the common denominator of s\/(-20) - (-2)\/(-10) and -45\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 0.7112?\nAnswer: -0.5112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 93210 = -256*i + 255*i, 0 = -3*r + 3*i + 139797. What is the thousands digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/9)\/((c*c*c**5*c)\/c))\/(c**4)**(-25))**(-36) assuming c is positive.\nAnswer: c**(-3340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 5:07 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 3, -2, -5\/6, 6, -1, -144, -1\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24c (base 14) in base 6?\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-8))\/(61\/15372*2562)*(-16)\/18.\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.7 * -1.54407.\nAnswer: -2.624919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 - -15. Let p be 3\/(-2)*7\/(a\/20). What is the second derivative of 27*s**p - 31*s**5 + s + 21*s wrt s?\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 55417?\nAnswer: 609587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2178 and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 304589 and 26486.\nAnswer: 609178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 3 - 4*t - 18*t - 69*t to i*t + f and give i.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 1:54 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 336 and 2544?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 + 133726830126*z - 133726830126*z.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 6 = -1. Let b(h) = 4*h - 13. Let a be b(-8). Let d be (-3)\/(-6) - a\/(-50). Is v != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 - 83*v**2 + 114*v + 237. Give h(40).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - c)*(5 - 2*c - 141*c**2 + 72*c**2 + 65*c**2).\nAnswer: 4*c**3 + 2*c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 179 + -178. Which is the nearest to l? (a) -4 (b) 0.1 (c) 0.083\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.2 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from {h: 1, g: 2, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/47? (a) 4 (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -19*s**3\/3 + 50*s**2 - 39*s - 14\/3 = 0. What is s?\nAnswer: -2\/19, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -26. Solve 0*a = -q*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1071855 or -31083828\/29?\nAnswer: -1071855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a. Let l(f) = 3*f. Give 3*l(i) + 8*x(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 + 117. What is the units digit of (-6)\/(-10) - f\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1606?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + z - z)*(-3 - 4 + 3).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 24 = 4*n + 3*n. What is the biggest value in 236, -1\/11, -5, n, 4?\nAnswer: 236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 - 0.4. Which is the nearest to l? (a) 3 (b) -0.4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106 and 1219?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + c + 1)*(66*c**2 - 95*c**2 - 367*c**2) to the form r*c**2 + v + k*c + m*c**3 and give m.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 12 = 12*i. Put 0, i, 3, 31 in descending order.\nAnswer: 31, 3, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30 + -22)*(-3)\/(-6). Put o, 1, 11 in decreasing order.\nAnswer: 11, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7055 - 6779. Calculate the highest common factor of k and 5152.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 6*s + 3. Let v be a(10). Let b = 39 + v. Suppose -16 = -b*q + 20. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-252)\/(-7) - (-1 - 0). Let i = r - 15. Let u = 32 - i. Solve -4*m = -f - 2*m - 12, 0 = 2*m - u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j - 1. Let x be d(1). Let s be (2\/(-4) - x)*-2. Let l = s - -4. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32812+60638\nAnswer: 93450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 5. Suppose -3*g = -t*f + 6, 5*g = 5*f - 0*f. Let h(b) = -b**3 + 3*b**2 + b + 1. Determine h(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4874 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -33. Let w(g) = -7*g**2 + 6*g**z + 0*g**2. Let h(t) = 23*t**2. Calculate h(w(s)).\nAnswer: 23*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*g - 21*g - 21*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1766, -2045, -2510, -3161, -3998, -5021, -6230?\nAnswer: -7625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 7*p - 5*p = 30, 40733*t - 69 = 40734*t - 5*p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**5\/13 - 100*j**4\/13 + 24*j**3 - 316*j**2\/13 + 106*j\/13 = 0?\nAnswer: -53, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p**3 - 7*p**2 + 16*p - 4. Suppose 3*t = 27 - 6. Let h be 1 - 0 - ((-24)\/6 + 7). Let c(i) = 2*i**3 - 2*i**2 + 5*i - 1. Determine h*l(v) + t*c(v).\nAnswer: 2*v**3 + 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1026*v - 29*v**3 + 1026*v + 2*v**3 - 10*v**3 - 11*v**3 + (-1 + 1 - 2*v**2)*(-3*v + v + v).\nAnswer: -46*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1129? (a) 1\/11 (b) 1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 13*v**2 - 6776*v + 1061. Calculate g(89).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -8. Let v(g) = 4*g**2 - 2*g + 5*g + 84*g**3 + 14 - 38*g**3 - 44*g**3. Is v(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 13069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 4*u + 2, -130*a = 3*u - 129*a + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 108237846.6057 + -108056145.2. Let t = 181710 - s. Let z = t - 8.6. What is z rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - f - 9 = 0, 26968*f - 7 = -3*j + 26970*f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533.\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*z = -18, -2*h + 2*z - 4 = -4*h. Let f = -46 + 51. Which is the fourth biggest value? (a) f (b) -0.1 (c) h (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 2*l + 324, -l + 5 - 3 = 0. Let w = -152 - b. What is the least common multiple of ((-22)\/5)\/(2\/(-10)) and w?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(((-215)\/(-4))\/(105\/126)). Which is the fourth biggest value? (a) -0.2 (b) 0.1 (c) 0.4 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 774 + -753. Solve d + 3 = 4*x + m, 2*x + d = -6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.1 (c) -4 (d) 1908 (e) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164152 is divided by 80777?\nAnswer: 2598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q - 12. Let y be b(5). Suppose 10 = 5*l - 2*a, -4*l + 11 - 26 = y*a. Suppose -8*f + 11*f - 3 = l. What is the nearest to -1 in f, 2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**5\/60 - q**4\/12 - q**3\/2 + 5*q**2 + 9. Let u(f) be the second derivative of o(f). Give u(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 327, 1193, 2937, 5865, 10283, 16497, 24813?\nAnswer: 35537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5268941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002801 rounded to 7 dps?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33265?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7240759 to 2 dps.\nAnswer: -1.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36627, 71986, 107345, 142704?\nAnswer: 178063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from zxpuaauupuuppa.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 9*o - 11. Let d be (-1 - 8)*((-4)\/2)\/o. Find the second derivative of -d*l + 19*l**5 - 35*l**5 - 3*l**5 wrt l.\nAnswer: -380*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 669, 1141, 1613, 2085?\nAnswer: 2557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -1) + 14 - (-25 - -15 - 82).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629423 is divided by 314701?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.94 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/12*(7 + -1). Let y(v) = 7*v**2 + u*v**2 - 9*v**2. Let h(z) = -3*z. Calculate h(y(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*y = 832 + 954 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 27\/54 + 10\/4 - 8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 257 in 4\/31, 0, -0.2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 566 - 565. Let q(k) = k**3 + k**2 - 1. Let l(p) = 7*p**3 - 4*p**2 - 6. What is x*l(h) - 6*q(h)?\nAnswer: h**3 - 10*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 204.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*a + 457*a = 5*n - 160, 0 = -4*a for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5318087 is divided by 2263.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/24 and -17\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 163890?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -376*t - 378*t + 1491*t - 366*t - 374*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 22*h**2 - 7*h + 4. Let m(f) = 43*f**2 - 13*f + 9. Let l(k) = 9*b(k) - 4*m(k). Let j(o) = -5*o**2 + 2*o. Give -11*j(u) - 2*l(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -40. Suppose -3*u + 236 - 20 = 0. What is the greatest common factor of u and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 13*x + 0*x**6 + 0*x**2 - 1\/3*x**3 - 1\/14*x**7 + 0*x**4 + 0*x**5 + 0. Find the second derivative of i(r) wrt r.\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -2\/93, 142.4, 18.\nAnswer: -2\/93, 1\/10, 18, 142.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*(sqrt(153))**2)*4.\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -43047?\nAnswer: -43047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/((-9)\/3)*(-9 - -10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - -1 - (4 + -1). Suppose -11 = -5*h + r, d*r + 16 = 4*r. Which is greater: h or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/3 - (-6)\/(-10). Let k = 537 + -1612\/3. Which is the smallest value? (a) k (b) 0.1 (c) n (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, k: 1, m: 1, c: 5, h: 1, x: 1}. What is prob of picking 1 c, 2 u, and 1 x?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/48 and (1605632\/4170)\/32 - 12.\nAnswer: 33360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9343.\nAnswer: 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 16*y**5 + 92*y**4 + 204*y**3 + 220*y**2 + 116*y + 24 = 0?\nAnswer: -2, -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 10*u**2 + 5040*u - 589960. Calculate l(-602).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w**11\/w)))**(1\/6))**35 assuming w is positive.\nAnswer: w**(175\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 0.05, -2, 1061?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (5 + (-20 - 13))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 7*b - 2. Let d = -5 + 12. Let q = d + -13. Give u(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c (base 13) in base 16?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 smaller than 52559\/1344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 70*y = -42315. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 68 = -v. Let d = v + 36. Factor 3*u**5 - 15*u**4 - 351*u**2 + 12*u**3 + 351*u**d.\nAnswer: 3*u**3*(u - 4)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 32*m**2 - 2*m + 1. What is the remainder when v(1) is divided by 6\/15 - (-53)\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from mbbmmmgbmmbg.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 24. Let t = o + -10.8. Which is smaller: 2\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + e405c?\nAnswer: e405a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 131953070 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-225)\/(-200)*(-13)\/39.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 < 5849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 3*r**2 + 4*r. Suppose 0*j - q = 3*j + 7, 2*q = 10. Let b be w(j). Sort b, -5, 3 in ascending order.\nAnswer: -5, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/3*1\/2. Let h be p - 1 - (-4 + 7). Does 3 divide (21\/14)\/((-2)\/h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6668125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, l: 17}. Give prob of picking 3 l.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*l = -98, 0 = -y + 5*y + 5*l - 129. Let k(w) = -w - 8 + y - 5 + 2. Let m be k(10). Solve 2 = -3*o + m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**2. Let j(d) = 579672*d**2. Calculate j(f(o)).\nAnswer: 5217048*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 5*l**2 + 6*l - 4. Give k(-3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/138*(-4)\/(-3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -4e3?\nAnswer: -4e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1006 = -5*k, -5*k + 430 = 2*x - 78. Suppose 5*r = 15, -3*a + r = -0*r - x. Is a a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/5 + 867832*g\/5 - 11280126.\nAnswer: -2*(g - 433851)*(g - 65)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 127466*c - 765111. Calculate k(6).\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86318, 172737, 259146, 345539, 431910, 518253, 604562, 690831?\nAnswer: 777054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 + b**2 + 4*b**2 + (-1 - 3 - 3)*(4*b**2 - 4*b + 4*b) + 4*b**2 - 6*b**2 + b**2.\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186366 divided by 62122.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 10 = 10. Suppose 2*f - j*f + 2*h + 179 = 0, 3*h = -f + 67. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 0.3 (b) 18 (c) -0.5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134718*v + 10*v**3 + 134710*v - 269428*v.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4636.\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.0461139 * -0.05\nAnswer: -0.002305695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.192 to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h = -8*h - 210. Suppose h*b = -i + 14*b + 1072, -2*b = -4*i + 4232. What are the prime factors of i?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/18 + (-174)\/(-54)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 3*a + 3, -5*y - 5*a + 2429645 = 2429630 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/(-10) + (91\/(-35) - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64052 = 14*h + 64066. Let p = -0.18 + 0.31. What is the nearest to 1 in p, h, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 872028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/3))**(-1\/7))**(-3\/14))**(-15) assuming c is positive.\nAnswer: c**(15\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 2*r**2 + 2*r - 1. Let p be s(2). Suppose -p*o = -34 - 17. Let a = -8 + o. Solve -2*q = a - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-1))\/(16\/(-9504)*33). Factor -6*d - g - 1\/4*d**2.\nAnswer: -(d + 12)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 69\/(-6))*(-5 + -24 - -35)\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 2:09 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/2)\/(h*h**13))**(15\/2))**(-2\/69) assuming h is positive.\nAnswer: h**(145\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 - -53. Let l = -95\/3 + 31. Let h = -5 + 4.9. Which is the nearest to h? (a) l (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 16. Suppose n*m = j - 10, j = 3*m + m + 12. Calculate the least common multiple of j and (-20)\/6*(-4 - -1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 469800 to the nearest 1000.\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 7\/64*a**4 - 1\/8*a**3 + 11\/320*a**6 - 12*a**2 + 1\/8*a**5 + 0*a + 0. Solve g(s) = 0 for s.\nAnswer: -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26386 is divided by 2234.\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 46201.67ml?\nAnswer: 46.20167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1269\/4*j + 39\/4*j**2 - 297\/2.\nAnswer: 3*(j - 33)*(13*j + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1842949 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - (-3 - 12\/(-3)). Solve 0*w - 5*w + j = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220\/30*(219\/2)\/73\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -5*g - 4*r + 160, 5*g - 4*r - 160 = 0. Suppose -292 = -g*z + 28*z. What are the prime factors of z?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3757*n + 22522*n - 253879 = -1117069 for n.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1855 and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -1 - (-7 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.1017 and -0.389?\nAnswer: 0.7127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 114096652 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i**(-2)*i*i**(5\/3)*i*i*(i\/i**(-6\/7))**(-49) assuming i is positive.\nAnswer: i**(-259\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(0 - 2*z**2 + 2 + 1).\nAnswer: 4*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1047 - -16612?\nAnswer: 15543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 36. Let h(k) = 5*k**2 - 6*k. Let y(u) be the third derivative of 3*u**5\/20 - 11*u**4\/24 - 51*u**2. Determine l*h(i) - 3*y(i).\nAnswer: -2*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*y = -124 - 180. Suppose 4*g - 5*g = -6. Calculate the smallest common multiple of g and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 0. Let a be -1 - -2 - 0 - -1. Suppose -a*w = w. Put w, f, 4 in ascending order.\nAnswer: f, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140 + -23001?\nAnswer: -23141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 2 (c) 3.2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 942\/342 + (-2874)\/(-36404).\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 665*o**4\/4 - 1162*o**3\/3 + 2*o - 3811. What is the third derivative of h(v) wrt v?\nAnswer: 3990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.17 - -0.47. Let v = -0.4 + -0.6. Which is greater: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3296*g + 4*b + 28 = 3294*g - 0, 4*g - 2*b + 16 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1723 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 2*o + 6 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 85?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -363 - -379. What is the highest common divisor of 16 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 28944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 4*z + z)*(12 - 5 + 2).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2709*t + 2 + 1048*t to i*t + h and give i.\nAnswer: 3757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3964*b - 155579 - 240821 = 0 for b.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 13*y**5 - 11*y**2. Let o(w) = -w**5 + w**2. Let n(m) = 10*o(m) + 2*q(m). What is the third derivative of n(g) wrt g?\nAnswer: 960*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(8\/11)*r**(4\/15))\/(r**(-5)*r)**(3\/22) assuming r is positive.\nAnswer: r**(254\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1756, -3137, -4498, -5827, -7112, -8341, -9502?\n\"Answer: 2*s**3 - 2*s**2 - 1389*s - 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -96*b**4 - 99*b**4 + 193*b**4 - 36*b**5 - b**5 + 0*b**5 - 2*b**5 + (0*b**4 + 5*b**4 - 2*b**4)*(-4 + 4 - 2*b).\nAnswer: -45*b**5 - 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1.617907 meters?\nAnswer: 0.001617907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2700\/7 + 66\/7*k**3 + 1980\/7*k + 3\/7*k**4 + 543\/7*k**2 = 0. What is k?\nAnswer: -6, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.12 (b) -0.34 (c) -1\/8 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 793266959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 96 or 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.81 to 0 dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, q: 6, a: 1, x: 4, z: 3}. What is prob of sequence qa?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p**3 - 3745428*p**2 + 1070124*p = 0.\nAnswer: -178354, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - p**2 + p - 1. Let x(a) = 26*a**3 - 27*a**2 + 6*a - 6. Let k(n) = 6*b(n) - x(n). Find the third derivative of k(v) wrt v.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 120466*w**2 + 36*w. Let d(j) = j. Determine d(l(z)).\nAnswer: 120466*z**2 + 36*z","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 816118231 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-2 - -1) + -1 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66*(-209)\/(2689830\/360).\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 431 - 116. List the prime factors of a.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -3818848.\nAnswer: 3818850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -4.2. Let d = -6 - -10. Which is the closest to 0? (a) q (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 7, 3\/7, 4, 5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1176*y - 114489 + 914 = -2901*y + 832*y for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*n**3 + 5*n - 50*n**3 - 5*n**2 + 3*n**2 in the form z*n + b + h*n**2 + k*n**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-560)\/32*(-12)\/42. Let a(h) be the second derivative of 2\/5*h**o + 10*h - 3\/2*h**3 + 0 + 0*h**2 + 0*h**4. Find the second derivative of a(f) wrt f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 2*r + 88. Suppose -r*d = -19*d - 6. Suppose v = -d*v + 90. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/53890 and -1\/6.\nAnswer: 161670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -356340\/5863 or -62?\nAnswer: -356340\/5863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-231019 + 231019 - 16*x)*(-2*x + 3*x + 4*x**2 - x**2) to f + k*x + c*x**3 + d*x**2 and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -18444.8\nAnswer: -92224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 705 - 21a8?\nAnswer: -16a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4 = -4*c. Suppose 0 = c*w - w - 3. Suppose -w*b + 106 = -j, -6*j + 137 = 4*b - 3*j. Calculate the remainder when b is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 - ((-10 - 33) + 32)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002403168 to 7 decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1, -112426, 3.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 2227*s - 45644. Calculate y(-21).\nAnswer: 682","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8566 - 8430. Solve -d = 58*t + 38 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((151320\/(-90))\/(-26))\/(120\/18 - 6)\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*r + 15 = 3, -5*y - 5*r + 35 = 0. Suppose -y*m + 16 = -m. Solve -2*h - 5*w = 19, -m*h - 2*h - 5*w - 23 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -259*u**2. Let p(s) = 18709*s. What is r(p(a))?\nAnswer: -90656910379*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-24)\/21)\/(7\/(-49)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 + (-510)\/(-15))*(-6 - -3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49*m**4 - 4*m**3 + 180*m**2 wrt m?\nAnswer: -1176*m - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*c, -2*d - 3*d + 4*c + 4 = 0. Suppose 4*l + 12 = 0, d*g + 6 = g - 4*l. Solve -2*u - 5*q - 23 = 0, -g*q + 12 = 2*u - 4*q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 2*f**2 - 6*f - 4. Let l be x(-3). Suppose l*s + 17 = 22. Calculate the greatest common divisor of s and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.016 (b) -0.0937 (c) -4\/3 (d) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1240 and 5240.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of ((-6)\/(-2))\/(3\/234)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.3, 0.2, 1\/2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (-33592)\/1352 + (1\/3 - 46\/(-546)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p**2 - 4*p - 5. Let f = 1889 - 1892. Calculate x(f).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0630191 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1314013?\nAnswer: 23, 57131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y + 8. Let l(m) = 2*m**2 + 8*m - 4. Let j be l(-6). Suppose -i + j = i + g, 2*g - 10 = -i. Solve i + 2 = -y*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10472 + 376939\/36. Find the common denominator of r and -87\/22.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 89960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -50 (b) 4 (c) 460\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 15 = -5. Suppose 0*v + v - 12 = -4*m, t*m - 6 = 3*v. Let u(s) = s. Determine u(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**4 + 12016*c**3 + 3065100*c**2 + 12116336*c + 12068336 = 0 for c.\nAnswer: -2723, -277, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*f**2 + 142*f + 2180.\nAnswer: -2*(f - 10)*(18*f + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -143838 - -53298. What is b rounded to the nearest one thousand?\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2144, 2134, 2144, 2186, 2272, 2414?\nAnswer: 2624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(300\/25)*22\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 2. Let k(w) be the second derivative of w**4\/4 - 2*w**3\/3 - 3*w**2 - 37*w. Does 28 divide k(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**2 - 22*w + 15. Let t be p(-5). Suppose 20*b - t - 70 = 0. What is the remainder when 11 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4 - -1)\/(-12))\/((-4)\/(-80)). Suppose 4 = q*r - 6. Let a be (-30)\/(-8) + (0 - 1). Is a != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51839 is divided by 4298?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14479, 14455, 14405, 14323, 14203, 14039, 13825, 13555?\n\"Answer: -i**3 - 7*i**2 + 4*i + 14483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 + -41. Suppose 44 = 5*q - q. Solve j*b - 1 = -o - 2, -q = -b + 2*o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 0*s**5 - 1\/6*s**3 - 54*s**2 + 0*s**6 + 1\/8*s**4 + 0 + 0*s - 37\/84*s**8 + 0*s**7. Find the second derivative of c(x) wrt x.\nAnswer: -2960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (0\/(-4))\/(-3). Let v(r) = -10*r - 4. Let j(k) = -k. Let h(q) = -5*j(q) + v(q). Is h(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k + 2*k)*(0 + k**2 + 0) + 2*k**3 - 4*k**2 + 4*k**2 - 4*k**3 + k**3 + 2*k**3 + (-2471*k - 2540*k + 5523*k)*(2*k**2 - 3*k**2 + 3*k**2).\nAnswer: 1026*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from vkqvytx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -9*q**2 + 10*q. Let a(t) = 11*t**2 - 12*t. Let w(d) = 5*a(d) + 6*r(d). Let o(k) = 26*k**2. What is o(w(n))?\nAnswer: 26*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113.759 - -114. Let z = s - 0.031. Round z to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 12*u**5\/5 - 10*u**4 + 28*u**3\/3 + 8*u**2 - 16*u + 29. Factor o(h).\nAnswer: 4*(h - 2)*(h - 1)**2*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -142023, -284049, -426075?\n\"Answer: -142026*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33.31 - 33.1. Let s = 0.02 - u. What is the smallest value in -5\/4, 1\/4, s?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1232106290 by 246421258.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + u**2 + 2*u. Let h(i) = 90*i**3 - 8*i**2 - 6*i + 1. What is -h(z) - 4*j(z)?\nAnswer: -86*z**3 + 4*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + b - 1. Let z(l) = 9*l**2 - 2*l + 8. Let j(d) = -6*y(d) - z(d). Let h(r) be the first derivative of j(r). What is the tens digit of h(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32735?\nAnswer: 5, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s**4*y + 419*s**4 + 88*y - 4 wrt s.\nAnswer: -8*s**3*y + 1676*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/10 - ((-2120)\/40)\/3710?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004361 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -10 + 8\/21*g**3 - 1\/7*g**4 + 0*g**2 + 0*g. Factor r(w).\nAnswer: -4*w**2*(w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*k + 4. Let p be (4 - (-4)\/4)\/1. Suppose -4*y + 4*r + 26 = -y, -2*r + 26 = p*y. Solve -4*u - 4*l + 25 = k, -4*u + 3*l = -y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4442505689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25621 - 0.3.\nAnswer: 25620.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/3 + 48*n**3 + 1280*n**2\/3.\nAnswer: -2*n**2*(n - 80)*(n + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evvt when four letters picked without replacement from teeeetvetttvttevv?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 151 (b) 1 (c) -65\/4 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4*10 - -5)\/(18\/48)\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 25*y**2 - 15*y + 1. Is t(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -20. Suppose m = -2*p + d + 175, 3*p - 134 - 139 = -2*d. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + (5 - 20))*8\/4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -1. Let d be (5 + 1 + 0)*v. Let w(f) be the third derivative of f**5\/60 + f**4\/4 + 3*f**3\/2 - 125*f**2 + 1. Determine w(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 5266872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 - 4*s**2 - 6*s + 21. Determine n(3).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 2) + -59 + -34 - -22?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*d + 277*d = 380*d - 1144 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 82, 3, -34712?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1068029169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 8*p + 3. Let r be x(5). Let k = r - -15. Suppose 666 = o + 3*z, -k*o + 6*o = -3*z + 2004. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**4\/7 - 24*l**3\/7 - 3*l**2 + 108*l\/7 + 108\/7 = 0.\nAnswer: -6, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/(-9) + 0 - 22\/198\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 6 = -11*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1065)\/(-12))\/((-5)\/(-580)).\nAnswer: 5, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5706, -5697, -5674, -5631, -5562, -5461, -5322, -5139?\n\"Answer: l**3 + l**2 - l - 5707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -233?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1000101011011 (base 2) to base 6\nAnswer: -32323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 553 - 555.4. Let n = -2.6 - b. What is the third smallest value in n, -2, 0.003?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -20460\nAnswer: 4092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t + 0*t)*(-5*t**3 + 68*t**3 - 22*t**3) + 0*t**2 + 3*t**4 + 0*t**2.\nAnswer: -38*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.67 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4888?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 191751, 191749, 191747, 191745, 191743, 191741?\n\"Answer: -2*b + 191753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 + 2*t**2. Let f be (2 + 4\/6)*(-2856)\/(-32). Let h = f + -260. Let p(j) = 10*j**3 - 11*j**2. Calculate h*b(d) - 4*p(d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/232 - (-22)\/(638\/(-1451)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246238, 492554, 738878, 985210, 1231550?\nAnswer: 1477898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 976056?\nAnswer: 1952112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 8. Let g = q + 16. Solve -5*a + a - 2*j + g = 0, -j + 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 2*b = 6 - 3, -b = -4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 20\/(-16)*-2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 22*g + 27. Suppose 5*n + 5*m + 89 - 4 = 0, -5*n - 67 = -m. Let q = 30 + n. What is the lowest common multiple of j(23) and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 2:13 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141 + 141 + 2*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 1 - (4 + -8). Suppose -4*d + 4*k - 16 = 8*k, -5*k = n*d + 14. Let b be 0 - (-2 - 6\/d). Solve 2*w + 11 = -2*r + 3*r, 4*w + 20 = b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 + (-1)\/2. Let g(w) = -2*w**3 + 4*w**2 + 4*w. Let i(p) = -p - 119*p**2 + 0*p**3 + 0*p + p**3 + 118*p**2. Determine s*g(d) - 4*i(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/60841 and 149\/7699152.\nAnswer: 84690672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + -9 + 51 - (0 - -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t - 3 + 3*t - 8. Let c(i) = i - 2. Let f(s) = -11*c(s) + 2*r(s). What is f(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 762 and 90.\nAnswer: 11430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(10) + sqrt(40)) + sqrt(15)\/(sqrt(15)\/sqrt(5)) - (sqrt(605)*2 + -1))**2*-3.\nAnswer: -19229\/3 + 124*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*w**2 - 463*w**2 - 927*w**2 - 980*w**2 + 465*w**2.\nAnswer: -2236*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l + 52. Let x be n(-24). Suppose 4 = 2*g + 4*h, -x*g + 1 = -2*h - 7. Solve -10 + 4 = g*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/4 - (-1)\/(-4). Suppose 252 = p + 2*p. Suppose 3*l - 7*l + p = h. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1522*i**2*k**2 + 2*i**2*k + 2*i**2 + 122096*i*k**2 - 13*i*k - 7697*i - 36 wrt k.\nAnswer: 3044*i**2 + 244192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 14518084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3575 and 550.\nAnswer: 7150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 7501 - 5617 + 15720 + p + 3*p**2 - 2*p**2 + p**2 + (-4 + 1 + 1)*(2*p**2 + 4 - 4) + 0 - p**2 + 0 as x*p**2 + l*p + z and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1856195 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.48161868 rounded to three decimal places?\nAnswer: 5.482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + k**2 + 6*k + 4. Suppose -54 + 19 = 14*p + 35. Calculate f(p).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5)*o**(-4)*o**(-4)\/o*o**(-10))**11)**(-2\/9) assuming o is positive.\nAnswer: o**(176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -737 = -20*o - 47*o. Suppose 3 = v + 1. Let l = v + 1. Solve 2*d - l = -o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -17922 + 41*v**3 + 17922 - 11*v**2 - 6*v**2. Let d(g) = -10*g**3 + 4*g**2. What is 26*d(z) + 6*o(z)?\nAnswer: -14*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8120843 (base 9) to base 2.\nAnswer: 10000011111110000100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4 + 1. Suppose -j*q + 2*q = -3. Solve 0 = -r - q - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7274102 (base 8) in base 2?\nAnswer: 111010111100001000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 2. Let y be b(3). Let s(l) = -l**2 - 4*l - 9. Suppose w - 114 = -116. Let c(h) = -3 - 1 - 2*h + 0. Calculate w*s(m) + y*c(m).\nAnswer: 2*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k - 8482 = -26665. Is 33 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2873 and 39546?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 236 - 248 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 646.1083 grams in micrograms?\nAnswer: 646108300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**3 + 2*p**2 + 1. Let h be o(-3). Let s = -29 - h. Calculate the remainder when s is divided by -17*((-60)\/15 + 9\/3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = d + 1, 0*i + 4*d = 4*i - 28. Suppose -i*b = -4 + 7. Which is bigger: b or 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 9:25 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + y + 38 = 26, -28*r + 5 = y - 43 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2612957456*a**2 - 5225914939*a**2 + 2612957479*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-36)\/(-8)*(-8)\/72.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 14) to base 15\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*(3*((sqrt(133)*1 + sqrt(133) - sqrt(133)) + sqrt(133)) - sqrt(133)))\/(sqrt(14)\/(-5*sqrt(10)\/sqrt(5)))*6.\nAnswer: -5 + 150*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*m**5\/5 + 375198*m**4\/5 + 1302749541*m**3\/5 - 985813026*m**2 - 1536102900*m - 289815000 = 0.\nAnswer: -6950, -1, -2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.04 (b) -5.15 (c) -3\/2 (d) -2 (e) 8 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -10*o - 26. Determine u(-11).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000665 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6928555?\nAnswer: 5, 967, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*c - 22 = 4, 4*v - 12 = 4*c. Let w(h) = -2*h**3 + 2 + 4*h + 3*h**3 + v*h**2 + 0*h**2 - h**2. Let b(a) = a + 4. Let d be b(-6). Give w(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u - 2. Let h be q(3). Let p(z) = 3*z**3 + z - 2. Suppose 106 = -11*s + 117. Let v be p(s). Solve 2 = -3*n + 2*g, h*n + 0 + 12 = -v*g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -9 - -3 - 13\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 15\/8, 5, -0.3 in descending order.\nAnswer: 5, 15\/8, -0.3, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 67. What are the prime factors of s?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1622277, -3244526, -4866775, -6489024, -8111273, -9733522?\nAnswer: -11355771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 74 - 66. Suppose -58 = -t + 5*t - 2*u, 3*t = -4*u - 60. Let z = -9 - t. What is the greatest common factor of g and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (2*sqrt(128) + 1 - sqrt(128))*-3)*2)**2*4.\nAnswer: 4608*sqrt(2) + 19008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23154, 23193, 23232, 23271?\n\"Answer: 39*w + 23115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 36*n - 675. Let q be x(19). Suppose -3*z - 5*j + 139 = -q*j, z - 53 = 3*j. Suppose 2*o - 17 + 5 = 0. Calculate the remainder when z is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1129 - 2*a**2 - 380 - 372 - 377.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hbbhw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + l - 6. Let j(v) = -v - l + v**2 + 2*v - 2*v**2 + 5. Let z be (6\/9)\/((-1)\/3). Calculate j(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26*138\/1196*6\/(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.533429 to two decimal places.\nAnswer: -1.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 663, 676, 691, 708, 727?\n\"Answer: l**2 + 10*l + 652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7502*g - 3 + 3 + 14*g**2 - 7506*g.\nAnswer: 14*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.38 and 0.8.\nAnswer: 0.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*o**3 - 107*o**2 + 42*o + 36.\nAnswer: 102*o - 214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -120300 (base 4) in base 12?\nAnswer: -b00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4546297.08 rounded to the nearest ten thousand?\nAnswer: -4550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1*n)**(2\/21)\/(n**(-1\/3)\/n**(-4\/3)))\/(n*n**(-2\/5)*n*n**(-4)*((n*n**(-2\/13)*n)\/n)\/(n\/n**(-1))) assuming n is positive.\nAnswer: n**(3746\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296630 is divided by 37073.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - t**2 + 1)*(29 + 18 + 15) + (-t + t - t)*(2 + 2*t - 2) + 5*t**2 + 0*t**2 - 2*t**2 in the form l + d*t**2 + w*t and give d.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhab when four letters picked without replacement from abbahbbu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -781, -310, 163, 638, 1115?\nAnswer: 1594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*sqrt(5) - (-3 + sqrt(15)\/sqrt(3) + sqrt(5))**2) + -4.\nAnswer: -32 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 1. Let d be (16\/(-6))\/(h\/(-6)). What are the prime factors of (-2 - -84) + 0 + d?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 4*k**2 - 4*k + 4. Let z = -25 + 21. Is d(z) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -379\/255 + 23\/17. Let i = 3.4369 + -3.9369. Let d = 0.4 - 0.3. Which is the nearest to d? (a) -5\/4 (b) s (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11214, 2, 3 in decreasing order.\nAnswer: 3, 2, -11214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 25*x - 700 = 5*z + z, 3*x = 2*z + 91 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3375 is divided by 1052.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.94205286 rounded to 1 dp?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.04, 0.1, 1\/55, -1\/3?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8818 + -8819.4. Which is the smallest value? (a) 52\/11 (b) v (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 596*a**4*q**2 + 25*a**3*q**2 - 33*a*q + 2*q**2 + 13*q wrt a?\nAnswer: 7152*a**2*q**2 + 150*a*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3, -26, -73, -144, -245, -382, -561, -788?\n\"Answer: -w**3 - 3*w**2 - 13*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 + 71. Solve -t = j*t + 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a. Let y(x) = -x - 2. Let c(b) = 6*b + 222. Let o(g) = -c(g) - 4*y(g). Determine o(j(d)).\nAnswer: -2*d - 214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f**3 + 4*f**2 + 5*f + 6. Let z be s(6). Suppose 3*j + 3*m = z, 850 = -2*j + 4*j - 3*m. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1850430838 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - r + 1116 = -152. Is 2220\/7 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6054 divide 64876378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -0.40575\nAnswer: 3.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 2*q + 0*q)*(-3 + 1 + 0) - 2748 + 34*q + 2748.\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rklkrb. What is prob of picking 1 l, 2 r, and 1 k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 369149 (base 10) to base 9.\nAnswer: 622335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 190*m**2 - 603*m - 42739. Determine u(-188).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 403*f**4 - 3*f**3 + 108863*f**2?\nAnswer: 9672*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*c**2*n + 2*c**2*t**2 - 2*c**2*t + 7*c*n*t**2 + 4*n*t**2 + t wrt c?\nAnswer: -18*n + 4*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o. Let i(f) be the second derivative of -11*f**4\/4 + 13*f**2\/2 + 3054*f + 2. Determine i(d(v)).\nAnswer: -297*v**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1942385?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m**4 + 1 - 3 + 343*m + 8*m**2 - 345*m - 4*m**4 as p*m**4 + s*m + u*m**2 + q + r*m**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(320) - (sqrt(320) + 3*sqrt(320)*4 + sqrt(320) + sqrt(320)))\/((sqrt(100) - (sqrt(100) + (sqrt(100) - sqrt(100)*2)))*1).\nAnswer: -168*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - h**3)*(-2 - h + 2) + 169*h**2 + 2*h**4 - 169*h**2 - 4*h**4 + h**4 + h**4 + (2*h**3 - 2*h**3 + h**3)*(4*h - 2*h - h).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d**2 + d + 3. Let k(w) = w**2 + w - 1. Let m(o) = -b(o) + k(o). Let a(p) = 171 + p - 170 + p**2 - p. Let v(h) = -4*a(h) - m(h). Determine v(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -11*c - 7. Suppose 276 = -99*w - 52*w - 177. Let v(k) = 1. Determine w*v(n) - q(n).\nAnswer: 11*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1017*q**2 + 1212*q - 1212*q as o*q + u*q**2 + s and give u.\nAnswer: 1017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -93*m - 1. Suppose -2*l + w = 10, -3*l = 2*w - w + 20. Let r = -8 - l. Is k(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10062 - 10062.5. Sort 0.2, p, -1\/22, -24.\nAnswer: -24, p, -1\/22, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w + 9. Suppose 13 = -7*d - 22. Let j be 3\/d + (-66)\/15. Let c(t) = 6*t - 14. Give j*c(i) - 8*s(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -28 + 14 - -26.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 1. Let v(g) = 4. Let q(p) = 5*c(p) - v(p). Let r(b) = -b - 9. Let h(f) = 3*q(f) - r(f). Calculate h(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 3*g**2 + g**2)*(-188*g + 33 - 33).\nAnswer: -376*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 8\/3*j**4 - 2 - 37\/3*j**3 - 1\/10*j**5 + 20*j + 0*j**2. What is the second derivative of l(y) wrt y?\nAnswer: -12*y + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -203 + 539. Let h = -154 - -156. Suppose 139 = 3*v + q, h*v + 4*q + 0*q = 76. What is the highest common divisor of v and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 8 - 13 = 0. Let y be 1\/(x + (-128)\/(-127)). Suppose -3*a + 4*i + 175 = 0, -3*a + 2*i + 46 = -y. Is a a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwssssi. What is prob of picking 2 i, 1 w, and 1 s?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 665, 763, 939, 1205, 1573, 2055, 2663?\n\"Answer: 2*h**3 + 27*h**2 + 3*h + 633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1949704 and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20709 - 20709.5. What is the fourth smallest value in 2.1, m, 3, -24?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence umu when three letters picked without replacement from uujjgpjgppjm.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22.1, 0.02, -5\/32, 15\/7?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/6 + (-4)\/(-6). Suppose -2*b + 25 = -r*m, 5*b - 10 - 30 = 3*m. Suppose -l - l + 10 = 0. Solve b*j + l = -20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 c, and 1 u when three letters picked without replacement from uymyumuuuccmcmymm.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*m**3 - 184422*m**2 + 606195*m - 165267 = 0.\nAnswer: 3\/10, 3, 6121\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-196)\/(-12))\/((-3)\/54). Let c = z + 425. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(242) + sqrt(242) + 1 + -4 + sqrt(242)))**2.\nAnswer: -792*sqrt(2) + 8748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5779 (b) -8346 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/32 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + l + 0*l = -3, -5*o + 4*l + 11 = 0. Let x = -0.1 - 0.1. What is the third smallest value in o, x, -1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10525 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2 - 22*a - 24 = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 29*b - 6. Let z(h) = -14*h + 3. Let m(g) = 4*u(g) + 10*z(g). Does 16 divide m(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*q = -77394 + 75184 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + f**3 + f**3)*(2*f**2 - f**2 + 3*f**2 + (-5*f + 2 - 2)*(f + f - f)) + 3*f**3 - 2*f**5 - 3*f**3 - f**5 - 2*f**5 - 2*f**5.\nAnswer: -8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-20 - 5) + (-251 - -251).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -991.437 * -17\nAnswer: 16854.429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 7. Let j(r) = -r**3 - 2*r**2 + 3. Let x be j(-3). Suppose 0 = -7*l + x*l - 25. Calculate w(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 - 3*w - 3. Let q = -2 + 6. Is k(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 12:46 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -968*g + 75936 = -20864 for g.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 420*i + 3607. What is u(-9)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 12:35 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 14*w**2 + w - 17. Suppose 3*r - b - 74 = -2*r, -2*b + 34 = 3*r. What is i(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from yqfeqf?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1404)\/(-72) + (-1)\/(-2). Solve -14*s + w = -36 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -682943 + -15?\nAnswer: -682958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 4*w + 3*w + 4*p + 8 = 0, 80*w + 4*p + 313 = 23*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1733 is divided by 83.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**4\/12 - 5*c**3\/3 + 8*c**2 + 13*c. Is u(10) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(7\/4)\/r*r*r*r**11)\/(r**(-2\/25))**29 assuming r is positive.\nAnswer: r**(1607\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z**4 - 68*z**3 + 56*z**2 + 16*z = 0. Calculate z.\nAnswer: -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.3 + -2.2. Let p = -23999\/4 + 6150. Let y = p + -151. What is the second smallest value in y, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t - 8. Let b(r) = 12*r. Give u(b(p)).\nAnswer: 12*p - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 b when two letters picked without replacement from {k: 1, b: 2, i: 1, z: 1, y: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.080762 centuries in millennia?\nAnswer: 0.6080762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05390533 + 0.0539. Round g to 7 dps.\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8444 - 6204. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 688.1 - 688.0999913382. What is h rounded to 7 decimal places?\nAnswer: 0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 449\/(-19756)*(-10 + (-4)\/2).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 131*d + 1710. What is j(23)?\nAnswer: -774","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -18*n + 115. Let d(u) = u**2 - 10*u + 8. What is d(n)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 79666, -38?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + o**2 - o - 1. Let g = -8 + 5. Let a(x) = x**4 + 3*x**3 - 3*x**2 + 3*x + 5. Let c(i) = g*u(i) - a(i). Find the first derivative of c(t) wrt t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -677\/131 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3084515 is divided by 1028076?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 16*a**2 + 56*a + 20. Let m be 0 + ((-32)\/(-3) - (-15)\/45). Calculate the remainder when i(m) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.06 rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 178596792 to the power of 1\/2, to the nearest integer?\nAnswer: 13364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9471, -2165, 10019, 27087, 49045, 75899, 107655, 144319?\n\"Answer: u**3 + 2433*u**2 - 11905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -165*i + 149*i. Let q(k) = 0 + 8 + 4 + 42*k + 4. Calculate the least common multiple of q(i) and 4.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n + 0*n + 0*n)*(-3*n**3 + 0*n**3 + 6*n**3) - 3*n**4 - n**4 + 5*n**4.\nAnswer: 22*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -4895?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*l, 4*o + o = -2*l + 699. Suppose 4*h + 4 = 0, -4*b = -9*b - h + o. What is the first derivative of b - 16*m**2 - 10 + 3 wrt m?\nAnswer: -32*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*-3 + 3 + sqrt(19) + sqrt(19)*2 + 5)*2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxv when three letters picked without replacement from {v: 4, x: 3, q: 2, k: 4, o: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0\/i)**(-30)\/(i*(i**(-1\/6)*i)\/i*i*(((i**(2\/3)\/i)\/i)\/i)\/i) assuming i is positive.\nAnswer: i**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 425591, 425219, 424833, 424427, 423995?\nAnswer: 423531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -782 + 141. Let g = z - -662. Suppose 3*n = -5*p + 238, 5*n - 220 = 2*n + 4*p. Calculate the remainder when n is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 9:34 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**4\/24 + m**2. Let t(l) be the second derivative of 7*l**3\/3 + 15*l. Determine n(t(b)).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.274 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11049251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60*12\/(-117) + 268\/(-1742)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 336 and 16422.\nAnswer: 131376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 18481367\nAnswer: -18481367.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 2. Let r(x) = -34*x - 14. What is 6*d(w) - r(w)?\nAnswer: 40*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 8*t**2 - 6*t + 1. Let x be r(-5). What is the units digit of x\/(-4) - (1 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -2, 2, -0.4, 311?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 2*j - 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express q - 1 + 1 + (2*q + 0 + 0)*(3 - 2 + 1) - 9198 + 18288 + 4*q - 9212 + 2*q + 0*q + q as f*q + r and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 6912*j + 7 - 16 + 4.\nAnswer: -6912*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(2 - -2) - (-5 - 41). Suppose 4*g = 4*u - 44, 2*g + c + 6 = 4*u. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -96.3167 + 0.1167. Let m = y - -96. What is the biggest value in -6, m, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5672 is divided by 51?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*s - 16, 7*f - 3*s - 30 = 3*f. Suppose -315 = -5*j + 5*z, -z - 213 = -3*j - f*z. Calculate the remainder when j is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6260 - -344154?\nAnswer: 334564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48281 - -48442.062. Let o = f + -161. What is o rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 2030, -9, -35.\nAnswer: -35, -9, -4, 3, 2030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2795*g + 210 = -2825*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -1, 2\/25, -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 5:54 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.6094 and 93.8.\nAnswer: 94.4094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*k + 2. Suppose 0*i + 2 = -k*i. Put i, 2, 5 in ascending order.\nAnswer: i, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g - 5*l - 13 = 0, 7999*l - 11 = -4*g + 5*g + 7998*l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 20*m**2 + 2012*m + 36842. Give k(-18).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15 - 10*h + 12 + 19 wrt h?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/(i\/(i*i*i**(5\/4))))\/i))\/i**(-11) assuming i is positive.\nAnswer: i**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10765 - 10754. Calculate the remainder when 375 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (1 - 2)) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/11)\/z**(-34)*(z\/((z**(-20)*z)\/z))\/(((z*z*z**(1\/12)*z*z)\/z)\/z) assuming z is positive.\nAnswer: z**(6949\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxdondoldodoxd. What is prob of sequence nxo?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -238, -224, -188, -118, -2, 172, 416, 742?\n\"Answer: 2*u**3 - u**2 + 3*u - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8799 + 75193 = 2094*x - 120164 + 10662 for x.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*a - 14280, -v - 8239 = -4*a + 3185. List the prime factors of a.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 151, 4, 3, 5.\nAnswer: -5, 3, 4, 5, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7205?\nAnswer: 5, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 12. Let b be j(5). Let a = -4 + b. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h. Suppose -106*a + 50 = -101*a. Let m(i) = a*i**2 + 1 + 4*i**2 - 22*i**2 - 10*i**2. Determine m(d(b)).\nAnswer: -882*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, r: 12}. What is prob of picking 1 r and 2 d?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 23. Suppose 7*k - 15*k = 96. Calculate the lowest common multiple of 23 and s(k).\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13056 or -15929?\nAnswer: -15929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -22. Calculate the greatest common divisor of 470 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 4. Suppose -4*b - 18 = 5*h, 2*h = b + 1 - 3. Let w be ((-28)\/35)\/(h\/(-10)). Give x(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239*i - 1279*i + 250*i + 241*i + 235*i + 311*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(16\/3)*s**(9\/2)*s)\/(s*s**(2\/7)\/s)**(1\/4) assuming s is positive.\nAnswer: s**(226\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Let a be -1*(-28)\/4 - (5 + 0\/(-8)). Suppose a*j - 52 - 20 = w. Calculate the highest common divisor of 54 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3858 is divided by 142?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnjoqqkqjqocqnqnq. What is prob of picking 1 n and 1 c?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) + -1 + sqrt(704).\nAnswer: -1 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71029 = 2*x - 5*n, 5*n + 93233 = 4*x - 48860. What is the ten thousands digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**2 + 20214*v - 141400 = 0. Calculate v.\nAnswer: 7, 10100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 48. Which is the second biggest value? (a) t (b) 0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.4, 1\/3, 3, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 89*x - 173. Let j(n) = 77*n - 182. Let h(q) = 2*q + 2. Let b(i) = 6*h(i) + j(i). Let d(t) = 2*b(t) - 3*c(t). Differentiate d(p) wrt p.\nAnswer: -89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.68 - 2.02. What is the closest to r in -0.3, 0.2, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 b when two letters picked without replacement from mbkpb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 1. Let l(w) = -289*w**2 + 3 + 4*w - 7 + 291*w**2. Determine l(m) + 4*p(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k. Let o(q) = 5*q**2 + 6*q + 5. Let u(h) = 6*f(h) - o(h). Let x(a) = -a**3 + 6*a**2 + 6. Calculate -6*u(j) - 5*x(j).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 87.07863 to two dps.\nAnswer: 87.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4. Calculate the remainder when (u + (3 - 4))*-15 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 7*t - 36 = 9*t. Calculate the smallest common multiple of 18 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -255 - -0.03?\nAnswer: -254.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8 = 3*j, 4*t = 2*j + 2*t + 6. Sort -45, -3, j.\nAnswer: -45, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 85042*o**4 - 1216985?\nAnswer: 340168*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (196\/686)\/((-17)\/2142)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 5:25 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 818865.0775 to the nearest ten.\nAnswer: 818870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, p: 1, b: 2, w: 1, a: 2, c: 8}. Give prob of picking 1 p, 1 b, and 1 a.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmw when three letters picked without replacement from lcmcmcwwwuwk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 10*l - 15. Let z be k(7). Is 3 a factor of 18\/5*40\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*l - 168*l - 285 + 984 = 0. Which is the fourth biggest value? (a) l (b) -4 (c) -1\/10 (d) 4 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0442, 25, -0.08, -4, 1\/4, -2, 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 10. Let d be i\/9 + (-8)\/(-12). Find y such that -y**3 + 1\/2*y - 1\/4 + 1\/2*y**d - 1\/4*y**4 + 1\/2*y**5 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 444632*l - 117720*l + 378986*l - 130898*l. Let h(k) = -658950000*k. Let u(g) = -6*h(g) - 6875*q(g). Let m be u(2). Round m to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90783 and 221914?\nAnswer: 1997226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1067\/149 or 0.1?\nAnswer: -1067\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(27)\/sqrt(9) - sqrt(21)\/(sqrt(28)\/sqrt(4)))*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3654 - -3655. What is the second smallest value in n, -5, -4, -0.1, 186?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 85 = 4*u. Let w = u + -2. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -233, -229, -223, -215, -205, -193?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 72.9 and 0.11.\nAnswer: 8.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*n = -160*n + 24. List the prime factors of (-1)\/(-3*n\/6831).\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 5 = 12. Calculate the least common multiple of 1 - n - (1 - 1) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**(-1)\/z))\/z*z)\/z*z\/z**(1\/7))**(-12)\/(z**(1\/3)*z*z**(3\/7)\/z*z*((z*z\/(z*z**(2\/3)\/z))\/z)**20) assuming z is positive.\nAnswer: z**(-299\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3 + 1438*o**2 - 5726*o + 4290 = 0.\nAnswer: 1, 3, 715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*o, h + 5*o + 34 = 3*h. Let r be (h\/(-15))\/(2\/(-5)). Let q be r\/5 + (-836)\/(-10). What is q rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jshn when four letters picked without replacement from {s: 3, g: 8, n: 6, h: 1, j: 1}?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 + 12*j**2 + 6*j + 19. Let l = -235 + 244. Is i(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apyyo. Give prob of sequence ya.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (0 - 2) + 3. Is 17 a factor of -3*q - (-170 + 3 + -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*48\/2016)\/(2\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**12)**12 assuming f is positive.\nAnswer: f**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j - 20. Let q be i(-6). Let y be q\/(-20) - 4\/10. Solve y = -2*l + 3 + 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/27 and 71\/70209.\nAnswer: 210627","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 13020862 <= 13020862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**4\/2 + 499*a**3\/2 + 269935*a**2\/2 - 813283*a\/2 + 271425 = 0. Calculate a.\nAnswer: -329, 1, 2, 825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*h, x - 4*h - 6 = -6*h. Solve -2*f = 4*k - 1 - 13, 5*f = 3*k - x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 2251.646?\nAnswer: -675.4938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4285 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 66898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 258463530 to the nearest 10000.\nAnswer: 258460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006767 rounded to four dps?\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*t - 8*t - 5*t - 21*t**2.\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -77.044211?\nAnswer: 7.7044211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u**3 - 8 + 8 + 0*u**3 + 0.\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3487.95649 - 3488. Let v = -18.956 + 19. Let t = v + w. Round t to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19\/156 + 265\/468. Which is the third smallest value? (a) -46 (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 11) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291398 is divided by 70?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 100 - 45. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 137785 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9629672949 to the power of 1\/2, to the nearest integer?\nAnswer: 98131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)\/o*(o**(-1\/4)\/o*o)\/o*o*o**5\/((o\/(o*o**1))\/o))**(-5\/7) assuming o is positive.\nAnswer: o**(-95\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111111000011001 - 100111010100?\nAnswer: 1001111010001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 46091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/544 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 111101001011111111011010?\nAnswer: 111101001011111111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*a + 397938, -a + 2*w = -51096 - 48381. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 144\/4 - 4. Let x = -12 + g. Calculate the lowest common multiple of 11 and x.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0 + 0)*(-3*t**3 + 2*t**2 - 2*t**2) + (-2*t**3 - t**2 + t**2)*(-6*t + t + 3*t) + t**4 + 2*t**4 - 4*t**4.\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Suppose 0*i + 3*i - 27 = o*z, 0 = -z - 5*i - 7. Let n(h) = h**2 + 11*h - 1. Calculate the remainder when 30 is divided by n(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 56*c**2. Let r(k) be the third derivative of 5*k**5\/12 + 913*k**2. Calculate g(r(f)).\nAnswer: 35000*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 1 = 4*u - 3*x, -2*u - 4*x = -28. Suppose 0 = -4*m - n + 884, 4*n + u = 3*n. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = p + 3*a, 4*a + 53 - 33 = -3*p. Sort 1, 4, 2, -4, p.\nAnswer: -4, p, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (3 + -2 - 7). Let s = a - 5. Suppose s = k + 5, r - k + 48 = 2*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 44768.\nAnswer: 313376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*m**3 + 2*m**2 + 4565*m + 5923007 wrt m?\nAnswer: -33*m**2 + 4*m + 4565","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 4, -8, 0.249, 18, -0.1 in descending order.\nAnswer: 18, 4, 0.5, 0.249, -0.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 divided by 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40558132*y**5 + 46*y - 210235 wrt y.\nAnswer: -811162640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15326 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -21*f + 11. Calculate the remainder when l(-4) is divided by 28.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s**3 - s**2 - 43*s - 226. Let x be u(-4). Let p = 30 + 18. What is the second derivative of 1 - 1 - p*c**4 - x*c + 352*c wrt c?\nAnswer: -576*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 85. Let j = -22 - h. What is the greatest common factor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**2 + m - 1. Let r(f) = 51*f + 6752 - 53*f + 7*f**2 - 6750. Let s be (-2)\/(-6) - (-29)\/3. Determine s*k(g) + 4*r(g).\nAnswer: -2*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 7*d - 4*d)*(-d**4 + 107*d**2 - 107*d**2).\nAnswer: -3*d**5 + 3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 190 - 135. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105305 + 16136841 = 65*y - 6929779. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 6027427.\nAnswer: 6027426.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*q - y, -3101*q = -3099*q + 2*y + 28 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y + 3 - 8*y + 8. Let j be p(8). Suppose -j*f + 66 = -63. Calculate the remainder when f is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2348 + 2491. Let v(d) = 12*d + 2. Let q be v(2). Calculate the greatest common factor of q and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0922, -1\/5, -20, -17 in descending order.\nAnswer: 0.0922, -1\/5, -17, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, 288, 4, -3 in increasing order.\nAnswer: -7, -3, -1, 4, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/17 (b) -0.4 (c) -13\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523170 is divided by 42.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/166043549?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b - 10. Let p be j(6). Let r(n) = n + 5*n + n**3 + 11 + 3*n + 7*n**p. Does 8 divide r(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7800*t + 232839 + 51403 = -144758 for t.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*m + g, 25 = -m + 6*m + 5*g. Suppose m*y - 52 = 7*y. Let j = 25 + y. Solve -p - 3*p = -j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 30\/(-3))\/((-5)\/30).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*x + 1258675 = -392475. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 + 3 = 0. Let h(r) = -r**3 - r**2 - 2*r - 3. Let a be h(-2). Let l = 4 - a. Put 2, l, s in decreasing order.\nAnswer: s, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 340997*g**3*w**3 + 275*g**3*w + 2*g**2*w**2 - 6*g*w**2 - w**2 wrt w.\nAnswer: 2045982*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 107. Suppose -o + s - 61 = 0. Solve 5*n + 3*d - 40 = 0, 4*n = -2*d - 3*d + o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (67\/((-670)\/30))\/((-90)\/8)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4565456 is divided by 652206.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -311110 (base 5) in base 12?\nAnswer: -5a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 296729805 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1354.\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 3 - 3)*(1188*h**2 + 493*h**3 - 1188*h**2) + (0*h**3 - h**3 + 0*h**3)*(0*h - 6*h + 4*h).\nAnswer: 495*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -207*l - 11738. Give m(-57).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 817457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205036 is divided by 66892.\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-6)*(-7 + (-391)\/(-34))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -13. Suppose 0 = 5*n - t, -z + 8 + 7 = 2*n. Let s = 35 + -28. What is the least common multiple of s and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 1\/2 (c) -4\/9 (d) 1\/9 (e) -3\/5 (f) -0.31 (g) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - 4*k + 2*k)*(-7*k + 10*k + 182 + 71*k**2 - 186) in the form o*k**3 + t*k**2 + w + y*k and give o.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 597 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f + 295 = 211 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 125, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 82*a - 848250 = 0. Is 42 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 210345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 139, 256, 373, 490?\n\"Answer: 117*v + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1\/4 (b) -3\/4 (c) 1\/3 (d) -6058 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32059164.\nAnswer: 2, 3, 2671597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -469 + 199?\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.549 + -2.449. Let n = 5.8 + -1.8. Let r be (-3)\/18 - 2\/4. Which is the smallest value? (a) n (b) r (c) v (d) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13518736523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 3, 2\/5, -0.2, 1\/4 in ascending order.\nAnswer: -17, -0.2, 1\/4, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3*4)\/((-24)\/(-1812))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58570100 + 186.\nAnswer: -58569914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 16*d**2 - 5*d + 12. Does 19 divide j(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence do when two letters picked without replacement from dyojoojjjjjjjjyjej?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 9*o**2 - 68*o - 2. Let u be f(8). Let i be 96\/10 + -10 + u\/5. What is the greatest common factor of i and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 4\/3 (c) -3\/8 (d) 6 (e) -7\/4 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-21))\/(1824\/1064)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 27659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/8 - (196\/260)\/((-84)\/(-35)) and 4\/(24\/(-19)) - 0?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.20842 - -1.79158. Let v be 168\/9 + (-1 - 0). Let c = v - 17. Sort i, 4, 1\/3, c in ascending order.\nAnswer: 1\/3, c, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-115)\/40 + 2 + 1. Sort -0.4, c, 0.1.\nAnswer: -0.4, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -16*p + 20*p + 164, -30 = 5*p. Solve -10*y + 15*y = 4*m - o, 15 = 5*y + 3*m for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 142, 218, -108, -1208, -3454, -7218?\n\"Answer: -62*m**3 + 171*m**2 - 3*m + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 258*o. Let f(g) = -g - 270693. What is f(k(a))?\nAnswer: -258*a - 270693","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219*45897.4.\nAnswer: 10051530.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -569, -1820, -3739, -6320, -9557?\n\"Answer: z**3 - 340*z**2 - 238*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -16\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -0.0059, -2\/7 in descending order.\nAnswer: 2\/13, -0.0059, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((980\/14)\/14)\/(((-8)\/(24\/(-9)))\/3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-21.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -4.3. Let w(f) = f**3 - 30*f**2 + 57*f - 27. Let i be w(28). Which is the nearest to i? (a) -1 (b) 2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 44*b**2. Let k(m) be the second derivative of m**4\/12 + 16*m. Calculate l(k(p)).\nAnswer: 44*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7264 and 319520?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 31 (b) 0.4 (c) 252245 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1246\/807 + 33\/269. Which is the nearest to 1\/5? (a) 3 (b) r (c) 5 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2 + sqrt(891) + sqrt(891) + (sqrt(891)*-1 - sqrt(891)) + 2)**2 - ((sqrt(891)*1)**2 + sqrt(891) + 3)*-6) + 3 + 2.\nAnswer: 54*sqrt(11) + 5385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -280.99445 - -281. Round x to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43\/12 + 1271\/348. Let k = 1818136\/145 + -12539. Let d = h - k. Which is bigger: d or -2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*o = 55 - 71, -5*a + 50 = 5*o. Let x = 2 + -2. Suppose 5*z - 15 = x, -2*z + 6 = a*u - u. Solve u*g - 4*g + 16 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 4. Let x be n(4). Suppose -b - 3 = 4*c, 3*c - 259 = 3*b - 280. Solve 3*t + 4 + b = x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012279915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 973 and 8.\nAnswer: 7784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 9*u - 3*f - 11, 22*u + 4*f - 52 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6326, -6320, -6314, -6308?\nAnswer: -6302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7883301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2415679 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (11091 - 40\/(-8))*1 - 7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -0.5, 2\/13, 1 in increasing order.\nAnswer: -6, -0.5, 2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 511, 1245, 2205, 3391, 4803, 6441?\nAnswer: 8305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**2 + 0*y + 0*y)*((2 + 2 - 2)*(1 + 0 + 1) + 1 - 2 + 2)*(428 - 863 + 337)*(1 + 0 + 1) to the form w*y**2 + v*y + s and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1180 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 47. Let r = -32 - u. Which is the second smallest value? (a) -0.4 (b) 1\/10 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 46617411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -0.5, 49, 4, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c*l**2*t + c*l - 2*l**2*t + 4*l**2 + 3*l*t + 1 wrt l.\nAnswer: -6*c*t - 4*t + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24049?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*d + 1103*d + 1583*d.\nAnswer: 2913*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*(-3)\/(-72) + 318\/18?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -85*x - 5691. Give l(-67).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-7 + -6) - 9 - 4) + 66.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 + g**4 + 2*g**2 + (0*g**2 + 8*g**2 + 0*g**2)*(16*g**2 - 8*g**2 + 12*g**2).\nAnswer: 161*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -6. Suppose -3*u = 5*c - 160, 0*u + 110 = 3*u - s*c. Is (2 - u\/(-12))*4 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0\/l)**28*l**7*l**(-2\/21)*(l**(-3)*(l**(3\/5)\/l)\/l*l)**(-14\/9) assuming l is positive.\nAnswer: l**(-4979\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/49)\/(1\/(-3)). Let q = -2.94 + 2.9. Let v = q - -0.24. Put v, 3, -1\/22, i in descending order.\nAnswer: 3, v, -1\/22, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnpnnnp. What is prob of picking 3 n and 1 p?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 269619 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(363))*3 + (-2 + sqrt(363) + -5 + sqrt(363))**2)*1*4.\nAnswer: -1100*sqrt(3) + 5944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -2052, -30 in descending order.\nAnswer: 2, -2, -30, -2052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 4*u**2 - u - 3. Let n be i(-6). Suppose m - 75 = n. Let o(k) = -m - 2*k**2 + 150. Let x(y) = -15*y. Calculate x(o(c)).\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 138, 265, 392, 519, 646, 773?\n\"Answer: 127*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 0*j + 0 + 55*j**2 - 1\/24*j**4 + 0*j**3. Let n(y) be the first derivative of 32*y**3\/3 - 3. What is n(x(u))?\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 - 49*l + 1. Let z be p(22). Calculate the highest common factor of 15 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1671*a + 1656 = -848*a - 869*a for a.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21232313 (base 4) in base 14?\nAnswer: -10755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(15\/10) - 632\/(-2).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z - 184 = 0. Suppose b = -0*b - 3*o + z, -o = -3*b + 98. What is the remainder when b is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15 (b) 0.029 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 4. Let x(g) = -9 + 17 + 18 + 16 - 42 - 11*g. Determine x(y).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 2088*k**2 - 19084*k - 16992.\nAnswer: 4*(k - 531)*(k + 1)*(k + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4927, -8511, -12095, -15679?\n\"Answer: -3584*v - 1343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**4\/24 + 3*v**2\/2 + 4*v. Let p(l) be the first derivative of q(l). Let j(w) = 6*w**2. Give j(p(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 136*h - 417. Give s(-17).\nAnswer: -2729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from oiboubmiz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -47, -46, -43, -38, -31?\n\"Answer: i**2 - 2*i - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 911062 is divided by 26029?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001111 rounded to seven dps?\nAnswer: -0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.5 + -3. Suppose -5*z + 4*s + 158 = 23, -5*z + 135 = -s. Let n be ((-6)\/4)\/(z\/72). What is the closest to -2 in l, n, 1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.6430771 rounded to 0 decimal places?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 956 and 1429459?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*j*r**2*x**3 + 9*j*r**2*x**2 + 9*j*r**2 - 13*j*r*x - 3894*j*x**3 - 2*r**2*x**2 - 33*r**2 + 3*r*x**4 wrt x.\nAnswer: -60*j*r**2 - 23364*j + 72*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 190, 197, 218, 259, 326?\n\"Answer: i**3 + i**2 - 3*i + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 8*v - 304. Let h be k(39). Suppose 0 = h*z - 1387 - 1301. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2971 and 1.25.\nAnswer: -2969.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1259, -4537, -9991, -17621?\n\"Answer: -1088*r**2 - 14*r - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -249245 divided by -18?\nAnswer: 249245\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-132)\/627)\/(64\/28576))\/(-1).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*o = 287*o - 224 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + r**2 + 9*r - 7. Let x(k) = 2*k**3 - 2*k**2 - 14*k + 10. Determine -8*o(i) - 5*x(i).\nAnswer: -2*i**3 + 2*i**2 - 2*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 174 = 8*d. Determine m, given that -15*m**3 - 2*m**4 + 6*m**2 + 66 + 16*m - d + 11*m**3 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -100853, -201537, -302221, -402905, -503589?\n\"Answer: -100684*b - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9297, -18595, -27893, -37191?\n\"Answer: -9298*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 491527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from zfufgzzxufxfzuggzuf.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -2 + -4 + -1 + sqrt(425))*-5.\nAnswer: -30*sqrt(17) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**6 - 945*k**4 - k**2 - 3*k + 1263 wrt k.\nAnswer: 120*k**3 - 22680*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.0155616 + -192?\nAnswer: -202.0155616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -3\/1430, -6184 in increasing order.\nAnswer: -6184, -3\/1430, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 2.5. Let k = 15.4 - 14. Let q = -1 + k. What is the closest to -1\/3 in -2, q, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 512 - 508. Suppose -u*x - 2840 = -8084. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 5 - 6 + 998*w + 5 as d + u*w and give u.\nAnswer: 998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-2 - -1)*-1. Suppose t*o = -3*o + 15. Let b be 25\/(-10)*(0 - (-4)\/(-2)). Solve -b*g + 13 = 5*w - 12, g - o = 5*w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 n when three letters picked without replacement from cqqnnccxxxcmccmmmk.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 5*v - 25, v + 57 = r. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 11 = -5*q, 5*q + 3 = 3*q + c. Let o = q - -4\/3. Put 0.3, o, -4 in decreasing order.\nAnswer: 0.3, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -v - 0. Let t(n) = n**2 - 21. Let o be t(4). Which is the closest to -0.2? (a) o (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 680 + -452. Which is smaller: 235 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*x = 70, 21*f - 16*f + 142 = -4*x. Let c be 43\/1 - 0 - 1. Let w be (f\/(-9))\/(35\/c). Solve -u = w*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -70539?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -8 (c) -1 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235 = -42*d + 59 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*a + 272 = 3*a, -3*a - 12 = 0. Let t = p + 77. Suppose -2*v + t*v - 5*w - 97 = 0, -5*w - 51 = -2*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 12. Let m be -11 + 4 + k - -3. What is the units digit of (-1)\/(5 + m) - -9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14, -45, -134, -311, -606, -1049, -1670?\n\"Answer: -5*h**3 + h**2 + h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -904154*a**2 + a + 454095*a**2 + 453264*a**2 - a.\nAnswer: 3205*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 3*h**2 - 4*h + 10. Suppose 0 = 2*j - 5*l + 17, -j - 2*l + 22 = 2*j. Let s be v(j). Solve -4 = 2*t + 2*f - 0, 3*t + s = -5*f for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3\/n)\/n*n\/n**2)\/(n**(-3))**(2\/23) assuming n is positive.\nAnswer: n**(6\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.29 (b) 3\/7 (c) 105\/127 (d) 1 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 702401 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k**4 + 218622*k**3 - 1311783*k**2 - 3279428*k - 1749024 = 0. What is k?\nAnswer: -218628, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 621.2393 milligrams in micrograms?\nAnswer: 621239.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 118339 + -55853.18?\nAnswer: 62485.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 76*a**2 + 26*a + 23. What are the prime factors of g(-12)?\nAnswer: 5, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/2019 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3112 divided by 7.\nAnswer: 3112\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -82*i**6 + 18*i**5 - 10*i**4 + 71128*i**2 - 1?\nAnswer: -9840*i**3 + 1080*i**2 - 240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 22, -1, 618.\nAnswer: -1, 2, 4, 22, 618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w*w**(-2\/55)*w*w))\/w)\/(w*w*w**(-21)\/w)*(w\/(w\/w**(-23)))\/(w*w**7*w) assuming w is positive.\nAnswer: w**(-878\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 4*y**2 + 5*y + 2. Let f be 5\/((-9)\/3 - -2). Let q be i(f). Solve -3*b + q*t = 2*b - 1, 3*b - 4*t = 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -4, 5.309, -3\/4, -1, 2, 20?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (5\/150)\/(44\/66) - 1605\/(-3900)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (72\/10)\/(-3)*(-6475)\/555. Solve 8*v - 15*v = x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34878 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/7120 and 97\/936.\nAnswer: 833040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**4\/3 - 5*l. What is o(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 6) to base 4.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12799402, -12799405, -12799408, -12799411, -12799414, -12799417?\n\"Answer: -3*t - 12799399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -164 + 164.1. Let a be (5\/((-50)\/(-42)))\/(3\/165). Is i at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*a + 4*a**2 - 100*a in the form l + d*a**2 + x*a and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7*b**2. Determine i(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 30*i**2 + 94*i + 262. Determine z(26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, h: 3, n: 13}. Give prob of sequence hnho.\nAnswer: 13\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in -3\/8, -4\/7, -7\/5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (-36)\/(-30)*-5. Let g(l) = -18*l**3 - 2*l**2 + 7*l + 12. Does 46 divide g(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*h - 4*h. Let y = 6 - h. Let g be y\/21 - 20\/(-84). What is the third smallest value in 0.2, g, -3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*a = -168 - 284, -4*t + 902 = -2*a. Calculate the greatest common factor of t and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 11135825 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 17*c + 7. Let z be g(11). Suppose -b - 4 = -0*b. Let x = b + z. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) 27 (b) -2\/9 (c) 7.54 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/575)\/((-3)\/((-90)\/24))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8591 or 1468948\/171?\nAnswer: 1468948\/171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*m, -2*v + v + 20374 = -2*m. List the prime factors of v.\nAnswer: 2, 3, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/3, 1, -28, 302, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 6*m + 10. Calculate r(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -123660 divided by -61830\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 827287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 + 90*j**3 - 375*j**2 - 5500*j + 22500.\nAnswer: 5*(j - 5)**2*(j + 10)*(j + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1168?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iim when three letters picked without replacement from {i: 19, m: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2486, -11347, -26116, -46793?\n\"Answer: -2954*o**2 + o + 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1410332341 (base 5) to base 13\nAnswer: -993054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-100))\/((-4)\/(120\/(-9)))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1484441 = 17*z + 475100. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1995*n**4*u + 8*n**3*u**3 + 141*n**2*u + 2*n*u**3 - 47*n wrt n?\nAnswer: -47880*n*u + 48*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) -2 (c) 1\/6 (d) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - 10 + 30*f - 2*f**2 - 14 - 4 in the form o + a*f**2 + q*f and give q.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n. Let h(u) = -1657*u**2. Give w(h(o)).\nAnswer: 6628*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0, 0.2, 23865?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = -0*r - 42. Let c(i) = 3*i**2 - 4*i - 2. Let y be c(4). Let p be (r\/4)\/((-3)\/y). Calculate the greatest common divisor of 10 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 488\/7 + 53\/14. Suppose -90*v**2 + 0 - 189*v**3 - 12*v - m*v**4 = 0. Calculate v.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*d - 6*d, -4*d + 22 = 3*l. Let s be l - 1 - 4*8\/(-16). Factor 56*q**2 - 8 - 28*q + 9 + 12*q**s - 20 - 21.\nAnswer: 4*(q - 1)*(q + 5)*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9, d: 10}. What is prob of picking 3 b?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15249920 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1370)\/(-90))\/1 - 15.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.0266 - 0.9734. What is the nearest to o in 3\/5, -1\/4, -0.2, -2\/107?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225344175 is divided by 7376?\nAnswer: 7375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 1. Let o = u + 2. Solve o*x + 8 = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 divided by 1420139.\nAnswer: 53\/1420139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.332 take away 4?\nAnswer: -1.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/((-3)\/(-1)))\/(-1). Suppose 5*k - 3*o = 9, i*k = -4*k - 2*o + 16. Solve 2 + k = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = a + 127, 3*q + 3*a - 79 = 125. Calculate the greatest common divisor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4 = 0, 3*g - 1 = r - g. Suppose 3*u - r = 12. Find the second derivative of 13 - 6*n + 3*n**u - 13 wrt n.\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 9*z**2 + 19*z + 1. Let o be 8\/12 - (-8)\/(-18)*15. Let n be x(o). Let y(f) = -86*f + 37. Is y(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one fifths of a hour?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rtt when three letters picked without replacement from srxtzrsrrtzrzxt.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}