diff --git "a/data/dm_maths/full_data_1/1268_11255.jsonl" "b/data/dm_maths/full_data_1/1268_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1268_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let h(n) be the second derivative of 4*n**3\/3 - 5*n**2\/2 + 84*n. Let z(s) = -7*s + 4. Calculate 5*h(b) + 6*z(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 23004921.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 2581286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 4*w**2 + 4*w - 5. Let b be c(3). Let k be 25 - (b + 4\/(-4)). Let y be 0 - 5*(2 + -3). Solve 5*s + 3*v = -v + 13, v = y*s - k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*328\/(-82).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 4\/3, -2.1, -4 in descending order.\nAnswer: 4\/3, -1, -2, -2.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*5\/(-75) + (-4)\/5. Let u(n) = 4*n**3 - n. Determine u(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19382 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1081 + -1077. Suppose 0 = -n + 4*n. Solve -c = -n*l - l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 214136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - q - 5. Let i be j(0). Let w(f) = f**2 + 4*f + 1. What is the lowest common multiple of 18 and w(i)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221 = -16*m - 173 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1928 a factor of 233658779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10575 and 1551?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 + 36.8. Sort h, 3\/7, -3, 5\/4 in decreasing order.\nAnswer: 5\/4, 3\/7, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -61 in 0.95, -2, -1\/2, -10304?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.11 + -0.11. Let h be 1 + (-5)\/2 + 1. Which is the nearest to 3\/7? (a) j (b) -0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 2. Let c be -2 + 3 + -2 + 2. Let g be (0 - 0 - c)*2. Sort n, g, -5 in increasing order.\nAnswer: -5, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20251444 (base 6) to base 9.\nAnswer: 1076671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1421 (base 5) to base 15.\nAnswer: 10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 43*m + 35*m)*(-2 + 6 - 2).\nAnswer: -16*m + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12283\/9460 + -58\/215. Calculate the common denominator of u and (-226)\/2*((-26)\/36)\/(-13).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -6*v. Let p(i) = i - 3. Let c be p(6). Let b(m) = m**3 - 5*m**2 + 5*m - 2. Let n be b(4). Let j(a) = -c*a + n*a + 0*a - a. Give j(l(u)).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 517 or -64574?\nAnswer: 517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2671503112 minus -43?\nAnswer: 2671503155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8.572407 meters?\nAnswer: 8572407000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 43?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22240787\/30 bigger than 741360?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*r**4 + 0*r**2 + r**2 + 0*r**2 - r**4 + 11*r wrt r?\nAnswer: 72*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17*82\/9061*(-1)\/2.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 374 = -17*t. Suppose t*k - 12*k = 7685. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*j**5 + 88 - 88 + (0*j**4 + 2 - 3 - j**4)*(3*j - 4*j + 0*j - 2*j + 4*j + 0*j + (-3*j - j + 3*j)*(4 + 2 - 7) - j - 4*j + 2*j - 4*j - j + 4*j).\nAnswer: -9*j**5 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1526*y - 864*y - 913*y)*(5*y**2 + 0*y**2 - y**2) + 0*y**2 + 0*y**2 - y**3.\nAnswer: -1005*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 5388.25 to the nearest 10.\nAnswer: 5390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.441879024 rounded to five decimal places?\nAnswer: -1.44188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6*p = 220. Let f(r) = r**3 - 8*r**2 + 11*r - 5. Let n be f(7). Let t = n + -1. Calculate the greatest common factor of p and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-30)\/(-100))\/(9\/90). Solve -7*a = -k*t - 5*a + 7, -2*t + 14 = a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -0*x - 120. Let b(y) = y**3 + 4*y**2 - y. Let a be b(-4). Suppose x - a = 2*o. What is the least common multiple of o and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79288704 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 4057238883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 11*b**2 - 21*b + 56. Determine y(12).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, -938, -5 in ascending order.\nAnswer: -938, -6, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86 - 55. Let f = n - 38. Is -8 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67176.\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 9:47 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 15 = -4*d, 5*d + 2*s + s = -39. Let q = 14 + d. What is the remainder when 23 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**6\/195 - g**5\/65 + g**4\/78 + 2*g**3\/39 - g. Find t such that s(t) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*w - 18 = 371*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 8*g**2 - 77*g - 3. Let l(x) = -5*x**2 + 38*x + 1. Determine 5*l(b) + 3*w(b).\nAnswer: -b**2 - 41*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7\/3)\/r**4)\/(r\/(r\/r**11*r))**(-2\/35) assuming r is positive.\nAnswer: r**(-121\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2.3*59\nAnswer: 135.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -758794 != -758792?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**3 + 0*d**3 - 2*d**3 + (15*d**3 - 4*d**2 - d**3 - 10*d**3)*(-2 - 2 + 5).\nAnswer: 2*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -7196052 + 5*o**2 + 13*o**2 + 7196048 - 4*o. Determine t(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11691025.\nAnswer: 5, 467641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 90 = -8*k. What is the greatest common factor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18*13\/12285)\/((-1)\/(-5))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99978)\/2566102*(1\/1)\/(1\/(-11))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5)\/(-20) - 6475\/1540 and 23\/3234.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 4*r + 4. Let d be p(-2). What is the second derivative of v**4 - d*v + 20*v**2 - 61*v**2 + v**4 - 10 - 3*v**4 wrt v?\nAnswer: -12*v**2 - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -568.5 - -213. What is p rounded to the nearest ten?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 940*p - 187*p = -24849 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1440?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241 - 45 = 2*i. What is the highest common divisor of 14 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 93250 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 196723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 104*w**2 + 36*w + 936.\nAnswer: -4*(w - 3)*(w + 3)*(w + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7540 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 34. Suppose 0 = -4*i - 3*x + 2, -3 = -3*i - x + 1. Suppose 0 = i*n - 120 + d. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -4. Suppose 3*i - 5 = -4*g + 18, -4*g + n*i + 41 = 0. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2*k = -2, -16*l + 17*l = 4*k + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -4985.606\nAnswer: -19942.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -1084.39053.\nAnswer: 1084.59053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -246323 (base 7) in base 4?\nAnswer: -23012000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9558270 divided by 531015?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6586, 6597, 6608?\nAnswer: 6619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-19)\/b*b*b**(10\/9)*b assuming b is positive.\nAnswer: b**(-152\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 4*q + 5*f, -f + 19 = -3*q + 70. Calculate the remainder when q is divided by (-3)\/(1 + (-52)\/40).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1070013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20771269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u - 12. What is k(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24b1 (base 13) to base 16.\nAnswer: 145e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 4:07 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551?\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3279, 5, 10909, -5 in decreasing order.\nAnswer: 10909, 3279, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*t - 26*t - 890*t - 598*t.\nAnswer: -1569*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4870337 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1372.019386 + 2.\nAnswer: 1374.019386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 523873399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 - 2*g - 1. Let x(n) = 8*n**2 + 9*n + 4. Suppose -i + 18 = -0*i. Give i*c(a) + 4*x(a).\nAnswer: -4*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*t + 323 + 486, 4*a = -5*t + 3145. What is the smallest common multiple of a and 150?\nAnswer: 7950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -694, -1391, -2088?\nAnswer: -2785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -854*w + 1711*w + 7 - 853*w. Let d(a) = a + 1. Give -c(s) + 5*d(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 778292.8 millilitres?\nAnswer: 778.2928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (802*g**4 + 29*g**3 - 1633*g**4 + 807*g**4)*(2 + 0 + 0).\nAnswer: -48*g**4 + 58*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0083 + 1.6383. Which is smaller: n or 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86 + -515\/6. Let b(o) be the second derivative of 0*o**2 + 0*o**3 - n*o**4 + 0 - 2*o. Let u(f) = f**2. Calculate b(u(j)).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 9*r + 8*r - 12 = 0, -12 = 5*v - 2*r. What is the biggest value in 4, v, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26951, -26756, -26561, -26366?\nAnswer: -26171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 11*n + 12 = 0. Calculate the remainder when 6 is divided by ((-6)\/n)\/(5\/(-10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/940 and -29\/573400.\nAnswer: 573400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1849479734.\nAnswer: 2, 197, 4694111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -49*f**2 + 8*f + 13. Let r(o) = 100*o**2 - 14*o - 26. Calculate -3*r(c) - 5*v(c).\nAnswer: -55*c**2 + 2*c + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*l + 936094 = -20876. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 8 + -1 + -5 - (0 + 13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 385\/(-55)*3\/(-77). Which is the biggest value? (a) 2 (b) 4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/6 of a century?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 181\/17 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0\/r*r)**(4\/11)\/(r*r**(-1\/2)*r**(-4\/5)))**(-2\/63) assuming r is positive.\nAnswer: r**(-1\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = -13*x - w, -5*w - 39 = -13*x + 14*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*x + 3 + 5 + 18*x + 8 wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100414\/3572 + 123\/(-4674) + -28?\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*q - 116*q - 189*q + 20325 = -131*q for q.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, 3\/2, 4, 5\/2, 300305?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**7\/c)*c**0)\/(c\/((((c**0\/c)\/c*c)\/c)\/c))**(-2\/11) assuming c is positive.\nAnswer: c**(-58\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 90 = g + 17, -10 = -2*c. What is the remainder when g is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**2. Let o(y) = y**3 + 5*y**2 + 5. Let n be o(-5). Suppose n*t = 2*t + 9. Let u(b) = 2*b + 4*b - t*b - 4*b. What is j(u(a))?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-84)*-4*-1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {d: 4, e: 6}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (83 + -161 - -36) + 15 + 1.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 291*x**3 + 1412*x**2 + 601981*x wrt x.\nAnswer: 1746*x + 2824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h + 5. Let w(m) be the first derivative of 7 - 3\/2*m**2 + 3*m. Give -4*k(a) + 7*w(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (44\/10)\/((-27)\/(-135)). What is the greatest common factor of 176 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -1329461.21.\nAnswer: -3988383.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d226 (base 14) to base 10.\nAnswer: -36098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -584\/33 - -1326\/77. Find the common denominator of 10\/24*(-7)\/(-5) and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28677532 to the power of 1\/2, to the nearest integer?\nAnswer: 5355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 3*u + 5. Let w be p(2). What is the closest to -0.1 in 1, w, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -0*r, -4*r = -a + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {z: 2, x: 18}.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -92 - -80. Let p be ((-6)\/(-7))\/(q\/(-168)). Suppose 20*n - 18*n = -p. Put -5, n, 1 in ascending order.\nAnswer: n, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1051194 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -72*h**2 + 622*h - 4898. What is s(8)?\nAnswer: -4530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10 and -2949?\nAnswer: 2939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 8:36 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + h - 1, 9 = 187*h - 190*h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.836 - 0.7378. Round v to 3 dps.\nAnswer: 0.098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j**2 + 274*j - 42. Let a be s(-46). Calculate the greatest common divisor of 240 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -4. Let n = 26 - 13. What is the closest to -0.1 in w, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130.9*0.03.\nAnswer: 3.927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1496 + 48*y + 2*y**5 + 274*y - 1496 - 78*y**3 wrt y.\nAnswer: 40*y**3 - 468*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141748\/52 - 1 - (-4)\/52?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8017.349 centuries to years.\nAnswer: 801734.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 847 divide 1534385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-22)\/18 + 20\/90. What are the prime factors of ((-18)\/12)\/(3*m\/1036)?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(3*r - r + 0*r)*(1 - 1 - 5*r).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -348\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -25*p**3 + 2*p**2 + 2*p + 1. Suppose 0 = -h, -5*t = -4*h - 2 + 7. Is 13 a factor of n(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 0*n**2 + 3*n**2)*(-1 + n + 1)*(413174 - 27*n**2 - 413174).\nAnswer: -54*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14878637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81 - 731\/9. Let h(m) = m**2 - m - 1. Let d be h(-1). Let f be 2\/6 + (-2)\/15. What is the nearest to -0.1 in f, z, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3972121.\nAnswer: 19, 41, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132380615 is divided by 474.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 - 5*m - 1. Let f be (63\/(-7))\/((3\/25)\/(-3)). Let a = f + -222. What is the remainder when n(5) is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from xscracyx?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (312*y**2 - 300*y**3 - 312*y**2)*(0*y**2 - 2*y**2 + 8*y**2) + 2*y**5 - y**5 + y**5 + y - y + 2*y**5.\nAnswer: -1796*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*a**2 - 7*a**2 - 14*a**6 + 23*a**6 wrt a.\nAnswer: 1080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*o + 52. Let x = o + 52. Suppose 3*q - x = 15. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 45*h**3 + 55*h**2 + 10*h = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 720618078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-8*g - 6 + 6)*(g**2 + g**2 + 0*g**2).\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -21*g - 3. Let m(f) = -f - 2. Let b(k) = 11*k + 13. Let c(a) = -b(a) - 6*m(a). Let l(q) = -9*c(q) + 2*d(q). What is l(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1267613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*a*n**3*s**2 - 3*a*n*s**2 - 22*n**4*s**2 + 5*n**4 - 22*n**2*s**2 + 43*n**2*s - 3*n**2 wrt n.\nAnswer: 36*a*s**2 - 528*n*s**2 + 120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1488 and 249798.\nAnswer: 1998384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -16*t. Determine o(3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7 and -2126?\nAnswer: 2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 1. Let t(b) = 5*b + 5. Let v(u) = 6*j(u) + t(u). Let x = -5 - 2. List the prime factors of v(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.770243877 rounded to 3 decimal places?\nAnswer: -1.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y**2 - 8*y + 12. Let t = 92 + -91. Let q(g) = -g**2 + 1. Let k(l) = t*r(l) - 5*q(l). Determine k(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5178691 and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7952 or 8381?\nAnswer: 7952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 + 55. Suppose -p - 57 = -g. What is the remainder when g is divided by 4\/(-28) + ((-1900)\/35)\/(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8221*(6 + 5)*((-4)\/4 + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -0.04 (c) -5 (d) -10 (e) 2\/15 (f) 1\/8 (g) -5.78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 1, g: 1, i: 5, y: 3, f: 2}. What is prob of picking 1 i and 1 g?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 962143 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60.62 - 60.72. What is the fourth smallest value in 9, 1, d, -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1964*j - 4903 = 1715*j + 1073 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*m - 337497 = -337322 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 + 59*g**2 + 46*g - 406. Determine b(30).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.5, -2, -3\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2270*i + 144 = 2286*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 238677*f**4 + 130*f + 405.\nAnswer: 2864124*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.86 - -2.37. Let m = l - 4.91. What is m rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4385576908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((319005\/(-102))\/139)\/(2*3\/(-8))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10466.\nAnswer: 2, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -820 + 825. Let m(d) be the first derivative of 0*d**3 + d**2 + 0*d**4 + 1\/2*d**6 - 6 + 0*d + 0*d**c. What is the second derivative of m(j) wrt j?\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 8*z - 3. Let x = 12 + -9. Let b be p(x). Let l be (-342)\/(-21) + (-6)\/b. Calculate the greatest common divisor of l and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90819769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 1.6, 1.36, 2\/9, 0.4, 47 in decreasing order.\nAnswer: 47, 1.6, 1.36, 0.4, 2\/9, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -5, -1, 8, -2 in decreasing order.\nAnswer: 8, -1, -2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 0*s**4 - 1\/6*s**5 + 0 + 0*s + 0*s**3 + 8*s**2. Let j(i) = 88*i - 55*i - 31*i. Calculate j(o(b)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1. Let w(o) = o**3 + 10*o**2 + 8*o + 3. Let c be w(-9). Let v(g) = 2*g - 12. Let n(d) = c*u(d) + v(d). Let h(l) = 6*l. Give h(n(j)).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21e01 - -1?\nAnswer: -21e00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5103 divided by 10?\nAnswer: 5103\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.6 times -0.224?\nAnswer: 2.5984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/26848 and 37\/258412?\nAnswer: 2067296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5090*-0.002\nAnswer: 10.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.8 and 1441.8.\nAnswer: 8362.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than 22638230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8)*-2*12. Suppose 6 + 0 = -l - 4*q, -5*l = -4*q - 90. Let a be 11\/7 + 6\/l. Solve u - r = -d - 0, -5*u = -2*d - a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**3 + 26*c**2 - 12*c - 20. Let u be a(-9). Let h = -83\/18 + -5\/2. Let y = u + h. What is the second smallest value in -1, y, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 2 (b) -2\/27 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4\/55 (b) -0.59 (c) 0.4 (d) -9 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*a + 2, 195 = 3*u - 3*a. Let m be (-16)\/u - (-50)\/8. Suppose -m*x = -t - 4*x + 2125, 8526 = 4*t + 5*x. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6.750953 milliseconds?\nAnswer: 0.006750953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-858)\/(-12) + 1\/(-2). Let y = u + -62. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1220 and 222345?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1242)\/(-36))\/(((-636)\/16)\/53).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75249 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/60 or 0.1?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301 + 3021?\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -202\/7 (b) -4\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 652.7837 millilitres to litres.\nAnswer: 0.6527837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -21.22 less than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -140 + 445. Calculate the remainder when v is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/11 - 69*b\/11 + 142\/11.\nAnswer: -(b - 2)*(b + 71)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, d: 1, x: 1, q: 1, j: 2, f: 1}. What is prob of sequence xaj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3164 = 17*i - 14520. Let k = i - -13. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -58\/5 (b) 0.2 (c) -0.3 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.856 + 71.056. Let p = w - 62.9. Round p to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7 - 58\/7*u - 20\/7*u**2.\nAnswer: -2*(u + 3)*(10*u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2950, 5970, 9124, 12478, 16098, 20050, 24400?\nAnswer: 29214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86 - -393. Suppose 2*o - 201 = 3*x, 7*o - r = 4*o - x. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqgqqqqgqqqqq. What is prob of sequence qqg?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245 and 238245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a60a (base 13) to base 10.\nAnswer: -51555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.409.\nAnswer: 0.0818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n - 2. Suppose 2*t = 5*l - 0*l - 11, -t - 5 = -2*l. Let h be f(t). Let p = h + 30. Sort p, -2, 5 in ascending order.\nAnswer: -2, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 134*u + 899. Give a(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8571355465 - -123014?\nAnswer: 8571478479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {h: 1, q: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1347976904*s**2 + 1293950019 wrt s.\nAnswer: 2695953808*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 14*i + 73. Let j be v(-5). Suppose -4*q - l + 3 = 0, 3*l + 2 = -2*q + 11. Solve 0 = -q*b + b - j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*m = 14, 4*o - 4 = 5*m + 8. Let h = -3 - -3.2. Let f = h + -0.2. Which is the nearest to f? (a) 5 (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 9*t. Let x(p) be the first derivative of 13*p**4\/12 + 127*p - 96. Let n(o) be the first derivative of x(o). Give n(r(c)).\nAnswer: 1053*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22960571 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*j + 10 + 2 = 0, 0 = -3*j + 6. Let u(q) = q**3 - 10*q**2 + 3*q - 11. What is the tens digit of u(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -284.56264 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: (3\/(-18) - (-190)\/(-12)) + 7\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*g - 16*g**2 - 183*g + 92*g + 0*g - 58.\nAnswer: -16*g**2 - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008089 to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6401154 + -4521154. What is o rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from psydl. What is prob of sequence pl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 922 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111100011 - -11?\nAnswer: -1111100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**5 - 55*o**4\/4 - 85*o**3\/3 + 315*o**2\/2 - 180*o + 2244. Suppose k(t) = 0. What is t?\nAnswer: -3, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65 by -120686.\nAnswer: -65\/120686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2))\/(((-416)\/(-3))\/16*21\/14)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 4:23 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**3\/3 - 56*y**2\/3 - 104*y\/3 = 0. Calculate y.\nAnswer: -26, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yx when two letters picked without replacement from {x: 1, c: 1, w: 5, y: 7}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8419.5593 and 16.\nAnswer: 8435.5593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15\/19 (b) -60 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -236 - -491. Let a = -128 + t. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 24*z**2 + 40*z + 41. Determine l(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4 = -a. Suppose -4*f = -g - 191, -a*f = -0*f + 4*g - 100. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 21*u + 2. Calculate the remainder when n(1) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 472 = -3*v - 170. Let b = v - -1595. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 776045053?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 5*v**2 - 7*v - 5. Let o be (-12 + 3)*(-4)\/6. Let n be -4 + o - (0 + 8). Give w(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.35370705164 + -2.\nAnswer: -2.35370705164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -9. Suppose -2*x = -n*x - 34491. Let m = -19191 - x. What is m rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2157500 - 114?\nAnswer: 2157364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-4 - -17) - -17.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-37 - -34 - 24) + 67\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -13 - (87 + -6 + -27).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 13507517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -209*v. Let x(t) = -11*t. Give 4*h(j) - 77*x(j).\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4)*r**(1\/18)*r*(r*r**(9\/5))\/r**13)**(-3\/14) assuming r is positive.\nAnswer: r**(169\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 12 - 6 = -c, c = -3*p + 50. Let j = p + -14. Let q(y) = 4*y - 2*y**j + 5 - 3 - y**3 + 1. Determine q(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18817, 18816, 18815, 18814, 18813, 18812?\nAnswer: 18811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1512.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Let y(z) = -5*z + 30. Let r(a) = 5*a - 30. Let u(q) = -3*r(q) - 4*y(q). Let h be u(6). Solve -3*n + 3*p - 12 = d, 4 = -h*n + n + p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14.8, 113, -0.02 in descending order.\nAnswer: 113, -0.02, -14.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-45)\/9 + (-63)\/(-12). Let o = 1.05 - 1.25. What is the nearest to 6 in -2\/19, f, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*a**2)*(2 - 2 - 2*a) + 3*a**3 - 40*a**3 - 19*a**3.\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-5))**(-3\/7)*(o**(-3\/7))**(2\/3) assuming o is positive.\nAnswer: o**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -201 - -201. Let n(q) be the third derivative of -5\/6*q**3 + t - 2*q**2 + 0*q**5 - 1\/60*q**6 + 0*q**4 + 0*q. What is the derivative of n(a) wrt a?\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**4 - 2*j - 2*j**2 - 2*j**2 + 11*j**3 - 13*j**3 to the form w*j**2 + v*j**4 + u + h*j**3 + m*j and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/3059 and -14\/23?\nAnswer: 3059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + y - 39 = 0, -y - 68 + 17 = -5*a. Is 10 a factor of (1 + 23\/(-3))\/(a\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -37\/70*m**7 + 185\/6*m**3 + 0*m + 0*m**5 + 0*m**6 - 5*m**2 + 0 + 0*m**4. What is the first derivative of r(f) wrt f?\nAnswer: -444*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 190 - 192. What is the third smallest value in m, -1\/3, -8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 16869614 = -31630386. Round y to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51\/203 - -1\/29. Let n = -1\/28 + i. Let v = -49 - -47.4. Are n and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2408944, -2\/9, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 163893100?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**5 + 441*r**4 + 18837*r**3 + 194475*r**2 + 660888*r + 484812 = 0?\nAnswer: -67, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a microsecond in nanoseconds?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 134?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + k + 3*k)*(0*k + 0*k - 2*k) - 2*k**2 + 0*k**2 - k**2 + (-2*k + 1 - 1)*(-25 + 25 - 3*k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwq when three letters picked without replacement from {j: 1, q: 2, p: 2, g: 1, w: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**2 + 1240*k - 384400 = 0.\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -146983, -293917, -440851, -587785, -734719?\n\"Answer: -146934*f - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*d**2)*(d - 3*d + 0*d) + 17*d - 17*d + 2*d**2 + 1 - d**3.\nAnswer: -5*d**3 + 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1223?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/1 + 10 + -15. Find the common denominator of ((-38)\/3)\/((-1 + 2)*z) and -37\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**4 + 5*t**4 - 4*t**4 - 2*t**4 - 3*t**4 + 2*t**4 + (0*t**2 - 3*t**2 + 2*t**2)*(-t**2 - 4*t**2 + 4*t**2) - t**3 + 5*t**3 - 2*t**3 - 2 + 2*t**4.\nAnswer: t**4 + 2*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 20 = 3*l, -5*t = l + l + 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, l: 1, a: 2, f: 3, v: 2, h: 2}. What is prob of picking 1 t, 1 v, and 1 a?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17, 0.2, -0.2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(896)*-1)\/((2*sqrt(48)\/sqrt(3))\/(-5*sqrt(32))).\nAnswer: -240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3 = -q, 4*q - 2*f = -6*f - 12. Do q and 3\/37 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.4 (b) 3 (c) 4 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -9*s. Suppose s = 4*y - 6 + 14. Let w = y + 5. Solve n + 3*k + 8 = 0, -k - 20 = -w*n + k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00058887301 rounded to 5 decimal places?\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 494, 3202, 10506, 24698, 48070, 82914, 131522, 196186?\n\"Answer: 382*c**3 + 6*c**2 + 16*c + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*-2*5)\/(-5*sqrt(20)\/sqrt(5)) + -2)**2.\nAnswer: -24*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.95 + 10.95. Let x = 6 + -2. Sort -0.02, t, -1\/4, x.\nAnswer: t, -1\/4, -0.02, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1697433364.\nAnswer: 2, 11, 379, 101789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 12. Let h = -0.2 + 1.2. Which is the second smallest value? (a) h (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -158918000 to the nearest one million.\nAnswer: -159000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20029 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 14092182 and 1.2.\nAnswer: 14092183.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -5*h + 419 - 564, -187 - 58 = -8*q - 5*h for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2202204 - 115.\nAnswer: 2202089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62208 and 2673.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -32*x + 40*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2669*r = -1857*r + 2337*r + 24636 - 150596 for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 2*c - 33*l + 6*l + 14*l, 4*l = 2*c - 52 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -w + 108. Suppose 6*f - w = 2*f. List the prime factors of (-2)\/(-10) - f\/(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*z = -6*z + 16, -2*z = -4*k + 2. Suppose -253 = -k*o + 53. Suppose 3*q = 3*p - 147, 0*p + q + o = 3*p. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from {j: 1, m: 2, a: 7}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -156 - -93. Let k = -9 - x. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08638 + 0.263\nAnswer: 0.34938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2244 is divided by 747?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 - 2. Let r(j) = 11*j**2 - 3*j + 17. Let l(a) = r(a) + 6*s(a). Determine l(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 23, 9, -7, -25, -45?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22763*r**2 - 2*r - 3242 wrt r?\nAnswer: 45526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18 + -30 + 332\/(-84)*-3. Which is the third smallest value? (a) -4 (b) 2 (c) 0.13 (d) f (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(54)\/sqrt(2) - sqrt(27))*6)\/((sqrt(9) - (sqrt(9) + sqrt(54)\/sqrt(96))) + -2*sqrt(9)*5).\nAnswer: -72*sqrt(3)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 2\/3, -5, -0.1, -0.043?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130717807.\nAnswer: 11, 43, 276359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 723 + -5059\/7. Which is the nearest to 0? (a) 8 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 714.1 - 749.1. Sort -1\/6, -6, i in increasing order.\nAnswer: i, -6, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f. Let c(x) = -1. What is c(m) + j(m)?\nAnswer: 8*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 3*z**2 - 4*z + 4. Let l be o(4). Let f(j) = 9 - l*j**2 - 8*j + 3*j**2 + 2*j**2. What is the remainder when 35 is divided by f(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 12 = -2*x. Suppose x*f = -166 - 851. What is the common denominator of 79\/10 and (-2 - -1) + f\/(-66)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 7*v**2 + 6*v + 3. Let p be j(6). Solve -5*f - 4*z = -24, -4*f - 2*z + 15 = -p*z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/sqrt(3) + 1.\nAnswer: 1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*(2 + sqrt(7) + -1 + sqrt(175) + -2))**2.\nAnswer: -432*sqrt(7) + 9108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 1894*s - 5700.\nAnswer: 2*(s - 950)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35280.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -154522430 - 3?\nAnswer: -154522433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -1\/2. Let m be -2*((-25)\/(-12) - 2). Which is the closest to v? (a) 0.2 (b) m (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65797961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -2. Suppose -14*s = -315 + 259. Put -1, i, 2, s in decreasing order.\nAnswer: s, 2, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 16172.7 millilitres?\nAnswer: 16.1727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-132)\/(-28) + -3)*-7. Let j be (-10)\/b + 4\/8 + 0. What is the closest to 1 in -7, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/9 and -55\/1052093238.\nAnswer: 3156279714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21525?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.12 - -1.2. Sort -1, n, -2\/19.\nAnswer: -1, -2\/19, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 178 + 188 = 0. Sort -0.1, f, -5, -4 in ascending order.\nAnswer: -5, -4, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 205495131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*b, -h - 3*b = 4*h. Let v = h + -1. Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(sqrt(2) - (sqrt(2) - sqrt(8))) + sqrt(17) - (sqrt(1088) + -1 + sqrt(1088)))**2 + -5 + 2.\nAnswer: -29*sqrt(17) + 14289\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -61135 (base 12) in base 15?\nAnswer: -2766e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from {l: 14, t: 5}.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1388\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4*s + 18, 8 = 2*d - s - 2*s. Let o be (-2 - 3\/6)*d. Let y(p) = -p**2 - o + 7 - 6. Let n(g) = g**2 + 3. Give -6*n(m) - 5*y(m).\nAnswer: -m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5*(-2 + -2*(sqrt(3) + 0)))**2 + 3.\nAnswer: 200*sqrt(3) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34917 - 12*d + 14*d + 2*d**3 - 34917 - 12*d + 10*d.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmrmmmrhmmmmhhhmmh. Give prob of picking 1 m and 2 r.\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12312?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmqmmqqt. What is prob of sequence tqmq?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5973, 11947, 17921, 23895, 29869, 35843?\n\"Answer: 5974*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/2 - 17\/10. Let r be (-4)\/((-480)\/(-376)) + (-6)\/(-45). What is the nearest to r in 0.5, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.2, 0.5, 72 in increasing order.\nAnswer: -0.3, 0.2, 0.5, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**3*m*z**2 - 2*g**3*m + 95*g**3*r + g**2*r*z + 4*g*m*r - m*r + 151*r*z**2 wrt g?\nAnswer: 12*m*z**2 - 12*m + 570*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (8\/((-192)\/18))\/(27\/(-23724))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 20. Let k = -4\/427 + 866\/1281. Which is the closest to 2? (a) o (b) 12 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 2077158\nAnswer: 1\/346193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**5\/60 + 10*d**2. Let i(f) be the third derivative of -f**4\/24 - f**2. Give b(i(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p**2\/5 - 45554*p\/5 - 13016\/5 = 0 for p.\nAnswer: -2\/7, 6508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31520972.\nAnswer: 2, 7, 751, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 29*z**8\/28 + z**6\/10 - z**4\/12 + 527*z**3\/6 - z + 3. Find the third derivative of j(p) wrt p.\nAnswer: 6960*p**3 + 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -26.\nAnswer: -9\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 - 2. Let p(k) = -3*k**3 - k**2 - k - 2. Let s(w) = -4*b(w) + 3*p(w). Let z be s(-3). Suppose -z = -3*c + 7. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135116 (base 8) to base 7.\nAnswer: 256023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p**2 - 60*p + 17. Let g be x(-18). Let v = g + 1303. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**7\/42 - 8*z**6\/5 + z**3\/3 - 91*z**2\/2 - 57*z + 1. Find the second derivative of q(c) wrt c.\nAnswer: 20*c**3 - 576*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81 and 26557251.\nAnswer: 717045777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1458\/810)\/((-42)\/(-20))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2496652, -2496663, -2496676, -2496691, -2496708, -2496727, -2496748?\n\"Answer: -d**2 - 8*d - 2496643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 7:48 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -105595 - -220375. Round q to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.4 + 1.4. Let q = -7.01 - h. Let g = -0.11 - q. Which is the closest to g? (a) 1\/3 (b) -2\/11 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kd when two letters picked without replacement from kffopxd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1248, 9851, 33178, 78591, 153452, 265123, 420966?\n\"Answer: 1227*x**3 + 14*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 10. What is the derivative of 3 - 3 - 1 - j - 6*n wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9079183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 0 - 1\/2*r**3 - r**2 + 3*r - 1\/12*r**4. Factor u(g).\nAnswer: -(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09967289 to four dps.\nAnswer: -0.0997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75492*s**5 + 997*s - 88.\nAnswer: 1509840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (126\/(-273))\/(7\/273)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-1*sqrt(102) + sqrt(102))*5)\/((sqrt(108)\/sqrt(3))\/sqrt(6)))*1*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11774 and 870?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 202618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 0*s**4 - 1\/2*s**3 + 0*s + 0 + s**2 + 0*s**5 + 13\/120*s**6. Differentiate j(l) with respect to l.\nAnswer: 39*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10807293 and 4.1.\nAnswer: -10807288.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -12, -2*i + 4*s + 11 = -17. What is the lowest common multiple of 20 and 4 - (4 + -8 - i)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 83, 165, 265, 383, 519, 673, 845?\n\"Answer: 9*z**2 + 55*z + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 5*c + 25. Let r(p) = -5*p + 25. Let j be r(c). Solve j = -s - 3 + 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 - 2*m**2 + 0*m**2 + (4 - 3 + 1)*(-m**2 + 4 - 4) + (1 + 3 - 5)*(-2 + m**2 + 2) + (-m + 3 - 3)*(-16*m + 4*m - 15*m).\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/6))**9 assuming s is positive.\nAnswer: s**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.0331 (b) 8\/381 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*s + 36*s - 2*w = -17, 7 = 3*s - 2*w. Let f be ((-2)\/(-2))\/((-1)\/(-2)). Suppose -s*q = -4*p + 45, -3*p - f*q = -3*q - 30. Solve 0*b - p = 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 102 and 81 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010010100 - 10?\nAnswer: 1000010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-565817.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 32.\nAnswer: -7\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f + 2*f - 5*f - f + 0*f - f + f - 2 + 2 + (0 - 3 + 5)*(-f + 6*f - 3*f) + f - 5 + 5.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 + 6 - 4)*(-1 + h + h + 0) to g + t*h and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 6:57 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.96 * -762\nAnswer: -731.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 930635?\nAnswer: 5, 373, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (9996\/(-5236))\/(24\/(-44))\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*i - 254 = -4 + 2 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1679324 + -26.5548?\nAnswer: -1679350.5548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 + -2 + 2 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1789 - 1789. Let l(g) = -g + 8. Let s be l(0). Suppose 7 = -s*c + 3*c - 4*h, -h + 1 = 4*c. What is the third biggest value in 3, n, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*n - 146 = 657. What is the remainder when 3134 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + (sqrt(190) - -1*sqrt(190))*2 + sqrt(190))\/(sqrt(40)\/(sqrt(4) + sqrt(36))).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12536749363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-4)*16\/(-30). Let o be 4\/34 - (17 + 17 + (-44220)\/1275). Factor 1\/5*q**2 - w*q + o.\nAnswer: (q - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 13. Let n(k) = -5 + 162*k + 201*k - 9*k**2 + k**3 - 353*k. Calculate n(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -29*n**2 - 4*n + 4. Let v(w) = -51*w**2 - 7*w + 7. Let m(f) = 4*v(f) - 7*y(f). Let s(u) = 1018*u. Calculate m(s(b)).\nAnswer: -1036324*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 390 + -416. Let b(t) = -31*t - 53. Does 10 divide b(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4672472018.\nAnswer: 2, 73, 103, 310711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1377)\/54*(-8)\/((-12)\/(-3)). Solve z*c = 33*c - 36 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4455 + -2404. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/274 and -31\/10?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 10:17 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(931) + sqrt(931) + sqrt(931) + 4 + sqrt(931) + 0 + sqrt(931))*1 - (0 + 0 + sqrt(931) + sqrt(931) + -4)**2)*6 + 2).\nAnswer: -134484 + 5292*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19814247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 35. Let t be ((-2)\/4*-2)\/(z\/56). Suppose 2*q + 4445 = t*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.4602 - -968.\nAnswer: 965.5398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.309\nAnswer: 0.0618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**4 + 3*a**4 + 3*a**4 + (-a**2 + 0*a**3 + 0*a**2 + 3*a**3)*(2*a + 2*a + 3*a).\nAnswer: 22*a**4 - 7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 348.291858 to 1 decimal place.\nAnswer: 348.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 858 - 419. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.66695ml in litres?\nAnswer: 0.02066695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 r, and 1 w when four letters picked without replacement from {t: 5, r: 1, x: 5, w: 1}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/108*((337\/(-2359))\/((-10)\/(-14)))\/(-1).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/23)\/v**19)\/(v\/v**(2\/9)*v*v*v\/v**(-13)) assuming v is positive.\nAnswer: v**(-7388\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 5) in base 3?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 712\/5 + 6 + 135\/(-25). Let l = -87 + v. Let k(m) = 3*m - 2. Let h be k(3). What is the greatest common divisor of h and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*d + 2, -2*d - 1 = 3. Suppose 36*g - 1012 = -8*g. Suppose -i + 9*a - 5*a = -3, 4*a + g = -3*i. Sort l, 4, i, -3 in increasing order.\nAnswer: i, -3, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 3:08 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 6*r = 78. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -400.8 and 1.\nAnswer: -399.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 4*h - 10, 8*h = -4*l + 10*h + 4. Suppose l*w - 31 + 16 = 0. Which is the second smallest value? (a) w (b) 4\/3 (c) 12 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsoo when four letters picked without replacement from fsffssbsssbo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281*n - 283*n - 624*n**2 - 279*n + 1422*n - 292*n - 285*n.\nAnswer: -624*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m**2 + 9*m - 5. Let q(t) = 3*t**2 - 8*t + 4. What is -7*q(w) - 6*u(w)?\nAnswer: 3*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -985 - 205 = 119*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(-3) + 4\/(-6). Let c = -0.27 + 1.57. Let u = c - 1.4. Put n, u, 3 in ascending order.\nAnswer: n, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45\/4 of a decade?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 3*h**3 - 760*h**4 + 0*h**3 - 2*h**3 + 384*h**4 + 380*h**4 in the form m*h**3 + a*h**4 + i*h**2 + s*h + u and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -291, -371, -449, -519, -575?\n\"Answer: i**3 - 5*i**2 - 72*i - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) 0.3 (c) -2 (d) -3 (e) 0.3388\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (20\/4 - 78)\/(42\/2) and -69\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i - 5. Let r be a(4). Suppose w = r*w, -2*g - 4*w = -1934. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*r - 214*r + 724 + 425 = -141*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.5 - 11. What is the nearest to 0 in 1\/4, 4, l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*h - 267*i = -108*h + 4004, -125 = 5*h + 8*i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 94, 83, 66, 43, 14?\n\"Answer: -3*w**2 - 2*w + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4\/9, 107.1, -132 in descending order.\nAnswer: 107.1, 2, 4\/9, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 10\/398059861?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/8 > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**4 - 45*s**3 + 105*s**2 - 55*s = 0 for s.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - x = 7, x + 4*x = 3*b - 14. Solve -b = -3*u + 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(((i*i\/(i*i\/(i**(4\/5)\/i)*i))\/i)\/i)*i)\/i)\/i*((i\/(i\/i**(-14))*i)\/i)\/i*(i\/(i**2\/i))**(-48) assuming i is positive.\nAnswer: i**(-59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 3*b + 4. Let y be v(-3). Solve a - 4*p = -2*p, -6 = -a - y*p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*d**3*j**3 - 592*d**3 + 270*d**2*j**3 - 2*d*j**3 - 3*d*j**2 - 4*d*j + 3*d + 487*j**3 wrt d?\nAnswer: -60*d*j**3 - 3552*d + 540*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 3. Let w be -1 - -3 - z*-37. Let m = -19 + w. What is the greatest common factor of 20 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 5276629?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from uaqgk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (1 + 2*sqrt(2)))**2 - (sqrt(48)\/sqrt(4) + sqrt(12))\/sqrt(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(-461 + 461 + 29*w)*(-2 + 2 + 4).\nAnswer: -116*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 11*q - 56. Let v(z) = -13*z. Determine d(v(i)).\nAnswer: -143*i - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89*g**3 + 17 - g + 16 - 30 - 223*g**3 - 262*g**3 to the form a*g**2 + t + p*g**3 + m*g and give p.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*t - 203 = 1426, -4*w - 5*t + 2137 = 0. What are the prime factors of w?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 0 - (-9)\/3. Let m = d + -1. Suppose -3*k + 47 = m*v, k = -2*k - v + 50. Solve -2*q + 3 = 2*b + 3*q, 4*b - q = k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11113000 (base 4) to base 14\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 267873, -1, -5 in descending order.\nAnswer: 267873, 7, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 527988 and 276?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + p**2 - p. Suppose 2*o = -2*o. Let m be v(o). Suppose -2*g + 0*c + 3*c + 16 = m, 3*c = -3*g + 54. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2677789?\nAnswer: 17, 67, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**3 - 103 + 103)*(-1 + 3 - 4)*(0*c + c + 0*c) + 0*c**4 + 5*c**4 - 3*c**4.\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-10) + 692\/20. Suppose o = 7*j - 2*j. Suppose -2*i + 4*n = -5*i + 10, j = 3*i + n. Sort -2, 5, i.\nAnswer: -2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1186?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(1 - 1 + 2*l) + 2 - 2 - l + 2*l + 4*l - 4*l + 2*l - 4*l + l + (-4 + 2 + 3)*(-1 + 1 + 2*l) + 2*l - 3*l + 4*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o - 1. Calculate q(-7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 2 (b) -1\/4 (c) -12 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.4 + 16. Sort -18, w, 2 in decreasing order.\nAnswer: 2, w, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 775 and 4805.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.355643789 rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -18*f + 12. Let a be z(3). Let y = 68 - 97. Let w = y - a. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 - 94439*g + 8918724721\/2.\nAnswer: (g - 94439)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -16\/21, 1, -1090?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 2481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64.84 - -66. Let i = m - 1.6. What is i rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4)*1)\/(-1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 43*i**5\/4 - 509*i**2\/2 + 345*i. Differentiate v(d) with respect to d.\nAnswer: 645*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 242 + 51251?\nAnswer: 51533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -510.1 and -0.1.\nAnswer: 51.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ur when two letters picked without replacement from rurdrrruudrdddudrdru.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5)*i)\/i*i*i**(-2\/11)*i*i)**(4\/5)*(i**(-2)\/(i\/(i\/i**0)))\/((i**(-1\/9)*i)\/((i*i\/(i*i**(-2)))\/i)) assuming i is positive.\nAnswer: i**(-1304\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.95 and 4004126.\nAnswer: -7808045.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 2*z + 0*z + (z - 2 + 2)*(2 + 1 - 1))*(0 + 0 - 3)*(-11 + 26 - 13)*(19*z - 9*z + 22*z).\nAnswer: -576*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 17416.\nAnswer: 52248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26762, -53511, -80250, -106973, -133674, -160347, -186986, -213585?\nAnswer: -240138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45307646 to the power of 1\/3, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3292 - -3409. Calculate the remainder when 458 is divided by z.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7*l**3 - 14*l**2 + 7*l - 15. Let v(o) = -10*o**3 + 21*o**2 - 10*o + 22. Let u(r) = 7*h(r) + 5*v(r). Let c be u(7). Sort 2, c, 5 in increasing order.\nAnswer: c, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - o. Let h be u(2). Suppose -2*k - h*k = 488. Let n = k + 128. Calculate the smallest common multiple of n and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - j + 2)*(1 + 3 - 2)*(-2 + 0 + 5)*(21*j - 17*j + 25*j) in the form m*j**2 + a + p*j and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(17)*-2 + 2)*4 - (1 + 1*(0 + sqrt(1700))**2).\nAnswer: -1709 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l + 14. Let p(d) = d + 3. Let q(u) = -26*p(u) + 6*v(u). Calculate q(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*k - k + 220. What is the remainder when 38 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(5) + 0 + 5.\nAnswer: sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(0 - (-190)\/4). Let o = g - -194. Solve 24 = -o*a + p, 0 = a + 3*p - p - 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 345\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(25*d**2 + 17*d**2 - 17*d**2).\nAnswer: 25*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 28 - 9008*p**2 - 225*p - 28 + 9003*p**2 = 0.\nAnswer: -45, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 3*p**2 + p. Let f be n(3). Suppose -5*q + 1 = -b, -q = f*b + 3 - 16. Solve 3*g + 1 = b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 992487 a multiple of 976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**2 - 195*a - 461. Let z be p(51). What is the closest to -0.01 in z, -5, -16, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-14))\/(-1)*(351\/30)\/117.\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 5*l**6\/6 + 4*l**5 + 5*l**4 - 10*l**3\/3 - 25*l**2\/2 - 10*l - 29. Factor a(f).\nAnswer: 5*(f - 1)*(f + 1)**3*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.878086 millilitres?\nAnswer: 0.008878086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -113*g + 910. What is the least common multiple of 736 and s(8)?\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 15*l**2 - l + 11. Let w be u(15). Let v be w\/(-18) - (-58)\/(-18). What are the prime factors of (-3)\/(-1) + v\/(3\/(-154))?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*m = -40 + 61 + 159 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27706, -55309, -82926, -110563, -138226, -165921?\nAnswer: -193654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 144877?\nAnswer: 144877.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*h + 4069, 6*c - c = 2*h + 4063. Calculate the remainder when c is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 37?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.078 (b) -1\/2 (c) 6 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*k - 3297 = 115*k + 3*k for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w = -32*w + 54. Let q = 19 - w. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8)*x*x**(-7))**(1\/18)\/((x\/(x\/x**(-1\/2)))**(-1)*x**(-7)\/(x*x**(-2\/5)*x)) assuming x is positive.\nAnswer: x**(659\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 7*g - 32. Let z = 0.0842 - -0.0188. Let a = z + -0.103. Which is greater: a or g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 2:05 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 5*u - 14. Let z(c) be the first derivative of -c**2 - 2538. Give p(z(y)).\nAnswer: 4*y**2 - 10*y - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 495634 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/4 - 7\/(-28). Solve 3*w - o = -10 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 19. Which is the biggest value? (a) n (b) 3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 3:22 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4 - 95*z**3 - 1490*z**2 - 4660*z - 4200.\nAnswer: 5*(z - 30)*(z + 2)**2*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-36) + 25\/9. Suppose -6*r + 4*r + 80 = 0. Suppose 5*v + d*h = r, -5*h = -v - 17 - 3. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 9*r**4 + 6*r**3 + 6*r**2 - 40*r + 6. Let b(v) = v**3 + v**2 + 1. Let h(k) = 6*b(k) - s(k). Find the second derivative of h(u) wrt u.\nAnswer: -108*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -13, 179983 in descending order.\nAnswer: 179983, -11, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2677724 is divided by 135.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(48)\/sqrt(4) - sqrt(12))\/((-3*sqrt(12))\/sqrt(2)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -263 not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2))**(-29)*(x**(2\/5))**(2\/21)*((x*x**(-1))\/x*x**(-9))\/(x**(-1\/3))**32 assuming x is positive.\nAnswer: x**(6164\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*d - 396 = 92*d. Sort d, 3, 2, 0 in increasing order.\nAnswer: 0, 2, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**3 - 34*i**3 + 12*i**3.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -1. Let c(f) be the second derivative of f**2\/2 - 3*f. Let m(q) = -5*c(q) - 4*r(q). Let s(j) = -3*j + 2. Let v(k) = -3*m(k) + s(k). Determine v(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 2*b**2 + 2*b + 1. Determine a(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.25 - -38.\nAnswer: 36.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35 - -38) + 1 + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75 (base 9) to base 14.\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54055997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2300130201 + -32?\nAnswer: -2300130233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13791168, -55164723, -124120648, -220658943, -344779608, -496482643?\n\"Answer: -13791185*l**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: a3ed5a (base 16) to base 10\nAnswer: 10743130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 12*o**3\/17 - 406*o**2\/17 + 200*o + 34 = 0.\nAnswer: -1\/6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 826838 and 1793564.\nAnswer: 2498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 w when three letters picked without replacement from mwwmje.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2*(-2 - 2). Suppose 3*g - 1 - b = 0. Suppose -16 = -4*l - o, -l - 3*l = -o - 16. Sort -5, l, g in descending order.\nAnswer: l, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**4\/5 - 19317*y**3\/5 + 30852744*y**2\/5 + 782971392*y\/5 + 752099328\/5 = 0?\nAnswer: -24, -1, 3232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1179 in 2\/17, 1\/12, 4, 2\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - -1. Suppose 24 = c*s - 2*s. Let n(j) be the second derivative of 2*j**3\/3 - 5*j**2\/2 + 2*j. Let q(l) = l - 1. What is s*q(a) - n(a)?\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 2\/11, 1\/14, -3, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1097737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11476941 by 546521.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*l**2 - 45*l + 45*l + l**5)*(-111 + 207 + 226) + 2*l**5 - 5*l**5 + l**5.\nAnswer: 320*l**5 + 2576*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*a = 6. Find the third derivative of -a*t**3 - 22*t**2 + 7*t**5 + 2*t**3 + 27*t**2 wrt t.\nAnswer: 420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 386.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -173 - -174. Let z(c) = -4*c**2 + 3 - 3 - 8*c**2 + f. Calculate z(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(105\/(-56)*(-76)\/(-57)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 12348678.\nAnswer: 61743390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-10) + (-4)\/(-10). Let v(k) = 3*k**2 + 6*k + 1. Let j(z) = -5*z + 1. Let x be j(1). Let l be v(x). Solve -3*a - 2*a + l = h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*r + 289 + 61 = 0. Solve -q = -r*f, -5*f + q = -q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.8 + 6.8. What is the nearest to -1\/4 in -4, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64 + 3*x**2 - 5*x**2 - 62 + (-5591*x**2 + 2604*x**2 + 2753*x**2)*(-1 - 2 + 5) to g*x + m*x**2 + c and give m.\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 25 = 2*a - 122, -a = 4. Let o be 6\/f + (-64)\/126. Let u = -1.5 - -1.7. What is the biggest value in -0.4, o, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53261 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) 146 (c) -3\/8 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -296, 4, 7, 3 in decreasing order.\nAnswer: 7, 4, 3, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + c = -608. Calculate the highest common factor of 19 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1025 - -4031?\nAnswer: 3002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 3*y - 40. Let n = 66 - y. Suppose -4*f + 8 = 0, 2*a + n = 6*a - 5*f. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 + 23*l**3 + 16*l**3 + 22*l**3 + 16*l**3 - 78*l**3 - 270*l to m*l + n*l**3 + x*l**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 + 2*x**2 + 4*x + 3. Calculate h(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-171)\/(-2)*(-4)\/(-6). Suppose -2*h - a + 157 = 0. Suppose h = w + 2*j, -3*w - 34 = j - 164. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10480.2057 to the nearest 10.\nAnswer: -10480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -14489366058.\nAnswer: 14489366057.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 811*j**2 - 415*j**2 - 317*j**2)*(3*j**2 - 3*j**2 + 2*j**2) as p*j**2 + y*j + a*j**4 + l + h*j**3 and give a.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 + 1.01. Let w = t + 2. What is the nearest to 2\/3 in -4, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59039 less than 927545?\nAnswer: 986584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, o: 3, a: 2, g: 2}. What is prob of picking 1 g and 2 o?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 5*y - 104. Let c(m) = m**2 + 4*m + 101. Determine -5*c(k) - 4*g(k).\nAnswer: -k**2 - 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2612 divided by -4?\nAnswer: -653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1194773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 - 6*i - 8. Let x be d(6). Suppose -4*y + y - 5*a - x = 0, 0 = y - 4*a - 19. Put -3\/2, 2\/11, y in descending order.\nAnswer: 2\/11, y, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*p - 40*p - 25*p - 600)*(2*p - 2*p + 2*p**3).\nAnswer: -4*p**4 - 1200*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 8*w + o = -39, 0 = w + 2*o - 21. Suppose -7*c - 3 = w. Let a = -1.3 + 0.3. What is the second smallest value in c, -0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/64197 and 64\/609.\nAnswer: 1861713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 6 - 2. Let f be 1*(13 + c)\/3. Let y(v) = -2*v**2 + 10*v - 14. Let r be y(3). Sort r, -4, f in decreasing order.\nAnswer: f, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2 - 7*c + 2. Let y(p) = 4*p**2 + 8*p - 2. What is -5*o(j) - 4*y(j)?\nAnswer: -j**2 + 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7549, -4\/7, -4.\nAnswer: -7549, -4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.98 + -4. Let q = 2.02 + w. Which is the nearest to 2\/7? (a) -1\/10 (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*g + 192*g = 242 - 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aah when three letters picked without replacement from haaahchech.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 5727125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + u + 5, -2*u = 5*w - 12 + 22 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 0*y + y = 0, 5*t + 3*y = 40 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -3. Let q(x) be the third derivative of 1\/150*x**5 + 0 - 2\/15*x**3 + 1\/60*x**4 + d*x**2 + 0*x. Factor q(u).\nAnswer: 2*(u - 1)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = 6*p - 0*p. Calculate the remainder when p is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/375 + -71\/750. Which is bigger: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 3*z - 7*z)*(0 + 164 - 13).\nAnswer: -604*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57*(-172)\/24510)\/(4\/58).\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3 - 14 - 4*t + 6 + t**2 + 8. Calculate s(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*c**2*k**2*l + 8583*c**2*k + 64*c**2*l - 2*c*k**2 + c*k*l wrt l.\nAnswer: -5*c**2*k**2 + 64*c**2 + c*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k = 20. Suppose 0 = -2*b + n + 914, -3*b + 2*n = -218 - 1153. Suppose 3*l + 62 = k*m - 392, 4*l + b = 5*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17091 and 1433534?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -343, -684, -1025?\nAnswer: -1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1236 + -877. Let f = -101 + m. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 378, 1523, 3432, 6105, 9542?\nAnswer: 13743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3724 - 78119\/21. Let o = 13\/3 - h. Factor o*u**4 + 4\/7*u - 2\/7 + 0*u**2 - 4\/7*u**3.\nAnswer: 2*(u - 1)**3*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/4)\/((-12)\/(-80)))\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -328505898*g**2 + 70854106.\nAnswer: -657011796*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 335898?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q - 45 = 5*q. Suppose q*n - 964 = 4*j, 315 = n - 0*j + 5*j. Is n a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f + 6 = 0, -f = 3*x + 9. Let l be x\/(-7) - 2\/(-7). Which is the second smallest value? (a) 0.3 (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -u + 13, -i - 10*u + 7*u = 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 37 = m, -m = -4*m + 2*r + 60. Let u = m + -15. Suppose 0 = u*d - 2*d - 45. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -723*k + 6. Let f(h) = -722*h + 9. What is 2*f(i) - 3*j(i)?\nAnswer: 725*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 171 = 37. What is the greatest common factor of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 5 - 4*g**2 - 5.\nAnswer: -4*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(-2*m**3 + 4*m**3 + 4*m**3)*(3*m + 4*m + 4 - 4*m).\nAnswer: 36*m**4 + 48*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, f: 7, j: 2}. What is prob of sequence bjj?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.21 * 227016.\nAnswer: 47673.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -12 + 22. Solve -o - 2*y - 9 = 0, 2*y - 7 + 22 = g*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-nine fifths of a century?\nAnswer: 14160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0, -1\/13, 0.4, -2\/3, -1667?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 7*r**2 + 4. Let d be p(7). Which is the third smallest value? (a) 0.4 (b) d (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.19.\nAnswer: 0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 6. Let p = 42 + -14. Suppose p = -0*k + 4*k - 5*d, k = -d - 2. Solve k*a - 12 = w*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 1:20 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4756, 9397, 14160, 19045, 24052, 29181, 34432?\n\"Answer: 61*j**2 + 4458*j + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60769 is divided by 175?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -62501*y - 2. Let v be t(-2). Suppose 8*r = 3*r - v. What is r rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 6 + 1)*(4*m + 4*m + m) + (3 + 2*m - 3)*(-2 + 1 - 1))*(3*m**2 - 9*m**2 - 6*m**2).\nAnswer: 264*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -7. Suppose s = -0*q + 2*q - 10. Suppose 0 = -3*w + q*z + 15, 3*z - 2 - 8 = -2*w. Solve -5*v + 4*g = 0, -w*g = -v - 4*g + 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/10 and 131\/5330?\nAnswer: 5330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 180592 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(2 - 2*f**2 - 2)*(2*f - f + f)*(10*f + 26*f - 7*f) + (f - f - 2*f**3)*(4*f + f - 3*f) - 5 + 5 - 2*f**4.\nAnswer: 226*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 7:11 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*r = 3*r - 7463, -4*v + 4*r + 7508 = 0. Suppose -15*p = -6*p - v. What is the greatest common factor of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5273*k**3 + 10080*k**3 - 4812*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -30*j. Let v = -2\/36087 - -4015\/96232. Let c(n) be the third derivative of 0 + 0*n**3 + v*n**4 + 33*n**2 + 0*n. Give a(c(g)).\nAnswer: -30*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from {b: 1, q: 1, x: 1, u: 3, a: 5}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 12, h: 3, m: 1}. What is prob of picking 3 h?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/7 (b) 40 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -29. Suppose -3*z + z + i = -8, w*i = 3*z - 12. Is 161 - (z - 0 - 6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 6*h**2 - 20. Let d(j) = 3*j. Give d(y(f)).\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/12)\/((-475)\/(-75) - 3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*j + 6. Let g be j\/4 - 189\/(-36). Suppose -3*d + 2 = -2*d. Put -4, d, g in descending order.\nAnswer: g, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a. Let l(u) = -u**2 + 2*u + 1. Let x be l(-1). Let y be (-5 - (x - -2))\/(-5 - -4). What is p(y)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252 and 55413906.\nAnswer: 2327384052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5*c + 1 - 6*c)*(-3700*c**2 + 8473*c**2 - 3893*c**2) as u*c**2 + q*c**3 + d + p*c and give q.\nAnswer: -880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -193, -199, -209, -223, -241, -263, -289?\n\"Answer: -2*r**2 - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**3 + 318*q**2 - 3600*q + 10584 = 0.\nAnswer: 6, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 648749377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2597 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 19*n + 62. Let s be k(-15). Solve s*a = d - 6 - 2, 4*d = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0967 * -0.06.\nAnswer: -0.005802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*c - 397789*c**2 - 6*c**3 + 397789*c**2 + 8*c**3.\nAnswer: 2*c**3 + 163*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 246, 1\/3, 1749, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a century in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1 (b) -5 (c) 143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqrqrrqrq. What is prob of picking 1 q and 2 r?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -170, 5, 13, -0.2, 0.059?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 17. Let v = r - -1. Let l = -5.9987 - v. Round l to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 46*c - 53*c. Calculate the remainder when ((-1235)\/(-15) - c)*3 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173024347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**2*r**5 + 33*n**2*r**2 - 3*n**2 - 137164583*r**3 + 66489 wrt r?\nAnswer: 60*n**2*r**2 - 822987498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 5*h + 2725, -27 + 7 = 4*h. Factor 259*g + 13 - 75*g**3 + 39 + 56 + s*g**2 + 209*g - 12.\nAnswer: -3*(g - 8)*(5*g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -550889 or -550899?\nAnswer: -550899","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 49*s - 4 - 13 - 48*s. Let y be c(11). Let b be 1\/((-2)\/3780003) - y\/4. What is b rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 156*v + 81*v - 79*v + 2212 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23997268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6747633737?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11950414, -11950413, -11950412, -11950411?\nAnswer: -11950410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*j + 27 + 79 = -110 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z. Let q(a) = -8 + 0 + 7*a - 121*a**2 + 0 + 528*a**2. Let t be q(3). Let b(n) = 22*n**2 - t + 3676. Calculate g(b(m)).\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 + 3*d**2 + 7*d**2 - 2*d**2 + 7 + 11*d**2 to t*d + u + g*d**2 and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/10403222 and 19\/1368845?\nAnswer: 52016110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-16))\/((-18)\/(-4)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.0095 + 106.0585. Let m = w - 102. What is m rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + 1)\/((-2)\/(-3)). Suppose 0 = -o + p - 0. Calculate the remainder when 8 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 368 + 2328.69673969\nAnswer: 2696.69673969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -150, 17, 2, -63 in descending order.\nAnswer: 17, 2, -63, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160.195 rounded to the nearest ten?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4237 - -4343. Calculate the remainder when 380 is divided by j.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 7 + 11. Suppose -v = -8*i + 26. Calculate the highest common divisor of 3 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = c - 1, 2*c = -c + 3*g + 21. Calculate the smallest common multiple of 4 and 37\/c + 15\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -149*r + 655 wrt r?\nAnswer: -149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -o - 394, -3*p - 790 = 2*o + 2*p. Let l = -204 - o. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 + 64*h**2 + 1046*h - 30944. Determine z(34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 1953684.\nAnswer: 13675788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*f - 89*f - 27 = 0. Suppose -5*b = -f*q + 43, q - 4 = 3*b + 17. Solve 3*r - 15 = q*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 52260.86839 to the nearest one thousand.\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-66) + (0 - 10\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -580*c**3 + 105*c + 1162*c**3 - 579*c**3 + 5.\nAnswer: 3*c**3 + 105*c + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*x - 27 = -l, -52 = -2*l + 4*x. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqqv when four letters picked without replacement from vvqsgq.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2*f = -3*l + 12, -l + f = -2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n. Let v(o) be the second derivative of 5*o**3\/6 + 2*o. Give v(g(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a - 8*a = 200. Put a, -0.07, -1\/4 in increasing order.\nAnswer: a, -1\/4, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 534703 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -77*l + 162. List the prime factors of a(-6).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 5 - 9 = -4*a, 0 = 4*a + 2*r - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 4*p - 155 = -142, 3*p = 4*c + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -249\/4 or -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2058 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44 minus -0.28?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 4*n - 21662, w + 4*n + 6947 = 17772. What is the thousands digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 20.18645 decades?\nAnswer: 2.018645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l + 5 - 5)*(4 + l**2 - 4) + (-15*l + 15*l + 5*l**2)*(-15*l + 5*l + 5*l) as g + r*l + v*l**3 + a*l**2 and give v.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 40*w - 45*w - 55, -5*i = 5*w + 45. Suppose a = 0, -4*k + 4*a + 1 + 27 = 0. Solve -4 = -3*u + k*u - 3*c, u - 2*c = -i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6309, 12698, 19087, 25476, 31865?\n\"Answer: 6389*w - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24 and -2 - -1 - 22\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = f + 10, 27*f + 3*d - 17 = 31*f. Let c(l) = 413*l + 62. Let w be c(f). What is w rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1499, -5 in increasing order.\nAnswer: -5, -1, 1499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a + 72 + 15 = 0. Let z be 1\/3*(4 + -4). Sort 4, a, z in descending order.\nAnswer: 4, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 192*p + 10244. What is the thousands digit of n(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-3*(sqrt(2057) - sqrt(2057)*-1))**2 + (sqrt(2057) - -2*sqrt(2057)*2)).\nAnswer: -222156 - 165*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/145)\/((-6260)\/(-1361550))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8161581 + 7190*i + 8161581)*(2 + 5 - 5).\nAnswer: 14380*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**5 - 6*m**4 + 30*m**3 - 34*m**2 + 12*m.\nAnswer: -2*m*(m - 1)**3*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.622399 and 0.4.\nAnswer: 5.4489596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5374 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: What is 558785323 to the power of 1\/2, to the nearest integer?\nAnswer: 23639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/11 + 62*b\/11.\nAnswer: 2*b*(b + 31)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5 + 3. Factor n*i**2 + 2*i**3 + 46*i**5 + i**3 - 47*i**5.\nAnswer: -i**2*(i - 2)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*sqrt(72) + sqrt(2)*-2 + -3.\nAnswer: -4 + 34*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t - 20. Let a(b) = b + 10. Let o(z) = 6*z + 49. Let i be o(-6). Determine i*a(k) + 6*j(k).\nAnswer: k + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 100*t**2 + 63*t + 240. Is c(-99) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*q - 362*q = 139*q - 5469 + 29409 for q.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + 3*(1 + sqrt(192) + sqrt(192) - sqrt(15)\/(sqrt(10)\/sqrt(2))).\nAnswer: 2 + 45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*y = -75. Suppose -1 + y = 3*r - 2*n, 2 = r + 2*n. Suppose -q + 5*d = 0, -4*q - 5*d + d = -24. Solve -q*u - r = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77926054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3\/3 + 2*i**2\/3 + 5*i\/3 - 2\/3.\nAnswer: -(i - 1)*(i + 1)*(5*i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u\/(u\/u**1))\/u*((u\/u**(-1\/9))\/u)\/u*u*u*u*u*u*u**6*u**3 assuming u is positive.\nAnswer: u**(127\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788151249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 + 57*o**2 - 285*o + 231.\nAnswer: -3*(o - 11)*(o - 7)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1*(sqrt(684) + -3 + 2) - (-3*(1 + sqrt(684)) + -5)))**2.\nAnswer: 264*sqrt(19) + 2857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -1\/3*f**3 - 1\/3*f**4 + 0 + 0*f**2 - 4*f. Find the second derivative of r(y) wrt y.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 13 = 5*d. Suppose y = 3 - 1. What is the lowest common multiple of y and (180\/40)\/(6\/d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2899?\nAnswer: 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139\/1529*2\/3*3.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1989 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 12*a**2 + 13*a - 7. Calculate n(-11).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 2. Let b = 1.88 + -1.98. Let u = -1203 + 1206. What is the third smallest value in u, r, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/(-26) - 56\/364\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkmkkkm. Give prob of sequence kkk.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -1)\/(-1) + 0. Suppose 4*p - 10 = -5*d, 2*p + 4*d - 3 + 1 = 0. Let t = p - -7. Solve -t = -m*x + 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 4*i**2 - 127 + 13\/3*i**3 + 292*i. Differentiate l(w) with respect to w.\nAnswer: 26*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 778495 or 778493?\nAnswer: 778493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77963 and 3914331?\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times 2637.46\nAnswer: 2373.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x**2 + 2 - 12 - 10 - 13*x**2.\nAnswer: x**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -1006306.\nAnswer: -1\/503153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -206 - 9*v**2 + 466 - 260. Let j(c) = -240*c**2 + 2*c. What is j(s(l))?\nAnswer: -19440*l**4 - 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*p - 38*p - 54*p**3)*(0*p + 0*p + p**2) + (-10 + 6*p**3 + 10)*(2 - 2 - p**2).\nAnswer: -60*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**4 - 4*u**4 - 2*u**4 + (-2*u**2 - 2*u + 2*u)*(u**2 - u**2 - u**2) + (2*u**3 + 0*u + 0*u)*(1 - 1 - 2*u) + 2*u**4 - 4*u**4 + 3*u**4.\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 + 2*l**2 + 2*l**2 - 22 to the form o*l**2 + k*l + z and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121200 (base 4) to base 14.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 minus 56680113?\nAnswer: -56680105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*2)**2 + -3.\nAnswer: 1581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 9*x**2 + 9*x - 5. Let t be c(8). Find the third derivative of -b**3 + 0*b**t - 5*b**2 + 4*b**3 wrt b.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 bigger than 332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2*sqrt(1100))**2 + -2)*-3*4.\nAnswer: -211176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 4\/3)*459\/(-18). Do 1 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 108*s**2 + 4\/5*s**4 - 220*s - 84\/5*s**3.\nAnswer: 4*s*(s - 11)*(s - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -77001480 by -9625185.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 6*i = 34 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - -265)*(-2)\/(-4). Suppose -3*g + 3*p + 259 = 8*p, 2*g - k = 4*p. List the prime factors of g.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c + 132 + 12*c - 6*c.\nAnswer: -c + 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 12 = c. What is the tens digit of 2\/c - (-115)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/(4\/18*(-1845)\/410)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.68732 to two decimal places.\nAnswer: -8.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 3*30\/6. Suppose -j*c + 16*c = 135. Calculate the smallest common multiple of 2 and c.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (10 - 0 - 3) - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*w + 1761 = 1170 - 1317 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 - 16 - 75 = -72*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 3*y + 36. Calculate the remainder when 62 is divided by i(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.57751 decades in years?\nAnswer: 465.7751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000920641 to seven dps.\nAnswer: -0.0000921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335 = 2*u + 331. Determine t so that -2 - 602*t**2 + 303*t**2 + 303*t**u - 2*t**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**2 + 0*t + 0*t - 7*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 2*g + g)*(-g**4 + 2*g**4 + 2*g**4) + 10*g**3 + 3*g**2 + 2*g**5 - 10*g**3.\nAnswer: 11*g**5 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**3 + 3*n**2 - 4*n + 2. Let g be w(2). Let p = g + -38. Solve 2*i + p*i + 4 = 3*v, 2 = -i - 3*v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - i + 42*i**4 + 8*i**3 - 6 + 4 - 51*i**4 + 0 + 2*i**2 to the form q*i**3 + r*i**4 + z*i + d*i**2 + y and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14939579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/3 (b) 0.5 (c) 5\/2 (d) 1\/5009 (e) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 83*m**2 + 250. What is the remainder when c(-83) is divided by 52?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 1. Let x(c) = c - 15. Let u be x(18). Let l be w(u). Factor -54*f - 6*f**l - 243 - 8*f**2 + 11*f**2.\nAnswer: -3*(f + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9600\/224)\/((-18)\/(-84)). Let o(y) = 6*y**3 + y**2 - y - 1. Let b be o(-1). Let v be ((-1)\/3)\/(b\/375). What is the highest common divisor of m and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 2. Suppose 4*o - 4 = c + 5, -2 = -o. Let a(p) = 27*p**2 + 2*p - 1. Let k(q) = c*a(q) + 6*s(q). What is the second derivative of k(b) wrt b?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22902 divided by 72.\nAnswer: -3817\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -4 (c) -0.5 (d) -8\/5 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 57 = 18*g, 0 = -q - 6 + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 496295.5 millilitres to litres.\nAnswer: 496.2955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1802446, 3604889, 5407332, 7209775?\n\"Answer: 1802443*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 8*h = -6. Let k = -2848 + 190812\/67. Sort h, 0, k in decreasing order.\nAnswer: 0, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 2*z - 1663 + 380, 3*z - 851 = -2*k. Suppose 0 = -3*h + k + 95. Suppose -7*q + 445 = -2*q + 5*x, 2*q - h = -3*x. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100888417?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, w: 2}. Give prob of sequence wuu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*sqrt(104)*-3 + sqrt(104))\/sqrt(8)*6.\nAnswer: -66*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 63*c**2\/2 + 93*c - 9\/2 = 0.\nAnswer: -3, 1\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(128)\/sqrt(128))\/(sqrt(64)\/((sqrt(80) - (sqrt(80) + (sqrt(80) - (sqrt(80)*-1 + sqrt(80)) - sqrt(80)) + sqrt(80) + sqrt(80)))\/sqrt(10)))*-4)**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.81705 - 386.89385. Let m = l - -0.0768. Let f = -362.3 - m. What is f rounded to 0 decimal places?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -12 + 6 + -1 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*w = -s + 3, -27 = -5*s + w. Let d be s\/(-3) + 12\/3. Let i = -0.67 + 0.27. What is the nearest to -0.1 in d, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 0*x**2 + 3*x**2)*(x - x + 43*x**2 - 2*x**2 + 1 - 1 + (2*x**2 - 3 + 3)*(2 - 6 + 2)).\nAnswer: -37*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1422 = -u - 4*p - 1416, 0 = -6*u + p + 11 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23584.7 + -23585. Put 2\/17, m, 2\/9, -2\/207 in ascending order.\nAnswer: m, -2\/207, 2\/17, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107944\/(-7729) - 6\/177?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*u - 3. Factor -2*a + 3*a**2 + u + 0*a - 2.\nAnswer: (a - 1)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 286 + 9. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-68)\/18 - (-16)\/(-72). Let d be (0 - 4 - h)*(-5 - -6). Solve -4*p + d - 4 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620392.\nAnswer: 2, 77549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibbpapaaiipb. Give prob of picking 1 i and 1 a.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1693116 and 752496?\nAnswer: 6772464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(-1 - (-2)\/6). Suppose -j = s*j. What is the first derivative of 16 - q**4 + 14 - 22 + j*q**4 wrt q?\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 + -71. Let u = 3 - 0. Let v be 22\/(-10) + 6\/u. Which is the third smallest value? (a) 4 (b) v (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 97 - 78. Find the third derivative of -b*n**4 - 55*n**2 - 34*n**4 + 4*n**4 wrt n.\nAnswer: -1176*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**16)**(-2\/59)\/(((f\/(f*(f*(f*f*f\/f**(3\/7))\/f)\/f*f))\/f*f)\/((f*f**(-21)*f)\/f)) assuming f is positive.\nAnswer: f**(-7422\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 219484582?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188 - 171 - 172 + 61*x + 711 - 178.\nAnswer: 61*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9338128 kilograms in micrograms?\nAnswer: 933812800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 + l - 1. Let y be j(2). Suppose -z - 2*z = 12. Let v be (-6)\/z - (-205)\/2. What is the highest common factor of y and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + -6 + 19 + 1878\/6. Let t(s) = 21*s**2 + 3*s + 2. Let h be t(-1). What is the highest common factor of h and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 30 = 5*k. Let s(i) = -5*i - 7. Let w(v) = 3*v + 4. Let d be (-30 - 20)\/(-10) + (-1 - -4) + -4. Give d*s(c) + k*w(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 3. Let z(h) = h + 1. Let l(c) = -m(c) + 3*z(c). Suppose 4*o + 2 = 10. Let x(q) = -3*q + 3*q - 11*q**o + 0*q. Determine l(x(i)).\nAnswer: -22*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 8:19 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*(-55)\/2 + 3. Suppose 0*h - w = -2*h. Suppose 0*c = 4*c - h. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -46.2. Which is smaller: 8 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 - 4*a**2 + 27558*a - 27558*a.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - ((-2)\/3)\/((-3)\/(-27)). Solve 0 = -f + 2*n - 2, -o = 4*f + 3*n - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -155, -298, -537, -872, -1303?\n\"Answer: -48*t**2 + t - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*a + 10210 = -766. Let x = -2 - -5. Calculate the least common multiple of x and a.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 24 = -0*n + w, -3*w - 12 = -3*n. Solve -n*v = 3*o - 2*v, -3*o + 2*v = -25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15185 plus -362521?\nAnswer: -347336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 65*o - 851. Determine x(14).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/8 - 3771133*w**2\/8 - 7542242*w - 30168936.\nAnswer: -(w + 8)**2*(w + 3771117)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -29eb (base 15) to base 7\nAnswer: -35141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmqtjqjqitqj. What is prob of picking 1 t, 1 i, and 2 q?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-3) + (-173)\/3. Let o = i - -58. Let q be (-4)\/(-6)*12\/44. What is the nearest to o in 2, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from ooooosooooooooo?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 11:30 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5712459 and 252399?\nAnswer: 5151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39620 - -39620. Sort -8, z, -25, -2 in descending order.\nAnswer: z, -2, -8, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 152207091 or 152207093?\nAnswer: 152207091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1313816\/89 - 14762. What is the closest to 6 in -3, u, -0.04?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b + a099?\nAnswer: a07c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 15 + (5 + -3 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*3.349915.\nAnswer: -0.10049745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 10*p + 9. What is j(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(96)*4)*3.\nAnswer: 3*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - m - 101. Suppose 5*d + 26 = m. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4223914 to the power of 1\/2, to the nearest integer?\nAnswer: 2055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)*y**(-2\/15))**(-1\/7) assuming y is positive.\nAnswer: y**(32\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21413 (base 5) to base 12.\nAnswer: a37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 2:55 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -44*j**3 + 2*j**2 + 2*j + 1. Let s be o(-1). Let x = s - 22. Calculate the remainder when 45 is divided by x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 4*k + 27 - 3, -2*k = 4*g - 30. Suppose h + i - 5 = 2*h, -g = h - 2*i. What is the tens digit of (-1 + 3*h)*(-462)\/21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -28 + 3 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 1, -6, 17, -1, -24, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3190741 - -54086?\nAnswer: 3244827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*v - 95 = l, v - 49 = l. Let z = -32 - l. Solve 0*t + 7 = t + 3*b, 0 = -5*b + z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 199*h**3 - h + 56*h**3 + 52*h**3 - 42*h**3 to the form q*h**3 + o*h + b*h**2 + x and give q.\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2*-2)\/((-15)\/(-30))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 1. Let a(y) = -2*y - 2. Suppose 6 - 2 = t. Let r(w) = t*a(w) - 7*s(w). Suppose 0 = 2*n - 3*g + 16, 4*n = -0*n + 4*g - 28. Determine r(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-8)\/(-6)*5\/(-60)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -859744 divided by 107468.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 3*a = 2*j - 57, 8*a + 184 = j + 331 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -364, -2357, -4362, -6385, -8432?\nAnswer: -10509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -94*j - 426. Calculate p(-4).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8299*b - 67510 + 2*b**3 + 67510 - 126*b**4 wrt b.\nAnswer: -1512*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-701)\/(-35050)*5\/(-1).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/21*-21 + 60\/(-36)*15?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (183 - 181)\/((-10)\/4)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12555 + 8*d**3 + 12555.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + (-1 - 2))*-2. Let m = -32 + 31.73. Let i = 5.27 + m. What is the closest to f in i, 0, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 8 + (-15 - -3) + 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**4\/12 + o**2 + o. Let t(h) = 3*h + 1. Let q = -2 + 1. Let a be t(q). Determine f(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -108001, -108076, -108209, -108394, -108625?\n\"Answer: g**3 - 35*g**2 + 23*g - 107990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/5 + 10*b**4 + 334*b**3\/5 + 238*b**2\/5 - 336*b\/5 - 288\/5 = 0. What is b?\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 8 = -5*h. Calculate the smallest common multiple of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 486*n.\nAnswer: 3*n*(n + 162)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z + 13. Let t(g) = 19*g - 79. Let q(d) = 6*o(d) + t(d). Let v(y) = 11*y - 5. Give 2*q(n) - v(n).\nAnswer: -9*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(-2)*(-20)\/30. Let w(y) be the third derivative of 0 + 2*y**2 + 1\/6*y**c + 0*y - 1\/12*y**4. What is w(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0*j**2 - 3 + 6*j**2 - 3 in the form h*j + t*j**2 + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 4, -1, -302?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 7*s - 12. Is r(-8) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c. Let b(j) = 1268*j**2. Calculate b(x(t)).\nAnswer: 11412*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.062 and -0.03.\nAnswer: 0.00186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.69 - -0.11. Let h = 1.1 - f. Let d = 26 + -22. What is the closest to h in d, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/53960 and 107\/3210620.\nAnswer: 6421240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - -1)*(-2)\/(-2). Suppose 0 = 3*l + 15, -d = d - 2*l - 14. Solve -5*v - 17 = s*q, 0*v - v = 2*q + d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1641002 (base 8) to base 15.\nAnswer: 95e00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 4. Suppose -5*q + 0*q = 0. Let d = q - -2. Solve -d*c + 9 = -t*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 5 - 9*f**2 + 10*f**2 - 2 - 6.\nAnswer: f**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 - 12a?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*n**3 - 105220216*n**2 - 76883973413632*n + 17085332621312.\nAnswer: -4*(n + 1461392)**2*(9*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -119 - -189. Let x = f + -66. Solve -4*v - 3*z + 2*z + 4 = 0, -x*v + z + 4 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(117) + 3 - sqrt(117) - sqrt(117) - sqrt(117) - (sqrt(117)*1*6)**2)*-6.\nAnswer: 36*sqrt(13) + 25266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -1 (c) -172556\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 55 = -5*p - 11*p. Suppose 2*o + 5 = 15. Solve p*w + 0*w - 24 = o*l, 0 = -5*w - l + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 3 - 5 + 15*v + (-v + 4*v - 2*v)*(-5 + 2 + 0).\nAnswer: 12*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**4\/6 - 2*y**3\/3 - 4*y**2. Let i be d(-6). List the prime factors of -8*(0 - i\/8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.7. Let l = 0.63 - 0.27. Let h = l + -0.46. Sort -0.3, h, r in decreasing order.\nAnswer: r, h, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -694 and 3209.\nAnswer: -2227046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 13, p: 3}.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -970*-4346.7\nAnswer: 4216299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -500.9 + 431. Let s = y + 65. What is s rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 + -21. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(1\/4))\/m)**(18\/11))**(-8)*(m*m**(-1\/3))**(-42)\/(m\/(m\/(m**(5\/6)*m))*m**5) assuming m is positive.\nAnswer: m**(-2083\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.1096 (c) 4 (d) 5208\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5846976 divided by 324832?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -927.402973 to one dp.\nAnswer: -927.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 10. Suppose 3*p + 4*r + t = 0, p + p + r = -4. Let h be 1 + (22\/6)\/(-9 + 12). Which is greater: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 26\/3*m**3 + 0*m + 17\/2*m**2 - 1. What is the second derivative of y(u) wrt u?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -5\/4, 2\/125, -2\/31 in increasing order.\nAnswer: -26, -5\/4, -2\/31, 2\/125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 2012?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**2. Let d = -23 + 28. Suppose -100 = -d*x - 5. Let c(r) = -14*r - 9*r + x*r. Calculate g(c(u)).\nAnswer: -64*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3212 + 3441. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + 69. Solve j*v + 6 + 9 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/(9\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13192 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*k**3 - 53*k**3 + 12*k**2 + 107*k**3 - 12*k**2 + 30*k to the form m*k**3 + x*k**2 + q*k + z and give q.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + 2*w - w)*(-188 + 5*w + 188) as j*w**2 + b + u*w and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kffxfkkxxixxxfa. What is prob of sequence xkk?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, 129, 158, -95, -792, -2095?\nAnswer: -4166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -49*g**4\/4 + g**2 + 2*g - 76. Let l(r) = r**2. Calculate k(l(y)).\nAnswer: -147*y**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-12) + (358\/(-40) - -9)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 10) to base 7\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - sqrt(108)*3)\/(sqrt(6) + (sqrt(6) - (sqrt(486) - sqrt(486)*1 - sqrt(486)))) + sqrt(20)\/(5*sqrt(50)\/sqrt(5) - sqrt(10) - sqrt(10))*5)*-1.\nAnswer: -31*sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -12*u + 13. Suppose 5*o = 2*g + g + 35, 2*o + 4*g = -12. Suppose 5*z - 4*z - 37 = o*d, 3*d = 4*z - 31. Is 11 a factor of n(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354*h**3 - 884*h**3 - 6075112914*h**2 + h + 6075112914*h**2 + 1 - 1.\nAnswer: -530*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 45?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*p - 5*p. Suppose 0 = -y - 5*u + 31, 5*y + p*u = 47 - 2. Let g(l) = l**3 - 6*l**2 - l - 1. Calculate g(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*c**2 + 8*c**3 + 9*c**2 + (0 + 0 + 2)*(c**3 + 3*c - 3*c).\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7588 + -7593. Which is the biggest value? (a) 2\/3 (b) 15\/7 (c) 5 (d) x (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22107892 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 + 20364 - 20364.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46964791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxddndfed. What is prob of sequence ef?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*q + 7*q + 62*q)*(-2 + 2 - 2)*(-14*q**2 + 19*q**2 + 43*q**2).\nAnswer: -11040*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*d**3 - 3339*d**2 - 634487*d + 2590860.\nAnswer: (d - 4)*(d + 145)*(8*d - 4467)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87*(-13)\/(-34307)*2\/3?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-6)\/162 + (-2224)\/72\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2145*d**3 + 2*d**2 - 10*d + 6. What is the thousands digit of w(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1413, -2815, -4219, -5625, -7033, -8443?\n\"Answer: -k**2 - 1399*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2711677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 89155.19 millimeters in centimeters?\nAnswer: 8915.519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, i: 5, g: 4}. Give prob of picking 1 h, 1 g, and 2 i.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -5.64 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 9:56 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 10 = 5*q, 227*q - 6*f = 226*q - 17 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/30 and -1\/630340?\nAnswer: 1891020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(87\/(-9) - (25 - 33)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6569467 (b) -1 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + n + 2207 + 1567 = 0, 5*m - 9487 = -4*n. List the prime factors of m.\nAnswer: 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**5 - 15*z**4 - 120*z**3 + 140*z**2 + 240*z = 0.\nAnswer: -4, -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10899978.92965695 + -11157213.476659. Let v = 257240.647 + m. Let j = 6.1 - v. What is j rounded to seven dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1950 by -130.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3926029698 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7828*u**2 + 62*u - 40. Let v be g(20). Round v to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 870223 or 870222?\nAnswer: 870222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22493 * 0.106.\nAnswer: -2384.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 9*x**2 + 9*x + 9. Let q be z(10). Let o be q*(0 + 1) + 6\/(-2). Which is the nearest to 0.1? (a) 7 (b) o (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4358 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 5*o - 2, 2*o = 3*u - 2*o + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8673395\/22 at least as big as 394244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 135791 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(9\/5)*m*((((m\/(m**(-6)*m))\/m)\/m*m*m*m)\/m)\/m assuming m is positive.\nAnswer: m**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1462.125 - 1464. Round f to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 5, 3, 1\/6, 3\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o. Let d(k) = 785*k**2 - 754. Determine d(q(s)).\nAnswer: 3140*s**2 - 754","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18670, 37346, 56026, 74710?\n\"Answer: 2*o**2 + 18670*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2.1, 1\/4, -0.1, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 6*q - 35 = 0, j - 57*q + 76*q + 12 = 207 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 a factor of 3024403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -20 - 5. Find the second derivative of -r - 1 - t*r**3 + 1 wrt r.\nAnswer: -30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2425427.627 and -169?\nAnswer: 2425258.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12282393727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a + 3*a)*(2379*a**4 + 615*a**4 - 580*a**4 - 2).\nAnswer: 7242*a**5 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 x when three letters picked without replacement from {w: 3, j: 1, n: 3, x: 2, o: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = c - 4*p - 0*p, 3*p = 3. Let z(m) = m**3 - 18*m**2 + 2*m + 42. Let y be z(c). Suppose -3*t = 5*x - y, 0*x = -x - 3*t + 6. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, t: 4, x: 6, r: 2, a: 4, g: 2}. What is prob of picking 1 g, 2 x, and 1 r?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 4:05 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - y = 2*z, -2*y + 2 = 0. Which is the nearest to z? (a) -1\/3 (b) 0 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*g - 950, 2510 + 1251 = 4*b - 3*g. Calculate the greatest common factor of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 3:02 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/18*(-34)\/4\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15261192 by 7309.\nAnswer: -2088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -21 (b) 1 (c) -4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 17*j**3 - 11*j**2 + 2*j + 14. Let q(c) = 5*c**3 - 4*c**2 + c + 4. Let o(t) = 7*q(t) - 2*x(t). Give o(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132089 is divided by 44.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -5 (b) 2 (c) -2\/23 (d) 4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 2705 (c) 5 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 5, -0.5, -7, 2\/11?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6077.1 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3958 = -706*a + 12986 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*(1 + 14\/(-10)). Suppose -66*n = -89*n + 92. Suppose -o + 29 - 72 = -4*g, 2*o - 46 = -n*g. Does g = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*d + 162 = 167, 0 = -3*i + 15*d - 18 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*o*r**3 - 2*o*r + 34*r**3 - 47*r**2 wrt r?\nAnswer: -36*o + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2167 times -4?\nAnswer: 8668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 + -3 + 3 + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69803 to the power of 1\/2, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 11*k = 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8174.\nAnswer: 2, 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -1. Let a = -83 + 77. Let d = w - a. Sort 3\/8, -0.04, d in decreasing order.\nAnswer: d, 3\/8, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -155 - -107. Calculate the common denominator of y and 376\/(-40)*(-10)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 6*l**2 + 9*l + 10. Let s be g(-7). What is the remainder when (76 - -4) + s + 0 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 27*f**2 + 29*f + 14. Let b(w) = 27*w**2 + 24*w + 12. Determine 5*b(d) - 4*g(d).\nAnswer: 27*d**2 + 4*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3549 and 565812?\nAnswer: 3960684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5387, -4\/15, 4, 0.3, 0.2?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k. Suppose 40 = 17*v - 13*v. Let g(q) = -10*q + v*q - 26*q. Determine r(g(y)).\nAnswer: 26*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16359 * -4258.\nAnswer: -69656622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -830.93 + -2.07. Let b = -825 - z. Sort 4, b, -5, -1\/6.\nAnswer: -5, -1\/6, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17431.\nAnswer: 17431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 411 - 413. Which is the closest to -3? (a) m (b) -12 (c) -1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -542614.54318.\nAnswer: -542614.94318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*o - 303*o = 705 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3713039?\nAnswer: 11, 227, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -3632\nAnswer: 5\/3632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3597*b + 17492*b + 13450*b + 20915*b.\nAnswer: 55454*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 + -5 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.385, -0.1, -7, -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8088850 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -107*q**3 - 2*q**2 - 9*q - 9. Let s be d(-2). Let a = -210 + s. Is a a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -745*q**2 + 0 + 748*q**2 + 0.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 516 and 1944.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4509740401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42792750 and 266.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/((-132)\/28))\/(12\/36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 5*k + 191 = -4*w, -k + 265 = 5*w. Suppose 6*c - w = 1530. Let u = -151 + c. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 4*d**3 + 0*d**3)*(-2 + 2 + d)*(5 - 6 + 10).\nAnswer: 18*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 1021022200012202?\nAnswer: -1021022200012210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -660 - -958. Suppose 115 = -3*a + y. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.83981 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 1573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3, 5, -0.1 in decreasing order.\nAnswer: 5, 3, 0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 96 = 2*y. Let o be 5*y\/(-20) - 3. Solve -t + o*t - 8 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -985*f + 670*f - 10710 = 0 for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 70\/132*-2 + 1. Suppose -5*b - 4*t - 16 = 0, 50 = -4*b + t + 54. Is b at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.2, 0, -25\/6, -30, 219 in decreasing order.\nAnswer: 219, 0.3, 0.2, 0, -25\/6, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0129755806 rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-7)\/s*s*s**(2\/7))\/((s*s**2\/s*s)\/(s*s**(-5)*s)))\/((s**1)**(2\/87)\/(s**0*s)**(4\/3)) assuming s is positive.\nAnswer: s**(-2315\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001646 to 6 decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**3\/3 + 11*k**2\/2 - 13*k + 3. Let i be c(9). Let r = i + -4. Solve -m - r - 2 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 1.06573?\nAnswer: 4.26292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*w + 3*w - 3570 = 0 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o - 11 + 2 + 9. Let n(u) = 15*u. Let r(j) = 8*j. Let w(m) = 3*n(m) - 5*r(m). Determine s(w(v)).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*c**2 + 32*c + 6963.\nAnswer: 16*c + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 70, 121, 174, 229, 286?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.043095 * 63\nAnswer: 2.714985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69241\/15 - -4610. Let g = -22\/5 - o. Factor -1\/3*m**3 + 4\/3*m**2 - g*m + 2\/3.\nAnswer: -(m - 2)*(m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -3*m - 2*o, -3*m - 3 = 3*o + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x - 1. Let o be a(-2). Suppose o*n = 2*n + 4. Let d = 0 + n. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/(-3*28\/63).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * 21.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15806, -15801, -15806, -15827, -15870?\n\"Answer: -t**3 + t**2 + 9*t - 15815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 4265 = -4329 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24017 and 11242.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10935 - 5770 + 0*u + 4*u - 5*u.\nAnswer: -u - 16705","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6583.19 + 6549. What is h rounded to the nearest integer?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, -2, 7, 32, 79, 154, 263, 412?\n\"Answer: b**3 - b**2 - 5*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1955 - 0.19564768. Round z to 6 decimal places.\nAnswer: -0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/113610 and -143\/378.\nAnswer: 1022490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 68.003.\nAnswer: -34.0015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -221\/2 - -105. Let m = 4 + g. Is -0.1 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2315 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 299.44 >= -0.063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -262 * 1.25\nAnswer: -327.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 191.2 - 191. What is the nearest to -1\/4 in o, -5, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**2\/3 - 384*p + 2296\/3 = 0.\nAnswer: 2, 574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 116144237117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjm when three letters picked without replacement from {m: 14, j: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*n - 46*n - 8 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2*10)\/(-5) + 16. Suppose 0 = l - 4*g - 23, -l - g = -6*g - k. Suppose -5*v - 5*y = l, 0*v - 8 = 4*v - y. Put 8, -2, v in increasing order.\nAnswer: v, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2954, 2942, 2916, 2870, 2798, 2694?\nAnswer: 2552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -529221 or -529222?\nAnswer: -529221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*n. Suppose 0 = c - 5*w - 32, n*w - 24 = -2*c + 2*w. Let k = c - 4. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268922371?\nAnswer: 17, 19, 23, 53, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559 is divided by 46?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7583680 divided by -5\nAnswer: 1516736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w - 15*w = 72. Let u = 0.6 + -0.9. Which is the smallest value? (a) u (b) -3\/8 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijiiiiiijiiiiiiiii. Give prob of picking 2 i.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7141446 and 0.01.\nAnswer: -71414.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 119843385*l**6 - 110361793*l**2 wrt l.\nAnswer: 14381206200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 162?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < -39\/103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 - -162. What is the greatest common factor of 21 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-2))\/(7 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 6:22 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + r**2 + 2. Let g = -9 - -11. What is c(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 389? (a) -29 (b) -2 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(21)*1 + sqrt(21))\/sqrt(3)*5.\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqxx when four letters picked without replacement from qqqqxqqqqxqqqxqxqxq?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 - 16*m**3 - 8*m**3 + 2*m**3 - 7*m**3 - m. Let z be q(-1). Let n = z - -31. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r - 47*r = 28 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 + -13 + 7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2 + 2 - 17*o + 15*o. Suppose -y - 29 = -4*x + 2*y, -3*x + 24 = -3*y. Let k(b) be the second derivative of -b**3\/2 - 4*b. Determine x*f(i) - 4*k(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 0.2, -0.037951, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h**3*w - 2*h**3*z - 541*h**3 - h**2*w*z + w*z + 833*w wrt w?\nAnswer: 2*h**3 - h**2*z + z + 833","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 16*r - 33*r = -988. Let y(t) = 2*t**3 - 5*t**2 - 2*t + 2. Let w be y(5). Calculate the highest common factor of r and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 810.\nAnswer: 1\/405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7737 + 7762. Solve -30*l = -k - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 16*y + 23. Suppose -v = 5, -2*p + 3*p = -v + 31. What is the lowest common multiple of p and s(8)?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -151, -473, -795, -1117, -1439?\n\"Answer: -322*s + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, -595\/8, -22?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 1298596.14.\nAnswer: 1298609.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 733 - 202544?\nAnswer: -201911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68687.93 tonnes to grams.\nAnswer: 68687930000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -333 divided by 37?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13418 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 275562\/4374*1*6\/7.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -40*p - 16. Let r be j(7). Let v = -149 - r. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -94655, -190147, -285639?\n\"Answer: -95492*n + 837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggddggdg. What is prob of sequence gddd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24752 and 83903092.\nAnswer: 335612368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/3, -4, 2\/13, -0.5 in decreasing order.\nAnswer: 2\/13, -0.5, -11\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**14))**(1\/36)*p\/(p**(-3\/7)\/p)*((p**(-3\/4)\/p)\/p)\/p assuming p is positive.\nAnswer: p**(-431\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5706\/295 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by -19*1*(-1 - 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -27*r**8\/28 - 186*r**7\/35 - 71*r**6\/6 - 67*r**5\/5 - 8*r**4 - 8*r**3\/3 + 3*r**2. Suppose k(m) = 0. Calculate m.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3324130 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -105, -4, 3, 16, -6, -9 in decreasing order.\nAnswer: 16, 3, 2, -4, -6, -9, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*m + 19. Let r = 1 - -1. Suppose c = m - r. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43*0.02177305\nAnswer: 0.93624115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 20*g**2 + 21*g + 3. Let l be s(-21). Suppose u = 2*n - 6, -l*u = -11 + 5. Suppose 0 = -0*a + n*a - 32. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*x - x. Let z(y) be the first derivative of -1\/14*y**x + 2\/21*y**3 + 1 + 0*y + 0*y**2. Solve z(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-657)*324\/(-216).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1555965 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 11. Let d(t) = -2 - 6*t + 3 - r*t. What is the tens digit of d(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 2*m - 3. Let x be k(-3). Let c(y) = -y**2 + 5*y - 2. Let n be c(3). Suppose x = -n*d - 3 + 11. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, 2335, 2, -3 in decreasing order.\nAnswer: 2335, 2, 1\/12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -38*g**2 + 6*g + 5. Let w(f) = 37*f**2 - 5*f - 4. Let q(j) = 5*h(j) + 6*w(j). Calculate the remainder when q(-1) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 11. Let j be 4\/(4\/(-9))*-1. Let y be z(j). Suppose 2*q + 5*p = 30, p - 6 = y*q - 3*p. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -30741, 1\/6, -1 in decreasing order.\nAnswer: 1\/6, -1, -5, -30741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h + 4*y = 164, 0 = 4*h - 2*y - 134. Let q = 126311 - 126308. Calculate the greatest common factor of q and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 + -8)*(-8274)\/15?\nAnswer: 2, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + -5 + 12\/2. Solve a*k + 6 = -2*l - 5, -4 = 4*l + 4*k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 3\/10*g**2 + 3 - 3\/20*g**4 + 6\/5*g - 3\/5*g**3 + 3\/25*g**5. Solve a(k) = 0 for k.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**4\/4 + y. Let c = 2 + -1. Let m(a) = 1 - 2*a**2 - c + 0*a**2. What is m(b(g))?\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 52 + 32. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4506*p**2 - 521*p - 1. What is the smallest common multiple of 30 and m(-2)?\nAnswer: 38130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -28, -25, -20, -13, -4, 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*m + 399287133 + 11415579 = -416046288. What is m rounded to the nearest 100000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -650\/51 - -73298\/357. Let t = a - 196. Let m = -13377\/8 + 1660. Find the common denominator of t and m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15, -63, -137, -237?\n\"Answer: -13*x**2 - 9*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 120 = -3*u. Solve 0 = -4*r - u, -3*t + 29 = -2*t - 5*r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -258, -508, -758, -1008, -1258, -1508?\n\"Answer: -250*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4403 - 4374. What is the closest to -2 in -1, 0.2, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 9:11 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.13, -8\/11, -3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49039 or 49038?\nAnswer: 49038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 16. Let d(t) = -t + 16. Determine -4*d(h) + 3*y(h).\nAnswer: h - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/268452870 and -71\/93.\nAnswer: 268452870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t + 42 = 2*r, -4*t - 4*r = 36. Let u = 4 + -6. Let n = u - t. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 809*y - 43338 = -36057 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 5, -50, -27, -2 in decreasing order.\nAnswer: 11, 5, -2, -27, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 33\/8 of a millimeter?\nAnswer: 4125","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-5094)\/(-2) - (-3 - (11 - 17))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 6*f = 68, 95 = 2*d + f - 85. What is the remainder when d is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 + 29*k**2 + 141*k + 61. Determine d(19).\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 8*l**2 - 27*l - 82. Let x be o(-6). Let g = x + 772. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -858*c**4 - 750*c.\nAnswer: -10296*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/6 - 23*k**2\/2 + 3267*k\/2 + 9869\/6.\nAnswer: -(k - 71)*(k + 1)*(k + 139)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (1 + 0) - 1. Let h be -3 + (-2 - (v + 0)). Let u(i) = -i**2 - 3*i + 4. Calculate u(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, b: 1, v: 4, e: 2}. What is prob of picking 2 e and 1 v?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -3. Suppose 5*r = y + 351 - 1594, -m*r - 3*y - 753 = 0. Let s = r - -442. List the prime factors of s.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51\/(-2040)*(-104)\/65\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 68298094, 68298096, 68298100, 68298106?\n\"Answer: l**2 - l + 68298094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -18*d**5\/5 - 13*d**3\/3 - 174. Find the third derivative of q(a) wrt a.\nAnswer: -432*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4474871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 486 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**2 + 38*b + 7. What is the tens digit of z(40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 10*s = -6*s - 726, -5*j + 3*s + 1181 = 0. Calculate the smallest common multiple of 42 and j.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 2, r: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -498146 or -5479620\/11?\nAnswer: -5479620\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164747 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 23626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/6477110 and 117\/72010.\nAnswer: 123065090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i**3 + 182*i**2 + 35*i**4 - 368*i**2 + 186*i**2 = 0 for i.\nAnswer: -4\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.6 - 4. Let f = -2.1 + x. Let g = 0 + f. What is the closest to 2\/7 in -1, 2\/11, g?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/484 and 15\/5852.\nAnswer: 64372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 43 - (-25 - -98) - (0 + 4)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1664523 divided by 15?\nAnswer: 554841\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384*m**2 + 3 - 3 + 193*m**2 + 193*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + -38. Let f(j) = j + 6. Let v be f(u). Factor v + 0*r - 1\/2*r**2.\nAnswer: -r**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m**2 - 5*m - 28. Let i(v) = -v**2 - 2*v - 9. Suppose -18*j + 13*j - 10 = 0. Let r(p) = j*o(p) + 7*i(p). Let n = 11 - 6. Calculate r(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2117299*k - 2118159*k + 4238014*k.\nAnswer: 2556*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2547 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/54 and -25\/12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/2590 and 13\/13986.\nAnswer: 69930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 356 and 7500?\nAnswer: 667500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.69? (a) -3\/2 (b) -2\/7 (c) 0.5 (d) -2 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 8 = -11*q. Let o = 10 - 7. Which is greater: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v - 10*v - 15 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*p - 39*p = -3*o - 15, p + 3*o - 13 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14510804 and 108?\nAnswer: 391791708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2500941 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 u(w) = -w + 37. Determine u(-12).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u + 26. Let h be b(8). Let o(n) = -n**2 - 2*n. Determine o(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 7*w + 16. Suppose 8*h - 7*h = -7. Let t = 9 - 5. Calculate the smallest common multiple of t and u(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130535 (base 6) in base 4?\nAnswer: -2321123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 232, -4 in descending order.\nAnswer: 232, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*h + 8699 + 8941 = -227*h for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*g = 17 + 24, -v - 5 = 4*g. Let f(n) = n**2 - 7*n + 8. List the prime factors of f(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 396, 459, 516, 561, 588, 591?\nAnswer: 564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x. Let d be g(7). Let z(b) = -11*b - 1 + 27*b + 2 + 16 - 18*b. What is z(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 43, 74, 139, 250, 419, 658, 979?\nAnswer: 1394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2184*m**3 + 1047*m**2 - 105819902 with respect to m.\nAnswer: -6552*m**2 + 2094*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102988, -102985, -102982?\nAnswer: -102979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2838215 is divided by 236511?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-13))**33\/((p\/p**22)\/p**25) assuming p is positive.\nAnswer: p**(-383)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**6\/14 - 6*g**5\/35 - 3*g**4\/14 + 4*g**3\/7 + 3*g**2\/14 - 6*g\/7 + 42. Solve u(j) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 188 = -17*i, w - 9*i - 22 = -4*i - 9*i + 30 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-5) + 6\/3. Let a(v) be the first derivative of 7\/3*v**3 - 9\/2*v**2 - 2 - 9*v. Let g(f) = f**2 - f - 1. What is h*a(y) - 18*g(y)?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06756691 rounded to 5 dps?\nAnswer: -0.06757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -223 + 1558\/7. Which is the biggest value? (a) q (b) -2\/63 (c) -5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q. Let t(v) = v. Let r(z) = -i(z) + 2*t(z). Let c(u) be the third derivative of 5*u**4\/8 - 9*u**2 + u. What is c(r(b))?\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 + 4 = -3*b. What is the least common multiple of b and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69978 + -14721. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-176 + 390 - 140)*(n - 3*n - n) + 6*n + 3*n - 5*n.\nAnswer: -218*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5472 and 18?\nAnswer: 5472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -6*y + 5*s, y - 3*s + 7 = 0. Let z(n) = 4*n - 3. Let b(v) = 3*v - 4. Let q(a) = 6*b(a) - 5*z(a). Let f be q(-6). Put 2, f, y in increasing order.\nAnswer: 2, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (670\/(-603)*9\/204)\/((-67)\/804).\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*1*-1)\/(-2*sqrt(36)\/sqrt(4) + sqrt(9)))**2 + -3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6 + (51 - 3776\/96)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 - 181 = -x. Suppose 5*n = -p - 139, -2*n = 2*p + n + 299. Let z = p + x. List the prime factors of z.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2133 - -2133.02547. Round n to 4 dps.\nAnswer: 0.0255","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 102123323 (base 5) to base 4\nAnswer: 1220023121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a minute?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -1\/2 in ascending order.\nAnswer: -1\/2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/12 - (-44)\/(-8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 104.8 + -92. Let a = p + -13. Put -1\/6, a, 0.3 in ascending order.\nAnswer: a, -1\/6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 386 = -400 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2112546 (base 7) in base 5?\nAnswer: -31133341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9101955 is divided by 2569?\nAnswer: 2557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + sqrt(84)\/(sqrt(144)\/sqrt(432))*-5.\nAnswer: -30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-6)*(-9)\/3. Let v(h) = -22*h - 1. List the prime factors of v(u).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83386*x**3 - 16848*x**3 + 12884*x**3.\nAnswer: 79422*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -2443?\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 1 - 1*-1. Let v(r) = -968*r**3 + 3*r**2 + 2*r + 967*r**3 - 4*r + 5*r. Let j(x) = -x**3 + 2*x**2 + 2*x. Determine b*v(z) - 6*j(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 202*l**2*m**3 + l**2*m + 5*l**2 - 2*m**2 wrt m.\nAnswer: 1212*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**5 + 1978*z**4 + 29821*z**3 + 147350*z**2 + 263004*z + 143496 = 0.\nAnswer: -6, -2, -1, 1993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/1440976 and 51\/16.\nAnswer: 1440976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 242091, 242087, 242083, 242079, 242075, 242071?\nAnswer: 242067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -225 (base 7) to base 9.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.035 - 0.03. Let w = -0.009 + t. Let n = 0.096 - w. What is the closest to 5 in -5, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 109*w**2 + 2321*w + 664. Determine k(-21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1210 and 3104365?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/48)\/((-4)\/24*2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18141, -36238, -54327, -72402, -90457, -108486, -126483?\nAnswer: -144442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3169 - 3147.3. Round q to 0 dps.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -1. Suppose 4*i = 3*q + 37, 0 = 3*i - n*i + 4*q + 5. Solve i = 4*o - r, 5*o - 2*r = r + 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 63895*c**2 - c**3 - 4*c**4 + 63895*c**2 in the form d*c + o*c**3 + t + y*c**4 + x*c**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -808 - -646. Let m = 166 + s. Let r = -2 + 1. What is the fourth smallest value in 5, m, r, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.3 and 7.\nAnswer: -37.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -61*j**7\/70 - 154*j**3\/3 + 12*j**2 + 8*j. Differentiate n(a) wrt a.\nAnswer: -732*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -139297.\nAnswer: -13929.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*n - 6. Let p = n + 13. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y. Let u(g) be the second derivative of g**3\/2 - 11*g**2\/2 + 11*g. What is v(u(h))?\nAnswer: -6*h + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12232022311 - 130?\nAnswer: -12232023101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5816?\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 11. Let i be (-3*w\/24)\/(-1). Which is bigger: i or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 132, 301, 556, 909, 1372, 1957, 2676?\nAnswer: 3541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1. Let f be 62*(p + 9\/6). Let b = -24 + f. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67823, 135647, 203467, 271283, 339095, 406903?\nAnswer: 474707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 309 - 291. Suppose 10 = 5*v + 5*p, 0 = v + 3*p + 2*p + i. Solve -5*l + v + 13 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-12\/7)*n**(-2\/7))\/(n**(2\/9)*n*n*n*n*n*n**(-2\/59)))**50 assuming n is positive.\nAnswer: n**(-190850\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2409236 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((84\/(-72))\/((-4)\/(-8)))\/(25\/300)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 191056\/3 + -63685. Let t = -6 - -5. Let g = t + -10. Which is the nearest to g? (a) -0.2 (b) p (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q - 4. Let w(h) = 4*h + 6. Let l(y) = -8*i(y) - 5*w(y). Let d(m) = -m - 1. Determine 3*d(g) + l(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -99*u**4 - 152 + 150 - 3*u + 77*u**4 as i*u**3 + l*u**2 + r + h*u + c*u**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5.037933 times -16\nAnswer: -80.606928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/238 and -69\/850?\nAnswer: 5950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -211*c**5 + c**4 - 2954*c?\nAnswer: -4220*c**3 + 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkzkkgkzzzkzkzzkk.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*s + 9. Let x(z) = 147*z**2 + 2*z + 1. Is x(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 285, 294, 313, 348, 405, 490, 609?\nAnswer: 768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -0.04627, 5, -1 in ascending order.\nAnswer: -1, -0.04627, 4\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-3))\/5*-6. Suppose 0*w = -w - 5*a - 22, 4*w - m*a = 22. Let q be (-2)\/(-6) + 7\/6. Which is bigger: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 424 - 373. Calculate the remainder when q is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/20640 and -65\/6.\nAnswer: 20640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 17*h - 12. Let n = 72 - 64. Calculate the remainder when c(-14) is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 > 1952?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -0.1, 0.5 in increasing order.\nAnswer: -0.1, 0.5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 4*m. Let c be -2*(8\/(-4) + 3). Let r = -7 - c. Calculate l(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116323 (base 11) in base 6?\nAnswer: -3540054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 413.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.121056? (a) 0.3 (b) 1\/7 (c) -0.5 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2180*z**2 + 725*z**2 + 728*z**2 - 2*z**3 + 10 - 16 + 725*z**2 - z to the form k*z + i*z**3 + a + m*z**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 614 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3124, 2\/19, -0.2, 3\/2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - 37. Let c = s + 44. What is the second smallest value in -1\/5, c, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 1 - x + 0*x**2 + 5*x**2 - 4*x. Let w = -100 + 106. Is 16 a factor of s(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2314 - 2313.99113. Round w to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d + d - 4*d)*(-d + 0*d + 3*d + (-2 + 1 - 1)*(0 - 2*d + 0) - 2 + 2 + 3*d).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -0.7, 0.14, 3, -289, 9\/8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**4 + 2*a + 10. Let v(k) = 1. Let m(z) = 5*z**2 + 25. Let b(u) = m(u) - 25*v(u). Determine b(q(x)).\nAnswer: 720*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -0.2, -11173, -1, 2\/9, -1\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 561 and 17162827.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26259, 25921, 25583, 25245?\n\"Answer: -338*k + 26597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 57, 69, 91, 129, 189, 277, 399?\nAnswer: 561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27410 rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - g - 2)*(0 + 0 + 2*g) - 3 + 3*g**2 + 3 + 6*g**2 + 2*g**2 - 3*g**2 + (-62*g + 52*g + 84*g)*(0*g + 0*g + 2*g).\nAnswer: 154*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = 15*m - 973. Let o = -63 + m. Let z(x) = x - 2. Determine z(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e (base 16) to base 8.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -14. Suppose -3*y + b = 2. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 2. Let k(d) = -18*d + 3 + i - 6 + 7*d. Calculate the least common multiple of 6 and k(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (20 + -25 - (3 + -32)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 + 8*z - 5. Let c = 3230 - 3236. What is p(c)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -845, -1, 2, 4 in increasing order.\nAnswer: -845, -2, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**2 - 4056*o - 28641. Give y(-7).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*n - 75712 = 60836. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -30130655 and -1.\nAnswer: -30130656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 123 + -54. What are the prime factors of m?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.1 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**4\/48 + 7*c**3\/4 - 441*c**2\/8 + c + 151. Factor r(z).\nAnswer: -(z - 21)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653570878?\nAnswer: 2, 53, 6165763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/25 + -3*2\/(-6). Let w = -1 + 2. Let v = w - 1.5. What is the closest to 2\/7 in 1\/5, a, v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1598)\/84 + -54 + 5 + 68.\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v + 1. Suppose 2*j = -4*x + 2, 2*j - 3*x = x + 2. Let a(w) = w - 1. Calculate j*k(d) + 2*a(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*3*1\/15?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1710, 1700, 1690, 1680, 1670, 1660?\nAnswer: 1650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -1727.\nAnswer: -2\/1727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -7*g - 10. Let l(d) = 6*d**2 - 3*d + 5. Is l(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -743 - -727. Is -22 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -19. Let i be ((-12)\/t)\/((-3)\/92). Let y = i + 66. Calculate the remainder when y is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (-8)\/4*2) + -2. Let l be ((-12)\/(-15))\/(b\/120). Let g = 70 - 46. What is the highest common divisor of l and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 378 + -360.7. Let z = -17.29999006 + u. What is z rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d + 10 = -2*r, 0 = -5*r - 5. Suppose -4*u + 739 = 3*n, 576 = 3*u - 3*n - d*n. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.367394ns in milliseconds?\nAnswer: 0.000006367394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4188399448 to the nearest integer?\nAnswer: 1612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -j - 2. Let z(m) = -m**2 - 6*m - 6. Let r(c) = c**2 + 10*c + 4. Let a be r(-9). Let t be z(a). Sort t, -4, j in descending order.\nAnswer: j, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6)*m*m**3*m)**(-24)*((m**(-3)*m)\/m*m\/((m\/(m*m\/m**5))\/m))**(-2\/55) assuming m is positive.\nAnswer: m**(266\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 - 5 + 283165*z + 5 - 283165*z.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h + 21. Suppose 0*t + 96 = -4*b + 3*t, 5*b + 4*t + 89 = 0. Let z(d) = -d + 4. Determine b*z(s) + 4*x(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -1*(-2 + -2). Let p be 3 - v - (-1)\/1. What is the common denominator of p + 37\/12 + 2 and 53\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7216234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 216 + 32. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from eoase.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4094346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 237, 225, 203, 165, 105, 17, -105?\n\"Answer: -y**3 + y**2 - 8*y + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 3) + 2 + (25 - 22)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1232)\/64*2088\/3654?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3824639563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x - 122*x**2 - 2*x + 6*x - 3*x as o*x + z*x**2 + k and give z.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86 - 72. Let k(y) = y**3 - 13*y**2 - 14*y + 18. Calculate the lowest common multiple of k(f) and 20\/((-40)\/(-15) - 2).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -274675, -549266, -823857, -1098448, -1373039?\n\"Answer: -274591*j - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3, 5, 17, 33, 53, 77, 105?\n\"Answer: 2*o**2 + 2*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.65 times -836?\nAnswer: 1379.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -2 - 1) + -38 + 34.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/317 - -2181\/6023. Let h = -3536\/9443 + i. Let u = -925\/11431 + h. Sort 2, u, -2\/39, -0.4 in ascending order.\nAnswer: -0.4, u, -2\/39, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 0*h**2 + 5 - 4*h + 3*h**2 - 4*h**2. Let j be l(-5). Let m(u) = -1. Let d(z) = -z + 9. Let r(w) = -d(w) - 3*m(w). What is r(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 326b5 (base 13) to base 10.\nAnswer: 91239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -14*h**2 - 28*h - 14. Let y(a) = -2*a**2 - 4*a - 2. Let w(b) = -6*q(b) + 44*y(b). Factor w(i).\nAnswer: -4*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33*30*(-5)\/(-225).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 15 = 6*v. Suppose 18 = v*t + 2*t. Calculate the least common multiple of t and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.9 + 9. Let c = z - 0.3. Is -8 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4459\/3 + 1487. Factor -2\/3*b + 2\/3*b**3 - 2\/3 + u*b**2.\nAnswer: 2*(b - 1)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -a - 22, 0*x = -2*a - 5*x - 45. Let t = 10918582 - 262343701\/24. Let y = -12400 - t. What is the common denominator of y and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6738595754 to the nearest integer?\nAnswer: 82089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -14, -1850.\nAnswer: -1850, -14, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/9 + 8*u**3\/9 - 32*u\/9 - 32\/9.\nAnswer: 2*(u - 2)*(u + 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 37*x**3 + 2*x**2 - 2*x + 2. Let i(o) = 2626*o**3 + 143*o**2 - 143*o + 143. Suppose 243*h - 1767 - 32982 = 0. Calculate h*t(u) - 2*i(u).\nAnswer: 39*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -451?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/4))**(-10)\/((a\/(a**7*a*a))\/(a**(-2\/7)\/a*a)))\/(((a**(-2\/3)\/a)\/a*a)**(17\/5)\/(a*a**(2\/5))**(-17)) assuming a is positive.\nAnswer: a**(-2713\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from {p: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from ekjxack?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 6 + -5 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/2766 and -7\/444.\nAnswer: 204684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1040 - -1563. What are the prime factors of i?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 90. What is w(-20)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 684.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/2 - 4\/(-2). Let w be 15\/3*(-2)\/(-2). Solve -5*o + 0*s + s + 15 = 0, w*o + h*s = 35 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000000001000111011000 (base 2) in base 13?\nAnswer: 58782a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - f**3 + 0*f**3 - 8 + 0*f**3 + 7*f**2 + 8*f. Let d be x(7). Let j = -1 + 2. Which is smaller: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - -3)\/(24\/60). Find the second derivative of 13*n + c*n - 35*n + 73*n**2 - 4 wrt n.\nAnswer: 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4*s - 20, 11 = x - 2*s + 1. Let f = -1\/2 + x. Sort f, -7\/5, 0.3 in decreasing order.\nAnswer: 0.3, f, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1501 (base 13) to base 9\nAnswer: 4151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/40*5*4\/18.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*r - 76*r + 0 - 2 - 71*r.\nAnswer: -191*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2480.72 - -2480.719833847. Round f to five dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 0.4 (c) -1\/2 (d) -2.89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/616530 (b) -1 (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -5275 (b) 0.1 (c) 11.3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-88)\/(-24) - 3)*(-14 + -1). Let r = 3 + 11. Let b = m + r. Solve 0 = 2*h + b*z - 6*z - 10, 5*z + 23 = 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-16)\/2)\/24 - (-49676)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*f - 1019 - 534 = 793 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 136529571, 273059146, 409588721, 546118296, 682647871, 819177446?\n\"Answer: 136529575*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 34 - 8*g**3 + 185*g**3.\nAnswer: 177*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*c + 26 = 33*c. Solve 3*s - 25 = -c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((56\/(-7))\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 - 1)*(32 + 35 - 10) + 1 - 2 - 1 + 1 - 3 + 4)*(-4*h + h - 6*h).\nAnswer: 1026*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 65517 + 3525. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 11 = 2*c - 9*o, -1 = -2*c - 5*o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -28. Let y = f + 14. Let k(p) = -p**2 + 8*p - 4. Determine k(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -1\/2 (c) 21 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 11*j - 51. What is the remainder when 3329 is divided by p(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-10) + (-29)\/(-35). Let g = 0.013 - -2.087. Let n = -2 + g. Which is the second smallest value? (a) n (b) -2\/15 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - ((-18)\/(-16))\/((-6)\/(-4)))*52.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - 38679\/(-3)) + 6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o - 14 = 8*o. What is the smallest common multiple of 27 and (o\/(-9)*-3)\/(1\/27)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4843, -4841, -4839, -4837, -4835?\nAnswer: -4833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3) + 4826\/(-762).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 1\/611?\nAnswer: 1\/611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298 + 402 = 7*l. Let d = l - 100. Determine q so that 2\/7*q**2 + 4\/7*q + d = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 3:08 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 32 - 5*z**3 - 36 + 3*z**3 - z**3 + 0*z**3 - 5*z**2. Let p = 2 - -5. Let q(u) = -24 - 9*u**3 + 13 - p*u**2 - 7*u**2. Give -17*k(s) + 6*q(s).\nAnswer: -3*s**3 + s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - (-1 + -1)) + -1. Let f = 0.1624 + 3.8376. Sort -14, f, r, -5 in ascending order.\nAnswer: -14, -5, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29348 and 8188?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2. Let s(c) = 4*c**3 - 3*c**2 + 3*c - 5. Let z be s(2). Let x(t) = 3*t. Let f(h) = 15*h. Let i(d) = z*x(d) - 4*f(d). Determine u(i(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*3*-6)\/(sqrt(800)*1) - ((-4 + -1 + sqrt(1900))*3 + -3)**2.\nAnswer: -17424 + 5391*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/9))**(2\/5)\/((((y**0*y)\/y)\/y)\/y**(1\/4)) assuming y is positive.\nAnswer: y**(209\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 39*k - 195. Calculate h(-33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (96\/360)\/((8\/6)\/(-2)). Sort 1.6, -4, 3, v in descending order.\nAnswer: 3, 1.6, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6613019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/(-20) + ((-69)\/(-15) - 5). Which is the third biggest value? (a) 0.6 (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -4\/3, -0.4, -26\/9?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 4*h - h)*((2 + 1 - 1)*(-6*h + 3*h + h) - 2*h + 2*h - 2*h).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 - (5 + 11 - 60).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 - -11 - 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 3*n - 9. Give w(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 7404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 106245\nAnswer: -637470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/56 and 119\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {x: 4, r: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 601, 1231, 1861?\nAnswer: 2491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 548 = j - 823. What are the prime factors of j\/(-2 + -6 + 9)?\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -20. Let w = t - 14. Which is the nearest to -2\/7? (a) 0.06 (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 4*z**2 - z - 1. Let o be 1*14*10\/(-4). Let p = o - -51. Suppose 0*g + 4*g + p = 0. Determine d(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -116. Is 44 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10843\/8 - 1347. What is the common denominator of 29\/2 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(-3)\/360*(-2)\/(-1). Let d(g) be the second derivative of 0*g**2 + c*g**5 - 1\/12*g**4 + 0 + 0*g**3 - 4*g. Factor d(l).\nAnswer: l**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1014.5 + 1015. Let u = 47\/12 + -11\/3. Sort 0.4, y, u in decreasing order.\nAnswer: y, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -86?\nAnswer: -5\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1544 is divided by 131?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -673, -1428, -2685, -4444, -6705?\n\"Answer: -251*j**2 - 2*j - 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*y - 65767 + 65767.\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b + 3*b - 2 - 4*b. Let g = 18 - 15. Suppose -n + g*o + 12 = 0, -1 + 9 = 5*n - 2*o. Determine c(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((9665670\/12)\/(-5))\/(36\/(-72)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31342, 3\/41, 3\/4, -2\/51 in descending order.\nAnswer: 3\/4, 3\/41, -2\/51, -31342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136862.\nAnswer: 2, 11, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-605)\/10)\/(1\/(-2)). Suppose x - 109 = -4*v + 3*v, 3*v = x - h. Suppose 3*p = 47 + x. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/2)\/((-2)\/(-60)). Suppose 24*l - 105 = 17*l. Calculate the highest common factor of u and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 113\/525 + -3\/25. Is 0.02 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 16 = 3*z - z, -3*a = -z + 10. Suppose -4*d - 51 = -2*y + 9, 0 = z*d + 20. Let w = 59 - y. What is the highest common factor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.83 - 4.83. Let z = 2 - 2.3. Which is the second biggest value? (a) z (b) -0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrg when four letters picked without replacement from {e: 5, v: 4, r: 4, g: 3}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26108840 and 223?\nAnswer: 26108840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -321*y - 269*y - 16*y - 232*y to c + b*y and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 325766 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/((j*j**(-1)*j*j*j)\/j))**1\/(((j\/(j**(-5)*j))\/j)\/(j*j**(1\/2))))\/(((j*j**(-1\/3))\/j)**(1\/2)*(j**(-1)\/j)**29) assuming j is positive.\nAnswer: j**(167\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*y + 3*i + 108, 3*i = 3. List the prime factors of y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1846543, -1 in descending order.\nAnswer: 1846543, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 times -625?\nAnswer: 1062.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133932?\nAnswer: 2, 3, 11161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 763694\/(-16840) + (-21)\/(-60)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/2)*k)\/((k**(-10\/9)\/k)\/k)*k\/k**(-7\/6)*k*k*k**(-3\/5)\/k*k)**(-2\/29))**(-2\/19) assuming k is positive.\nAnswer: k**(68\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4 + 2*n**3 - n**2 - 2*n = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/41818 and 49\/1648.\nAnswer: 334544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9a4f6 - 0?\nAnswer: -9a4f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*s - 31*s + 512 + 863 = 0 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -19 - -24 - (8 - -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/((p*p**(2\/13)\/p)\/p*p))\/p)**(-48)*(p*p\/((p\/(p\/(p**0\/p))*p)\/p)*p)**(1\/4) assuming p is positive.\nAnswer: p**(-515\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkjyojjyjkjjaj. What is prob of sequence of?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from hqzsv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35393953*b**4 - 30571000 with respect to b.\nAnswer: -141575812*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 3 + 2*s)*(62*s**3 + 220*s - 220*s).\nAnswer: 124*s**4 + 248*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13, -2\/523, -0.1.\nAnswer: -0.1, -2\/523, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-6) + (-726330)\/21150 + 35 - (3 - 5).\nAnswer: -2\/235","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 193 - 189. Suppose d - h*g = 4*d - 398, 0 = d - 2*g - 146. What is the least common multiple of d and 16?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5330 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 202 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 6169.91 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 s, and 1 c when four letters picked without replacement from cjcijiljcjipcijlsj.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.62*36.49.\nAnswer: -95.6038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 11*m - 39. Give d(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1259 is divided by 105.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 - 479?\nAnswer: -463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/1306368 and -23\/1458.\nAnswer: 1306368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(704) + 1)*1.\nAnswer: 1 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u - 4*u = -9684. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b - 2*b + 3*b)*(-297 - 449 + 887) to a + v*b and give v.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*s - 13*s + 167 + 379 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18811183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-51)\/(-5) - (-3)\/(-15). Solve -2*m + 4*m = u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -111305*k + 2337394. Calculate z(21).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*c + 28*c + 514 = 0. Suppose -c*t + 263*t = 144. Solve 20 = -2*g - 5*j, -5*j - t = 5*g + 11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x + 5\/2*x**2 + 1\/6*x**3 + 0. Let i be 4\/(-18) + (-6)\/(-27). Give w(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-4)\/(320\/(-24)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -599670*f**3 + 70*f**2 - 60*f + 102.\nAnswer: -3598020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310.4419mg to nanograms.\nAnswer: 310441900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81 - -81. Let f = 159 + -155. Solve 0 = 4*b, -i + w*b + f = -b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 1008873.1\nAnswer: 6053238.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 9:34 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 t when four letters picked without replacement from {a: 1, t: 12, c: 3}?\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5967973249 + 664.\nAnswer: -5967972585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -4 - -1) + -3 + 0 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -16, -3, 42, 131, 276, 489, 782?\nAnswer: 1167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19116068 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/71 or -90138?\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/5 + 10038400*d + 62980921600000.\nAnswer: 2*(d + 12548000)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 + 2*v**4 - 4*v**4 + (0*v - 2*v + v)*(3*v**3 - v**3 + 0*v**3) - 25*v**4 + 61*v**3 - 61*v**3.\nAnswer: -28*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**8\/112 + l**7\/35 - l**6\/20 - 2*l**5\/5 - 7*l**4\/8 - l**3 - 300*l**2. Factor z(t).\nAnswer: 3*(t - 2)*(t + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 = -0. Suppose j - f - 2 = -1, -p*j = f - 14. Let a(d) = 2*d - 8. Let w be a(7). Solve -j*b - 26 + w = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - u - 20, 3*t + 4*u + 1 = 0. Sort 4, -3, 17, t in ascending order.\nAnswer: t, -3, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 k when three letters picked without replacement from {a: 4, k: 1, t: 6, b: 3, c: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 8 + 5 + -6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8349524501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 169, 5, 4 in descending order.\nAnswer: 169, 5, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1024)*3 + sqrt(1024) - sqrt(144)*-3)\/(sqrt(8) + sqrt(8) + (4*sqrt(128) - sqrt(128)) - (sqrt(96)\/sqrt(972) + sqrt(8))).\nAnswer: 369*sqrt(2)\/116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyyiayyipaj. What is prob of sequence yy?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 + 2*l + 1. Let y(x) = 2*x**3 + x + 2. Let n(p) = 4*s(p) - 5*y(p). Let q(v) = -3*v**3 + 6*v - 11. Calculate -7*n(j) + 4*q(j).\nAnswer: 2*j**3 + 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 81\/(-90)*(-15)\/(-18). Suppose 0 = -2*m + 7*m. Which is bigger: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 614*n - 430. What is the units digit of r(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n = -8*n + 247 + 23. Solve 0 = n*k + 3 + 17 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*v + 8, -3*v = 5 - 2. Suppose 5*l - 165 = t*x + x, -l = x - 24. Does 20 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 42*w**2 + 205*w + 6983. What is g(-43)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y = -2*y - 638218. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26805*x - 26787*x + 702 = 0 for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -120*r**3 + r**2 + 2*r. Calculate the remainder when g(-1) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -88862, -355904, -801126, -1424528?\n\"Answer: -89090*q**2 + 228*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 20247 divided by 3\nAnswer: 6749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1767 (base 12) to base 2.\nAnswer: 101011111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -404633?\nAnswer: -202316.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**3 + 4*q**3 + 432 + q**3 - 432.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from obuofoboboffouo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 + -10 - (1 - 5). Suppose 0 = -f*y + 269 - 89. Suppose -2*i + 27 = i. What is the greatest common divisor of i and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12101211221 + -21101000?\nAnswer: 12010110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095241 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.3 and 6.2.\nAnswer: -20.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c + 107 + 90 - 173 as m + i*c and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -689 + 1329. Factor -b + 318 + 320 + j**2 - j.\nAnswer: (j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 879227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 33\/(-55) - (-18)\/(-70). Let k = -1 + 0. Let r = -61\/2 + 30. Which is the third smallest value? (a) w (b) r (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m. Let i(k) be the third derivative of -1\/10*k**5 + 0 + 0*k**4 + 0*k**3 + 99*k**2 + 0*k. Calculate c(i(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9498 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 10*b**2 - 10*b + 46. Give a(9).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 633255476.\nAnswer: 2, 7, 31, 729557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-88)\/(-5) - 4\/(-10). Suppose -2*f + j = -10. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -0.4 (b) 0.3 (c) 517 (d) -0.3 (e) 2.83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y - 1119 = 8*y + 2*v - 1202, 8*y + 2*y - 76 = -5*v + 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 + 129*g + 123*g - 254*g + 57.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 8*r**2 - 6*r - 5. Let u be x(7). Let h(j) = -4*j + 4. Let v be 3\/(-7) - (-168)\/49. Let l(f) = -f - v - f + 5*f. Determine u*h(w) + 3*l(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 695 - 739 = -3*f. Let v(w) = -w**3 + 12*w**2 - 13*w - 11. Determine v(f).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 0.04384, 5, 0.1, 2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y - 9. Let i be w(-2). Let x be ((-3)\/2)\/((-6)\/32). Let u = i + x. Solve 0 = c - u, 5*p + 28 + 12 = 4*c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(441)\/(3*sqrt(81)))\/(sqrt(700) - (2*sqrt(42) - sqrt(42))\/sqrt(6)) + 1.\nAnswer: sqrt(7)\/81 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29491917?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -277.55 - 1?\nAnswer: -278.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**4 - 10*f**3 - 2*f - 4*f**4 - 2*f**2 + 7*f**3 - 7*f**4 + 1 + f**4 in the form z + s*f**3 + a*f**4 + k*f**2 + y*f and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -5*w - 288, 3*t - 5*w - 269 - 27 + 2 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 57851.7 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679149 is divided by 679072?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 i when three letters picked without replacement from nninniiiii?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -132, 0.05, -3\/7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4143905 divided by -5\nAnswer: 828781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2737?\nAnswer: 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -72*r**2 - 28*r + 28. Let h(w) = 8*w**2 + 3*w - 3. Give 56*h(d) + 6*q(d).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-38)*i**(-8)*i*i*((i\/(i*i*i**37))\/i)\/i**(8\/7) assuming i is positive.\nAnswer: i**(-589\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 40 = -2*x + x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -23493082?\nAnswer: -5\/11746541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(272)*4.\nAnswer: -32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -980, -3897, -8752, -15539, -24252?\nAnswer: -34885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 392 - 1964\/5. Which is the nearest to -2\/143? (a) t (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 32 = -4*r - 3*o, 0 = 3*o + 9. Let g(u) = 3*u**3 - 8*u**2 - 17*u + 1. Let w be g(-2). Sort 5, r, w in increasing order.\nAnswer: w, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w = 40*w - 5. Solve z - 1 = w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 1 + 4)*-3)**2.\nAnswer: 90*sqrt(11) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, 5, 152, 349, 590, 869, 1180?\nAnswer: 1517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21002 + -1.8.\nAnswer: -21003.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(-1)\/2 - 0. Let k(l) = l**3 - 7*l**2 - 7. Let s be k(7). Let b = 9 + s. Solve 0 = -p - b - a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 5 (b) -13 (c) -3.63 (d) -1 (e) 0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 130921.6l?\nAnswer: 130921600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (14 + -1 - 13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186 and 384.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 126749814.\nAnswer: 253499628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 851*r**4 - r**3 - 6*r - 13050 wrt r.\nAnswer: 3404*r**3 - 3*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004445795207 rounded to six dps?\nAnswer: -0.004446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 148?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 45 = 4*l, -4*l = -5*n + 3*n + 18. Suppose 0 = -f - f + 18. What is the units digit of ((-6)\/f)\/((-2)\/n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t - 5. Let m(r) = -1. Let b(q) = h(q) - 4*m(q). Let i = -449 + 446. Calculate b(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -11*h + 1. Suppose -2*o + 39 = j, 0*o + 97 = 5*o + 3*j. Let v(l) = -o*l**2 + 41*l**2 - 27*l**2. Determine v(f(x)).\nAnswer: -726*x**2 + 132*x - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 18 in descending order.\nAnswer: 18, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*f + 1, 5*u = -4*f + 4*u + 7. What is the third biggest value in 0.5, f, -0.36?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 189*y - 188*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1650873?\nAnswer: 3, 7, 127, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-6) - -3) + -3 - 2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 540 = 27*q. Solve 0*f + 9*f = -q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6475 + 4536. Let w = -19437\/10 - a. Calculate the common denominator of 93\/20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/6935 and -10\/17?\nAnswer: 117895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*w = -28 - 45, 3*x - 2*w + 54 = 0. Calculate the common denominator of 86\/x - (-1)\/(-4) and 2 + 8 + -14 - -37.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 13*s**2 + 7*s + 4. Let c(w) = w + 5. Let b be c(-14). Let a = b - -7. Does 17 divide o(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/60 - 17\/2220. Let i = -4553\/222 + s. What is the common denominator of -55\/7 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2122055609 rounded to four dps?\nAnswer: 0.2122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.537 - -0.037. Let y = 3.98 + 0.02. What is the nearest to -0.1 in y, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1209, 3404, 5599, 7794, 9989?\nAnswer: 12184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from jgtujjfguufd?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4 + 1 + sqrt(1300) - ((sqrt(1300) - sqrt(1300)*2) + 5)**2 - (0 + 6*(-2 + sqrt(1300)))**2)*-6.\nAnswer: -9300*sqrt(13) + 289634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 9\/8 (b) -2\/3 (c) -1\/26 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 517*a**2*o + 24*o - 12 with respect to a.\nAnswer: 1034*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b\/b**(-4\/5))\/b*b*b**(-1\/4)*(b**0)**(7\/5) assuming b is positive.\nAnswer: b**(51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7040, 28756, 64954, 115634, 180796?\n\"Answer: 7241*z**2 - 7*z - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 358, 391, 424, 457?\nAnswer: 490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 288, 448, 626, 828?\nAnswer: 1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**2 - 1. Let r be d(2). Let w = r + 38. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1\/18, -104, 3\/8 in increasing order.\nAnswer: -104, -1\/18, 3\/8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -38, -79, -136, -209, -298, -403?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0238106 times 4?\nAnswer: 4.0952424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-145)\/435)\/(0 + 3\/(-243)). Let q(h) = h**3 - 3*h**2 + 2*h - 6. Let y be q(4). Calculate the greatest common factor of m and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(14)\/((sqrt(35) + sqrt(35) + sqrt(35)*1 + sqrt(35))\/sqrt(5)) + 3.\nAnswer: sqrt(2)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151970074 is divided by 66.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {i: 3, g: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33912018 and 6174?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 17*b**2 - b + 1. Let m(u) = -2*u**2 + u - 1. Give -m(x) - t(x).\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 149?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from {h: 2, q: 1, m: 1, s: 3, i: 1, j: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1538037 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrqr when four letters picked without replacement from qrrqqrrrqrrrrrqrrr.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -34032197635?\nAnswer: -34032197632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -34556*t**2. Let o(a) = -7*a. What is d(o(m))?\nAnswer: -1693244*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*r - 1417 = 1411 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25731?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 0.52, -1\/11, 286812, -0.1, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/49 (b) -108\/11 (c) -0.2 (d) -4\/3 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 93693.46 hours?\nAnswer: 5621607.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 9, 8, 7, 6, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 8*s = 36. What is the remainder when 20 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 5\/3*x**3 - 2\/3*x**4 + 0*x + 0 - 1\/120*x**6 + 1\/6*x**5 + 13*x**2. What is the units digit of z(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*4*-1*-3)\/(sqrt(700)*-2 + sqrt(700) + sqrt(847)*-1).\nAnswer: -4*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/9500 and -3\/4452080.\nAnswer: 111302000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*p - 270, 2*u + 258 = 5*p + u. Calculate the highest common factor of p and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -42834?\nAnswer: 42834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/2)\/(24\/160). Let l = s + 18. Factor z**2 - 11*z**2 + l*z**2 + 2.\nAnswer: -2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(4 - -2) - 113. Let m = t + 118. Suppose 0*a - 2*a + 2 = 0. Solve 0 = -m*j + a - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n - 7. Let c = 18 - 10. Suppose -2*o = -c - 4. Is 10 a factor of r(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3571105 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7558.572 + 2\nAnswer: -7556.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-11)*(s*s\/(s**24*s))\/s)\/(s*((s**(2\/43)\/s)\/s)\/s)**(-11) assuming s is positive.\nAnswer: s**(-2429\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 4*j + 0 - 2 + 3. Let d be b(5). Let k(h) = 0*h - h - h**2 - 4*h + 1 + h. Give k(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 8*x + 3. Let v be (-32)\/320 + (-3)\/(-5) + 22\/(-12). Which is the second biggest value? (a) -4 (b) 13 (c) v (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(-3*o**4 + 5*o + 0*o**4 + 2*o**4).\nAnswer: o**4 - 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 3. Let d be h(-5). Let f(b) = 403*b**2 + 2*b - 3*b - 396*b**d. Let k(p) = -p. What is f(k(m))?\nAnswer: 7*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 442 + -1?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -680 + 683. Suppose 55*h = -g + 113. Solve -h*b + 12 = 2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 40*n**2 - 4*n - 3. Let i be w(-1). Let c + 41*c**2 + i*c**2 + c**3 - 84*c**2 = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289054 = 3*b - d, -9*b - 2*d = -4*b - 481775. Suppose -12*m + 7531 = -b. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5291794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {o: 8, m: 8, d: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 x, and 1 a when four letters picked without replacement from {l: 3, x: 4, n: 3, s: 2, a: 4}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 3*j - 4*y, -4*y + 8 = 2*j + 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by (((-72)\/(-15))\/4)\/(8\/60).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f - 8. Let a be z(-6). Suppose -3*r + 4 = r. Let i be (2\/(-4))\/(1\/(-6)). Put a, r, i in descending order.\nAnswer: a, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.5387 + -10.65. Let p = r - -0.111300811. Round p to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 7:54 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1495\/(-23)*(-13)\/5 is divided by (688\/129)\/((-4)\/(-54)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, f: 2, t: 2, u: 1, j: 2}. Give prob of sequence jft.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -735*c**4 - 340299*c**3 + 80197893*c**2 - 3926469729*c + 32047470 = 0.\nAnswer: -645, 2\/245, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -7*h - 9*h + 24*h - 9*h - 22. Calculate j(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1129779616.\nAnswer: 2, 7, 107, 47137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 3*k**4\/26 - 7780*k**3\/39 + 1262304*k**2\/13 - 1679616*k\/13 - 291. Factor s(g).\nAnswer: 2*(g - 648)**2*(3*g - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m**2 + 1. Suppose 5*q = 75*g - 78*g - 11, -2*g = -6. Let j(s) = 17*s**2 - 3. What is q*j(f) - 11*k(f)?\nAnswer: -2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**5 + 1860*l**4 - 864897*l**3 - 5582*l**2 + 2598420*l - 1729800 = 0.\nAnswer: -2, 1, 930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 11*r - 5. Let x be j(3). Let h = x - 18. What is the remainder when 38 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*n**3 + 1)*(1 - 2 + 2) - 2*n**3 + 2*n**3 + n**3 + 0*n**3 - n**3 + 53 + 184 as t*n + u*n**3 + a + y*n**2 and give a.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14725.\nAnswer: 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 304 = -34*i - 983 for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, a: 1, m: 3, z: 3, e: 3, i: 2}. What is prob of sequence attt?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 842.1746 kilograms in nanograms?\nAnswer: 842174600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 7744*g - 292. List the prime factors of p(1).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 0 + 1\/12*y**4 + 0*y + 0*y**3 + 1\/60*y**5 + 2*y**2. What is the units digit of j(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 23*x - 135. Let a be i(-5). Is 59 a factor of (a + (-740)\/28)*-49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/812707 or -1?\nAnswer: 2\/812707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 + 12 - 23\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -9, 5, -5, -2, -237 in descending order.\nAnswer: 5, 3, -1, -2, -5, -9, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036 times -924?\nAnswer: 33.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*k + 2667 + 6693. What is the remainder when 69 is divided by 3\/9 - (4 - k\/27)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -41862104, -83724216, -125586328?\n\"Answer: -41862112*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 38*v**2 - 67*v - 25. Let o be x(36). Suppose -360 = 150*j - o*j. Calculate the greatest common factor of j and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 - 71 + 55*w + 136.\nAnswer: 55*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 21112146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 136\/23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 593*d**4 - 2679*d**3 - 57*d**2 + 40925339*d - 5 wrt d.\nAnswer: 7116*d**2 - 16074*d - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/4 and 2.637 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 2 - -3) + (0 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x - 4385 = -4489 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - x. Let f(c) = 2*c**2 + c + 66. Let p(m) = -d(m) + f(m). List the prime factors of p(0).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (27 - 3 - 7) + 18 + (-7 - 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7820, -7655, -7316, -6797, -6092, -5195?\nAnswer: -4100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -3, 13 in decreasing order.\nAnswer: 13, -4\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3353426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d06ce (base 16) to base 11.\nAnswer: -533450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*v - 101*v + 55*v. Solve 24*s + 22 - 166 = v for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 1\/6*q**3 + q**2 + q + 0. Let d be a(0). Solve -d*i - 2 = -0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41380170*u + 17903122.\nAnswer: -41380170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-2 + -2 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1112?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -17391333\nAnswer: -1\/5797111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -649 or -1\/2?\nAnswer: -649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23 - 13 - 5)*((3 - 2 + 0)*(1 + 0 - 2) - 2 + 3 + 1)*(7*d - 3*d - 2*d) as g + u*d and give u.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 4*g**2 - 2*g + 1. Let p be l(-5). Let t = p + 4. Let k be ((-2)\/t)\/(4\/(-10)). Which is the closest to 0.1? (a) -5 (b) 4\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -196*i + 2142. Give w(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 384 + -345. What is the remainder when n is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*n - 4 = 0. Sort -2, 2, n in ascending order.\nAnswer: -2, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 12.16. Let s = u + 0.329. What is s rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 187 + -224. Let s = -38 + 21. Let k = s - x. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + q. Which is the third smallest value? (a) -0.5 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.427982 centuries?\nAnswer: 14.27982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/11 - 209468*i\/11.\nAnswer: 2*i*(i - 104734)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314693626.\nAnswer: 2, 13, 157, 77093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -0.02 (c) 759\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -5. Let p(f) = -1 + 20*f - y - 7*f. Let i(u) = 4*u - 1. What is 7*i(v) - 2*p(v)?\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2995 is divided by 1212.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44241.\nAnswer: 3, 14747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115315 and 48020.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5\/6*t**2 - 4\/3*t - 2\/3 - 1\/6*t**3 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23784, -98334, -223646, -399720, -626556?\nAnswer: -904154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 88*m - 237. Let d be l(3). Calculate the highest common factor of d and 1404.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2580+27145436.9\nAnswer: 27142856.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*c**2 + 49*c**2 + 57*c**2.\nAnswer: 31*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10110 + 0?\nAnswer: -10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - -0.0311?\nAnswer: -25.9689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m - 101 + 101.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(76) - sqrt(76))*-2 - sqrt(76)) + (-3 + (sqrt(76) - (sqrt(76) + sqrt(76) + 0)))**2 + (-2*sqrt(76) + 4 - sqrt(76) - (1 + sqrt(76))**2*-2).\nAnswer: 20*sqrt(19) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13954*y - 2 + 2 - 13950*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*y + 4 = 62*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62\/7, 2\/9, 2 in increasing order.\nAnswer: -62\/7, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 3*x = 26. Let n = 71 + -19. Let m = n + -56. Sort x, m, -2.\nAnswer: m, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 683 less than -0.0634354?\nAnswer: -683.0634354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 19, 6, 2 in decreasing order.\nAnswer: 19, 6, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2\/7 + 7006*m\/7 + 1001 = 0. Calculate m.\nAnswer: -1, 7007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(117) + 1)*-1 - sqrt(117)))**2.\nAnswer: -36*sqrt(13) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35540705 + -5?\nAnswer: -35540711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53\/4 in -2, 5, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3027 + -0.6027. Let u = -6 - -10. Put -0.4, f, u, -3\/2 in ascending order.\nAnswer: -3\/2, -0.4, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 340 + 44 = 0. Suppose -g = -5*k - 4*t + 5*t, k - 10 = 5*t. Does 2 divide 51\/12 + k\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5763 - -7880?\nAnswer: 14753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 533406241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 340326702 to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 99 = -a, 22620 - 22713 = -4*v + 7*a for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.0473502246+32\nAnswer: 33.0473502246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + y**2 + 4. Let o be h(0). Let m = 41 - 45. Which is the closest to 3? (a) m (b) -0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.099 minus -1366763352.7?\nAnswer: 1366763352.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -508 - -344. Let j = -56 - p. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 291318129, 582636258, 873954389, 1165272522, 1456590657?\n\"Answer: g**2 + 291318126*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6590 + 4c?\nAnswer: 660c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.7 and -14.3.\nAnswer: 52.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 164927*l**3*z**3 + 22603*l**2*z**3 + 5*l**2*z wrt l?\nAnswer: 989562*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 290 + -288.7. Let l be -4 - (-7)\/(14\/4). Let y = 1 + l. Which is smaller: y or q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + (4 + sqrt(1700) - sqrt(1700)) + -5.\nAnswer: -1 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14320342*f**4 - 94679260*f.\nAnswer: 171844104*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.0549 - -1191?\nAnswer: 1202.0549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2 (b) 1883 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgt when three letters picked without replacement from rrrretttztttrzrrgtr.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 9\/2)*18\/180\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.9226792ug?\nAnswer: 0.0000000000009226792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-5) + (6 - (-1524)\/(-180)))*6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 0 - 1 + 6 - 4. Let i(x) = x + 2. Let z(a) = i(a) - 3*w(a). What is z(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1201432 - 1?\nAnswer: -1201433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 699 or 701?\nAnswer: 699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -0.4 (c) -0.28 (d) -1 (e) -4 (f) -2 (g) -198\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18\/33*5621\/219\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 7*x + 8. Let z be j(-6). Suppose -z*v = -2*y + v, 2*v = -2*y - 10. Which is smaller: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 953 = 2*m + 946, 0 = -m + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*f**3 - 131853*f**2 - 3090816*f wrt f.\nAnswer: 66*f - 263706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = y. Suppose -2*p + 0*p - 72 = y. Calculate the common denominator of p and (-62)\/(-10) + (-4)\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 1501220335?\nAnswer: 1501220344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1466693 and 11?\nAnswer: 16133623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i = 18*i + 3597. Let v be (1 - -23403)*6\/39. Let w = i + v. Find the common denominator of 31\/6 and w.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 10. Suppose n*k = 6*k - 1028. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/301835821 or 1?\nAnswer: -10\/301835821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and -0.28.\nAnswer: 0.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**4 + 18597*n**3 - 24632166*n**2 - 13306921092*n - 388286248536 = 0. Calculate n.\nAnswer: -382, -31, 3306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 38*u**2 - 13*u + 117. Is 9 a factor of l(36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 + (28 - 8) + 37.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 347638987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9723 - -53987?\nAnswer: 63710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011965153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.8 + -1.8. Let d = v - 16. What is the second smallest value in d, -0.1, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) 0.073 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 3. Let d be r(5). Let z be ((-98 - d)\/2)\/1. List the prime factors of (4\/(-8))\/(2\/z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-1 + sqrt(605))*4 + 2 + sqrt(605) + -1 + 0 + -5*1*sqrt(605) + 1))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from rrrrlrrrrrrlr.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, u: 2, z: 7}. Give prob of sequence zf.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 215\/4. Is q greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 123*a**2 - 27*a - 9. Let l(g) = -121*g**2 + 27*g + 9. Let o(k) = 5*j(k) + 4*l(k). Is o(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -36. Let l(j) = -5 + 3 + f - 2*j**2 + j**2. Calculate l(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h - 8. Let i be k(6). Suppose 129*d + 20*d = -596. Sort i, 2, 1, d in decreasing order.\nAnswer: i, 2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.7 from -1692.\nAnswer: -1691.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.53 times -1.7\nAnswer: -0.901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12324 (base 8) to base 4\nAnswer: -1103110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**4\/12 + 13*m**3\/6 - m**2 - 2*m. Let v be u(-13). Let t be 494\/65 - v\/5. Solve -t = -f - 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2869021 to the power of 1\/2, to the nearest integer?\nAnswer: 1694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38859496 and 13?\nAnswer: 38859496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 5. Let z be o(-7). Let g = -2 + z. Which is the smallest value? (a) 2 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2079 from 85.08.\nAnswer: 2164.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 4*o**2 - 36*o + 170. Let p be l(6). Solve -86 = p*r - 34 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-58599)\/(-15) + (-2)\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -717521*y**2 + 1129*y**3 + 588*y**3 + 1573*y**3 + 717521*y**2.\nAnswer: 3290*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1, 2, 1 in descending order.\nAnswer: 2, 1, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 10:41 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3*g. Which is smaller: g or 1\/16?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 8, -9, -44, -103, -192?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9333, 9331, 9327, 9321, 9313, 9303?\n\"Answer: -n**2 + n + 9333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + g. Let v(u) = 2*u**4 - 11*u**3 - 13*u - 5. Let o(q) = -6*m(q) - v(q). What is the second derivative of o(p) wrt p?\nAnswer: -24*p**2 + 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2542, 2540, 2536, 2530, 2522, 2512, 2500?\n\"Answer: -l**2 + l + 2542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**3\/2 - 2*x**2 - 13*x. Suppose 0 = -84*o + 17*o + 469. Determine f(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5370.164 decades to years.\nAnswer: 53701.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*p**4 + 2*p**4 - p**4 - 4*p - 1 + 3*p as o*p**3 + r*p**2 + h*p**4 + k + c*p and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 + -0.1. Let m = 0.2 - u. What is the nearest to -1\/2 in -3\/2, -11, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 1 - 1)*(2 + 2 - 1) + (40 - a - 40)*(96 + 12 + 18).\nAnswer: -120*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*s - 198480000 = -67*s. Round s to the nearest 1000000.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 136*x + 1737. Is 3 a factor of l(94)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.193472926 + 0.19349. What is i rounded to seven dps?\nAnswer: 0.0000171","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83564 a multiple of 444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -9*d + 60. Let w be t(23). Let z = -17 - w. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 16*h**3 - 6940*h**2 + 167992*h + 42432 = 0?\nAnswer: -1\/4, 26, 408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/(g**(2\/23)*g)))**(2\/51) assuming g is positive.\nAnswer: g**(4\/1173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -7. Suppose 32 = 5*t + 12. Suppose 0 = s*m - 1 - t. Solve b + 1 = -4*d + 6*d, 0 = b - d + m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 - 17. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3229 + 3070 = 14*p - 67*p. Solve -s + p*n = 11, 17*s - 12*s - 5*n = -15 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -2. Let c = 0 + n. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 divided by -10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -24*z**2 - 20*z + 20. Let s(m) = -5*m**2 + 297 - m - 296 + 4*m**2. What is -2*q(a) + 40*s(a)?\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**3 - 3*f**2 - 2*f - 3. Give a(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**2*g**4 + 11*a**2*g + 5*a**2 + 3*a*g + a - 8610*g**4 - 20 wrt g?\nAnswer: 36*a**2*g**2 - 103320*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-73)\/2 - -1. Let z = -4821185\/132693 - -2\/44231. Let k = f + z. Which is the second smallest value? (a) 5 (b) 3 (c) -3\/5 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3624398?\nAnswer: 2, 1812199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from boboqqbq?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38625 - 38624.6. Let g(r) = -r**2 + 1. Let y be g(-2). What is the closest to -1 in 5, y, j, 41?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-6) + (-111)\/(-6). Suppose -v + n + 242 = 0. Suppose -2*m + v = 5*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yymd when four letters picked without replacement from {y: 2, a: 1, z: 1, m: 1, t: 1, d: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-5))\/(((-231)\/110)\/7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/(c*c\/c**(-15)))\/c*c))**(2\/99)\/(c**(7\/8)\/(c\/(((c**2\/c)\/c)\/c))) assuming c is positive.\nAnswer: c**(1163\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, x: 9, o: 6}. What is prob of picking 2 r and 1 x?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 + 1)*11*(-58)\/957.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**(7\/8)*b)\/b*b\/(b\/((b\/b**(14\/9))\/b)))\/(b*b**(-11)*b*b*b\/((b**0\/b*b)\/b*b)) assuming b is positive.\nAnswer: b**(527\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 226 - 222. Put 0.3, 91, w in increasing order.\nAnswer: 0.3, w, 91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 10*d**2 + 13*d + 23. Let g be (-11)\/(-2)*(-5)\/(20\/8). Let a be u(g). Is (a - (-8)\/40)*10\/4 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182849733.\nAnswer: 3, 11, 1846967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20379?\nAnswer: 3, 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -1117*q + 1115*q + 18, y = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 - 19*z + 18. Let d be p(9). Solve 17 = -2*t + d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/3)\/c)\/c**(2\/9))\/((c*c\/c**6)\/c*c\/(c\/((c**(2\/5)\/c)\/c)))*(c\/((c**(-1\/4)\/c)\/c))**(-1\/14)*(c**0)**(-6\/29) assuming c is positive.\nAnswer: c**(17167\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6) - 1\/(-3). Let u = -10\/53 - 36\/371. Let h(w) = w**3 + 6*w**2 - 2*w - 7. Let a be h(-6). What is the biggest value in a, f, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2089613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13d - -277c?\nAnswer: 263d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 4) to base 15\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.15 - -0.150178. Round o to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1598 - 59 - 151 - 891)*(-3*j + j + 3*j + (3 + 0 - 1)*(3*j + 0 + 0)) to the form b*j + c and give b.\nAnswer: -18893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, -0.5, -4, -72, -0.9, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -952*z + 10478. Determine w(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -26) + 26 + -58 - (-2 - (82 - -1)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47972?\nAnswer: 2, 67, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2542230*d - 2542230*d + d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 18*y**2 + 18*y + 22. Let p be s(-17). What is the third derivative of -4*v - 11*v**2 + 4*v + 8*v**2 + 7*v**p wrt v?\nAnswer: 420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/230436 and 53\/665704.\nAnswer: 5991336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5))\/(-273 - (-478 + 209))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9216 and 131808.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 + 4 - 3 - 1.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/22)\/((-64)\/352))\/((-1)\/2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 - 76. Suppose 4*m - 16 = -z*b, -15 = -m - 4*b + 9*b. Let f(a) = a - 3. Give f(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-20) - (-14)\/4. Suppose -5*x + x + 7 = -g*y, x + 5 = 3*y. Suppose 0 = -y*o + 1612 - 481. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -37*x**2 - 2*x. Let v(a) = -27*a**2 + 9*a - 45. Let w(r) = r**2 - r + 5. Let c(y) = -v(y) - 9*w(y). Calculate p(c(h)).\nAnswer: -11988*h**4 - 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36048251?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 17476318.\nAnswer: 1\/17476318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 6\/5, -5\/6, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 140822. Let r(b) = 6*b. Determine r(n(a)).\nAnswer: 6*a + 844932","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 19507 (base 10) to base 5\nAnswer: 1111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81452 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 4*v**2 + 2*v - 2. Give k(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 51463.7 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-3 + (sqrt(11) - 2*sqrt(11)) + (sqrt(11) - (-1 + sqrt(1331) - sqrt(1331))) + -1)**2 - -2*(-2 + (-2 + 0 + sqrt(11))**2)) + 3.\nAnswer: -40*sqrt(11) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.069 from -88.\nAnswer: -87.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4249 + 4248.999996884. What is k rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4799931?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 3032 - 3022 = 2*q, -5*t + 20 = 0 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3884*j + 302*j - 3692*j + 1074*j.\nAnswer: -6200*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 3*h**2 - 3*h - 2. Let p be q(-4). Let k = p + 10. Let x(b) = b**2 + 3*b - 5. Let l be x(-4). Put k, l, 5 in decreasing order.\nAnswer: 5, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 930*o**4 - 442*o?\nAnswer: 11160*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = s - 12, 0 = 3*s - w - 13 + 2. Find the third derivative of 2*u**5 - 3*u**s + u**2 + 0*u**5 wrt u.\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/5, -1\/5, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -22. Sort j, -3\/7, -5 in descending order.\nAnswer: j, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 7:09 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 20376 = -25116. Is ((-1)\/(-3))\/(17\/q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + (sqrt(72) - (sqrt(72) - sqrt(72)*1) - sqrt(72)) + -1*(sqrt(72) + 0) + (sqrt(72) + sqrt(72)*-1)*6)**2.\nAnswer: -12*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 + 480*c**2 - 485*c.\nAnswer: 5*c*(c - 1)*(c + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1131 and 53940.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5929.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-41)\/(-2) + 18\/12. Suppose 5*y = l + 3*l - r, -4*y = -3*l + 17. Solve 3*c - v - 14 = 0, -l*c - 25 = 5*v - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2267\/4 - -547. Let d = -1\/20165 - -96811\/383135. Calculate the common denominator of d and u.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1241023 (base 5) to base 2.\nAnswer: -101111111000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 27\/5 of a millennium?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119947*n + 7*o = -119952*n + 7, 0 = -5*n - 11*o - 9 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.066 - -13.474. Let i = r + -13.53999449. What is i rounded to seven dps?\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/4 of a millimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14158 = 7235*s - 1566*s + 143476 - 32916 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21791 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 10\/63713?\nAnswer: 10\/63713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6441*h + 47*h**2 + 6448*h - 12889*h.\nAnswer: 47*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1670735 is divided by 383?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (45\/(-15) - (5 + 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 719\nAnswer: -4\/719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*(1 + sqrt(13)) + -5.\nAnswer: -5*sqrt(13) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22023 + -1?\nAnswer: 22022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -49. Suppose 3*s - 43 = 44. Let p = s - o. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.11 and -39750.2472?\nAnswer: 39750.3572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 68, 96, 150, 236, 360, 528?\n\"Answer: r**3 + 7*r**2 + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/63 and -32\/35.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-112)*-14*-2*(-1)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (4 - 3 - 8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 64\/5 of a century?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kq when two letters picked without replacement from qqqqqqqqqqqqqqqqqqqk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 1914*y + 123749.\nAnswer: (y + 67)*(y + 1847)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13651615 is divided by 4550527?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -21. Suppose -3*w - 3*d = -243, -w - n*d = -2*w + 51. Suppose 2*u = -5*b + w, 3*u = b + u - 8. Calculate the lowest common multiple of b and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 446105 * 0.74.\nAnswer: 330117.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -6*f + 3*f. Find the first derivative of 217*k + f*k**2 - 8 - 217*k wrt k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f. Let y(a) = -2*a**2 - 4*a**2 + 3*a**2. Let c(t) be the third derivative of -t**5\/60 - t**2. Let r(j) = -5*c(j) + 2*y(j). Calculate r(h(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 4*j**2 - 7*j - 7. Let b be g(-5). Let f = 5.5 + -5. Let d = f + -0.8. What is the closest to 1\/3 in 0.4, b, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 3*s - 2*m - 23, -3*m - 7 = s. Let j = s + 1. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5348612*y**3 + 3*y**2 + 91071*y?\nAnswer: 32091672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 12 + -7 - (-3 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4 - 2*v - v - 10*v + 11*v. Let j(p) = 26*p + 60. Let r(m) = -22*m - 50. Let d(f) = -5*j(f) - 6*r(f). What is q(d(a))?\nAnswer: -4*a + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 1488*i**3 - 772*i**3 - 686*i**3.\nAnswer: 30*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-88)\/(-2*(-3)\/(-12)). Let a = -172 + w. Let h = 32 - 28. Solve 3*b - 9 = 0, -a*y = b + 3*b + h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mymz when four letters picked without replacement from {z: 1, m: 2, u: 2, l: 2, y: 1, r: 1}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-105)\/(-14))\/(3\/(-2)) + 6. Solve 4*l + z + 17 = f, -z = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -779*h = 8532 + 46249 + 5981 for h.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 10*o. Let g(b) = 1 - 1 + b - 3*b. Let i = 20 + -6. Calculate i*g(q) + 3*v(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a year?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2329089 - 35630.\nAnswer: -35629.7670911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 - 12*d**2 - 17*d + 20. What is the hundreds digit of z(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w + w - 2*w. Let j(k) be the second derivative of 3*k + 0*k**2 + 1\/4*k**4 + 0*k**3 + 0. Determine u(j(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 j when two letters picked without replacement from {j: 1, q: 4, s: 1, r: 6, g: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 16 - 9 + 16 - 13 + 53*r to the form t + u*r and give u.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(10\/(-6) + 1). Suppose 0*v + g*v - 10 = 0. Suppose 0 = -v*l + 6 - 26, 2*l = 5*h - 183. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-2)*(-120)\/(-280).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 114989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*b - 1093 = -925 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003551475275 to seven decimal places.\nAnswer: -0.0035515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.1 in -4, 116, 0.3, -102?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**2 - 15614820*m + 29302321.\nAnswer: 4*m - 15614820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 190 = 4*b. What are the prime factors of b?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1416)\/(-102) + -4*2\/(-68). What is the highest common divisor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) -1\/2 (b) -7 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 12 - 8 - (-1 + 4)*-41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -1)*(-18)\/(-12). Let v(d) = 3*d - 3*d + d - 26*d**o + d**2. Is v(-1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -2\/13, -55, -4, -13?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 - 6*h**2 + 9*h + 1. Give j(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*g - 190 - 202 = 0 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-5 - -2 - 1) - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -2\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 66*f - 1062. Let r be l(38). Let x(o) be the first derivative of 7\/2*o**r + 22 - 6*o. What is the derivative of x(v) wrt v?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 1 - 19*y)*(5*y + 0*y - 10*y) in the form x*y**2 + l*y + z and give x.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5546 + -6?\nAnswer: -5550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.17 + -0.87. Let d = -3.7 - h. Let i = 0.11 - -0.89. Which is the nearest to 2\/5? (a) -3\/4 (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -2.1. Let w = 1.9 + l. Let p = -0.054 + 2.054. Which is the nearest to -1\/2? (a) p (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4383.9 times -965?\nAnswer: 4230463.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 42194 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 a when two letters picked without replacement from {p: 3, d: 4, v: 1, a: 6}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765 a factor of 1619096275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 3)*(4037*l**3 + 20860*l**4 - 4037*l**3) as v*l + z + q*l**4 + k*l**3 + r*l**2 and give q.\nAnswer: -20860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 6:24 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 111736 and 176?\nAnswer: 2458192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q - 28. Give t(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1368\/1140*(-40)\/(-192)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + -34)\/((-1)\/(11 - -6)).\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/24 and 8\/1557.\nAnswer: 12456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000089494 to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 79 (b) 286 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 366 = -66*w, -w + 297*b - 8 = -3*w + 293*b for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r - 3096 - 3100 - r**2 + 6184 in the form f*r + p + x*r**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*k + 61 - 25*k + 52*k)*((0 - 1 + 3)*(0 - 2*k + 0) + 6 - 6 - k + 0*k + 0*k - 2*k).\nAnswer: 7*k**2 - 427*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-40) + 54\/10. Suppose 0*k - k - x*i = 17, 0 = 5*k + 5*i - 15. Let j = k - -6. What is the smallest common multiple of j and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4482 minus -76072657749?\nAnswer: 76072653267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 0 + 5*y + 0*y**2 - 1\/12*y**4 - 1\/3*y**3 + 1\/20*y**5. Suppose i(a) = 0. What is a?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 48648\nAnswer: -243240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31.524 + -27.524. Let h = -1.5 - -2. What is the nearest to 0 in j, h, -11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 - 208 = -149*l + 457. What is the fifth smallest value in -4, -0.5, -82, l, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5199, -9, 14, -0.07, -5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 8. Let s be 0 + r + 1 + -1. Let x(v) = -v**3 + 4*v**2 + 2. What is the tens digit of x(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 + 711 = -38*k + 136 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30034455?\nAnswer: 3, 5, 11, 182027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjtthhttjttyy. What is prob of picking 1 y and 2 t?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 930 and 279.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 10. Let r(h) = -3*h + 22. Give 10*p(w) + 4*r(w).\nAnswer: -2*w - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/66957 in 2\/3, 2, 1\/5, 13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 649585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -152450 times 7?\nAnswer: -1067150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4 - 126*v**3 - 702*v**2 - 1034*v - 456 = 0.\nAnswer: -57, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -10*o**2 - 5*o + 3. Let t(j) = -5*j**2 - 3*j + 2. Let q(p) = 3*f(p) - 5*t(p). Find the first derivative of q(i) wrt i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2 + 1\/4*y**2 - 5\/4*y.\nAnswer: (y - 6)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1386.6 + 1387. What is the third smallest value in l, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18736123*w**2 - 2 - 18736140*w**2 + 2.\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 3*j, -3*j = -3*c + 5 - 29 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6597*a**2 - 13265*a + 138. Calculate g(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 4*i + 6. Determine w(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5855027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73123, 146256, 219395, 292540, 365691, 438848?\nAnswer: 512011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*c - 0, 3*b - 9 = 3*c. Suppose -3*n + 9 = -b. Suppose -18 = -2*l - 5*f, -n*l + 3*f = f - 8. Solve 10 = 2*d + l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 7*h - 9. Let p be i(-6). Let m be (7\/(-2) + p)*-16. Suppose 52 = y - 0*c + c, -2*y + m = 3*c. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q + 34 + 18*q**2 - 5*q**2 - 12*q**2 as m + r*q**2 + l*q and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1671725 is divided by 151920.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*o + 19062 = -21330. List the prime factors of o.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2464*d**3*j*k**2 + 225*d**3*j - 5487*d**3 + 79*d*k**2 wrt j.\nAnswer: -2464*d**3*k**2 + 225*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 3*u + 9 = 17, -325 = 61*k - u - 4*u - 0*u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 625244 + -2502?\nAnswer: 622442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - 15*z + 38)*(-22 - 4 + 6 - z).\nAnswer: 15*z**2 + 300*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 532 = x - 300. Suppose -2*z + x = -690. What are the prime factors of z?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 - 2)*(-1581 + 1581 - 54*d**4) to the form u*d**2 + y*d**3 + w*d**4 + g*d + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2523*x. Let v(q) = 93*q**2 - 2. Give v(h(d)).\nAnswer: 591994197*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -149 + 149. Let k be (h - -2) + 4 + (-35)\/11. Is k at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 4:51 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 514 by -9.\nAnswer: -514\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 132767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2303 (base 4) to base 14\nAnswer: -cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 23, 6.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -96.7026 and -0.7.\nAnswer: -97.4026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000043846 rounded to 6 dps?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*b = 0. Suppose 0 = -b*k + 4*k + 8. Let t(z) = z**3 - 6*z**2 - 5*z - 10. Let o be t(7). Sort o, k, -1 in ascending order.\nAnswer: k, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 389108 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*o + (-9*o + 19*o + 12*o)*(-11 + 5 - 1)*(-3 - 4 + 6).\nAnswer: 156*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 194065385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y - 4. Let r be k(8). Suppose m = -m + r. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.98611 - -1.\nAnswer: -1.98611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 3 + 3 + (-5*t + 2*t + 2*t)*(-1 + 2 + 1) + (9*t + 5*t + 68*t)*(2 + 4 - 2))*(2*t**3 + 2*t**3 - 2*t**3).\nAnswer: 654*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2034, -1, -24\/5 in decreasing order.\nAnswer: -0.4, -1, -24\/5, -2034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*v - 30*v + 438. Solve 2*c + 22 = -2*u + v, 5*c = -4*u - 37 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239257 + 2*o**3 - 239257.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 4*f = 5*o + 47, -163134 = f - 4*o - 163145 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-210))\/((-1)\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 136.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13)\/(-39)*(-6)\/(-2). Let q be u\/(2\/(-10)*-1). Let t be (18\/(-3))\/3*2. Sort t, q, -10 in decreasing order.\nAnswer: q, t, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 300967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1112090 and 14.\nAnswer: 1112090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10192 - 43498 = -21*l. List the prime factors of l.\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, j: 16}. Give prob of picking 2 j and 2 u.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 167 + 200 - 35*b**2 - b - 321 wrt b?\nAnswer: -70*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/24 and -59\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -273361\/30660 + -2\/2555. What is the common denominator of 115\/36 and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8734? (a) 11 (b) 42 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58087064.\nAnswer: 2, 7, 811, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9 and 396631542?\nAnswer: 396631551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zokzeeov. What is prob of picking 2 o and 1 v?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 723*i = -573*i + 1674*i + 11718 for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -19*l**2 - 6 - 38*l + 15*l - 20 + 6*l**3 + 6. Let d be f(-10). What is d rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y**2 - y + 1. Let c(h) = -4*h**2 + h - 2. Determine -2*c(l) - 3*j(l).\nAnswer: -7*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**4*u + 32*b**2*m**2 + 4*b*m**2*u - 19*b*m - 4*u wrt b?\nAnswer: 24*b**2*u + 64*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -103 - -111. Is (-4*(-16838)\/s)\/(-3 + 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1314229 to the power of 1\/2, to the nearest integer?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 8*t**2 - t + 2. Calculate the least common multiple of v(1) and ((-30)\/8)\/((-39)\/156).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 0*1\/4. Let l = 0 + i. Suppose -m - 3*h + 7 - 2 = 0, l*h - 20 = -4*m. Calculate the remainder when 9 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -663 + 1949\/3. Find the common denominator of 105\/27*(-8)\/(-20) and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 1\/12*u**4 - 1\/60*u**6 + 0 - 11\/60*u**5 + 0*u + 58\/3*u**3 + 13*u**2. Find the second derivative of n(l) wrt l.\nAnswer: -12*l - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 19*t + 143. Determine x(-10).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 7 - 3. Put -8, d, -1 in decreasing order.\nAnswer: d, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*r - 4190, 4041 = 3*s + r - 148. Calculate the remainder when s is divided by 65.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**3 - 5*v**3 + 3*v**3 + (2*v**3 + 0*v**3 - v**3)*(-4 + 4 - 1) + (-v + 4 - 4)*(-3*v**2 - v**2 + 2*v**2).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 77 and -0.2?\nAnswer: -15.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - m**2 + 215. Let i be y(0). What are the prime factors of i\/2*26\/65?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -4, 0.9748, 3, 60?\nAnswer: 0.9748","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b + 2*b**3 - 3*b + (-3*b - 2*b + 0*b)*(b**2 - 2*b**2 - b**2) in the form v*b**2 + r + j*b**3 + l*b and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 - 112 = 5*g. Let q = 203 - 84. Calculate the remainder when q is divided by (g\/6 + 0)\/(82\/(-123)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 535 and 3103.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 21239 * 4\nAnswer: 84956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4876832 by -1219208.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-14)\/(v\/v**(14\/9)))**31)**(-6\/11) assuming v is positive.\nAnswer: v**(682\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 635*u**2 + 5*u - 4*u**3 - 457 - 5*u + 457 - 632*u**2 + 15*u**3.\nAnswer: 11*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*(c\/(c\/c**(-3\/7)*c*c))\/c)\/c*c)\/c)**44)**42 assuming c is positive.\nAnswer: c**(-6336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 6. Let n be i(9). Is 15 a factor of (-1)\/((-4)\/20)*n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21900 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8*o**2 - 5*o - 2. Let q(i) = 21*i - i**2 - 13*i + 1 - 9*i. Let l(r) = -5*q(r) + z(r). Differentiate l(c) wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 690 + 19.\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -326*d**3*k - 176*d**2 - 2*d*k wrt d.\nAnswer: -1956*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 193876 and 54891?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -11?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/5*10\/4. Let s(m) = -6*m**3 + 2*m**2 + 2. Let c(g) = g**3 - g - 1. Determine j*s(f) + 2*c(f).\nAnswer: -4*f**3 + 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-3 - (-10)\/4)*(59 + -81).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*h**2 + 3859456*h + 243132063 wrt h.\nAnswer: -18*h + 3859456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*h**3 - 65*h**3 + 152*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - 251520?\nAnswer: -251454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4871 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -524 + 491. Let g(t) = -t - 26. Let l be g(o). Solve 5*n = 4*u - 1, 2*n - 11 = -3*u + l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 706\/5*30\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/5, 4\/7 in descending order.\nAnswer: 4\/7, 0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2780000 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -2\/7*h**3 + 36 + 0*h + 31\/28*h**4 + 0*h**2 + 11\/35*h**5. Factor j(a).\nAnswer: a**2*(a + 3)*(11*a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r = 0, 0 = y - 5*r - 3. Suppose y*u - 52 = 23. What is the greatest common factor of u and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0143? (a) -2\/13 (b) -5 (c) 53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v + 14 - 17*v + 29*v)*(-v + 5*v - 5*v)*((0 + 2 + 0)*(-4 + 4*v + 4) + 2 - 2 - v) to t*v**2 + h + p*v**3 + q*v and give t.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*4*sqrt(11).\nAnswer: 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-40))\/(1\/(-15))*1260\/(-135)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 35 = -5*p. Suppose -n + 2 = u, 3*u - p*u = 5*n - 8. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47733896.\nAnswer: 2, 7, 852391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 31*n. Let k = 10 + 1. Suppose 2*y + k = y. Let l(o) = -6*o. Let i(t) = y*l(t) - 2*d(t). Let p(g) = -g. Determine p(i(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (47*j - 25*j - 25*j)*(4 - 14 + 2) in the form q + i*j and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.7 + 0.3. Let z = -1 + i. Let o = 814 - 2443\/3. Which is the biggest value? (a) o (b) z (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -5 - 3) + (120 - 107) + -1 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 12:43 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 1:30 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1423 (b) 2\/9 (c) 1\/8 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - p + 18 = -0*p, -4*y = p - 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 693 divide 78118436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1265, -2215, -3165, -4115, -5065?\nAnswer: -6015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/15, -0.1 in descending order.\nAnswer: 2\/15, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 312*g**3 + 10*g - 5. Does 93 divide a(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from schvhskvkckvsa. What is prob of picking 2 s and 2 k?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/5 (b) 0.9 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 819 by 3.\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17351.\nAnswer: 17351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.63 - -27.77. Let z = -30 + v. Sort z, -47, 0.3 in descending order.\nAnswer: z, 0.3, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 532582693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 209674777?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 219 + (0 - 1) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and 1.1.\nAnswer: -0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/18 + (-1292)\/18. Let m be 1*-1*n\/(-12). Let x be (-4 - 29)*4\/m. Solve 4*q - x = -5*s, 0 = 2*q - 3*s + 2*s - 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**3 - 3*f**3 - 2*f**3 + (0*f + 5*f + 3*f)*(-f**2 - f + f) + 18 - 18 + 3*f**3 + (-f - 5 + 5)*(-f**2 + 3*f - 3*f).\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211113003 + 1013?\nAnswer: -211111330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 34810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11100 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = -0*o + o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**2 - 210*m + 9315 = 0.\nAnswer: -69, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -2*b**9\/63 + b**5\/15 + 2*b**2. What is the third derivative of v(s) wrt s?\nAnswer: -1920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -8*x**2 + 1\/3*x**3 + 0*x + 0 - 1\/24*x**4 + 1\/15*x**5. List the prime factors of j(3).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(3\/5)\/v*v)**(-3\/31) assuming v is positive.\nAnswer: v**(-24\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 9:12 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yllvvvvvyvvv. What is prob of picking 1 v and 1 l?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24489 - 24485. Which is the nearest to 1? (a) 3\/2 (b) m (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*l**3 - 3*l + 3*l - 21*l**3.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-256)\/(-832))\/((63\/78)\/(-3))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1890334 is divided by 30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17603 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 4*r - 20, -62*r + 61*r = 2*t - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjcococcocjpjoo. What is prob of sequence po?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + sqrt(3) + 1*(-1*sqrt(3))**2.\nAnswer: sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 808*l + 3990.\nAnswer: 2*(l + 5)*(l + 399)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 + 4*w - 4*w + (w - 2 + 2)*(-1 + 1 + 2*w**3) + 3*w**4 - 4*w**4 - w**4)*(151 - 150*w - 151).\nAnswer: -150*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07253 rounded to three decimal places?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 8*g - 37. Let i be c(5). Solve 7 = -l + i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*f**3 + 31 - 31 - 14245*f**2 + 14248*f**2.\nAnswer: -81*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 12:00 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a hour in seconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*b = 6*m - 122, 0 = 5*m + 5*b - 95. What is the highest common factor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 + 56 + (-2 - -5 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -11. Let v(d) = -3*d**3 + 5*d**2 + 9*d - 4. Let u(n) = -2*n**3 + 6*n**2 + 9*n - 4. Let i(j) = -4*u(j) + 3*v(j). List the prime factors of i(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 2:25 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591782152?\nAnswer: 2, 13, 5690213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 11 = -10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9129 and 255?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + (sqrt(228)*1*-6)\/((-1*sqrt(120))\/sqrt(10)))**2.\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 287.0572ng in kilograms?\nAnswer: 0.0000000002870572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -2, -0.3, -0.2, -3449198?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*c + 47296 = 0, -4*o + 6*c - 37835 = c. Let f = -189263\/20 - o. Calculate the common denominator of -1 - (5 - (-5)\/(-16)) and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 2*g + 20 = 0. What is the remainder when 9 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -35*w - 2. What are the prime factors of p(-1)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/9, 3, 0.22?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.03 + -0.03. Let k = -908\/4005 - -2\/445. Let x = 16287 + -16290. Which is the nearest to 12? (a) k (b) x (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/20 and 103\/73238?\nAnswer: 732380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-one quarters of a century?\nAnswer: 18300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x. Let n(w) = -2. Let p(t) = 3 - 3*t + 4 + 12*t - 8*t. Let z(d) = -14*n(d) - 4*p(d). Calculate i(z(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -41)\/((-387)\/(-258)). Solve 34*i = h*i - 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000100100001 (base 2) in base 5?\nAnswer: 120020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37564 by -171.\nAnswer: 37564\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85147 by -708.\nAnswer: 85147\/708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l*l**1)\/l))**(-5\/8)\/(l**(-2)*l**(4\/3)) assuming l is positive.\nAnswer: l**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -104025 + -2?\nAnswer: -104030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18038766 and 6?\nAnswer: 18038766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -1\/24*a**4 + 0*a + 1\/6*a**3 - 6*a**2 + 0. Let v be (0 - 1) + 0\/(-1). Let k(t) = 10*t - 10. Give v*k(j) - 12*s(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*o - 5*m - 77, 5*o - 58 = -3*m. Let s be 270\/20 - (-1 + 1). Which is bigger: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 14*v - 1. Let w(h) = h - 31. Let p(a) = s(a) - 3*w(a). Give p(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -1369\/3*j**3 + 38 - 4*j + 74*j**2. Solve s(k) = 0.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2383\/4 - 596. Which is the third smallest value? (a) -2\/195 (b) l (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/12 and -9\/2106166.\nAnswer: 12636996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 4*x**2 + 10*x + 12. Suppose 5*i + 0*i = 465. What is the remainder when i is divided by k(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s - 7. Let o be p(14). Let u = o - -114. What is the remainder when 70 is divided by u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*r + 13 = 0, 4*r + 8 = w + w. Suppose -d - 48 = -l, -d - 2*d = -w*l + 94. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 199*i - 202*i. Let h(n) = -4*n - 5. Let t(z) = -5*z - 3. Let f(q) = i*h(q) - 3*t(q). Suppose 2*b - 3 = -1. Determine f(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 8*s**4 + 549*s**3 + 264*s**2 - 5276*s - 7344 = 0.\nAnswer: -68, -2, 27\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-12)\/15 - -1). Solve -1 - 14 = -o*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x**3 + 546*x**2 - 26136*x - 17664 = 0. What is x?\nAnswer: -92, -2\/3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-20\/3)*a)\/(a*a**(2\/33)*a)*(a**(-3\/13))**(-16) assuming a is positive.\nAnswer: a**(-577\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((1*sqrt(242))**2 - sqrt(242) - sqrt(242)) + 1) + -2 + -1 + sqrt(242) + -3.\nAnswer: -121*sqrt(2) + 1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnuunu. What is prob of sequence nnu?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 j, and 1 d when three letters picked without replacement from {d: 1, g: 4, i: 1, c: 4, j: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3380340 = -2*v - d + 3380330, -22*v = -5*d - 106 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44 + -26?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/((sqrt(9) + sqrt(18)\/sqrt(2) + sqrt(9))*6).\nAnswer: sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**3\/21 - 2165080*m**2\/21 + 586009208074*m\/21 - 33981251129396\/21 = 0?\nAnswer: 58, 541241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**3 + 2 - 2*d - d**2 - 1\/4*d**4. What is the remainder when 10 is divided by x(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1382160*u**6 + 2*u**4 - 587*u**2 - 100592*u wrt u.\nAnswer: -165859200*u**3 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 21*k**2 - 1452*k + 30514. What is m(21)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*h**3 - 12*h**3 - 21*h**4 + 7*h**4 + (-h**2 + 3*h**2 - h**2)*(-100 + 17*h**2 + 100) + (-2*h**2 + 3*h**2 + h**2)*(h**2 - 2 + 2).\nAnswer: 5*h**4 - h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 12*i**2 + 8*i + 14. Give z(-2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 0 + 2*r**2 - 11\/6*r**3 + 13*r. Find the first derivative of q(o) wrt o.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4 - 40*m**3 + 144*m**2 - 152*m + 52.\nAnswer: -4*(m - 1)**3*(m + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2394*f**2 - 2616*f**2 - f + 5200*f**2.\nAnswer: 190*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*k - 141, 2*k = -4*s + 8*s + 108. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44207399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -15385.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -12*x + 2*c, -2*x - 25 = 45*c - 40*c for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**2 + 3*o + 1. Let b(h) = -9*h**2 + 7*h + 3. Let k be 6\/4 - 1\/(-2) - 0. What is k*b(v) - 5*x(v)?\nAnswer: 2*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33174 and 13326733?\nAnswer: 1843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 9*b**8\/112 + b**5\/3 - 25*b**2\/2 - 21. Let h(u) be the second derivative of c(u). Find the third derivative of h(r) wrt r.\nAnswer: 1620*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**5\/30 - 3*i**2. Let l(w) = 0*w - 2*w - 5*w. What is l(d(v))?\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -12?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(2695\/(-84)))\/((-300)\/(-3375)).\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -1774 in decreasing order.\nAnswer: -2, -4, -1774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 24*q**2. Let t(i) = 37*i**2. Give t(z(f)).\nAnswer: 21312*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (10 - 25) - 38) + -13.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-1 - 1 + 0)*(-9 - 16 + 11)*(-5*x + x + 3*x).\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32168 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5577 and 3564.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.160393 - -18\nAnswer: 18.160393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7051977 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 + -0.16. Let r = -0.3 - y. Put 2\/7, r, -2\/3 in increasing order.\nAnswer: -2\/3, r, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16 + 1)\/(220\/70 + -3). Factor 286 - 450*c + 65*c**2 + n + 26*c**2 + 34*c**2.\nAnswer: 5*(5*c - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 348.5 - 349. Which is the nearest to -1\/3? (a) -1\/3 (b) -1\/4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2043744 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3280 divided by 3280?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 17. Let n = 5.4 - i. Let f(h) = 2*h**3 - 49*h**2 + 70*h - 20. Let l be f(23). What is the closest to -0.4 in -1\/2, n, l?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4933865?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f + 17*f - 234 = 0. Let d be (16\/f)\/((-24)\/(-36)). Solve k + 4*b - 9 + 2 = 0, 2*k + 3*b - d = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + 1270*r + 8. Determine z(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 1 = 4*k, y - k = 253. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from hiiiihhnxhhhxxi?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3640*x = -3628*x - 207444. List the prime factors of x.\nAnswer: 59, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2490756, -2\/3, -1?\nAnswer: -2490756","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 11. Suppose -4*y - z*c = 12, -c + 4 - 9 = 0. Calculate the common denominator of -123\/10 and (339\/90)\/(y\/6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 1173. Let y be q(0). Let d = y + -2443. Round d to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710394 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/4, -18, 0, -231, 1.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*(-2)\/4)\/(5\/160). Calculate the common denominator of (-98)\/r - (-24)\/(-36) and 41\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28701056\/3 or -9567019?\nAnswer: -9567019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59882000.\nAnswer: 2, 5, 79, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h + 2. Let j(a) = -3*a + 24 - 31 - a**2 - 4*a. Let b be j(-7). Is k(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299 + 305 - 604 - 130*o**2.\nAnswer: -130*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*h = 656 + 1294 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 84947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -15. Calculate the remainder when (-2)\/1 - (-37 - f) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(-7\/4))*y)\/y**(-29))\/((y\/y**(3\/17))\/(y\/(y*y\/y**(3\/8)))) assuming y is positive.\nAnswer: y**(3645\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(500) + 1 + sqrt(500))*4)**2.\nAnswer: -640*sqrt(5) + 32016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 2*h**5\/5 + h**4\/3 + 8*h. Find the third derivative of j(c) wrt c.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (247\/(1329354\/(-276)))\/(72\/(-13)).\nAnswer: 1\/108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11595, -3, 0, 1 in descending order.\nAnswer: 11595, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + d - 1265 = 0, 2107 = 5*s - 12*d + 14*d. Is s at least 422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -626279, -626265, -626245, -626219, -626187, -626149?\nAnswer: -626105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 3. Let d be 4\/5 - 384\/180. Let f = 6 + -6.3. Sort d, f, w in ascending order.\nAnswer: d, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-75)\/90 - (-266)\/252. What is the fifth biggest value in 4\/5, 22, 0.04, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, l: 3, i: 3, z: 6, j: 3}. What is prob of picking 1 z and 1 i?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 924, 934, 958, 1002, 1072, 1174?\n\"Answer: r**3 + r**2 + 922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2673, 5345, 8101, 10977, 14009?\nAnswer: 17233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32.289 and 0.2.\nAnswer: 6.4578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -1260*f. Let p(l) = 501*l - 1 - 253*l - 247*l + 1. Give p(x(a)).\nAnswer: -1260*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (1\/3)\/((-3)\/(-99))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.6. Let o be (-18)\/63 + (-647)\/(-84). Let n = o + -27\/4. What is the biggest value in -5, m, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/2175 and 14\/1125.\nAnswer: 32625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -223\/5 - -45. Suppose 0 = -6*o + 5 + 13. Which is the closest to z? (a) 0 (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25\/4 of a micrometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 323227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*m + 6 - 0, 3*s = -3*m + 9. Solve -2*a + 5 = s*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57942060*j**4 + 175567014*j.\nAnswer: 695304720*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 10*y = -6*y + 336. What is the remainder when (-525)\/(-12) + (-1)\/(-4) is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 0. Suppose 31 = -4*d + t. Let p = d - -17. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 873607207.\nAnswer: 11, 79418837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 37079.6 to the nearest 1000.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + t - 12, 3*k - 4 = -2*t - 13 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 78*g**3 + 2*g**4 + 81*g**3 - 3*g**4 - 2*g as h*g**4 + q + d*g + p*g**3 + k*g**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -1, -9, 43 in decreasing order.\nAnswer: 43, -1, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5610 - 3241. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4381?\nAnswer: 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11d (base 15) in base 3?\nAnswer: 100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 0 - 3*h - 1\/7*h**2 - 4\/21*h**3 - 1\/14*h**4. Factor s(b).\nAnswer: -2*(b + 1)*(3*b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 10:10 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6 + 24*d - 3*d**4 - 24*d with respect to d.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -17*v**2 + 67*v + 12. Give h(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9090331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 139160 and 545?\nAnswer: 15168440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514760344?\nAnswer: 2, 7, 9192149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 5891094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(208) + 0 - (sqrt(208) - (5 + sqrt(208)*-2 + sqrt(208)))) + 0 + 4 + 2*sqrt(208) + 2 + sqrt(208) + -5 + 3)**2.\nAnswer: 144*sqrt(13) + 913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91172 is divided by 67?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2 = 3. Let j be (d\/4)\/(2\/16). Solve -j*z - 2*z - 8 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -22, 115, -1 in ascending order.\nAnswer: -22, -1, 4, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 5*p + 4. Determine u(4).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2518619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 16 = -3*q, 2*q = -h - 4*h + 13. Solve 0 = -t + 5*i + 2, -3*t + q*i - 3 - 2 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*m = -57*m - 96 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.82 to 0 dps.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 48 + 30. Suppose -4 = -r*k + 15*k. Which is smaller: -5 or k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4304223 (base 5) to base 4.\nAnswer: -101223312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.031 + -0.031. Which is the nearest to -1\/22? (a) d (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -7. Let l(n) = -2*n**2 + 4*n - 10. Let s be l(4). Let k = -261\/10 - s. Sort y, k, -1 in increasing order.\nAnswer: -1, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -9*s - 87. Let r be u(-9). Let i(v) = v**3 + 8*v**2 + 3*v - 10. What is the remainder when i(r) is divided by (-151)\/(-9) - 4\/(-18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/(30\/135).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 7:02 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 5, 35 in descending order.\nAnswer: 35, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert d13f3 (base 16) to base 9.\nAnswer: 1545615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-4)\/(-6) - 3. Let s be (2 + -1)\/(m\/(-35)). Suppose d + 0 = s. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.8 - -3.2. Let n = s - 17.00003. What is n rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314 - 623 + 309 - u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -1\/1470*i**7 + 7*i + 4*i**2 - 13\/70*i**5 - 25\/42*i**3 + 19\/42*i**4 + 0 + 1\/30*i**6. Factor t(q).\nAnswer: -(q - 25)*(q - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 - 52090*x - 1562500\/3.\nAnswer: -2*(x + 10)*(x + 78125)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 not equal to 247\/136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/6*(34272\/(-192) + 177)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -598.3448 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/(13 - 10 - -3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millennium in months?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2164595 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4))\/(2\/4). Suppose l + i + c = 5, -3*l + 3*i + 12 = 0. Find the third derivative of 2*r**l + 0*r**2 - r**4 - r**2 wrt r.\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 50694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 61333999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-176)\/(-792))\/(((-6)\/(-9))\/1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen quarters of a day?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*(2*(sqrt(3) + -4*sqrt(3)) - sqrt(3))*1)**2 + 5.\nAnswer: 5297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1008582107.\nAnswer: 13, 107, 725077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12984 to three dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/197831 or 3?\nAnswer: 2\/197831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 15) in base 13?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -19)\/((-3)\/102*2). Let y = l - -435. Is 23 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2)*g\/(g*(g*g*g**(-3\/5))\/g))**5 assuming g is positive.\nAnswer: g**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4165.202l?\nAnswer: 4165202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 - 34*l**2 + 8*l**2 + 13*l**2.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**6 - 1439*k**2 - 3*k**3 + 8*k**3 - 10*k**6 + 1181*k**2 wrt k.\nAnswer: -1080*k**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/(14\/(-42))*3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*k**4 - 15*k**3 + 19876*k**2 wrt k.\nAnswer: 264*k - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 5*g + 0 + 4*g**2 - 1\/3*g**4 - 2\/3*g**3. Determine b so that m(b) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a (base 11) to base 4.\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/(-5) - 24\/60. Calculate the remainder when (-54)\/((-7)\/((-21)\/q)) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 22*o**2 - 68*o - 27. What is u(25)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + -26. Let l = t + -7. Calculate the smallest common multiple of 14 and l.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1212527.\nAnswer: 37, 32771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -907*u**2 + 16*u - 11. Let n(o) = -3*o + 2. Calculate j(c) + 6*n(c).\nAnswer: -907*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -0.4, -1.35?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**3 + 27*n**2 - 10*n + 8. What is the tens digit of o(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 2:46 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -7. What is the remainder when r is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -13*l**2 + 23*l + 17. Differentiate t(c) wrt c.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dzdzldzzduduluuuuuu. What is prob of sequence lzul?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(6\/5)*h\/(h*h*h**(-2)\/h))\/(h*h**2)**(4\/3) assuming h is positive.\nAnswer: h**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 245638 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 y when three letters picked without replacement from ywuuywme.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 823775 is divided by 411615?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 74755.98 months?\nAnswer: 6.229665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 170 - -15?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**5\/60 - a**4\/24 + a**3 - 6*a**2. Give g(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b - 3. Suppose 2*w - 2 - 2 = 0. Let n(m) = 9*m - 15 + 31*m - 15*m. Let l(v) = w*n(v) - 11*o(v). Find the first derivative of l(i) wrt i.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 486*r - 482*r, 3*t + 5*r - 293 = 0. Solve t*l - 10 = 103*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*f**5 - 468*f**4 + 420*f**3 + 51908*f**2 - 12996*f = 0. Calculate f.\nAnswer: -9, 0, 1\/4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43385 - -76241. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.52 * -0.1\nAnswer: 1.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87366 is divided by 657.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -459 and 2.4709?\nAnswer: -1134.1431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 3*c + 2055. What is the common denominator of -27\/16 and c\/(-36) + (-2)\/(-8)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1029704.92 to the nearest one hundred.\nAnswer: -1029700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3690 and 381413898.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1636 - 2329.5. Let c = 693 + t. Sort 159, c, -3\/7 in decreasing order.\nAnswer: 159, -3\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -0.3, 0.061, 4?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 239334111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 45992 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + o**2 - 1. Let b(i) = 238*i**3 + 136*i**2 - 136. Calculate 3*b(a) - 408*f(a).\nAnswer: 306*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-10)*(4225\/(-390) - (-18 - (-618)\/36)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w**2 + 10*w. Let f(p) = -5*p**2 - 8*p. Let z(l) = -5*f(l) - 4*o(l). Let v(k) = k + 11*k + 0*k. Give z(v(s)).\nAnswer: 144*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d + 25. Let n be z(4). Calculate the greatest common divisor of 164 and n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a219 (base 16) to base 7.\nAnswer: 231661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcx when three letters picked without replacement from cuxcxxuuuxcwwwuxx.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 17*u - 21*u. Suppose 15 = 4*w + u. Let h(i) = 4*i + 8*i - 14*i - w*i**2 - i**2. Determine h(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059 times -1?\nAnswer: -1059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 29063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -7\/391260, 14, -4?\nAnswer: -7\/391260","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 343 - 1?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -8\/2171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 261, 524, 787, 1050?\n\"Answer: 263*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44300 + -25946. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 59*i - 56*i - 1189, 0 = -2*h - 2. What is the highest common divisor of 1276 and i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2469, -9850, -22155, -39390, -61561, -88674, -120735, -157750?\nAnswer: -199725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 308?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 (base 5) in base 3?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1403 - 1368 - (50 + -4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 393918 from -0.1.\nAnswer: -393918.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by 1792077\nAnswer: -34\/1792077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (16 - 26 - 7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ziziii. What is prob of sequence ii?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 1 - 3 = 0. Let u(p) = 3*p**2 - 4*p**c - 5*p**2 - 10*p + 5*p**2 + 9. Let w be u(-9). Solve -2*z - w = -0*h + 4*h, 5*h - 3*z + 17 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -1\/42*o**3 + 1\/1470*o**7 + o - 1\/84*o**4 + 0*o**5 + 1\/420*o**6 + 0 + 13*o**2. Solve r(q) = 0 for q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*w + 44. Let v be (-55)\/w + 2\/6. Solve 3*a + 9 = m, 0 = v*a - 3*m + 12 - 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((33\/6)\/(-11))\/((-1)\/(-6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - x = 28, 5*x = 4*d + 2*x - 20. Suppose 2*i + 0*y + y = 128, -d = 4*y. Suppose 0*n - 2*u = -n + i, 2*n - 134 = 2*u. List the prime factors of n.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 5:50 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1349570 is divided by 22124?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-8)*(-118)\/(-531)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3)\/u)**(-8\/13)\/(u**5*u**(-9)) assuming u is positive.\nAnswer: u**(172\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*w - 199*w + 36*w to the form t + x*w and give x.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 22426.446 months?\nAnswer: 186.88705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -40.4 and -13531?\nAnswer: 13490.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 18. Suppose 0 = -r*y + 22*y - 395. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 316563*c*j + 21878651*c + 14*j wrt j.\nAnswer: 316563*c + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -449, -473, -525, -623, -785, -1029?\nAnswer: -1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7740650000 to the nearest one million.\nAnswer: 7741000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, -3\/2, 5, 0, -0.2, 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 3\/((-595)\/(-295) - 2).\nAnswer: 7788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 46?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21707703*c**2 - 121*c - 137489 wrt c.\nAnswer: -43415406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*b + 650*b - 33108 + 7383 = 0 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 24 = -3. Let j = c - 9. Suppose j = v - 1 - 0. Which is smaller: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-90)*3*(-5)\/2. What is the second smallest value in u, -0.07, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 10, 24186 in decreasing order.\nAnswer: 24186, 11, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**3\/6 - 2*x + 13. Let d(j) = j. Suppose 5*c - 3 = -18. What is c*d(h) - y(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 3*m + 52. What is the smallest common multiple of x(-7) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-13) + (-660)\/(-65) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s**2 + 14*s + 15. Let w be p(-1). Are w and -40\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.4 + -5.77. Let d = 0.37055 + h. What is d rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -679 = -18*x - 571 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (288\/720)\/(2\/20). Solve b = -3*p - z, 14*p - 19*p - 16 = 4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 535 (base 11) to base 14.\nAnswer: 33d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 145.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 59, 150, 287, 476, 723, 1034, 1415?\nAnswer: 1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5487\/31540 or -1?\nAnswer: -5487\/31540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1869374, -1869377, -1869380?\n\"Answer: -3*r - 1869371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2637515 is divided by 714.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1018535?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -15?\nAnswer: -16\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q**2 - q - 1. Let u be g(-1). Let x = u - -9. Suppose -s - x = -4. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4441030 bigger than -4441077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 3\/(-9 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -2\/11, 220?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -587 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*j + 175 = -264 - 371 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*s + 3738 - 93. Is 42 a factor of 324\/s*(1 + (-237)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16, 44, 0.1, 0.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -21712842.46 to the nearest 100000.\nAnswer: -21700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -17518 divided by -2?\nAnswer: 8759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*p**5\/4 - 731*p**4\/2 - 549*p**3 + 6617*p**2\/2 + 13203*p\/4 - 171 = 0. Calculate p.\nAnswer: -3, -1, 4\/81, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 - 3630.\nAnswer: -3504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 10382705*h - 31148070.\nAnswer: -5*(h - 2076538)*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1105, 1107, 1109?\nAnswer: 1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 8, -1, 1\/7.\nAnswer: -1, -0.5, 1\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-874)\/171*108\/(-24)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**2 + 282*x - 6627 = 0 for x.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-1)\/28*(4\/(-4))\/(60\/72)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 1\/43888979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 186\/7, 77290, -2, -0.2?\nAnswer: 186\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -29. Suppose o - 5*j = -u*o + 10, -3*o + 6 = -2*j. What is the third derivative of -11*i**o - 1 + 4*i**3 + 1 - 11*i**3 wrt i?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (-5 + ((-2)\/(-3) - (-3443)\/(-3))). Solve -1154*p = -k*p + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 25407*f**2 - 25392*f**2 - 45 + 84.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 23206?\nAnswer: 23207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/3? (a) -0.01 (b) 2677 (c) -6 (d) 2 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*j + 36 = 2*j, -3*j - 6 = w. Let g be (-12)\/72 + 19\/w. Factor 6\/5*z**2 - 4\/5*z + 0 - 2\/5*z**4 + 0*z**g.\nAnswer: -2*z*(z - 1)**2*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 284, 559, 846, 1151, 1480?\n\"Answer: r**3 + 268*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**2 - 11*t - 134. Let m be n(-8). Calculate the greatest common factor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvm when three letters picked without replacement from {m: 1, z: 5, s: 3, v: 7}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 85, 176, 301?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 33346.\nAnswer: 166730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvpvppvupvuv. What is prob of picking 1 v and 1 u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -422676000 rounded to the nearest one million?\nAnswer: -423000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/702 and 8\/117?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8133194 is divided by 124.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/9*d**3 + 232\/9*d**2 + 0 + 0*d = 0.\nAnswer: -116, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*x**3 - 84*x**3 + 41*x**3 - 2*x**3 - 2 + 2 + (-1 - 3 + 2)*(3*x - 2*x - 2*x)*(-4*x + 3*x - x)*(0*x - x + 0*x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-23)*f)\/f*f*f**(-4\/3)*f assuming f is positive.\nAnswer: f**(74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1964.186 + -1427655.03\nAnswer: -1429619.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.011 and 0.17?\nAnswer: 0.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -256, -209, -162, -115?\n\"Answer: 47*s - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 8*w - 1. Is i(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 202 - 193. Calculate the least common multiple of b and 39.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) -2.4 (c) -1\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 8 (b) -55 (c) -5 (d) -4 (e) 5\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -949\/4 + 238. Sort o, 2\/5, 4 in increasing order.\nAnswer: 2\/5, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/25)*c*c**(2\/73)\/c*(((c*c*(c*c**(1\/18))\/c*c)\/c)\/c)**49)**42 assuming c is positive.\nAnswer: c**(11936617\/5475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*v + 271*v + 54 = 0 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of u**4\/4 + u**3 - 3*u**2\/2 + u - 460. What is b(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.7529 + -2.7529. Is 3468 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -13*g**3 - 5*g**2 - 8. Let d(c) = -c**3 - c**2. Let b(f) = 5*d(f) - r(f). Differentiate b(o) wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52684857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1583, -1837, -2091, -2345, -2599, -2853?\n\"Answer: -254*p - 1329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16\/(-64)*((-17159747)\/55 + 3\/(-5)).\nAnswer: 77999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133 + 269317*v**2 - 269319*v**2 - 133.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = h - 4*x, -3*h + x - 23 = h. Let t(d) = 2*d + 6. Let q be t(h). Suppose -27 - 24 = 5*b + 4*m, 5*b + 23 = 3*m. Which is smaller: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 10*f**2 - 198*f + 10. Calculate b(-20).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 155727427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/5 + 3106112*j**2\/5 + 12424424*j\/5 + 12424416\/5.\nAnswer: 2*(j + 2)**2*(j + 1553052)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7673 + 7536 - (-78 + 1)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 5:36 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtme when four letters picked without replacement from mmteea.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.58, 5, -2, 1\/49?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 35, 50, 85, 146, 239, 370, 545?\n\"Answer: z**3 + 4*z**2 - 4*z + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -104.642? (a) -0.01 (b) -5 (c) -5\/4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or 101.51?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1745, 3746, 6285, 9632, 14057?\nAnswer: 19830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 61?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-1 - 15\/(-18)). Let t = 1294 + -1295. Which is the fourth biggest value? (a) -4\/5 (b) t (c) 7 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*b + 2*b - 4*b**2 - 3 + 5*b + (-3*b + 3*b - b)*(2*b - 3*b - b).\nAnswer: -2*b**2 - b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**4 + 2*l**3 + 110*l**2 - 4624*l wrt l.\nAnswer: 12*l**2 + 12*l + 220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 6*s**2 - 4*s - 13. Let u be b(4). Let f(y) be the first derivative of 1\/10*y**4 - u - 4\/5*y + y**2 - 8\/15*y**3. Factor f(c).\nAnswer: 2*(c - 2)*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.86 (b) 3 (c) 0.2 (d) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 609*n - 336871. Determine z(-351).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u**2 - 30*u - 51. Let f(a) = a**2 + 5*a - 1. Let g(n) = f(n) - o(n). Factor g(v).\nAnswer: 5*(v + 2)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471*x**3 - 5*x**2 + 5*x**2 - 833*x**3.\nAnswer: -1304*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20475 (base 8) to base 3\nAnswer: 102200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.578 (b) -106.82 (c) -0.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3252.5977 from -5.\nAnswer: 3247.5977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 86924, 173844, 260764?\n\"Answer: 86920*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123633751\/154 + 5685543\/7. Let k = p + -9408. Find the common denominator of k and 2\/(-4) + 53\/(-9).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16, 38, 60, 82, 104, 126?\n\"Answer: 22*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3643 (base 15) in base 6?\nAnswer: -125230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 127 + 6?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -13*y - 48. Let w(i) = 24*i + 88. Let h(j) = 11*v(j) + 6*w(j). Let b(a) = -93*a. What is h(b(z))?\nAnswer: -93*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -390 by 6.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*z + 17*z - 80 = -16*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 211591*b**5 - 21*b**2 - 1223309*b.\nAnswer: 4231820*b**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 4*r**2 - 5*r + 5. Let k be d(-5). Suppose -8 = -2*p - 2*p, -4*q - 162 = -5*p. Let j be q\/(-9) + (-4)\/18. Sort k, j, 1 in increasing order.\nAnswer: 1, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**6\/3 + 44*g**5\/5 + 20*g**4 - 4*g**3\/3 - 41*g**2 - 40*g + 708. Factor k(a).\nAnswer: 2*(a - 1)*(a + 1)**3*(a + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (84\/70)\/(3\/10) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166778797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 8*w + 5*s = -18, 0 = 2*s + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 + 12. What are the prime factors of k?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-2*h + 0*h + 4*h) + (2 - 2 - h)*(1 - 1 + 8).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31.8*-13.\nAnswer: 413.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3262*f + 1135*f + 334172 = 0 for f.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 103548.\nAnswer: 1\/25887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 20. Is ((-511140)\/16)\/(-5) + p\/(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11e0 + -1935?\nAnswer: -745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55671\/33 + (-48)\/6.\nAnswer: 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1)*(-9*s - 1246 + 1415 + 2*s)*(3*s**3 + 2*s**3 - 3*s**3) to the form p*s**3 + c*s**4 + y*s**2 + a*s + i and give p.\nAnswer: -676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 143159 or 143187?\nAnswer: 143159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 19543*l - 28. Let s be o(-4). What is s rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02928 * 4385.\nAnswer: -128.3928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-28)\/70 - (-104)\/10. Does 60 divide ((-2 - (-5)\/q) + 1)*-1022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-190) - (-15408)\/912.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -135 divided by 9\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**2\/2 + 7*o - 2. Suppose 28*f + 205 = 65. Let d be q(f). Solve -5*y = 5*s - 45, -5 = -4*s - d*y + 23 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*3*(-4 - -6). Suppose -2*y = -4*i - k, 2*i + 29 = 3*y + 2*y. Sort 3, 5, i.\nAnswer: i, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 9.493.\nAnswer: 2.8479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 207 - (0 + 2 - 3). Let f = -5057 - -5070. What is the highest common factor of z and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1101.\nAnswer: -1\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 13, 45, 89, 145?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + o + 3*o)*(-1 + 5 + 1) + 2 + 2 - 3 + o.\nAnswer: -9*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k - 3. Let c be o(16). Let d = c + 37. Suppose -x = d*x - 135. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2\/2 + 9896120*i - 9793319105440.\nAnswer: -5*(i - 1979224)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l. Let w(b) = 3*b**2 + 5*b. Let f(p) = -w(p) - 5*x(p). Let s(i) = 511*i - 6. Let v(q) = -425*q + 5. Let c(m) = 5*s(m) + 6*v(m). What is f(c(k))?\nAnswer: -75*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 142111 - -61?\nAnswer: 142172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6238514, -12476920, -18715326?\nAnswer: -24953732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 27972906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 0*j**5 - 1\/12*j**4 + 1\/10*j**6 + 13*j + 0 + 0*j**3 + 0*j**2. Find the third derivative of y(g) wrt g.\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 647 or 257209\/398?\nAnswer: 647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 + -6)*(12 - 2). Suppose -f*x = -7*x - 3816. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 + 2)*(0 + 0 - u**5) + (2*u**2 - u + u)*(2*u - 2*u + 2*u**3) + 421*u**5 - 319*u**5 + 2*u - 206*u**5.\nAnswer: -109*u**5 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + b**2 - 14. Let g be w(0). Let l = 7 - -7. Calculate the common denominator of ((-160)\/g)\/2 + 0 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 2160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(2*sqrt(70) - sqrt(70)) - sqrt(70))\/((sqrt(100)*-1)\/sqrt(10)))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/13, 8, 4, 210, -3\/5, -3?\nAnswer: 210","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 848911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-5 - -13) + -20.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44.7 - 34. Let t = n + -10.6. Let d = -0.35 + -0.05. What is the nearest to 1 in -2\/3, d, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (2 + -3 + 2). Let b = -0.15 + 0.081. Let p = 0.631 - b. Sort p, -4, o in decreasing order.\nAnswer: p, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3 = 9, 3*r = 2*u + 24. Suppose 20 = 3*w + j, 3*w = -j + r*j + 8. Which is the second smallest value? (a) 1\/9 (b) -2\/7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 10, 0 = 4*v + 3*f + 2 - 27. Suppose 0*t = 2*t + v. Find the common denominator of t and 83\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 take away 2530?\nAnswer: -2577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 22*h + 133 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-34)\/(-1) + 3)*213. Let i = h - 5131. What is i rounded to the nearest one hundred?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/540*10)\/((-3)\/6)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -30517*m**2 + 4*m - 4. Let b be t(-4). Let k = b - -3887683\/8. Let s = 2340 + k. What is the common denominator of 113\/10 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 9:34 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(0 - (-16)\/216). Calculate the greatest common factor of 1971 and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times 0.53?\nAnswer: 0.0424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01214 and -4.\nAnswer: -0.04856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 5:04 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/18*(-258)\/43*2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1220*x + 1207*x + 65 = 0. Solve 4*d = 2*d + x*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w**3 + w**3 + w**3)*(-88 + 21 - 59) as r*w**3 + d*w**2 + i*w + n and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -969, 4, 1\/2, -40, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2 - 77\/(-14). Suppose 3*i + 0*i - r = 0. Suppose o - 3 = i. Solve -3 = -c + y + 2*y, -15 = -o*c + 3*y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 31, 70, 119, 178?\n\"Answer: 5*t**2 + 24*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w + 0 + 0 + (2 - 2 + 1)*(-26 + 7*w + 26) to the form m*w + k and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-24)*f)**41*(f**(-2\/7))**(-27\/7) assuming f is positive.\nAnswer: f**(-46153\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 8*r - 10. Let o be k(-2). Suppose o*y - 47 = 169. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 6) to base 11\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 12*h + 10 = 0. Which is the second biggest value? (a) -0.3 (b) 3 (c) h (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*y - 53*y - 242 = 0. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394585264?\nAnswer: 2, 619, 39841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/3, -2, 4\/11, -4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0. Let l = 0.3 - -4.7. Let p = l - 4.5. Put h, -0.4, p in descending order.\nAnswer: p, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -69, 1\/5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1129972 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/468 and 149\/2574.\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 231, 993, 2263, 4041?\n\"Answer: 254*j**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 970253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 + 1495782612844?\nAnswer: 1495782612844.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2018005 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l - 10. Let p(k) be the first derivative of 5*k**2\/2 - 10*k - 3333. Determine 5*p(i) - 6*z(i).\nAnswer: i + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 777 - 8b08?\nAnswer: -8351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + 2.82. Let l = -0.02 + x. Let f = l - 2.9998. Round f to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 4*l + 4, 2*l = 8*r - 6*r. Sort r, 3, 4, -10 in increasing order.\nAnswer: -10, r, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.334 - 0.176. Let p = 32 - 32.49. Let i = p + u. Which is the nearest to -1\/4? (a) -4 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**12*l*l*l*l*l*l\/(l\/l**(-18\/5))*l)\/((l\/(l\/((l\/(l**(1\/14)*l))\/l*l)*l)*l*l)\/(l\/(l\/(l*l**(-2\/5)*l)))) assuming l is positive.\nAnswer: l**(211\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c + 2. Let i be ((-6)\/4)\/(3\/4). Let l be k(i). Let n = l + -7. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75281 is divided by 25065.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 5*j + 12. Let r be g(6). Suppose s = -3*u + 18, -r*u = -u - 10. What is the units digit of (-4)\/s + 796\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from kkitktiikkit?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1872 - 1870. Factor 75\/2 + 15*t + 3\/2*t**a.\nAnswer: 3*(t + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 2*z + 26 = 0, -p - 2*p + 159 = -295*z + 326*z + 42 - 91 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16439.7705 rounded to 0 decimal places?\nAnswer: 16440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = -c - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6520.04 + 6520. Put 0.44, 1, l, 2, 0.5 in decreasing order.\nAnswer: 2, 1, 0.5, 0.44, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/1069618 and 8\/209.\nAnswer: 20322742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 13. Let h be p(14). Let c be (-3 + h)*1\/6*0. Suppose c = 6*g + 30 - 240. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 8*m**2 + 13*m + 121. Calculate o(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*m**2*n**4 + 2*m**2*n**3 - 41*m**2 - 3*m*n**3 - 7*n**2 wrt n?\nAnswer: 336*m**2*n + 12*m**2 - 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o + 17. Let n be a(-2). Let d be 45\/3 + (-5 - -3). Let u = n - d. Calculate the remainder when 94 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*x + 10. What is the remainder when 27 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10211020111 - 1011?\nAnswer: -10211021122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*x = -9*x + 20, 0 = -5*r + x - 4. Let d(b) be the third derivative of -1\/24*b**4 - 1\/10*b**5 + 0 + r*b - 5*b**2 + 0*b**3. Give d(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v + 3. Let h = 4 - 18. Let u = -4 - h. Let m(d) = -3*d + 5. Determine u*q(a) - 6*m(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2008984357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -119 - -145. Which is bigger: 28 or i?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - (-4)\/(-3))*0. Suppose u*v - 3*v = -r + 8, r = 5. Sort -4, -2, v in increasing order.\nAnswer: -4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 32 = 0, -4*o + 48 = 3*s - 24. Solve -5*r - 2*x = 14, 3*x + o = -4*r + x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, y: 1, i: 1}. Give prob of sequence yfi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.07 and -101.1422.\nAnswer: -101.0722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 4*l**2 - 3*l - 2. Let v be z(-4). Let q = -3 + v. Solve i = -j + q, -i + 4 = 5*j - 15 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + r + 41. Let x be l(0). Factor 0*k - 45*k**4 - 4*k**3 + x*k**4 + 4*k**2 + 4*k.\nAnswer: -4*k*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 4:52 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21320 + 21341. Calculate the least common multiple of 921 and f.\nAnswer: 6447","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {x: 4, l: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2, -15, -56, -133, -258, -443, -700, -1041?\n\"Answer: -2*z**3 - 3*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2 - 10. Let r(p) = -8*p**2. Calculate s(r(m)).\nAnswer: -192*m**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppp. What is prob of picking 2 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 8:40 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -25. Find the second derivative of -4*m + 0*m - 12*m - 3*m**h - 4*m wrt m.\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -2158.8, 0.05?\nAnswer: -2158.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 30. Suppose 25 = 4*d + r. Factor -g - 4*g**d + g + 2*g**5 + 2*g**4.\nAnswer: 2*g**4*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, g: 2, c: 1, j: 1, t: 1, a: 1}. Give prob of sequence bgtc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6450*g**2 - 7*g + 1. Let z be o(-5). Suppose -60*h + 1605734 - 5278574 = 0. Let v = z - h. What is v rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 191, 212, 233?\n\"Answer: 21*b + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s + 7*s + 7*s + 2*s - 4*s + 3*s + (-12 + 9 + 9)*(3 - s - 3).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 take away 2987612719045?\nAnswer: -2987612719055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8439947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 2\/11, 100, 15\/13?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(7 - 565\/80). Solve 14*j - 6 = b*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8345310 to the power of 1\/2, to the nearest integer?\nAnswer: 2889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 52312?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21935 is divided by 4292.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*w + 17 = -4, -i = 4*w + 7. Let k(a) = -a**3 - 6*a**2 + 8*a + 4. Let o be k(i). Let y(j) = 2*j + 4. Give y(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71775 + -33274. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(4) + 5 + (sqrt(12) - (-2 + -5 + sqrt(12))) - (-2*sqrt(1200) + (sqrt(12) - sqrt(12)*-2 - sqrt(12)) + 2))**2.\nAnswer: 760*sqrt(3) + 4432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 - 60*c**2 + 296*c + 86. Give g(6).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -151 - -243. Is 23 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**6\/15 - 7*b**3 + 9*b - 41. Let g(f) be the first derivative of y(f). What is the second derivative of g(v) wrt v?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4194d (base 16) to base 6.\nAnswer: -5431341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/5 + 24*r**2\/5 - 34*r\/5 - 12 = 0. Calculate r.\nAnswer: -1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/2694 and -61\/42660.\nAnswer: 19154340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 146*c**4 + c - 20 - 155*c**4 - c wrt c.\nAnswer: -36*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*x - 60966 + 62566 for x.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 w, and 1 c when four letters picked without replacement from fffwwfffwffcfffff.\nAnswer: 39\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3505603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*q - 267*q = 466*q + 7245 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -920.88 + 917.88. Let r = 198 + -1389\/7. Let g be (-5)\/2*4\/(-15). Which is the closest to g? (a) r (b) 0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-144)\/(-30) - (-1)\/5. Let o be (-3)\/12 - (-3 + (-18)\/8). Let a = 1 + -1. Solve u*n - 5*l = -a*l + 10, o*l = -5*n + 30 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/6*(6 + 0 + 2). Let f(t) = -t**3 - 4*t**2 - 2*t - 6. Let h be f(u). Suppose -h*n = -0*n + 10, 0 = -3*r - 5*n + 236. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/110 and 107\/176.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbgtgy. What is prob of sequence tgy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**3 + 11*h**4 + 70 - 33 - 60*h**2 - 37 wrt h?\nAnswer: 264*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1148000.957067 + 44.\nAnswer: 1148044.957067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k**4 + 17298*k**3 + 86660*k**2 + 138744*k + 69392 = 0. What is k?\nAnswer: -2, -1, 8674\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 2743\/247 + 2\/(-19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (430\/(-2150))\/((-2)\/(-5))*-146?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 497206067, 497206066, 497206067, 497206070, 497206075, 497206082?\nAnswer: 497206091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15847618?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2201231302 (base 5) in base 13?\nAnswer: -c8c655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 divided by -384512?\nAnswer: -137\/192256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 29*m - 756. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21014377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**3 + 685*f + 25*f**3 + 2*f**4 - 687*f - 2 + 0*f**4 as j*f + m + i*f**3 + h*f**4 + u*f**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10201 - -10196. What is the closest to -2 in i, -0.5, 260\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -23*p + 39. Let v(d) = d. Let u(n) = -6*v(n) - w(n). Let h be u(3). What is the greatest common divisor of 108 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15324?\nAnswer: 2, 3, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 222.87 and 0.5.\nAnswer: 223.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 8a61?\nAnswer: 8a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1604096.\nAnswer: 2, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85*d**5 + 4*d - 44*d - 44*d wrt d?\nAnswer: 1700*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*p = 3*w + 10, -5*w + 50 = 5*p. Suppose -5*v + 4*m + w = 8*m, 0 = 2*v - 4*m - 4. Calculate the remainder when v\/9 - 964\/(-36) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-192)*(-16)\/(-1116))\/((-3)\/(-18))?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*z + 5*q - 23, 0 = -2*z - 3*q + 77 - 80 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 + -0.02. Let a = n - -0.04. Let x = -0.00999975 - a. What is x rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 820*h - 1940. Determine x(0).\nAnswer: -1940","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -7 + (-32456)\/(-64) + 2\/(-16).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -195, 3, -9, 2, 5, 4 in decreasing order.\nAnswer: 5, 4, 3, 2, -9, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 7*z**2 + 7*z + 7. Let j be t(-6). Let h(i) = 5*i**3 - 2*i**2 + i. Let c be h(j). Put -0.4, -4\/3, c in ascending order.\nAnswer: -4\/3, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28 - -31) + (-3)\/(33\/199). Is t less than or equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x = 32. Suppose 1019 - 395 = -39*o. Is x smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(175) + -5)*-3)**2.\nAnswer: 900*sqrt(7) + 6525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2 - 7*u + 223. Let d(h) = -3*h**2 + 4*h - 111. Let x(k) = 7*d(k) + 4*n(k). Let j be x(0). Suppose -j = -5*v - 0*v. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.12 - 1.2. Let b = r - -4.08. Let f = 4.9 - -0.1. Sort f, b, 3\/4 in decreasing order.\nAnswer: f, b, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 235 + -205. Solve l*d - 25 = 25*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548047071?\nAnswer: 3, 11, 13, 17, 37, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*q = -36, x - 5*q - 5 = 8. Suppose 5*w + 5*i - 38 + x = 0, 0 = -3*w - i + 14. Solve -4*g + 4 = -2*v, -w*g - 3*v + 40 = 16 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.07, 0.1, 0.2, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -15 + 13 - (0 + -5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31947.5*-0.9.\nAnswer: 28752.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63 - 56) + 21 + -9.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 15 = -c, 4*c - 1 = -3*z + 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 1685452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uumcuucmruurcuu. Give prob of sequence rmc.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203562 - 203570 = -4*l, -66*a - 2*l = 590 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27766469 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**4 + s**3 - s**2 - s + 1. Let a(f) = -150*f**4 + 90*f**3 + 685*f**2 - 270*f + 50. Let k(n) = a(n) - 30*d(n). Find m, given that k(m) = 0.\nAnswer: -2, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l - 3. Let q(d) = -d**3 - 6*d**2 - 5*d + 2. Let c be q(-5). Let w be b(c). Suppose -3*i + 2*f = -75 + 12, 0 = w*i + 5*f - 80. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5634 (base 15) to base 12\nAnswer: -a6aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 147 - 144. Let n(i) be the second derivative of -1\/4*i**5 + 1\/2*i**2 + 0 + 0*i**d + 0*i**4 - 5*i. Find the first derivative of n(b) wrt b.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47\/2 + 241\/10. Let t = -60815\/9 - -6775. Let d = t + -18. Put d, g, 1\/4 in ascending order.\nAnswer: d, 1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 54 - 12 = 0. Let n = 30 - h. Suppose 0 = -0*d + d + 3*w - 36, 5*w + n = 3*d. Calculate the least common multiple of d and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2521 - -20?\nAnswer: -2501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*t = -24 - 64 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75\/4 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08807 - -0.3614?\nAnswer: 0.44947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 3. Let v be a(0). Suppose v*l - l - 6 = 0. Solve 0 = -l*q - y + 13, q + 5 = -8*y + 3*y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 22*n**2 + 2816*n + 4. Determine t(-128).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -3564, 189, 4\/5 in descending order.\nAnswer: 189, 4\/5, 1\/7, -3564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q - 4 = 0. What is the second derivative of -m + 2*m**2 - 3*m**2 + 5*m - 3*m**q wrt m?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.053907299 or -2?\nAnswer: -0.053907299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 4. Let c(y) = 5*y - n*y - 4*y + 7 + y. Let r be c(6). Put -2, 4, r in descending order.\nAnswer: 4, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4770 = -3*c + 3*z, 25*c - 3192 = 23*c + 5*z. List the prime factors of c.\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468 is divided by 120.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l + 4 - 4)*(6 - 19 - 15 + (-1 + 1 + 2)*(1 - 2 - 1) + 0 - 1 - 1) in the form h + y*l and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 8:54 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43584, -4, -5, 50, -9 in descending order.\nAnswer: 43584, 50, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -1455 (c) 0.1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.04 (b) -0.03 (c) -0.4 (d) 27 (e) -3 (f) 182\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + 12. Let f = 2924325324.99999982 + -2924325350. Let l = f + h. Round l to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -8. Let x = -15 - -15. Let p be (7\/14)\/(10\/4). Which is the nearest to x? (a) r (b) p (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.85624507 and -400331?\nAnswer: 400331.85624507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385489?\nAnswer: 13, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q**2 + 6*q - 4. Let a(t) = t**2 + t. Let m(r) = 14*a(r) + 2*p(r). Let z be m(-14). Solve 5*l = -0*l - z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -20. Let g(w) = 2*w - 2644 + 2645 - w. Let k(c) = 8*c + 5. Determine f*g(i) - k(i).\nAnswer: -4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (128\/(-960))\/(((-4)\/(-2))\/(-10))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 1 (b) -5 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4206 + 4598. What is the greatest common factor of 224 and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - -12012?\nAnswer: 12000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -142, -147, -162, -193, -246, -327, -442?\nAnswer: -597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -726 and -1844668.\nAnswer: 1339228968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 326349.\nAnswer: 326349.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 330 and 14289.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 = 14*j + 174 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 3*o**2 - o. Let c be m(3). Let q be (-3)\/(-2) - c\/6. Solve -3*d + 10 = q*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 q when three letters picked without replacement from irlxlxxlxqririxq.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 897, 1875, 2959, 4161, 5493, 6967?\n\"Answer: 2*s**3 + 41*s**2 + 841*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivoviiiooooooo. What is prob of sequence viio?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -443*f*r + 9924*f + 2970*r + 4125 with respect to f.\nAnswer: -443*r + 9924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 - 43. Let k be (4 + 4)\/r + 6. Suppose -v + k*a = -87, -5*a = -4*v + 396 - 48. List the prime factors of v.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a day in minutes?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (-13 - 62) - -75.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 48*d**4 - 5617*d**3\/6 + 143*d + 15. Find the second derivative of r(s) wrt s.\nAnswer: 1152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -306 by 7.\nAnswer: -306\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 3 + -3 + (9 - -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from {r: 1, k: 1, v: 1, q: 1, f: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 45\/4 of a millennium?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*p = 1 + 26, -4*p = -5*v - 1. Let m = -982 - -1058. Suppose -v*u + u = -m. Calculate the greatest common divisor of 95 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/45*(-164)\/(-4) - -15\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and -8.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79794 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 189504879 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 4*t**2 - 4*t**2)*(1 + 3*t - 1 + (-1 - 1 - 3)*(0 + 0 - t)).\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 2288.843, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25684506 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.07, -1\/3, -0.011?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -207.5401 * -0.4\nAnswer: 83.01604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 + 7*b**3 - 3*b**3)*(-5 - 1583*b + 1584*b + 2).\nAnswer: 2*b**4 - 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - u = 6*n + 6, -4*u + 18 = -n. Is (-67)\/n - (-1)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 433110097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 - 0.04261?\nAnswer: -1.34261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -60\/143639?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1103231 - 1553?\nAnswer: -1105114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.0873 times 0.1?\nAnswer: 1.00873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -1215\/2*q - 275\/6*q**3 + 1305\/2*q**2 + 5\/6*q**4 + 0 = 0.\nAnswer: 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 6*o - 16, -131*o + 135*o = 3*z + 13 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 4*x**2 + 2*x - 2. Let h be z(4). Let b(n) = 17*n**2 + 14*n + 31. Let j(m) = -3*m**2 - 3*m - 6. Let g(d) = 2*b(d) + 11*j(d). Calculate g(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4041070.\nAnswer: 2, 5, 11, 17, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + g + 1 = 0, -6 = -2*w - 3*g - 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 9 = -4*m - m, 2*m = -f + 4. Suppose -48 - f = -10*n. Suppose -22 = -9*o + n. Solve 2*r - 3 = 4*r - 3*u, 0 = 2*r + o*u - 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.325 from 20.656063.\nAnswer: 20.331063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-45))\/(1900\/750)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uulllu. Give prob of picking 2 u and 2 l.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26368*c**3 + 4*c + 298*c**2 + 0*c + 26370*c**3.\nAnswer: 2*c**3 + 298*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*x - 2 + 27*x + 135*x.\nAnswer: 60*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one twentieth of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 13 + 0)*(-508*k**3 - 329*k**4 + 508*k**3).\nAnswer: -4277*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -279*s + 113*s + 127*s + (4*s - s + 0*s)*(-4 + 1 + 4) + 5*s - 3 + 3 + 17*s - 9*s - 14*s in the form g + v*s and give v.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -2\/19 (c) -0.02 (d) -3 (e) -4 (f) -18.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31202 (base 10) in base 7?\nAnswer: 156653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 495550 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 15. Let h = z + 0. What is the second smallest value in -5, h, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftuw when four letters picked without replacement from uttvvwucf.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -480 + 482. Find the third derivative of -72*o**4 + 39*o**4 - 21*o**v + 79*o**2 + 195*o**2 + 35*o**4 - 48*o**3 wrt o.\nAnswer: 48*o - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -11. Suppose 3*u = 4*o - 7*o + 3, o = u - 1. Suppose o = -0*h + n*h. Solve h = -3*g + g - 2*z, -5*g - 4*z + 3 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 663\/(-39)*1197\/(-171).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 + r - 1. Let h(t) = 10*t**2 + 189*t - 4. Determine 4*g(j) - h(j).\nAnswer: -2*j**2 - 185*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.3 + 2. Let w(g) = -g**3 + 11*g**2 + 13*g - 16. Let p be w(12). Which is the second biggest value? (a) 0.5 (b) i (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12210 (base 3) to base 10\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26448052 is divided by 15659.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 - (8 + -37) - (22 + -4 - 5)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -99679*s**2 + 128073*s.\nAnswer: -199358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 8\/5*u**5 + 2*u + 0*u**3 - 3\/4*u**4 - 18 - 7\/2*u**2. Find the second derivative of m(b) wrt b.\nAnswer: 96*b**2 - 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 721705 to the power of 1\/2, to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - o - 4*o - 8, -3*u + o = 1. Which is smaller: -3\/8 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42\/37, -2, -13\/881 in descending order.\nAnswer: -13\/881, -42\/37, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 7*y**2 - 5*y - 20. Give u(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-28)\/8*2)*2100\/5400?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 828 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2904 (base 10) to base 2.\nAnswer: 101101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) - 5*sqrt(95)*-1) + sqrt(95))\/sqrt(5) + -3*1*sqrt(19) + sqrt(19)*-1 + 2)**2.\nAnswer: 12*sqrt(19) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-6))\/(2\/740). Let d = j + -25. What is d rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140795690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -205155 (base 8) to base 3\nAnswer: -10110120010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -912*p**3 + 24*p**2 - 15*p**2 - 9*p**2 + 4*p**3 + (-p**2 + 0*p**2 - p**2)*(p + p + 0*p) to q + g*p**3 + k*p + j*p**2 and give g.\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 159 + -154. Solve -2*m - 2*m = 16, v*t - 24 = m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 7*z - 6. Let v = -172 - -176. Give t(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/7)\/h)**(-34)*(h*h*h**(4\/11)*h*h)**(-32) assuming h is positive.\nAnswer: h**(-7386\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.4 (c) -576 (d) 2 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25727747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4029750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n + 1. Suppose -2*d = 3*d + 10. Let i(r) = r + 4. Let v(a) = a + 3. Let t(q) = 3*i(q) - 4*v(q). Determine d*t(z) + 2*u(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 38, 367, 922, 1691, 2662, 3823?\n\"Answer: -2*o**3 + 125*o**2 - 32*o - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8\/7 (b) -0.4 (c) -229 (d) -3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(300\/135))\/(1\/4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - 0. Let j = -4.00001 - c. Round j to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 1:14 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1012 + -49108?\nAnswer: -4a11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*y + 2*c, 81*y - 85*y - 5*c - 49 = 0. Let b be y + (2*102\/12 - -4). Solve 2*g + 4 - 5 = -3*t, 5*g - 5*t = b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + w - 3. Let m(o) = -2*o**2 - 70*o + 12. Determine -m(q) - 3*u(q).\nAnswer: -q**2 + 67*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**2 + 3*f - 3. Let w be g(2). Let j = 30 - w. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -19*y**5\/5 - 17*y**4 + 2*y**3\/3 + 1242*y - 11091. Find the third derivative of a(z) wrt z.\nAnswer: -456*z - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.063542 - 0.054644. Let g = -0.118 - t. Round g to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -y + 5 + 14, 5*y = 20. Let n be (0 + 0)\/((-3)\/3). Suppose n = i*z - z - 12. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.05 - 0.15. Let p = 2.8 - j. Let g = -18 + p. What is the closest to -1 in 0.4, 1\/4, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 1\/2*v**2 + 3\/2*v**3 + 8*v + 0. Determine p(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cal when three letters picked without replacement from dadlcdbaluddddbld?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = 4*r - 544. What is the remainder when 98 is divided by r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41.6 + 41.9. Let v = -2045\/2637 + -2\/879. Let s = v + 76\/63. Sort r, s, 5 in ascending order.\nAnswer: r, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.1 + -15. What is the nearest to s in -0.1, 0.1, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*o = -15 - 7, z - 4*o = 20. Let m(r) = -37*r + 32. Let t be m(-4). What is the hundreds digit of (-20)\/(z\/2 - 738\/t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + n. Let t be v(-1). Let x be (-18)\/4*t\/(-3). Which is the nearest to -0.2? (a) 0.5 (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2975.1 + 2975.5. Which is the closest to 0.2? (a) y (b) -0.4 (c) 0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -18*l**2 - 2*l. Let s be (2\/2 - -2)\/((-3)\/(-2)). Let o(q) = q. Let j(h) = s*o(h) + y(h). Let u(b) = -4*b**2. Give j(u(p)).\nAnswer: -288*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 0)\/((-3)\/9). What is the second derivative of -c**4 + 0*c + 6*c**4 - 3*c - g*c**4 wrt c?\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -21 and 10298396.\nAnswer: 10298375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1545 (base 9) to base 15\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(-28) - 1)\/(925\/555) + (-1253)\/6762?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3383 - 27007\/8. Find the common denominator of 85\/48 and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151076 (base 11) in base 2?\nAnswer: 111001100010010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 30. Let a = 4.1 + -4. What is the nearest to a in u, 2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {n: 6, a: 1, w: 2, q: 2, y: 6, h: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-23)\/(-5) - (-2)\/5. Suppose -2*c - c + 2*j + 46 = 0, n = -j. Suppose 2*o - c = o. Solve -11 = 3*y + 5*f, -6 = -2*y + 3*f + o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) - (2*sqrt(224) - sqrt(56) - sqrt(56)))\/(sqrt(28)*-4))\/(sqrt(100) + sqrt(100)*-3 + (sqrt(64)*-2 - sqrt(64)))*-6.\nAnswer: 3*sqrt(2)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-50) - (-1)\/5*-211. Let t be (l - -12)*5\/(25\/12). Which is bigger: t or -74?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/492360 and 103\/1672905.\nAnswer: 147215640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1\/6 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 14) + -11 + -5 + 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93.984*-0.3.\nAnswer: 28.1952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -0.07, 51\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -11273113.9 to the nearest 10000.\nAnswer: -11270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 6*j**2 - 4*j - 3. Let s be m(5). Is (-5)\/s*(-54)\/3 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 11*f + 20*f = 0. Suppose 4*r + 4*w - 32 = f, -r = 4*w - 4 - 19. What is the smallest value in -0.019, r, 0?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j + 17. Let k be i(-7). Let o = 16 + k. Suppose o*n = 395863 - 3895863. Round n to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 59831, 119813, 179801, 239795, 299795?\n\"Answer: 3*t**2 + 59973*t - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*4129.\nAnswer: 20645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 79, -88, 1 in decreasing order.\nAnswer: 79, 4, 2, 1, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v = 0, v - 28 = -2*r. Suppose 4*y = -11*y + r*y. Solve y = 3*k + 2*k - 10, 0 = -t + 5*k - 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7054000 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a centimeter in millimeters?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**8\/840 + 16*a**7\/525 - 17*a**6\/50 + 12*a**5\/25 + 63*a**4\/20 + a**2 - 5439. Let s(o) = 0. Calculate o.\nAnswer: -21, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 7*g. Let r(h) = h**3 - h**2 + 2*h - 17. Let c be r(g). Is 5*29 + 17 + c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -1048*c**3 + 2008*c + 974. What is the first derivative of k(b) wrt b?\nAnswer: -6288*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 5, 2\/493, 0.3, -3, -2?\nAnswer: 2\/493","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 - 9*a**2 - a**2)*(13*a**3 - 20*a**3 + 7*a**2 + 5*a**3).\nAnswer: 12*a**5 - 42*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4564 - -4308415\/944. Let a = -982906476 + 58455413942497\/59472. Let i = v - a. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485?\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*sqrt(3))**2*3.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 11*s - 25 = 0. Suppose p + 0*p + s*q = 211, 5*q = 5*p - 1055. Let k = p + -143. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -12. Let f(b) = -7*b. Let k be f(6). Does 7 divide (h\/(-6))\/((-4)\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-8) + ((-20)\/(-5) - 1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2323\/161 - 15)\/((-4)\/(-42))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -280 (base 10) in base 12?\nAnswer: -1b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0077299675 rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7948 divided by 2.\nAnswer: -3974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-1701)*-18*(-3)\/3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8d8f (base 16) in base 10?\nAnswer: 36239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -20931, -21177, -21865, -23217, -25455?\n\"Answer: -37*l**3 + l**2 + 10*l - 20905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5*d*d*d\/(d\/(d*d**(1\/7))))\/((d**(-1\/7)\/d)\/(d\/d**5)) assuming d is positive.\nAnswer: d**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7299307 meters to centimeters.\nAnswer: 72.99307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55356 and 5649?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 292.9 - 292.884157. What is y rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*v + 3. Suppose 0 = 5*u - d - 5, 3*u = -v*d - 0 + 3. Is 354\/(-18)*-3*u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 5*y - 2. Let z(l) = -6*l**3 - 3*l**2 - 4*l - 5. Let b be z(4). Let p = b - -450. Determine w(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -183.832 + 184. Let k = m - 0.128. Which is the nearest to k? (a) -4 (b) 0 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.7536 - -2.2536. What is the second smallest value in 4, t, 2, -0.4, -14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -39 + 20 + 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*s - 52, 2*s + 7 = d - 3. Which is bigger: d or 11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 3*s**2 + s + 6. Let d be v(-3). Solve d*k - 4*i = -8, 2*k - 3*k = 2*i + 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/31621 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 + -236 - 50\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 4*j + 2*j**3)*(2*j**2 - 3*j**2 + 0*j**2) - 7*j**5 - 2*j**2 + 2*j**2 + (-j + 3*j - j)*(-2*j**4 + 5*j**4 - 2*j**4) + 0*j**5 + 3*j**5 - 5*j**5.\nAnswer: -10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/36 and -67\/432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 135*h*j**3 + 8*h*j**2 - 3*h*j - 3225*j**4 + 4*j**2 - 11*j - 2 wrt j?\nAnswer: 810*h - 77400*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w. Suppose 0 = 2*q - 3*q + 6. Let o(i) = 10*i. Determine q*k(n) + o(n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 13*c**2 - 4*c - 7. Let m(o) = 6*o**2 - 2*o - 3. Suppose 0 = -u - 11 + 7, -r + 13 = -5*u. Determine r*m(n) + 3*i(n).\nAnswer: -3*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 2:27 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/((-2835)\/(-90))*-7*9?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98 - -107. Suppose m*z = 9 - 54. Let p be ((-50)\/(-4))\/(-5)*(-12)\/225. What is the fourth smallest value in -4, p, -1\/11, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 2a?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*b**2 - 158*b**2 - 829*b**2.\nAnswer: -1147*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -628527578 divided by 322.\nAnswer: -1951949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from {l: 2, i: 1, v: 1, y: 1, u: 1, k: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4742, 18116, 40124, 70766?\n\"Answer: 4317*k**2 + 423*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*1*sqrt(95) - sqrt(95))\/(sqrt(60)\/(sqrt(72)\/sqrt(6))).\nAnswer: -1 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 * 47\nAnswer: -75.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -5\/6, 46\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768)*-2 + -4 + -3*((-1*sqrt(9))\/sqrt(3) - (sqrt(3) + 0 + -2 - sqrt(3))))**2.\nAnswer: 580*sqrt(3) + 2623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2463 or 698?\nAnswer: 2463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 101101110011010001000011?\nAnswer: -101101110011010001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c = -46*c + 31 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46431533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 34080 - 184548 = 0. Let q(v) = 14*v + o - 36438 + 54*v - 13*v. Let n(f) = 3*f**2. Give q(n(w)).\nAnswer: 165*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*b = 25. Suppose 2*s = -s - 2*n + 18, -b*s - 4*n = -30. Suppose 0 = s*m - 5*m - 79. Is m a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1542450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.9 + -2.9. What is the biggest value in -4, -2\/13, d?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 781*f - 8 - 781*f + 2*f**2.\nAnswer: 2*f**2 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 25*o + 133. Let t be u(-18). Suppose -t*y + 11*y = 0, -5*a + 2*y - 10 = 0. Let c = -0.3 + 0.1. What is the nearest to 15 in -2\/3, a, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*p = -3*p + 1728*p + 16949 + 50191 for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31\/62)\/(6\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -23. Let q = 3\/2 + 0. Does q = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1873 - -66. What is the least common multiple of f and 21?\nAnswer: 5817","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g + 7. Let r(d) = -4*d - 7. Suppose 66 = -6*j + b + 105, -4*j + 47 = -3*b. Determine j*r(n) + 6*o(n).\nAnswer: -2*n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + 4. Let r be ((-12)\/9)\/((-10)\/15). Suppose -n + 3*h = 4*n - 35, 2*n = r*h + 18. What is the least common multiple of n and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-51*1)\/(11\/(-11)). Let w = t + -48. Is (317\/(-1))\/(w\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -173 or -172?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123 - -164. What is the remainder when y is divided by (-2)\/14 + 234\/21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3) - 92\/(-6). Let d = v - -5. Solve 2*s + d = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26177507 or 26177506?\nAnswer: 26177506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a year?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -19. Is ((-1)\/(-1))\/(k\/100) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/14 + (-9)\/(-30))*-5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Suppose -88203 = 29*h - 30*h - 2*i, -5*i + 264613 = 3*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595739660 is divided by 5772.\nAnswer: 5768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 3*f = 0. Suppose -2*r - 3*t - 21 = f, 8*t = 3*t - 5. Let k(x) = x + 11. Let z be k(r). Solve -4*u = -3*n - 8 + 25, z*n + 2*u - 2 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 11*c**2 + 7*c + 34. Calculate u(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 9. Suppose -7 = j - a. What is the remainder when ((-30)\/(-3))\/(5 + j) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3135177908*i - 6270355813*i + 3135177907*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*l + 64 = 4, -2*l = 0. What is the remainder when 6\/t + 418\/10 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/29, 3, -156.829, 8, 2\/7 in ascending order.\nAnswer: -156.829, 1\/29, 2\/7, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h**4*r**2 + 22*h**3*r**2 + 7*r**2 + 37*r with respect to h.\nAnswer: 12*h**3*r**2 + 66*h**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 + 2*m)*(-34 + 34 + 4*m + 3 + 2*m - 3 + (-4*m + 3*m + 0*m)*(0 + 3 - 4) + m + 1 - 1 + 0*m + 4*m - 3*m - 2*m + 3*m - 3*m).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 204228184 and 0.342.\nAnswer: 204228184.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 8 = -o, 19 = -4*j - 4*o + 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3385 >= 3859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-182)\/(-945))\/(3666\/2820).\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**2. Let w(l) = -l + 3. Let p = -8 + 11. Let j(y) = y - 1. Let h(s) = p*j(s) + w(s). Calculate h(n(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52 - -62) + 0 + 0 - (-4 - -22)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.05, -8946, -2\/5, -75, -1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77522?\nAnswer: 2, 83, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 943501 to the nearest integer?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2137 is divided by 315?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -12088?\nAnswer: -12088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621390 is divided by 17206?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 16 = 3*l. Let a = l + -11. What is the second derivative of -h**a + 3*h + 2*h**3 - 2*h**3 - h wrt h?\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/18 - (0 + 204\/(-54)). Suppose 0 = -3*z - 2*r + 5*r + 660, -r - 877 = -p*z. What are the prime factors of z?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-6) + 0 + 0. Let f = 175.1 - 175. What is the biggest value in -4, o, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1127 + 1182. What is the lowest common multiple of p and 275?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/12*40\/(-52).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.07, -388\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3258 + -3230. Let d = 48921\/10 - 30943\/5. Let u = 1324 + d. Which is smaller: j or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/14)\/(((-14)\/588)\/(((-891)\/(-22))\/27)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*h**3 - 28*h + 2*h**2 + 6*h**3 + 2*h**3 - 4*h**3 to the form g*h**2 + q + l*h + i*h**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-1 - -25) + -6 + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + -1)*4 - ((2*sqrt(20))\/sqrt(10))**2*2.\nAnswer: -20 + 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**3 - 857*i**2 - 37796*i - 105846. Let a(k) = -2*k**3 - 858*k**2 - 37794*k - 105849. Let n(q) = 2*a(q) - 3*v(q). Factor n(c).\nAnswer: 5*(c + 3)*(c + 84)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*n = -44 - 12, -2*n + 112 = 4*c. Suppose 10*k - 5*k - 135 = 0. Let a = c - k. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -289.137 + 289. Let l = b - -0.1369. Round l to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4. Let i be w\/(0 - (1 + 1)). Suppose 0*g + 2*g - 14 = i. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40607.71 millilitres to litres.\nAnswer: 40.60771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 737 + -366. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.2 + -2.8. Let k be (-5)\/(-4) + 74\/(-72). What is the third smallest value in 3, k, z, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqa when three letters picked without replacement from joaqasjtjsjqojqjaaa?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/94 and 109\/10.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-176))\/((-17)\/(-306)))\/((-3828)\/(-20416))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000066798 rounded to six dps?\nAnswer: -0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -191 + 194. Suppose -l = y*g - 384, -5*g - 1163 = -3*l - 3*g. What are the prime factors of l?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 505260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - u = 1 - 2, 2*p = 4*u + 26. Suppose -3*k - 4*r + r = -p, 0 = 4*k + 5*r. Solve 4 = -3*o - k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 7*g)*(5*g - 5 + 5).\nAnswer: 35*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -15. Suppose 4*j + q - 3*q - 230 = 0, -3*j = 4*q - 189. Let x = 49 + j. Calculate the greatest common factor of o and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 532977*1.4.\nAnswer: 746167.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8081929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + h**2. Suppose 73 - 13 = 12*x. Let m(u) = -2*u**3 + u**2 - u. Calculate x*f(r) - 3*m(r).\nAnswer: r**3 + 2*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11832 = -0*o + 24*o. What is the remainder when o is divided by (48\/(-21))\/(4\/(-14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*r + 27540 = -1728. Calculate the lowest common multiple of 8 and r.\nAnswer: 2168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2. Let c(u) = -5*u**2 + 106. Calculate c(k(h)).\nAnswer: -20*h**4 + 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 1231?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121302.\nAnswer: 2, 3, 23, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -99. Let m be 18\/(-72) - ((-183)\/r - -2). Factor -m*z**5 + 0*z + 0*z**3 - 4\/5*z**4 + 0 + 0*z**2.\nAnswer: -4*z**4*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223, -894, -2013, -3580?\nAnswer: -5595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 3bb704?\nAnswer: 3bb708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from fnzgcwn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3\/3 + 164272*y**2\/3 - 164254*y - 985596 = 0.\nAnswer: -3, 6, 82133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7*k**2 + 110*k + 871. Determine a(-8).\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-46)\/8 + (-1)\/4. Let q(j) = -13*j - 11 + 8 + 2*j + 12*j. Calculate q(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/48 and -37\/11.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*l. Suppose -5*c + 5 = -l*c. What is the highest common divisor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 166194.6 from -5.59.\nAnswer: -166200.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from yxxyxyymxxmxmtttyyxy.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -132630 divided by -1\nAnswer: 132630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3\/3 - 3754*r**2 + 460061*r\/3 = 0. Calculate r.\nAnswer: 0, 41, 11221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6798 times 15?\nAnswer: -101970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 + (-22 - -34) + -65 - (0 - 92).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-2)*45\/57. Let j = l - -6\/19. Does 2 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 9*f + 6*x = x + 72, -3*f + 11*x = 174 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -481905 divided by -9\nAnswer: 53545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 24.8. Let p = 0.2 + z. Let f = -252961 + 252960. What is the closest to -1 in 0.04, p, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-28))\/(6648\/(-174510)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 8*g + 2. Let c be l(-8). Let m = c + 11. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 6:17 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 3*k + 46, 17*c + 21*k - 138 = 26*k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 2*n - 1. Suppose -4 = 3*i - 7*i. Let c be (3\/(-4)*-4)\/i. Determine k(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 4*n - 9728, 0*n + 4*n + 12157 = 5*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 712457 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 2*p**2 - 2*p - 2. Let v be n(-2). Suppose -i = -2*u - 18, 0*i - 4*i = v*u - 42. What is the remainder when 19 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) - -2*sqrt(176) - sqrt(176) - sqrt(44).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1090987 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 17786060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34? (a) -0.35 (b) -0.2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -67 (b) -5 (c) -16 (d) -9 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q - 21. Let j be d(4). What is the greatest common divisor of 28 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 - 86. Is 164 - -2*(-3 + -1 + t) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m + 17*m - 2*m.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 32 + 16 = 0. Let n = 3 + f. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2598, -5199, -7826, -10491, -13206?\nAnswer: -15983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6204*r + 24796. What is w(4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 22*w + 35. Let b(u) = 4*u + 7. Let v(s) = -5*b(s) + j(s). Suppose 4*g + m - 33 = 0, m + 4*m - 30 = -5*g. Let y(l) = -l - g*l + l. Calculate y(v(t)).\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -94, -188, -266, -310, -302?\n\"Answer: 3*b**3 - 10*b**2 - 85*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31295923 to the power of 1\/2, to the nearest integer?\nAnswer: 5594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -7574 - 22651. Suppose -4*n - 642 = -5*q - 3742, 0 = -3*n - q + d. What are the prime factors of n?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1569145\/966 + -9749\/6. Let h = k + 4\/23. Which is the nearest to -0.1? (a) 4 (b) h (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 15.43.\nAnswer: 3.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1057827 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -86*i + 410 - 273 + 551 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 11 = -5*o - 0*d, -o = 3*d + 9. Suppose -5 = o*t - 17. Calculate the lowest common multiple of t and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115355 is divided by 2617?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/7, 0.103, -2\/11, 3\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 60034656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 51039948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 1 = -19, -48 = -5*w + 2*n. Suppose -4 + 2 = -y. Solve -z - y*z - 11 = -k, -2*z = w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 357.7 + -357.7. Sort 1, -103, g, 0.4 in increasing order.\nAnswer: -103, g, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wlluwllwylwllwwuw. What is prob of picking 3 w?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 321053 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9993*y**3 + 16810*y**3 + 1 - 6812*y**3 - 1.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 10:27 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13\/6 - 47\/18. Let t = 26503\/31 - 855. Which is the second smallest value? (a) t (b) -0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48336 = 8*r - 48488 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4)\/i)**20\/(i**(2\/3)\/i*i**5) assuming i is positive.\nAnswer: i**(-314\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 q, and 1 v when three letters picked without replacement from {b: 2, o: 1, v: 2, n: 1, q: 6}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -22 + 3 + 10 - (5 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -154.6 and 0.1?\nAnswer: -15.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*a - 41, 0*q = -5*a - q + 61. Let i = 31 + -29. Solve l = -i*l + a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 + 1772?\nAnswer: 1760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -2*d + 47. Let t = d + 29. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*i**2 - 264375*i + 17924 = 0.\nAnswer: -4481, 4\/59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*t**2 - 53*d + 8*t**2 + 3*t wrt t.\nAnswer: -2*d + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19217 is divided by 6405?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 7*m + 78. Let h be l(-13). Let a be h\/(1*(8 + -7)). Solve 4*d - 4 = 4*z + 20, a = -z - 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.53038 centuries to millennia.\nAnswer: 7.153038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-40)\/15)\/(-8)*(0 + 6). Let t(s) = s**3 - 3*s**2 + s. What is t(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 61, -2, -4, 1 in ascending order.\nAnswer: -4, -2, 1, 7, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - ((-1 - 3) + 3)) + -8 + -1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340609?\nAnswer: 47, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.192104 - -0.3921085. Let j = 0.2 - m. What is j rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135734 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.05 (b) 1792\/9 (c) 0.05 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 198151724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + -6)\/(54\/36)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -580203\nAnswer: 1160406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1031 + -575. Let c be j\/(-60) + 2 + 6. Solve -6\/5*x**2 - c*x**3 - 2\/5 - 6\/5*x = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*m + 3*b, 0*m - b + 9 = 4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-8)*(-16)\/(-60).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -21. Let j(s) be the second derivative of s**3\/6 + 16*s**2 + 4*s. Let w be j(h). Calculate the greatest common divisor of 11 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 4*r - 3*r)*(2*r - r + 0*r) + 0*r**2 - 3*r**2 + 4*r**2 - r - 2*r**2 + r + (2*r - 2*r + 2*r)*(2*r - 1 + 1) - 93*r + 93*r - 16*r**2.\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = 5*d - 7*c, -c - 2 = -1069*d + 1072*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1420)\/(-28) + (1 - (-30)\/(-28))\/((-444)\/1776).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921026?\nAnswer: 2, 17, 103, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -17*v**2 - 4*v - 207. Let f(z) = -8*z**2 - 2*z - 104. Let r(a) = -5*f(a) + 2*h(a). What is the derivative of r(g) wrt g?\nAnswer: 12*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**6\/120 + k**4\/24 + 10*k**2. What is the second derivative of z(x) wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52528*b**2 - 2*b + 52528*b**2 + 88*b**3 - 3)*((3*b - 3*b - b)*(0*b + b + b) - 5*b**2 + 13 - 13).\nAnswer: -616*b**5 + 14*b**3 + 21*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 23*n**3 - n**2 - n + 1. Let c be (-6)\/((-12)\/(-4)) - -3. Let k be p(c). Suppose 15 = d - 227. Calculate the greatest common divisor of d and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18942 * 22.\nAnswer: -416724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 8856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 60*r**2 - 17846*r - 1092259. Calculate n(-61).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 1182818?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -43. Let d = -10 - -11. Calculate the lowest common multiple of (-360)\/h + (-4)\/14 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -986d (base 15) to base 8\nAnswer: -77026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 12, -2, 3, -1\/8, 151, -5?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 176 - 125. Let l(a) = -a**3 - 46 - 6*a + o + 7*a**2 - a. What is the lowest common multiple of 5 and l(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49851.\nAnswer: 3, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 - 102. Let k = p - -116. Let r = 74 - k. Calculate the remainder when 41 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 + 8484*y + 244349. Calculate p(-29).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 67813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20)\/(-3))\/(-1) + 14\/(-42). Let z(p) = p - 15. Let x(m) = 2*m - 26. Let j(t) = 4*x(t) - 7*z(t). Determine j(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + -14 - (-5 + (-1 - -5)). Which is the fourth biggest value? (a) 1 (b) 7 (c) -5 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + 25*(63735\/9 + (-23)\/(-69)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -14196*h**3 - 29044*h + 40. Let r(o) = 4730*o**3 + 9681*o - 14. Let m(l) = 7*i(l) + 20*r(l). Find the second derivative of m(s) wrt s.\nAnswer: -28632*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + (2*sqrt(133) - sqrt(133)))*-2)\/(sqrt(42)\/(sqrt(12)\/sqrt(2))) + -1.\nAnswer: -4*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o - 6. Let h be f(3). Let s = -45 + 49. Differentiate 5 - 21*w**s + h*w**4 + 6*w**4 + 4 wrt w.\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245849 to the power of 1\/2, to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -944 <= -944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4412085 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 8:36 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 173778.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30084098*a**4 - 42*a + 164513 wrt a?\nAnswer: -361009176*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*y - 90 + 90)*(-4*y + 3*y + 3*y)*(-11 + 13 - 26) to the form m + l*y + s*y**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - 5*f + 2*f)*(2*f**3 + 3*f**2 - 3*f**2) + (f**2 + 3*f**2 - 3*f**2)*(0*f + f**2 + 0*f) as d*f**2 + q*f**3 + g*f**4 + k*f + l and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 125437547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 4. Let k be c(6). Let z be (-14)\/10 + k\/5. What is the units digit of 1 + (11 - (2 + z))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5315 and -517761.\nAnswer: -517760.4685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**4)\/(o\/o**(-2)))\/(o\/(o\/(o\/(o\/(o**(-1\/2)*o)))))**(13\/2) assuming o is positive.\nAnswer: o**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {h: 5, o: 5, u: 8}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (((-36)\/(-81))\/2)\/(44\/495*-3)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-two fifths of a hour?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 13*o**2 - 11*o + 48. Give c(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 70 = -5*h + 37, -86 = -5*h - 3*z. Let s(v) = 21*v - 2. What are the prime factors of s(h)?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8583673961.\nAnswer: 7669, 1119269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -48.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90322 is divided by 17981?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 67218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 118780730*z**2 + 1763607668026246*z + 1763607786806978.\nAnswer: 2*(z - 29695183)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 166368*h**2*j**4 + h**2 + 3*h*j**4 + 60*h + 346 wrt j.\nAnswer: 665472*h**2*j**3 + 12*h*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8973 a factor of 3333622041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2060576812 rounded to 5 dps?\nAnswer: 0.20606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2194 + -1153. Does 35 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62198*y + 5940 = -62033*y for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 266, 40, -186, -412, -638, -864?\nAnswer: -1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 2084?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.7 less than -264.379?\nAnswer: -238.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**5\/3 + 154*q**4 + 26908*q**3\/3 + 25988*q**2\/3 - 8970*q - 26450\/3 = 0?\nAnswer: -115, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -21.6 * 442179\nAnswer: -9551066.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.66 + 6.34. Let h = -0.13 + -0.07. Sort -1, q, 0.5, h.\nAnswer: -1, h, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 181*d - 7534. Calculate b(-116).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) 0.2 (c) 1 (d) 5 (e) -0.23 (f) -34\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4.04 or -2\/3?\nAnswer: 4.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 124055137 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 3*m = 8. Let c be 40\/(-15)*3\/m. Let f(y) = y + 7. Let u(s) = -s - 6. Calculate c*f(k) - 5*u(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 16) in base 5?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 4*r - 7, 5*r - t = 3*t + 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, w: 5, p: 2, y: 10, n: 1, m: 1}. What is prob of picking 1 m and 1 w?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f - f - 2*f)*(-3*f + f - f)*(-2*f + 3*f + 2*f) as z + j*f**3 + v*f + t*f**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1681896 and 51017512?\nAnswer: 153052536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 (base 13) in base 12?\nAnswer: 2b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 9*g**2 + 8*g + 4. Let s be h(8). Suppose -s = -2*j + 26. What is the highest common divisor of 30 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-2) + 106\/(-12) and 12*(-189)\/168*(-12)\/33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2598*j**2 - 1077*j**2 - 601*j**2.\nAnswer: -4276*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, -8, -21, -3, -1 in descending order.\nAnswer: 47, -1, -3, -8, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 34478*m. Let c(z) = z. What is a(c(y))?\nAnswer: 34478*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (10 + 48)\/(2\/4 - 0)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -2, 9\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7.85331g?\nAnswer: 0.00000785331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 438*j**5 + 2*j**4 - 5071*j?\nAnswer: 8760*j**3 + 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/2 of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 512 - 463 = 0. Suppose -5*t + 234 = 2*s, 0 = -2*s - 2*t + 51 + i. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -5*g, 10*g = 4*v + 5*g - 64. Calculate the remainder when 2592 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109450 rounded to the nearest one thousand?\nAnswer: 109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 1932*r + 4. Let m(n) = -1892*n - 5. Let u(j) = 4*m(j) + 5*t(j). Let v(p) = 2*p. Give v(u(z)).\nAnswer: 4184*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*4*(2\/3)\/(72\/9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13, 8, -1, -14, -31?\n\"Answer: -2*x**2 + x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 28, 125, 312, 619, 1076?\nAnswer: 1713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/8)\/(60\/(-8)*(-210)\/(-2800))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 33219006.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117953?\nAnswer: 11, 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 380934.\nAnswer: 380929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*n + 64 = 0, a + 5*n + 2 = 2*a. Let u(l) = 0*l + 2*l**2 - a*l**2 + 0*l. Let b(j) = -2*j**2. Calculate b(u(o)).\nAnswer: -1250*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -15*v - 24. Let m(x) = -7*x - 12. Determine 13*m(d) - 6*y(d).\nAnswer: -d - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a hour in seconds?\nAnswer: 3240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-21)\/98*((-1097)\/(-60) + 56\/(-280))\nAnswer: 31\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2506602681?\nAnswer: 3, 11, 31, 241, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cd - -5?\nAnswer: -c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*(sqrt(76) + 2) - (-6*(sqrt(114)\/sqrt(6) - sqrt(19)) - (sqrt(95)*1)\/sqrt(5))**2.\nAnswer: -8*sqrt(19) - 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31431645 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*w = 36*w + 3*x - 29, -2*x + 45 - 31 = -11*w - 59 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212112 + -12?\nAnswer: -212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -11 - 4. What is the third derivative of -3*o**r + 2*o**2 + 5*o**2 - 4*o**2 wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -28, -68186, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 94965114 a multiple of 728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2555*j - 461110 + 461110 to g*j + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1251 - 821 = 0. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 13*i + 3. Let u be y(13). Suppose 0 = u*h - 3, -3*h - 4 = -2*w - h. Find the third derivative of -8*f**3 - 7*f**w - 5*f**2 + 17*f**3 wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32\/4 + 0 + -2. Let i be m - (5 + -1 - 1). Is (-271*2 - i)\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 8*v**2 + 8*v + 12. Let n be f(9). Let l(p) = p + 4*p - 3*p - p - n. Let o be l(8). Let s(b) = -b**3 + 6*b**2 - 7*b. What is s(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104342331 (base 5) to base 11.\nAnswer: 298688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2923 - -1.63463448?\nAnswer: 2924.63463448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2, -10, 3, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 599786 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 0*f**4 + 1\/300*f**5 + 1\/900*f**6 + 3*f + 0*f**2 + 1\/6*f**3 + 0. Let x(t) be the second derivative of y(t). Factor x(z).\nAnswer: 2*z*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -3, 3, -2 in ascending order.\nAnswer: -5, -3, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-8))\/(9\/(-12)). Let q = -3.7 - 0.3. Put 0.02, q, o in increasing order.\nAnswer: q, 0.02, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -88, -2, -3, 5, -33, 57 in decreasing order.\nAnswer: 57, 5, 0, -2, -3, -33, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32459072 and 36800?\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 2*p + 14, -3*c - 3 = -5*c + p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**3\/4 + 119*t**2\/4 - 569*t\/2 + 448 = 0.\nAnswer: -128, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 0 - 12082\/(-863).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -934*p + 1860*p + 1214 - 925*p - 1214.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -524 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -77 + (32 - (22 + 10 + -27))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2370 divided by -790?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21, -91, -159, -225, -289?\n\"Answer: w**2 - 73*w + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*j - 216 - 202, -163 = -2*j + 3*o. What is the highest common divisor of j and 664?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1089)\/66*(-88)\/6. Suppose -l = -9*b + 1. Solve 5*x - 2 + b = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1791 divided by -4?\nAnswer: 1791\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 140, 72, -22, -142, -288?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/156697, 0.2, 1, -0.5, 32 in descending order.\nAnswer: 32, 1, 0.2, -2\/156697, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 326670.3 * -0.07\nAnswer: -22866.921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.024, -2\/7, 474\/7 in ascending order.\nAnswer: -2\/7, 0.024, 474\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**6\/80 - 7*l**5\/5 - 115*l**4\/16 - 29*l**3\/2 + 1214*l**2. Factor p(s).\nAnswer: 3*(s - 58)*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211, 842, 1901, 3388, 5303, 7646, 10417?\nAnswer: 13616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.318, 2, -1\/2?\nAnswer: 2.318","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 3*b. Let i be c(-2). Suppose -4*g - 3*h = -7, -i*h + 2 = 3*g - 3. Is (-20)\/(-12)*3 + g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -416940 divided by 4.\nAnswer: -104235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 9. Let p(h) = 2*h**2 - 6*h + 8. Let b(d) = -d**2 + 4*d - 5. Let w(j) = u*p(j) + 8*b(j). Factor w(q).\nAnswer: 2*q*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*sqrt(242)*2*-6 + sqrt(242) + 0 + (sqrt(242) + 2 - sqrt(242)) + -4) + -2.\nAnswer: -10 + 2156*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {s: 15, i: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-4)*(-24)\/3. Let h be (0 - 1) + 0\/1. Let l = h + c. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -32\/29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 q when two letters picked without replacement from {f: 1, i: 1, q: 3, h: 1, b: 6, z: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 - 12*i**2 - 2*i - 1. Give m(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 16, 2*k - 4*y - 18 = -y. Let c = 11 + -4. Suppose c - 43 = -4*o. Solve 0 = -k*u + 3 + o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z - 16*z + 3*z - 15*z as b*z + h and give b.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -268 + 4554\/17. Let m = 201 - 201.1. Let t = -3 - -4. Which is the biggest value? (a) t (b) j (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 6*q**2 + q + 38. Calculate the remainder when j(-12) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, v: 1, n: 1, g: 1, a: 1}. Give prob of picking 1 n and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 7077.\nAnswer: 7077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -5.5. Let i be ((-1)\/(-3))\/((-8)\/(-15) + (-1672)\/760). Sort -6\/5, q, 0.1, i in decreasing order.\nAnswer: 0.1, i, q, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**5*q**(-1\/9)\/q*(q*q**1)**(1\/33) assuming q is positive.\nAnswer: q**(391\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1284.0000002731 + 1284. Round i to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 11 = 5*w + 5*k, 4*k - 8 = -4*w. Solve 0*c + 3*c + w = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 1)*(6 - 3 - 1 + 2*j).\nAnswer: -10*j - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0041086951 to four dps.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2810)\/(-55) + (-10)\/110. What is the highest common factor of 289 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -52*l**2 - 2*l - 45. Let u = -39 - -41. Let f(k) = -625*k**2 - 25*k - 540. Let c(n) = u*f(n) - 25*o(n). What is the derivative of c(z) wrt z?\nAnswer: 100*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*f + 76, 4*f + 4*s - 14 + 50 = 0. Let u(y) = -y + 31. Let o be u(f). Suppose 4*d - 31 = o. What is the remainder when 110 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 j when four letters picked without replacement from jbjjyyybyhyky.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2772 = 12*y. What is the greatest common divisor of y and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -33835628.\nAnswer: 33835628.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -521883590319.\nAnswer: -521883590318.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 114 - 83. Suppose 2*g - 17 = -5*z - x, -4*g - 3*z = 0. Solve -g*q + 16 - 4 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3032112012 (base 4) to base 7.\nAnswer: -10120053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1724 - 3?\nAnswer: 1721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 18 + 0)*(28*n + 5*n**5 - 2 - 28*n).\nAnswer: -15*n**5 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*(-2*sqrt(495))\/sqrt(11))\/(sqrt(324)\/(5*sqrt(18)\/sqrt(2))) + -2.\nAnswer: -5*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -269716 or -14294880\/53?\nAnswer: -269716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 8*g - 3. Let w be j(8). Let z(m) = -m**3 - 3*m**2 + 2*m + 4. Let v be z(-3). Let y be v\/w + 0\/1. Which is greater: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 71 = -18*d - 50 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, r: 4, l: 1, y: 2}. What is prob of sequence lr?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7397*r - 4900 with respect to r.\nAnswer: -7397","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 32.4, 0, -0.3, -2.\nAnswer: -2, -1, -0.3, 0, 32.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 11*r**2 - 43*r - 9. Let n(j) be the third derivative of j**5\/12 - 7*j**4\/8 - 2*j**3\/3 + 10206*j**2. Give -9*n(f) + 4*t(f).\nAnswer: -f**2 + 17*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3262 + -3260. Let d = 12 - 7. Let a(q) = -q**3 + 9*q**2 + q - 12. Let m be a(9). Sort y, m, d in ascending order.\nAnswer: m, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**6 - 3155019*h**3 + 6*h**2 - 13*h - 5724?\nAnswer: 120*h**3 - 18930114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 288.1*0.683\nAnswer: 196.7723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 890*x**3 - 3*x**2 - x + 4. Suppose o = 2*f + 6, -3*f = 4 + 5. Let t be o - ((-24)\/(-3))\/2. Let g be p(t). What is g rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 405806.9 years?\nAnswer: 4869682.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-13)*q*q\/q**0 assuming q is positive.\nAnswer: q**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqtqrmqdrtaqq. What is prob of picking 1 a and 1 t?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -22*i + 607. Calculate b(-17).\nAnswer: 981","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -91 or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -3*x**7\/280 + x**6\/20 - x**5\/10 - x**4\/24 + 4*x**2. Let z(h) be the second derivative of p(h). Factor z(q).\nAnswer: -3*(3*q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/31090 and -19\/50.\nAnswer: 155450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-156)*-138 + 6\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*n - 6840159752 + 2324459752 = 0. Round n to the nearest 1000000.\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.219 - 84.219. Let m = u - -84.2. What is the nearest to -1 in m, 5, 0.25?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8c + 3?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010000 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(-3)\/(-9) + 1. Let s be (3 - 0) + m + -3. Let k(o) = 2*o**2 + o - 1. Give k(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -3168\/5 (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.29 + 723.\nAnswer: 725.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.09, 0, -0.6, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8601\/44 or -196?\nAnswer: -8601\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 9. Suppose -2*b = -5*b. Calculate the lowest common multiple of 8 and m(b).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 2:25 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30714 + -30719. Let c(r) = 8*r - 3. Let a(q) = q**2 + 16*q - 7. Give g*c(x) + 2*a(x).\nAnswer: 2*x**2 - 8*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 8*p**2 - 7*p + 2. Let o be f(-7). Let l = 4 - 1. Suppose -5*r = 3*v - 15, -l*v - 13 = -5*r + 2. Solve v = -o*w + 3*w + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 + 86. Put -16, 0.1, y in decreasing order.\nAnswer: y, 0.1, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -7. Suppose -z*i + 4 = -16. Find the second derivative of -i*h**3 - 3*h + 4*h**3 - h**5 + 0*h**5 wrt h.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 108?\nAnswer: -10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence to when two letters picked without replacement from tkkrootoktkooot.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -245 divided by 3.\nAnswer: -245\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 52195 divided by 949\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29928823 is divided by 2727.\nAnswer: 2725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, -11, -174, -401, -692?\nAnswer: -1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 165 - 12 = -0*j - 18*s + 11, 0 = -4*j + 2*s - 5*s - 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -567*l - 536*l + 2077*l - 567*l - 536*l.\nAnswer: -129*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 7*n + 1. Let a(y) be the first derivative of y**3\/3 - 3*y**2 - y + 4. Suppose -9*j - 212 + 266 = 0. Determine j*a(l) + 5*b(l).\nAnswer: l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -275673\/20 - -13787. What is the common denominator of -113\/6 and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 48\/5 of a millennium?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**5\/20 + 11*u**4\/12 + 7*u**3\/3 + 4*u**2 + 15*u. Let o be q(-9). Calculate the greatest common divisor of 352 and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-3))**(-15))**(-2\/75) assuming c is positive.\nAnswer: c**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.0546949 micrometers?\nAnswer: 54.6949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5465 - 5380. Calculate the greatest common divisor of 289 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b*b**(-2\/11)))\/b)\/b)**(-29))**27 assuming b is positive.\nAnswer: b**(15660\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*(3*sqrt(700))**2.\nAnswer: 94500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5*x**2 - 5*x - 6. Let g(k) = 2*k + 9*k**2 + 6*k - k + 11 + 2*k. Let f = -24 - -17. Give f*h(q) - 4*g(q).\nAnswer: -q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 243516275?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 5*a + 6. Let q be h(-4). Suppose i + q*o = 10, 4*i = 4*o + 1 + 3. Let j(n) = n - 4 - i*n + 2*n. What is j(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 7*s**2 - 25*s + 5. Calculate j(-8).\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 3*o**2 - 6*o. Give i(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13077 + 13082. Suppose 2*u + 5*q - 23 = 0, -5*q + 8 = u - 11. Let g be 4*2\/(-4)*-2. Solve 4*y = -t + w*t + 8, y + g = u*t for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 7:29 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -56*t**4\/11 - 118*t**3\/11 - 6*t**2 - 2*t\/11 + 2\/11 = 0. What is t?\nAnswer: -1, -1\/4, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**3\/3 + 2420*r**2\/3 - 243208*r - 489648 = 0.\nAnswer: -2, 606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 45075955.\nAnswer: 45075954.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28834 - -29866. What is the least common multiple of 5 and k?\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 + 113. Suppose -d + 41 - 8 = -3*t, 0 = -3*d - 5*t + m. 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: Let q = 639 + -1486. Let m = -691 - q. What is the greatest common divisor of 60 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214421184 divided by -4?\nAnswer: -303605296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19119127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 86?\nAnswer: 25.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + n - 3)*(1 - 2*n - 1 + (-2*n + 0*n + n)*(-1 + 1 + 1) + 2*n - 3*n + 2*n + 70*n + 74*n - 98*n) to v*n**2 + u + q*n and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34289 - 34289 - 165*r.\nAnswer: -165*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lslssl. Give prob of sequence slsl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/15)\/(26\/(-65))*-14)\/1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*q - 166, -61 = -q - 68. Let y = 4 - -4. Calculate the remainder when 2\/(-4) + 684\/y is divided by s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.039 and 92.\nAnswer: 92.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6460584, -6460585, -6460586?\n\"Answer: -f - 6460583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*f + 2*d, 3*f - 14 = -4*d. What is the tens digit of 58\/5 - f\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69513\/1598*(-36)\/87?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -24\/31, 1, -34?\nAnswer: -24\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 k, and 1 e when three letters picked without replacement from uuuuuuuckeujuejuzeu?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -646 - -654. Solve 0 = -19*c + t + 87 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - ((-14 - 16) + 7) - -22?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/4 + (-555)\/(-444). Let j(i) = 2 + 0*i - 3*i + 2*i - i**2. Let y(r) = -r**2 - r + 1. Determine d*j(q) - 3*y(q).\nAnswer: 2*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*d**6 - 1264*d**3 - 279*d**2 + 10*d - 1?\nAnswer: 3840*d**3 - 7584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -10.3 (b) 0.2 (c) 1 (d) -65 (e) 4 (f) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 231 - 228. Suppose -h*b = -b. Solve -5 + b = 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p + 22. Let i be x(16). Let m = i + 55. Let w be (2\/m)\/((-12)\/54). Solve -a + 6 = w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 104, 702, 2076, 4508, 8280, 13674, 20972, 30456?\n\"Answer: 47*p**3 + 106*p**2 - 49*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccbppppbpcpccpccccp. Give prob of picking 2 c.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/8 (b) -10 (c) 2\/23 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 4*q + 10. Let f be z(-8). Let p = -13 - f. Let y(a) = -3*a - 7. Let x be y(-5). Solve 5*h - 22 = 3*k - p, 4*k + x = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 - 30 + 252*p + 63*p + 67 to the form y*p + v and give y.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 19*q - 426. What is t(13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1295.\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1309 + 9175\/7. Sort 6, 4\/5, c in increasing order.\nAnswer: 4\/5, c, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 166*p - 2534. Let i be n(17). What is the highest common factor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*f = -301*f + 22816. Does 152 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 47*o - 6. Let k be j(47). Let w = 35 - 65. Let p = w + 26. Sort 0.3, k, p, -2.\nAnswer: k, p, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - 27. Calculate the remainder when 63 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -16*c**5 - 2*c**3\/3 - 77*c + 60. What is the derivative of s(g) wrt g?\nAnswer: -320*g**3 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.017 (b) 2 (c) -5 (d) 0 (e) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16592737 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-144))\/((-1134)\/13122).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (658\/3055)\/(4\/((-240)\/(-21)))\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1449 + 5182?\nAnswer: 6631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 60 * -1.45\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213789.\nAnswer: 3, 71263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3405240 (base 6) in base 9?\nAnswer: -282246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -333 - -947. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q + 32. Suppose -l - 594*f + 592*f + 20 = 0, 10 = -2*l + f. Solve q*m - 17*m + 4 = l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 39, -8, -3, -453 in increasing order.\nAnswer: -453, -8, -3, 1, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -0.02\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + m**2)*(0 + 0 - m)*(-7 + 29 + 15).\nAnswer: -37*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 2 - (3 + -2)) + 14?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3452141 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5851, 23307, 52411, 93163, 145563, 209611?\nAnswer: 285307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40.2? (a) -1 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6863 by 22.\nAnswer: 6863\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -126.0526 and 70019.\nAnswer: 69892.9474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 5*t**2 + 8*t - 8. Let f be q(5). Let p(c) = 37 - c**2 - f + 0*c**2. Determine p(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 3*l + 6*l + 16 = 0, -4*l = -s + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*-79)\/(-1) + -14 + 14 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f - 20*f - f = -844233. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5491303 * -0.3\nAnswer: -1647390.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -351 - 1?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/288934 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - y + 739, -2*p + y + 9 = -356. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o - 2. Let y be u(-2). Suppose -5*x = -4*w + 1, 7*w - 5*w - y = 2*x. Suppose -5*a = 4*d - 36, -d + x*a = 1 - 10. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2\/6 - 73*h\/2 = 0. Calculate h.\nAnswer: 0, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4825*u**3 + 9649*u**3 - 4820*u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -242\nAnswer: -24.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.3 (b) -4\/5 (c) 223\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34.9 - -35. Let w = 68 + -77. Which is the biggest value? (a) -5 (b) n (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 4:04 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + (1*sqrt(539) - sqrt(539))) - ((sqrt(539) + 1 - sqrt(539))*6 + -5))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 17*m + 155. Let b be s(-9). Solve -6*t - 40 = b*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -5, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-14) - 0 - 38312\/(-56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57 and 4218.\nAnswer: 4218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.96827ml in litres?\nAnswer: 0.00096827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 4. Suppose -5*r + 3*a - 30 = 0, 2*a - 5 = -j*r - 2*a. Let i = r + 5. Calculate the least common multiple of 1 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ehj when three letters picked without replacement from hjechchccjjjhchhec.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*h*t**4 + 4*h*t**2 - 661552*t**3 + 9*t**2 - 5*t + 59591 wrt t.\nAnswer: 624*h*t - 3969312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 9:46 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 14\/9 (b) -8 (c) -554 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 15715*v - 208*v - 255*v + 6979*v in the form q*v + z and give q.\nAnswer: 22231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zd when two letters picked without replacement from bggedooggzzz?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.1 - 4.1. Which is the nearest to -0.1? (a) -0.4 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103\/6, -0.02, -1.2, 1, 2 in decreasing order.\nAnswer: 2, 1, -0.02, -1.2, -103\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1342*o - 9393. Give u(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 13*t + 3. Calculate s(-11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/23, -507, -2\/17, 4 in descending order.\nAnswer: 4, 1\/23, -2\/17, -507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**6\/120 - l**5\/15 - l**4\/12 + l**2. Suppose 5*v - 2*x + 29 = -5*x, 3*x = 3*v + 3. Determine a(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4)\/(i*i\/i**(-1\/4)))**(4\/19)\/((i**(-1\/4))**(32\/7)*(i*i\/i**2)\/i**5) assuming i is positive.\nAnswer: i**(642\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*u**2 - 31*u**2 - 36*u**2 - 32*u**2 + 5*u.\nAnswer: 5*u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 100111001?\nAnswer: 100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + m - 30 + 8*m**2 - 4*m.\nAnswer: 8*m**2 - 3*m - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 0*n - 3*n**2 + 1 - 2\/3*n**3 + 1\/12*n**4 + 1\/60*n**5. What is y(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**2 - 6*m**2 + 2*m + 0 + 2 - 3*m**2 as k*m**2 + s*m + u and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*r + 4*c, 4*r + 3*c = 1 + 12. Is 30 a factor of 25*r*(10 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17010056 and 15092?\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*f, 179 = 4*m - 2*f - 5703. Is 56 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -345.8 to the nearest 10.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*s + 71*s + 4*s)*(0*s**2 + 3*s**2 + 0*s**2)*(3*s + 0*s + 0*s).\nAnswer: 873*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1974 and 7728774.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -620*f**4 - 35*f - 1 wrt f.\nAnswer: -7440*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 325856209 to the power of 1\/2, to the nearest integer?\nAnswer: 18051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 274339.4 hours?\nAnswer: 987621840000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a + 15. Let w = 1596 + -1599. Let g(b) = 4*b + 14. Calculate w*l(j) + 4*g(j).\nAnswer: j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-6) + 2\/3. Let o(i) = 24*i + 2. Let p be o(c). Let y = p - 29. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.4 - -1.6. Let f = i + -1. What is the smallest value in 1\/3, -2\/13, f?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 9*z**2 + 9*z + 2. Determine g(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 24*c**2 + 27*c + 56. Give y(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 10:53 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -105 + 91. Let v = -9 - w. Sort -2, v, 0.2, 2\/11 in decreasing order.\nAnswer: v, 0.2, 2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((sqrt(160) - sqrt(160)*2) + sqrt(160) + sqrt(160))*-5)\/sqrt(8))\/(-3*2*sqrt(360)))**2.\nAnswer: 25\/648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -252 + 663. What is the common denominator of -49\/10 and l\/(-4)*(-2)\/(-9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-21))\/((-2)\/(-14)). Suppose 3*g + 3 - 6 = 3*p, 0 = -3*p - d*g + 7. What is the greatest common factor of p and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15633*d**5 + 4610*d**4 - 541473319*d**2 wrt d.\nAnswer: -937980*d**2 + 110640*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzbq when four letters picked without replacement from {q: 2, t: 8, k: 1, z: 3, b: 1, u: 2}?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 123 + -60a?\nAnswer: -497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1077303 (base 9) to base 6.\nAnswer: -20253433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-5)\/(-2))*144\/3. Let i = l + 131. What is the remainder when 107 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1972 = u + u. Suppose 0*o - 2*o + u = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4103 times 0.1\nAnswer: 410.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 9, -q - 141 = 4*t + 154. Let d = 73 + t. Suppose 4*z - 10*z + 24 = d. Solve 4*r = 3*v - 4, -2*r + z*v = r + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3 = 5. Let j be ((-4)\/4)\/(p\/4). Is (j - (-12)\/4) + 30 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 11 = 95. Suppose -6*f - 146 = y. What is the units digit of (-28)\/f + 50\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 603136930 divided by 5\nAnswer: 120627386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7428 and 7428.\nAnswer: 7428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 73521.36 millilitres?\nAnswer: 73.52136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 558 = -7188*q + 7494*q - 7398 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yg when two letters picked without replacement from {i: 8, g: 2, y: 2, l: 3}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/19)\/y**(2\/17))**(17\/2))**50 assuming y is positive.\nAnswer: y**(-100\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*j - 65*j - 18*j - 1152 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33948 and 38007.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1210?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 13. Suppose i*j - p + 11 = 4*j, -4*j = p - 44. What is the lowest common multiple of 3 and j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-12)*i*i**(-1\/3)*i*i\/i**(-2\/79)*i\/(((i**(-29)\/i)\/i)\/i) assuming i is positive.\nAnswer: i**(5615\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 10:29 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-8 - (-9)\/36)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - (2*sqrt(147) + -3) - 1*sqrt(147)*5) + (sqrt(147) + 3 - sqrt(147)) + -2 + 2)**2.\nAnswer: -504*sqrt(3) + 5328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36884402 and 202864211.\nAnswer: 405728422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmo when three letters picked without replacement from {w: 1, f: 1, m: 7, o: 4, g: 4, q: 2}?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115 - -115. Which is the nearest to w? (a) 27 (b) -2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h**6 - 1642*h**4 + 143*h**3 + h**2 + 8275440*h wrt h?\nAnswer: 480*h**3 - 39408*h + 858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -55*w + 57*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1204.8 times -160?\nAnswer: 192768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -0.1, -229?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, m: 2}. What is prob of sequence mm?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, m: 11}. Give prob of picking 2 m.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1297 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14.1 in 0.1, 2, -3, -4477?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (4 - (3 - -5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -159 + 175. Suppose -w - j = -4*a, -2*a + 3*w = 1 - 19. Solve -a*z - 2 = -2*z - 2*c, -3*z - 4*c = -24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 10*h**2 - h + 23. Let d be w(-10). Let c(i) = -10*i**2 + 4*i + 4. Let s(b) = -81*b**2 + 33*b + 33. Give d*c(u) - 4*s(u).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/3 and -89\/702.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -57, -1\/110?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + 4 + -2)*-1. Let k be -2 + (-2 - (-10)\/w). Suppose -2*x - k = -7. Let f(q) = -q**3 + 3*q**2 + 4*q - 4. What is f(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 4:30 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9549*a**2 + 16864*a wrt a.\nAnswer: -19098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -x + 23, 0*h + h + 20 = 5*x. Solve -4*v + 2*p - x - 3 = 0, 5*v + 30 = -2*p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14 - (-2144)\/160) + (-1 - (-259)\/115). Let i = 3 + -2. Is i less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 103 = -f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86.749 - -87. Let w = -0.249 - v. Which is the second smallest value? (a) 5 (b) w (c) 2\/3 (d) 1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 + -58.8. Which is the nearest to 2? (a) -1\/7 (b) -0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 751 + -8259\/11. Which is the smallest value? (a) 0 (b) v (c) -0.4 (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - k + 5*k + 12, -5*r + 4*k + 30 = 0. Solve 3*m - 4*b + 10 = m, -r*m - 2*b + 20 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -w - 2. Let y be (-6)\/(-8)*(-6)\/9*0. Suppose 0 = -s - 3*a - 14, y = 3*s + 2*s - 3*a - 20. Calculate the greatest common divisor of w and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-218.\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -210290 + 106824. Let k = -60831 - w. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13731\/17 - 2497359\/3094. Find the common denominator of 11\/130 and d.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46787904 divided by -11204?\nAnswer: -4176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -5*i + y + 12, 0 = -5*i - 3*y - 25. Suppose -z = 1 + 2. Let f = z - i. Let x(k) = 8*k - 3. Give x(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -1. Suppose x = w - 1. What is the derivative of -4*h + 2*h**w + 4*h + 1 wrt h?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z**3 - 18*z**4 + 7*z - 16*z**3 + 18*z**3 wrt z?\nAnswer: -216*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 660 and 1315446.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 199 - 198.8. Which is the nearest to 5? (a) -4 (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-4)*(-2)\/4. Let q = 8910 + -8896. Put -4, q, 3, f in ascending order.\nAnswer: -4, f, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 28 = 3*p. Let n(s) = -2*s - 3. Let d(t) be the first derivative of -3*t**2\/2 - 7*t - 1612. Give p*n(r) + 3*d(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 362931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1640)\/78 - (-240)\/9360\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 165890\nAnswer: 6\/82945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7962.973ml?\nAnswer: 7.962973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 1. Let z(r) = -5*r + 6. Let d(b) = -6*i(b) - z(b). Let y be d(-1). Solve 3 = -2*n + y, -2*c = 4*n + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7138922 to the power of 1\/3, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c**3 + 2*c**2 + c + 1. Suppose 14*h - 16*h + 4 = 0. Give d(h).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3609 less than 3608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + -10423.\nAnswer: -10462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 7238, -3, 1\/37, 0.7, 0.3, 0.2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3740656840925 + 3740656840925 - 21*z + 6*z.\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 10*c. Calculate s(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -9*n**3 + 32*n**2 - 73*n + 40. Let a(p) = 28*p**3 - 96*p**2 + 220*p - 120. Suppose 16*t + 2*t + 90 = 0. Let y(b) = t*a(b) - 16*f(b). Factor y(v).\nAnswer: 4*(v - 5)*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(1280) - -2*sqrt(1280))*-3)\/(sqrt(576) + (sqrt(576) - -2*sqrt(576))*-5 - sqrt(576)))**2 + -5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -59*y. Let f(x) = 2358*x. What is 2*f(l) + 81*i(l)?\nAnswer: -63*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2762, -5382, -9862, -16202?\nAnswer: -24402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -9*s**3 - 9*s**2 - 5*s + 5. Let l(o) = -10*o**3 - 12*o**2 - 4*o + 5. Determine 4*f(z) - 3*l(z).\nAnswer: -6*z**3 - 8*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7450 + -4424. What are the prime factors of t?\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 69\/4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5210, -10418, -15626, -20834, -26042, -31250?\nAnswer: -36458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/11)*m*m\/m**(-7))\/((m\/(m\/m**(-4)*m*m*m))\/(m*m**(-8))) assuming m is positive.\nAnswer: m**(97\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - a + 1. Let j(t) = -3*t**2 - 3*t - 4*t**2 + 3 + 2*t**2. Let y(v) = -j(v) + 3*q(v). Let u(x) = -3*x**2 - 3*x**2 + 3*x**2. Calculate u(y(g)).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.816 + 0.116. Let s = -13 - p. What is the smallest value in s, 0, -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 3*c - 90. What is i(11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -8*m**3 - 2*m**2 + m. Let n(h) = 3*h. Let u be n(1). Let g be 2\/u*6\/4. Give l(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8 - (2 - 1 - 0). List the prime factors of 12\/54 + (-250)\/b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h + 34*h = -1420. Suppose -5*l + l = -h. What are the prime factors of l\/7 - 2\/(-7)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/3))\/o)**(-45)*((((o*o**1)\/o)\/o)\/o)**(-41)*((o\/(o**(-2)*o))\/(o\/(o*o*o**7)))**(-4\/37) assuming o is positive.\nAnswer: o**(367\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-53893)\/(-1))\/(-1*10). Let b = -5396 - t. Calculate the common denominator of b and 37\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -21, -34, -47, -60?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 895 is divided by 231.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14361120563 - -48?\nAnswer: 47.85638879437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.15483 + -188.77517. Let y = 189 + a. Sort 1\/3, -3\/8, -1, y in increasing order.\nAnswer: -1, -3\/8, y, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiifiifiiiififhhfif. What is prob of sequence ff?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -198 by -1563.\nAnswer: 66\/521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5852 + -5455. Calculate the remainder when a is divided by 194.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 830156, 1660325, 2490514, 3320729, 4150976?\nAnswer: 4981261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f**2 + 61*f - 941. Calculate j(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1702, -3404, -5106?\n\"Answer: -1702*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*d**2 + 4*d**2 + 7*d**2 - 16 - 2*d - 6 + 8*d to l*d**2 + p + z*d and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42906 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 806 - 806.1. Suppose 0 = -0*w - 3*w - 42. Let k be 3\/6 + 11\/w. What is the nearest to k in 5, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 6*r**2 + 7*r + 6. Let i be l(-5). What is the remainder when (-102)\/3*1*i\/8 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -759146, -1518290, -2277434, -3036578?\n\"Answer: -759144*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 m when four letters picked without replacement from {m: 2, b: 8, u: 2, t: 2, c: 2}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -110d1 - 5?\nAnswer: -110d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 203\/2580 - -1\/215. Let z(x) be the third derivative of -c*x**4 + 0*x + 0*x**3 + 0 + x**2. Let m(w) = -4*w. Give m(z(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -48 - 6. Suppose 5*n - 152 = -8*x + 4*x, -n + 169 = 5*x. Calculate the remainder when x is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - m + 21 = 0, -3*h + m + 11 = -h. Let k = h - 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 o be 13 + -8 + (-106)\/22. Which is greater: 4055 or o?\nAnswer: 4055","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -86, -172, -292, -446?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, x: 2, l: 8, z: 2}. What is prob of sequence lx?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 16. Suppose 7*u - 2*u - n = c, 5*n + 12 = -u. Solve 5 = -u*f - 5*y - 0, -2*f = -y - 14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**2 - 2*z - 7. Let f be y(5). Let l = 149 + f. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157 + 1631*t + 157 + 635*t.\nAnswer: 2266*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1572 + -2299. Is f bigger than -726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 642 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -60538\nAnswer: -5\/60538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/3 - (2870\/(-3) + 6).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**2 - 14*t + 22. Let l be h(-7). Let u = -30 - l. Let f be 161 + (-2)\/(-6)*u. Calculate the greatest common divisor of f and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4+-16383119\nAnswer: -16383115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 4.99. Let b = s - -28.01. Let g = b - 28.0104. Round g to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50923.7 - 0.3.\nAnswer: -50924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-11))\/((-179)\/9845) + 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/10764 and 67\/21294.\nAnswer: 979524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14.9 and 3803559269.\nAnswer: 3803559283.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2242 - -29148\/13. Sort 4, h, -10\/7 in decreasing order.\nAnswer: 4, h, -10\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/7 of a week?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**4\/4 + 17*h**3\/3 + 15*h**2\/2 + 5*h + 925. Give m(-16).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -3*l**7\/7 + 66*l**5\/5 + 2810*l**3\/3 + 3595. Find the third derivative of f(r) wrt r.\nAnswer: -360*r**3 + 1584*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 14 = 2*f. Let v = -118 - -109. What are the prime factors of 166\/f - v\/27?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/4)\/(1\/(-3134722)) + (26 - 32) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-795)\/24 + (-45)\/18 - (-35)\/56.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/6 and 35\/1244.\nAnswer: 3732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = 30 - 6. Let i be (2\/4)\/(3\/6). Suppose -3*m - 7 = -i. Is m less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -224, -4\/5, -2\/15, -1287\/5, -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -2 + 30. Let r(s) = s - 6. Let o be r(g). Find the second derivative of -v - 6 - o - 3*v**4 + 7 wrt v.\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 13*d - 208. Solve -4*b + 2*w = -w - d, -4*b = -4*w - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -3*-1597\nAnswer: 4791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen sevenths of a week in days?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/57 or -1203?\nAnswer: -1203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 + 3 - 5 + 3)*(0 + 1 + 0) + 2*t - 2*t**3 - 2*t.\nAnswer: -t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -837*n**3 - 3*n - 1. Let v(w) = -836*w**3 - 2*w - 1. Give 2*s(j) - 3*v(j).\nAnswer: 834*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 4:52 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -494? (a) 0.2 (b) -3 (c) 8\/3 (d) 0.1 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 15) + 1\/((-3)\/12). Let s(n) = -n - 8. Let g be s(j). Find the second derivative of 16*k**2 - 126*k + g*k**2 + 118*k wrt k.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbw when three letters picked without replacement from ubwwb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjuhmhg. Give prob of sequence mj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 578943*m**4*v - 134*m**3*v**3 - 11*m**2*v**3 + 2*m**2 - 602445*m*v**3 wrt m?\nAnswer: 13894632*m*v - 804*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13223, 13447, 13671?\n\"Answer: 224*y + 12999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 3*r**2 + 11*r - 4. Let b be f(5). Let j be (b + -9701)*(0 - -1). Round j to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35986862 or 2\/3?\nAnswer: 35986862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.941 - -0.059. Let m = 25 + -30. What is the third smallest value in 0.3, x, m, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1\/2, 3\/4, 63, 6\/89?\nAnswer: 6\/89","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1 + 2 - 4 - 2 + (8 - 1 + 5)*(-1 + 2 - 3))*(5 - 3 + 40*y - 3).\nAnswer: -1160*y + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2 = -6. Let b be (w\/10)\/(3*(-12)\/45). Let o = 1087\/7 - 155. Put -1\/5, o, b, 3 in descending order.\nAnswer: 3, o, -1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 19*x**2 + 468*x - 8591. Calculate f(17).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 21*b + 23. Let y be h(22). Let g be 1\/2*(y - -3). Solve -g = -j - 0*s + s, -4*s - 9 = -3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v - 14, -5*v - 26 = 3*g. Solve 190*x = -5*k + 187*x + 2, g*k = -2*x + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -15. Let n be (8\/10)\/(4\/c). Let o(w) be the third derivative of -w**6\/120 - w**5\/20 - w**4\/12 + w**3\/3 - w**2. Give o(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/3 - 13*u - 40\/3.\nAnswer: (u - 40)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1*-1*9*21090\/(-6327)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k - 2*k**2)*(-3*k - 4*k + 2*k) + 4*k**3 - 4*k**3 + k**3 + (-2*k**2 - k**2 + 8*k**2)*((-2 + 1 + 0)*(4*k - 4*k + k) - 6*k + 4*k + k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22, -30, -40, -52, -66?\n\"Answer: -p**2 - 5*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 425*i**5 + 444*i**2 wrt i.\nAnswer: 25500*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1397.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/5, -3, -5005 in increasing order.\nAnswer: -5005, -3, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5013426227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 - 3 = 0. Let a be 18\/((3\/(-2))\/i). Let o = -23 - a. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -9. Let j(i) = -3*i - c*i - 3*i + 24. Let q be j(-7). What is the highest common factor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -18909?\nAnswer: 18903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -25. Suppose -3*w = -9*w - b. Calculate the remainder when 29 is divided by (-15)\/(-1) - (w - 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**3\/5 + 62*p**2\/5 - 384*p + 12384\/5 = 0.\nAnswer: -86, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2*r + 6*r + 2*r**2 - 5*r + 2 = 0. What is r?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100*k**3 - 7*k**2 + 0*k**2 - 10*k**2 - 99*k**3 + 3*k**4 + 2103 + 118 with respect to k.\nAnswer: 12*k**3 + 3*k**2 - 34*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-2))\/((1920\/(-24))\/(-16))*35?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1.58, -13, 7 in decreasing order.\nAnswer: 7, -1.58, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1672630*h**2 + 898648*h?\nAnswer: 3345260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-9))\/(4\/((7 + -6)*-9))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6518*f + 6515*f - 168, 4*x + 20*f - 18*f + 116 = 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -339\/45212 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from gagaggaaaaagggaeaaa?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -1\/6, 0.3, 10, -0.12, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + (3*1*sqrt(88) - sqrt(88)) - (sqrt(88) - sqrt(88)*2*-1))\/((sqrt(968) + 1*sqrt(968))*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8\/21 - -173\/399. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**5 - 2*l**5 - l**5 - 2*l**5 + 5*l**5 - 2*l**5 + (3 - 3 + 2*l**4)*(5*l + l - 5*l) + 60*l + 7*l**5 - 25*l - 30*l.\nAnswer: 9*l**5 + 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 5*i - 8 = 0. Let x(y) be the second derivative of 1\/4*y**4 - 3\/2*y**2 + i*y + 1\/4*y**3 + 0 - 3\/40*y**5. Find a, given that x(a) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 8*n**2 - 13*n - 13. What is the units digit of j(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**20)\/d)\/d)\/d*d\/(d**(-17\/2)*d))\/((d*d*d*d**17)\/d*d*d*(d*d*d\/(d\/d**(-2\/19)))\/d) assuming d is positive.\nAnswer: d**(-1345\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-6)*232\/(-10005)*-23?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -10.904952.\nAnswer: -10.604952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.624 + -0.124. Let i = 7 + -5. Which is the second biggest value? (a) i (b) m (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409557 != 409558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 527*f - 1 + 256*f + 8 + 256*f.\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**3 + 7*q**2 - q + 2. What is k(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**4\/3 + 854*t**3\/3 - 857*t**2 + 4*t\/3 + 3428\/3 = 0. What is t?\nAnswer: -857, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4422527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 148*i - 2143. What is y(16)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3545*c - 156. Is d(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -290888 by -72722.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9615 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 4:49 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 c when four letters picked without replacement from cgcdcdccddd?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1091 to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ommco. Give prob of picking 1 m and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2359126613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 10 = 6. Let h(m) = 6*m. Let c(p) = -p. Determine q*h(x) + 22*c(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-264)\/(-330)*(4 + 486\/(-124)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -9\/16*r**4 + 1\/8*r**6 + 0*r**2 + 53 - 1\/2*r**3 + 0*r**5 + 0*r. Suppose y(b) = 0. What is b?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 39 = 5*x - 1, 4*s + 2*x - 36 = 0. Let j be 6\/s*(-20)\/(-18). Which is the closest to j? (a) 1 (b) -0.02 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*n - 29*n + 157*n + (-2*n + 3*n - 2*n)*(1 + 1 - 4) - 3*n + 2*n + 2*n + 3*n - 2*n + n)*(n + 0 + 0).\nAnswer: 170*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135, -293, -451, -609, -767?\nAnswer: -925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -1255367?\nAnswer: 1255367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1517.0000002074 + -1517. Round j to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17, 79, 183, 329, 517, 747?\n\"Answer: 21*q**2 - q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 314022.42 rounded to the nearest 1000?\nAnswer: 314000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*b**4 - 3*b**4 + 0*b**4 + b**4 - 4*b**4 + 4*b**4 + (b + 2 - 2)*(2*b**3 + b**2 - b**2) to i*b**3 + t*b**4 + z*b + p*b**2 + s and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 2\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -3, -128\/7, 4, 79?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100172?\nAnswer: 2, 79, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 12*o - 12*o**2 - o**3 - 6*o**2 - 11 + 30*o**2. Determine v(15).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 + b**3 - 5 + 0*b**3 - 3*b**3 with respect to b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrvvvvvv. Give prob of sequence rv.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 35 = -41 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = 1. Solve 23 = -m*u + 4*c, -c - c = 5*u + 21 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*b - 19 = 0, -3*n - 9 - 2 = 2*b. Let w(r) = -121*r - 3. Let g be w(n). What is the greatest common divisor of 45 and g?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92 and 32019644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57238477.\nAnswer: 929, 61613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uero when four letters picked without replacement from {o: 1, u: 1, e: 2, y: 1, r: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -116559.7 to the nearest one thousand.\nAnswer: -117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -2*g**7\/105 - 7*g**3\/3 - g**2. Differentiate b(m) with respect to m.\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61309 + 15328 + 40*q + 15326 + 4*q + 15325 + 15330.\nAnswer: 44*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*n**3 + 11*n**3 + 395*n**3.\nAnswer: 351*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 11*p**2 + 23*p - 4. Let a be h(-8). Let z = 4 - 3. Let y = z - -2. Is y smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = 52*f - 43*f. Is f at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-475)\/(-11400))\/((-155)\/(-120))?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 6\/121 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 13*m**2 + 4. Let i = -50 + 37. Let s be p(i). Let t = s - -121. What is the greatest common divisor of t and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-345)\/(-1380)*(0\/(-5) - -2 - 510\/243)\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -569.\nAnswer: -1\/569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 7. Suppose 2*r + f - 3*f = -4, 0 = r - 3*f + 8. Is v at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/11*(-6)\/15. Let i(m) = 2*m**2 + 77*m + 30. Let s be i(-38). Sort s, l, 3 in increasing order.\nAnswer: s, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 851*r - 387*r + 534*r.\nAnswer: 998*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**5 - 2*l**4 - l**3 + 2*l**2. Let b(a) = -a**5 + a**2. Let j(i) = 10*b(i) - 5*k(i). Suppose j(s) = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**4 - 18540*h**3 + 13073 wrt h.\nAnswer: -4*h**3 - 55620*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 12*d**2 - 8*d - 12. Calculate v(11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 413290610 to the nearest integer?\nAnswer: 20330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*x + 3*w, 0 = 2*x + 200*w - 204*w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2268) + sqrt(2268))*-6 - -2*sqrt(2268)*1)\/(3*-1*sqrt(81) + sqrt(81) - (2*sqrt(81) - sqrt(81))*-6).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 1:29 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3217522.\nAnswer: 2, 7, 11, 17, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/2)\/((-8)\/(-272)). Suppose 4 - a = -5*h. Solve -5*m = 2*k - 8 - h, -4*m = 5*k - 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 3*q**2 - 6*q - 7. Suppose -31*l = 2*l - 165. Give p(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5)*(84 + 1) + (-34776)\/2898?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -415421 (base 6) in base 13?\nAnswer: -12406","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -9 + -6 + 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1001021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 951*l**5\/5 + 1637*l**2\/2 - 1075*l. Differentiate f(j) with respect to j.\nAnswer: 11412*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-33)*(-789)\/1578?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -33\/2. Let d = 793.13 - 789. Let w = -0.13 + d. What is the nearest to 1 in w, s, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s = -27*s + 180. What is the least common multiple of 6 and 18\/s*25\/(-45)*9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - 97 + 47 + 61 + d + d - 5*d + (3*d + 0*d + d)*(4 + 1 - 3).\nAnswer: 7*d + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -244 - 6801?\nAnswer: -7045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 23*n + 3774. What is c(-51)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -5251.\nAnswer: 3\/5251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4482 + -4482. Let x(k) be the second derivative of -3\/20*k**5 + 16*k + a - 3\/2*k**4 - 12*k**2 - 6*k**3. Let x(b) = 0. What is b?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 3*j, -3*m = -m - 3*j. Is 4 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 - -1027. Let n = y + -534. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**5\/10 - w**4\/6 - w**3\/3 + w**2\/2 - 2*w. Let a be n(-2). Let x = -8 + a. Solve 16 = -4*h + 4*b, -3*b + x = 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*v - 13*v + 99. What is the common denominator of (-1)\/((-13)\/(-10) + 0) and (-14 + 9)*v\/27?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-22)\/(u**0*u))\/(u\/u**16)**(2\/17) assuming u is positive.\nAnswer: u**(-361\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/5411 and -99\/140?\nAnswer: 108220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(2\/7))*v**5*v*v)**(-46) assuming v is positive.\nAnswer: v**(-2162\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.105 and 0?\nAnswer: 1.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -208. What are the prime factors of m?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -11. Let b be 12\/w*(-1 - 4). Solve -2*y = -0*y - 8, 4*o - b*y - 4 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-24)*4)\/((-268)\/(-2948)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6563 is divided by 559?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + 30 - -43 - ((2 - 1) + 5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-three quarters of a year?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -17)*(5 + -4). Let k(z) = z**2 - 15*z - 4. Let t(o) = 2*o**2 - 45*o - 13. Let f(x) = l*k(x) + 6*t(x). Solve f(y) = 0 for y.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/9 + 2)\/(1\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57.953 + -58. Let p = -23.953 + v. Let j = 17 - 17. Which is greater: p or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1945393 = -31*y + 413738. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -142, -168, -152, -76, 78, 328, 692?\n\"Answer: 3*g**3 + 3*g**2 - 56*g - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, e: 1, m: 1, u: 2, p: 1, x: 1}. What is prob of picking 1 m, 1 y, and 2 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6419533 by 5.\nAnswer: -6419533\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2 - 15\/((-360)\/12804). Let b = m + -523. Calculate the highest common factor of 2 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -271351 (base 8) to base 7\nAnswer: -543555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6217564 divided by 1554391.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3709 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 228, 338, 432, 504, 548?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 18. Suppose -13*h + 15*h - 2*m - 416 = 0, -5*h = 5*m - 1090. Let k = h + -215. Sort k, z, 3.\nAnswer: z, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1224 divided by -1.\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 41787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, c: 5, z: 4}. What is prob of sequence czc?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -29*z + 4*z**2 + 5*z**2 - 9*z**2 + 9 - 3*z**2. Let f be b(-10). Let x(c) = -13*c**3 - 2*c**2 + 1. Determine x(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-10) + (-14 - 792\/(-55)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 11:12 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g**3 - g**2 - 77*g + 69. Is z(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -64*x - 4. Let y(r) = 21*r + 1. Calculate 3*n(l) + 10*y(l).\nAnswer: 18*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**2 + x - 14940. Let c(j) = -j. What is c(a(s))?\nAnswer: -5*s**2 - s + 14940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -14029715.3 to the nearest 10000.\nAnswer: -14030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -722 + 2*u + 143 + 0*u**2 + u**2 to p*u**2 + m*u + c and give c.\nAnswer: -579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 83619 and 46455.\nAnswer: 418095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-32)\/(-10))\/(4*(-3)\/120). Let r be -1*(-1)\/p*-4*-3. Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 26*q - 39. Let g be h(-25). Let r(x) = -3*x**2 - 43*x - 15. Let w be r(g). Put 0, -3, w, 4 in descending order.\nAnswer: 4, 0, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 13*v**5\/15 - 19*v**3\/6 + 39*v**2 - v + 18. Let x(i) be the first derivative of g(i). What is the derivative of x(r) wrt r?\nAnswer: 104*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -7*w - 63 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.069 - 0.011. Let f = -0.08 - w. Let i be (5\/(-30))\/((-4)\/(-6)). Sort 0, f, i.\nAnswer: i, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*i**2 + 20*i**2 + 7*i**3)*(2 + 5 + 0).\nAnswer: 49*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 8) in base 10?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1104797 is divided by 3974?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 55*y**3 - 530*y**2 + 2475*y - 3035. Let r(z) = 5*z**3 - 48*z**2 + 225*z - 276. Let p(j) = -65*r(j) + 6*x(j). Factor p(h).\nAnswer: 5*(h - 6)*(h - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 12.2. Let g = -20581 + 20582. Which is the nearest to g? (a) -0.3 (b) w (c) 35 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1014 in -1, -4\/9, -148, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v = 20*v - 16. Suppose -i = -5*g - 76 - 69, -v*i + 3*g = -563. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2662.06163 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i*i*i*i\/i**(-7)*i*i*i**(2\/39))**6 assuming i is positive.\nAnswer: i**(1174\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 320401433 (base 6) in base 9?\nAnswer: 11531163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1846 = -5*z - 5*j + 9*j, j + 4 = 0. List the prime factors of z.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315 = 88*w - 389 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1238 divided by 662?\nAnswer: -619\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*w - 24. Let q(l) = 4*l + 31. What is the units digit of q(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 579643, 2318541, 5216699, 9274117, 14490795, 20866733?\n\"Answer: 579630*c**2 + 8*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 q, and 1 f when three letters picked without replacement from mqffopmpqqqcffm.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 3754926.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvb when three letters picked without replacement from bpwbv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 37 + 4729.0779\nAnswer: 4766.0779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1259300 is divided by 191?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11512680 and 40294380?\nAnswer: 80588760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -53*k**2 - 2*k. Let b(i) be the first derivative of -37*i**2\/2 - 11202. What is b(t(f))?\nAnswer: 1961*f**2 + 74*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 5, 3, 125, 8, 29 in decreasing order.\nAnswer: 125, 29, 8, 5, 3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 + 34. Let q(d) = d**3 + 8*d**2 + 5*d - 15. Let j be q(w). Sort -3, -2, j in ascending order.\nAnswer: -3, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfppfpj. What is prob of picking 2 p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 132479, 529762, 1191897, 2118884, 3310723, 4767414, 6488957?\n\"Answer: 132426*a**2 + 5*a + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -11*s**3 - 10*s**2 - 4*s + 15. List the prime factors of a(-6).\nAnswer: 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 1 - 1 - 3*j + 3*j + j + (3 - 1 + 0)*(-4*j + 2 - 2) + j + 0*j + 0*j + 0*j + 3*j - 2*j + 3*j - j - j + (2 - 1 + 0)*(-j - 2*j + 4*j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41486 - -41481. Which is the nearest to t? (a) 4 (b) -5 (c) -68\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -125.39 + -1.61. Let i = 437 - v. Let u = i - 614.3. What is u rounded to 0 decimal places?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 191\/29250 and 29\/9000.\nAnswer: 117000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -236.237 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2\/5)\/(1312\/160 - 11)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101101010 + -10?\nAnswer: 1101101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -99 or -100?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (23 - 31)*(-8)\/(-288)*-6. Let -16\/9*u**4 + c*u**2 + 4\/9 + 20\/9*u**3 - 20\/9*u = 0. Calculate u.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + w + 45. Let o be n(6). Is o != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/10 and 47\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 957*f - 9252 = 1214*f for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**5 + 1534*x**4\/5 + 22818*x**3\/5 - 91224*x**2\/5 + 25272*x\/5 = 0. Calculate x.\nAnswer: -54, -26, 0, 3\/10, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + 19. Let i = f - -11. Suppose -i = -3*r + 25. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3247494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -2\/4503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 0*n + 4 - n**3 + 2*n - 4*n + 7*n**2 - 8. What is the units digit of s(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -9*v**2 + 45*v - 46. Let s(x) = 3*x**2 - 15*x + 15. Let r(w) = -3*l(w) - 8*s(w). Factor r(a).\nAnswer: 3*(a - 3)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 21. Put t, 1, -5, 3 in decreasing order.\nAnswer: 3, 1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-67)\/1425760*-228)\/(18\/21)?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (52 - (12 - -12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1370121 - 5?\nAnswer: -1370126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-2 - -62) - 1. Suppose 5*c - 3*u - v = 0, 2 + 3 = 5*u. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + o = -0*o + 54, -5*o = c - 30. Solve 5*x - c = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35417583 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -57*p + 56*p. Let o be p + -3 - 3\/((-9)\/3). Find the common denominator of -48\/5 and 1244\/120 - (8\/o)\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 15 - 4 - a + 2*a. Let d(b) = 5. Let s(g) = g**2 + 4*g - 183. Let y be s(13). Suppose -41*q + 6 = -y*q - m, -2*q - m = -9. Determine q*f(x) - 7*d(x).\nAnswer: 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -803 = -296*l + 1632 - 363 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 21*g**2 - 262*g + 5507. What is h(21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7629?\nAnswer: 3, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 833354287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2846 + -1857. What are the prime factors of i?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57011 to the power of 1\/2, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -6\/11, 0.5, -0.07?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2162 - -1911. What is the third smallest value in -5, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/(-10)*2\/12. Let n be (-2)\/(-6) + (-88)\/30 + 3. Which is the nearest to -1? (a) 3\/4 (b) n (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 8*r**2. Let o(v) = 2*v - 71. Calculate s(o(u)).\nAnswer: 32*u**2 - 2272*u + 40328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**2*x**4 - 2*v**2*x - 68*v + 93*x**4 wrt x.\nAnswer: 12*v**2*x**2 + 1116*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u**2 - 2*u. What is o(-3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -46, 382, 5, -0.5, 4, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -15*v**2 + 12*v - 14. Let d be s(6). Let c = -349 - d. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = 4*g + 89. Let t = g - -66. Solve -5*p - 4 + 1 = t*x, 4*x = 4*p + 24 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 304 and 9824.\nAnswer: 186656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -14*t**3 + 439*t**2 + 586*t + 119. Let y(p) = p**3 - p**2 - 3*p + 1. Let r(n) = x(n) + 7*y(n). Factor r(g).\nAnswer: -(g - 63)*(g + 1)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-14)*v*((v\/(v**13*v))\/v)\/v*(v*v\/(v**(-3\/8)*v)*v)**(-12) assuming v is positive.\nAnswer: v**(-113\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 110341?\nAnswer: -110346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*1 - (-54)\/(-162)*-207.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 40.000028 - 40. Round t to six dps.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 + 555658?\nAnswer: 555638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -8*i - 210. Let f be 24\/i*(-14)\/20. Let 0*m + 0 - 4\/5*m**2 + f*m**3 = 0. What is m?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1116\/481 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 5*x - 53 = 0, 2*x - 146 + 136 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-2\/5)*t*t)*t*t*t*t)**(-40)\/(t**(-2\/11)\/t**(2\/9)) assuming t is positive.\nAnswer: t**(-13424\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 174 = -3*t, 4*t + 0*v - 2*v - 232 = 0. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.7655366 months?\nAnswer: 0.14712805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 400 and 354176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1527?\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 632.0516 rounded to the nearest 10?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*q)*(-7 - 9 - 10)*(-q - 3*q - q).\nAnswer: 260*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 4) to base 13.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -86286 (base 16) in base 7?\nAnswer: -4446033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360 and 835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58324*-0.2.\nAnswer: -11664.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 486 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1267155 - 1267137 - 21*t + 2534292.\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-24 + -14 - -12) + 44\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**4 + g**2 + 42?\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p + 4*p**2 + 4*p + 12 - 5*p**2 - 34. Let g be n(0). Let w = g + 25. Is 3\/7 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1212633 by -18099.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 112 = 2*j. Solve 2*w + 8 = -y - 0*y, -4*y = -4*w - j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqq when three letters picked without replacement from ipvvpbqqpiriv?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -15, 3, 196, 7.\nAnswer: -15, -3, -2, 3, 7, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2031\/(-3)*((-634)\/14 + 24\/84)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**6\/180 + t**5\/30 - t**4\/18 - 2*t**2 + 2*t. Let o(f) be the first derivative of s(f). Let o(p) = 0. Calculate p.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 230364 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6667, 27618, 62597, 111604, 174639?\n\"Answer: 7014*o**2 - 91*o - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 21387*i + 42778.\nAnswer: -(i - 21389)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -762, -2836, -6298, -11148?\n\"Answer: -694*h**2 + 8*h - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 282991771, 565983544, 848975317, 1131967090, 1414958863, 1697950636?\n\"Answer: 282991773*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4250 and 9?\nAnswer: 38250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166570 (base 10) to base 4.\nAnswer: 220222222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-2))\/((-1)\/(-40)). Suppose 3*b = 0, 5*v + 0*v = -b + p. Solve -5*i - 1 = -v*q, -q = -i + q - 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*u - 298*u - 2*u**2 + 68*u - 14*u**4 + 2*u**5 - 6*u**4 - 121*u wrt u?\nAnswer: 120*u**2 - 480*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -12*f. Let t(v) be the third derivative of -5*v**4\/8 + v**3\/3 - 636*v**2. Determine t(o(p)).\nAnswer: 180*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 + 83. Solve -5*o = 5*g + 35, 3*g + g - h*o = 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*r = -333860 + 336016 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84 + 147. List the prime factors of b.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18535 divided by -3707?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/(4914\/(-336)))\/((-1)\/(-9)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 10:27 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22918\/20832 + (1\/((-2)\/2) - 0) and -93\/16?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -1) + -4 + 5 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 173173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 13. Let g = 3 + -3.01. Let z = 1.99 - g. Which is bigger: p or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0049818667 rounded to 6 decimal places?\nAnswer: -0.004982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32024*s**2 + 29964 - 29964 + 32011*s**2.\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12110121 (base 3) to base 8.\nAnswer: 7621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 m when three letters picked without replacement from rrmr.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)\/sqrt(5) - sqrt(30))*-5)\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 + 78. Suppose 4*l - n = 3*l. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 383a (base 12) to base 8\nAnswer: 14356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (275\/(-4))\/(113 + (-40905)\/360)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 24 = 24*r - 27*r, 3*f = 9 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**3 - 2*u**3 + 3*u**3)*(5 - 5 - 1 + 209*u + 3).\nAnswer: -418*u**4 - 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6312.319nm to meters.\nAnswer: 0.000006312319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 divided by -57?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of (-51940)\/(-12) + (-600)\/45 + 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 33. Solve -9 - z = -4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0984764 to three decimal places.\nAnswer: -1.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -0.2 (c) 4378\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t - 6. Let i = -12 - -7. Suppose -2*g + 0*g = 10. Let f = g - -9. Let l(d) = -2*d - 5. What is f*v(a) + i*l(a)?\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*t = -48, 600*x + 22 = 601*x - 3*t. Solve 4*r + x = 9*r + 2*h, -2*r + h = -7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -59? (a) 39 (b) -1\/4 (c) -11\/2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1422, -1409, -1396, -1383, -1370?\nAnswer: -1357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**8\/1680 - d**7\/420 + d**6\/120 + d**5\/30 + d**4\/3 + 4*d. Let r(f) be the third derivative of l(f). Factor r(a).\nAnswer: -2*(a - 1)*(a + 2)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 0*y - 3\/5*y**5 + 0*y**2 - 1\/3*y**3 - 3\/4*y**4 - 1\/6*y**6 - 15. Factor h(p).\nAnswer: -p**2*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-4)\/5)\/(-10).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -11, -14, -25, -44?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 40*k**2 + 1239*k - 11. What is the smallest common multiple of 1336 and c(-31)?\nAnswer: 6680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 393*u**3 - 114*u**2 - 4061 with respect to u.\nAnswer: 1179*u**2 - 228*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 0 + 5 + 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**2*j**3 + 58188*a**2*j + 2*a**2 + 1372*a*j**3 - 23*j**2 wrt a.\nAnswer: -6*j**3 + 116376*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 9 - 5 - 3*r)*(-15 + 15 - 7*r**3) in the form s*r**4 + f*r**2 + v*r + p + u*r**3 and give s.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (12 + -37)) + (-1 - -13).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 13825.92 to the nearest one hundred.\nAnswer: 13800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**4\/12 - 5*j**3\/6 + 7*j**2\/2 + 12*j + 2. Determine t(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-30)*-27*(-49 + -2)\/17\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1125)\/250)\/((-18)\/(-96)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2700 (base 8) to base 2.\nAnswer: 10111000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m**3 - m**2 - 2*m + 1. Let z be j(3). Let v = -817\/4 - z. Let w = -5.2 - -7.2. Which is the third smallest value? (a) -8 (b) w (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.202 - -0.272. Put 0.4, -1\/2, c in decreasing order.\nAnswer: 0.4, c, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 357900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9889548 to the power of 1\/3, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 2*k**2 + 4*k. Let n(w) = w**3 + 3*w**2 - 5*w - 1. Let y(i) = 2*n(i) + 3*v(i). Let m be y(0). Put m, -3, -21 in increasing order.\nAnswer: -21, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110111 (base 2) to base 7.\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120953, -483107, -1086457, -1931003?\nAnswer: -3016745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 15*t - 39. Calculate s(-19).\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2970081 = -344*r - 346737. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 319088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, m: 1, j: 1, o: 3}. Give prob of sequence ooz.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 1497 - 1417 = 0. What is the highest common divisor of 730 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 120171, 119865, 119559, 119253, 118947, 118641?\n\"Answer: -306*f + 120477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(24\/(-848))*((-120)\/(-16))\/5?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in -5\/3, -0.015, -0.5, -3153, -0.8?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 28030 = 4*z, -27487 = -2*q - 3*z + 547. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 7:15 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 65590601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 5*o**2 + 8*o - 8. Give v(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 - 8 - (8 + (0 - 13)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 5c?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 25. Suppose -6 = -h*t + t, -3*x - 5*t = -31. Let y(d) = d**3 - 5*d**2 - 3*d - 10. Is y(x) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2300410 and 101\/5060902.\nAnswer: 25304510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 498209 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 4*v**2 + 3*v + 1. Let b be m(-6). Suppose -2*u = -b - 53. Suppose -2*w - w = -u. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -490090 rounded to the nearest 10000?\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 16 = -2*d + 6*q, -q = -2*d - 16. Let m = d + 14. Calculate the least common multiple of (6\/4)\/((-6)\/(-8)) and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**8\/5040 - x**7\/840 + x**6\/360 - x**5\/360 + x**3\/3 + 2*x. Let p(m) be the second derivative of y(m). Factor p(v).\nAnswer: v*(v - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 20*t**2 - 7*t - 4. Let h(f) = f**3 - 10*f**2 - 3*f - 2. What is 3*b(g) - 7*h(g)?\nAnswer: -4*g**3 + 10*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 1978 (c) 146.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20647 - 41355935\/2003. Let v = j + -154291\/20030. What is the common denominator of 55\/6 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l - 70 = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36960 and 1827056?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 3:18 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163516645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(4 - 6)*0 - 2. Suppose -5 + 2 = 3*j. Which is greater: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(396) + -1)*4 - sqrt(396)) + sqrt(396) + sqrt(396).\nAnswer: -6 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a - 7 - 7*a + 1 + 3. Let o be n(-3). Let q(l) = l**2 - 26*l + 50. Let k be q(o). Solve -k*g = g + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1636 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (6 + 2 + -6 - -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - f + 0 + 0*f)*(-2 - 2 - 1)*(5*f + 5*f - 5*f).\nAnswer: 25*f**2 - 50*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 880.\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2.3733 * -1595\nAnswer: -3785.4135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*l + 2*w + 44, 5*l - 2*w + 145 = 0. Let m = 30 + l. Solve t - 7 + m = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93.09 * -1.6\nAnswer: -148.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10028, 10230, 10448, 10682, 10932, 11198, 11480?\nAnswer: 11778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.024 < -167\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**5\/13 - 98*k**4\/13 + 28*k**3 - 172*k**2\/13 - 366*k\/13 + 270\/13 = 0. Calculate k.\nAnswer: -1, 1, 3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 280179353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1740\/203 - (-15)\/35\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4619163\/115 or -40168?\nAnswer: -4619163\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326407 is divided by 938?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5029112 divided by 57149\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18.2 at most 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 2\/9*y**4 + 9\/2*y**2 + 1\/45*y**5 + 11 + 0*y - 8\/9*y**3 - 1\/90*y**6. Let h(o) be the second derivative of k(o). Factor h(j).\nAnswer: -4*(j - 2)*(j - 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 122234183 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.765 - 1.235. Let p be (4 - (-14)\/(-4))*(-8)\/(-18). Which is the smallest value? (a) 41 (b) p (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7*a)**(-5\/12) assuming a is positive.\nAnswer: a**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*j + 40*j + 1020 = 2*g, -222 = -j + 5*g. Calculate the highest common factor of 72 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47\/2 + -24. Let f(r) = r**2 - 7*r - 10. Let x be f(8). Which is the closest to x? (a) 1 (b) -2\/9 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25.93 - -34.63. What is the third smallest value in -1, 1\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 8:15 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 2:18 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -9*a + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*(20640\/(-43))\/40?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((6*sqrt(18)\/sqrt(3))\/((sqrt(2) - sqrt(2)*-2)*1) + ((sqrt(96) - sqrt(96)*-2)\/sqrt(4))\/(-2*sqrt(800) + sqrt(8))))**2*-4.\nAnswer: -367500\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = k + 29, -13*j = -17*k - 4*k - 569 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h**2 + 3. Let l(c) = 10*c**2 - 7. Let r(f) = 2*l(f) + 5*w(f). Let t = -3 + 4. Let z be r(t). Let o(s) = s**2 + 5*s + 1. Give o(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -2189?\nAnswer: 6\/2189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r + 4*r = 0. Let p(z) be the second derivative of -1\/3*z**4 - 3*z + r*z**2 + 1\/10*z**5 + 0 + 1\/3*z**3. Factor p(x).\nAnswer: 2*x*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/405 - 41438\/405. Let p = g - -101. Put 2\/11, 26, p in increasing order.\nAnswer: p, 2\/11, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*r + 78. Suppose -5*t + 4*y + r = 0, 5*t - 18 - 13 = 2*y. Solve 27 = -3*d + 5*q, -d + t*d = -4*q - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 0*v**2 - 10*v - 9 + v. Let u be o(-7). Suppose 24 = u*s - 1. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 8*z**2 - 5*z - 4. Let s be d(7). Solve -s = -0*n + 5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (125\/(-1480))\/(-5)*4\/10. Let r = x + -595\/444. Which is the fourth biggest value? (a) -1\/2 (b) -6 (c) r (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 p, and 1 b when three letters picked without replacement from gatytpb.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/3169 or -0.2?\nAnswer: 8\/3169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -15*f - 56. Let b be k(-4). Solve -18 = 2*m - 3*t + t, -2*m + b*t - 28 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17075 + 0*s**4 - 2*s**4 - 17084 + 34134 + 30*s to o + w*s + q*s**3 + k*s**2 + m*s**4 and give o.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 11:23 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 3 + 3)*(1323*w - 2*w**3 + 766*w - 1414*w).\nAnswer: 2*w**5 - 675*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17526113 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (5\/(-10))\/(23\/(-92)) and 174?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -1\/7 (c) -2\/17 (d) 33\/8797 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -100957 (base 11) in base 7?\nAnswer: -1243615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**3\/3 + h - 1. Let p(z) be the first derivative of m(z). Let w(s) be the first derivative of s**2 - 4. What is p(w(k))?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14882 is divided by 393?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -8*h**2 + 4*h + 3. Let z(w) = -7*w**2 + 3*w + 2. Determine 5*g(y) - 6*z(y).\nAnswer: 2*y**2 + 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j - 26 = -5*q, -2*j - 2*q = -14. Suppose 3*w - 8*w = 0. Suppose 2*v + 0*v = 4. Solve -y - v*h + 3 = w, y - 3*h - j = 2*h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -70. Let p = r - -29. Let m(y) = -4*y + 23. Let b be m(p). Solve q = -4*l + 2 - 5, l - b = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -39*l - 4. Let r(s) = 34*s. Determine -6*o(b) - 5*r(b).\nAnswer: 64*b + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + -1 + -1)**2 - 3*(sqrt(1300)*1)**2) + 0 + 5 + sqrt(52) + sqrt(832) + -5.\nAnswer: -2596 - 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*c - 42*c**3 + 37*c + 7*c**3 + 43*c - 171*c.\nAnswer: -35*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 i when three letters picked without replacement from fwiiiixvfixvflviwvf?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w. Suppose 0 = 3*n + 4*b - 8, 6 = 3*n - 6*n + 3*b. Suppose 2*h + 5 = q, n*h + 50 = -5*h - 5*q. Let m(u) = -2*u - 1. What is h*l(t) + 2*m(t)?\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 10*s + 18. Suppose -3*f = -2*r + 2*f + 5, 5*r + s*f - 100 = 0. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -491 - -1378. Suppose -w + d = 78. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1898, -4471, -8784, -14837, -22630, -32163?\n\"Answer: -870*v**2 + 37*v - 1065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 139145 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 5*v - 45, 11*v = 3*h + 7*v - 31. Let z(d) = 2*d**3 - 2*d**2 - 7*d - 1. List the prime factors of z(h).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n. Let m(u) = -4 + 0*u + 5*u + u**2 - u + 1. Let i be m(-5). Let p(x) = -8*x**i - x**2 + 7*x**2. Give p(f(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 6*q + 33, -237*f = -242*f - 4*q + 25 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11082530 to the nearest integer?\nAnswer: 3329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/2)\/v)**(-29\/2)\/(v**16*v*v**6))**4 assuming v is positive.\nAnswer: v**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1674 divided by -558.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1652774 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -306\/623.\nAnswer: -306\/623, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1218 + -0.03?\nAnswer: 1217.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*u + 5*u + 10*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.2\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6577778 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11208289 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544 is divided by 364.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 11 - 14)*(-2 - 3 + 6)*(-18 + 27 + 38)*(3*p + p - 5*p).\nAnswer: -658*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/((-5)\/(-150)). Let o be 10\/r + (-10)\/3. Let z be (0 - 1)*(o - 1). Solve 5*c = -z - 15, w - 9 = 3*c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 - 1. Let f(j) = 6*j**2 - j - 2. Determine -2*f(c) + 7*m(c).\nAnswer: 2*c**2 + 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 + (13 - 24)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-6) - 3\/9. Let f be (o - -1) + (-2)\/(-1). What is the third derivative of -t**f + t**2 - 5*t**2 + 2*t**2 wrt t?\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 + 1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 80\/60)\/(52\/2)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 8:55 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 - 23*k + 15. Let j be y(11). Suppose -110 = -j*w - w. Let v = 35 - w. Solve 7*i + 3*n = 2*i - 16, 5*i + v = -4*n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688538 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/((0\/(-13) - 1)*6\/3). Solve -s - 1 = 0, -15*s - a = -5*r - 20*s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293 a factor of 625350399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t - 10. Determine w(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 127 + -127.1. Are -19 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 5*m + 6. Suppose 0 - 30 = 5*t. Let r be k(t). Factor 4\/7*f**4 + 2\/7*f**5 - 2\/7*f - 4\/7*f**2 + 0 + r*f**3.\nAnswer: 2*f*(f - 1)*(f + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 + 0*l**4 - 4*l**4 + (-l**2 + 4*l**2 - 2*l**2)*(-l**2 + 0*l**2 - l**2) + 0*l**4 + l**4 - 2*l**4 + 14*l**4 + 13*l**3 - 13*l**3.\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 331133 divided by 5.\nAnswer: 331133\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 596 = 353. Let q(r) = 19*r**2 + r + 1. What is the remainder when x is divided by q(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 27. Suppose -2*n - k = -22. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 8*y - 5*h, -20 = 10*y - 5*h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -127*j. Let q(l) = 106*l. Let i(u) = 5*o(u) + 6*q(u). Let y(c) = -236*c. What is y(i(t))?\nAnswer: -236*t","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2.8. Let q = t + -2.2. Let a = -61 - -59. What is the nearest to -1\/2 in a, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(5\/(5100\/3705) - 8\/(-68))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17664 is divided by 881?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -20*f. Let y(k) = 8*k**2 - 2*k - 1. Let t(n) = n**2 - 2*n - 1. Let c(v) = -t(v) + y(v). What is c(w(s))?\nAnswer: 2800*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1120216 and 5704.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/2 (b) -470 (c) 3\/7 (d) -3\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 92 and 0.038516.\nAnswer: 3.543472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(5\/7))**(-4\/35)*(k*k*((k*k*k**(-2\/3)*k*k)\/k)\/k)\/k**(2\/81) assuming k is positive.\nAnswer: k**(12808\/3969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/(13\/(-68)) - -4. Calculate the greatest common divisor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73781.99t to micrograms.\nAnswer: 73781990000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 9:06 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2))\/((l\/(l\/(l**(4\/5)\/l)))\/l))**(-44) assuming l is positive.\nAnswer: l**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -1638?\nAnswer: 1635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*l = -176, 5*l = -a - 7 - 87. Let q = a + 84. Put -0.1, 0.3, q in descending order.\nAnswer: 0.3, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from ylltlzlot?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 1. Let i(s) = 2*s**3 + 14*s**2 + 14*s + 7. Let r be i(-6). What is d(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -523*o = -526*o + 42. Suppose o*l - 5 = 9*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0*x + x + 91 + x.\nAnswer: 2*x + 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -751\/880 + 9\/220. Let m = -7610694 - -121730799\/16. Let d = -2517 - m. Calculate the common denominator of g and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q + 26. What is v(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 10*t**2 + 8*t - 4. Let u be f(-9). Suppose u = 4*i + 1. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2\/5 + 34*g\/5 + 32\/5 = 0. What is g?\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -0.5729344\nAnswer: 0.5729344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3387 = 376*v + 148*v - 13867 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from {n: 2, j: 1, s: 4, k: 2, l: 7}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -22*f**2 - 12*f + 14. Let s(t) = 2*t**2 - 3. Calculate d(b) + 5*s(b).\nAnswer: -12*b**2 - 12*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/4 + 89497*p**2\/4 - 2003993531*p\/4 + 70030182635\/4.\nAnswer: -(p - 44731)**2*(p - 35)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 - 24 + 24 - 34*j**2.\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2567808 and 6912?\nAnswer: 5135616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*g + 10*g - 277 = 443 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 181357, 363612, 545867?\n\"Answer: 182255*d - 898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 16, -22 in decreasing order.\nAnswer: 16, 2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -293294*u - 293320. Give s(-1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**2 - 12*z + 258. Let v be s(7). Solve 0 = -4*p - 4*t + 12, -v*t = 5*p - 25*t - 21 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o. Let x(j) = -3001*j**2. Give g(x(h)).\nAnswer: -9003*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20323.\nAnswer: 20323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*z**5 + 15*z**3 - 3*z**2 - 36568*z?\nAnswer: 480*z**3 + 90*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (-1)\/6*-4. Let h = -2 + 2.1. What is the nearest to -2 in 0.5, h, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, 2, -82316 in increasing order.\nAnswer: -82316, -113, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by (-55)\/(-44)*(-2 - (3 - 33))?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 4*t - 7. Let y be m(-6). Solve 2 = y*q - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 20*z - 172. Let h = -197 - -200. Let u(o) = -o**2 + 18*o - 173. Let r(g) = h*u(g) - 4*a(g). Factor r(q).\nAnswer: (q - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**4\/4 - k**3\/3 - k. Let h be (-86)\/10 - 105\/(-175) - -10. Give m(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/12143955 and 149\/18?\nAnswer: 72863730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-18)*-3)\/((-146)\/7008).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 + 3*m**2 - m. Let v(j) = -7*j**2 - 6*j**3 - j**2 + 12*j**3 + j + j. Let r(u) = 3*v(u) + 8*z(u). Factor r(l).\nAnswer: 2*l*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*s = -4*s + 8, -2*c = s - 4. Suppose -3*l - c*l + 40 = 0. Let g(h) = 8*h - 3. What is the tens digit of g(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 11497*k. Let m(i) = -21*i**2 - 2*i. Determine u(m(q)).\nAnswer: -241437*q**2 - 22994*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215197389 is divided by 872?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3056 and 764?\nAnswer: 3056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*d + 11036, 15 + 5 = 5*v. Is 8\/10 - d\/(-60) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 8*r + 11. Let l be u(7). Let y = -5 - -10. Differentiate 9*w + 7*w - 16*w + y*w + l with respect to w.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3080698?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*u = 285*u + 261 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -972.22 - -950. Let u = -22 - n. Let m = -0.08 - u. Which is the closest to 2\/7? (a) m (b) 0.5 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10361131?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from rrrrrtrtkkxe?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 500290 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -172 - -394. Let v = -204 + o. What is the second smallest value in -1\/5, -1\/2, v?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38270.\nAnswer: 2, 5, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnrnrnrnnrndrnrrr. Give prob of picking 1 n and 2 r.\nAnswer: 28\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 6*u**2 - 9*u + 15. Let n(p) = -14*p + 35. Let k be n(2). Let q be d(k). Let b(a) = -a - 1. Let j be b(1). Put q, -9, j in decreasing order.\nAnswer: q, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-6 - -6) + 1 + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 10*s - 10. Let t be w(15). Let l = -83 + t. Suppose -80 = -c - l. What is the remainder when c is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -153273, -613190, -1379723, -2452872, -3832637, -5519018, -7512015?\n\"Answer: -153308*w**2 + 7*w + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 2\/9 (c) 1\/2 (d) -2\/43 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -44*i + 10*i**2 + 4 + i**2 - 36*i - 12 + 124*i. Let m(j) = -7*j**2 - 29*j + 5. Determine -8*m(q) - 5*s(q).\nAnswer: q**2 + 12*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*1\/((-10)\/4)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k\/((k\/((k**10*k)\/k*k))\/k))\/k)*k)\/(k**(6\/5)*k) assuming k is positive.\nAnswer: k**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28211570923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**3\/3 + 15*g**2\/2 - 38*g + 399. Calculate p(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*p + 275 = 0, -2*p = -6*p - 8. Suppose 0 = 5*d - 3*r - 1, 0*d + 4*r - 20 = -4*d. Suppose s + d*s - t = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 + 42 + (4 + 2 - (-3 - 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 2) + -2 + -3 + (-144)\/76?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**4\/12 - y**3\/6 - y**2\/2 - 4*y. Let x be b(-1). Sort -4, 0, x.\nAnswer: -4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, b: 2, q: 1, v: 1}. What is prob of sequence qv?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -20619\nAnswer: -4\/6873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 4*b = 20. Let p(k) = 2*k - 2*k - 4 + b + k. Let o(j) = -j**2 + 2*j + 2. Determine o(v) - 2*p(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 34807 - 1123 = r, 5*r - 5*c = 168480. Round r to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**4)\/(o\/o**(1\/2))*o**(-6)*o**(-4\/13) assuming o is positive.\nAnswer: o**(-47\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -577 - -582. Sort l, 20, 1.\nAnswer: 1, l, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -12. Suppose n = -2*n + 12. Let c = b + n. Is c greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131928 divided by 6.\nAnswer: -21988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*n - 2267 = -90761. Let t = n + -1034. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -9428*a**2 + 3142*a**2 + 3146*a**2 + 3137*a**2. Let n(x) = 4*x**2 + 4*x. What is f(n(o))?\nAnswer: -48*o**4 - 96*o**3 - 48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sttskkfssskstfsssss. Give prob of picking 1 f and 1 s.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*y**2 + 5 - 7*y**2 - 5*y**2 + 3*y**2 wrt y?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 27. Calculate the common denominator of (18\/(-108))\/(t\/202) and 23\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7721275?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 410\/164*-30 + -4\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -225a (base 12) to base 5\nAnswer: -110224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46262*b**2 + 23401*b**2 + 23423*b**2.\nAnswer: 562*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + c + 3. Let g be q(-4). Suppose 3*w - 2*n = 16, -3*n - 14 = -w + 2*n. Suppose g + 9 = w*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 597*k**2 + 22286*k - 35. Calculate z(-40).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -1\/12*v**4 - 17\/3*v**3 - 19*v**2 + 0*v + 0. Let c be x(-18). Solve -4*u = 2*k + 3 + 7, -20 = -c*k + 2*u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3562, 14218, 31980, 56848, 88822, 127902, 174088?\nAnswer: 227380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52934 <= 52905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a + 45*a - 20*a + 6*a - 21*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 6 = 0, 2*s + 212 = 34543*p - 34519*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42290 = 18*h + 15182. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - v**2 - 2*v)*(15*v + 1085 - 11*v - 1252) in the form w*v**2 + m*v + g + u*v**3 and give w.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29866731.\nAnswer: 3, 9955577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 a when four letters picked without replacement from ahaaahpappppphph.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 550800 and 2025.\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18ccf - 7?\nAnswer: 18cc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**2 + 9*b**2 + 6*b**2 + (2 + 1 + 5)*(b**2 - 5*b**2 - 3*b**2).\nAnswer: -46*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (-4831)\/(-7) - 1\/28*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 1173.074.\nAnswer: 4692.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 41\/30 + -1 - 3\/15\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 90*o**2 - 11. Let g(q) = 8*q. What is m(g(j))?\nAnswer: 5760*j**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*c + 1. Let t = -45 - -40. Put t, c, -4 in descending order.\nAnswer: c, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1185 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 84.87068s?\nAnswer: 84870.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 996*i - 114*i + 57170 + 100349 = 52561 for i.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + n**3 - n**2)*(n**2 - 4*n**2 + 10*n**2) + (-63*n**2 - 5*n**4 + 63*n**2)*(0*n + 4*n - 3*n).\nAnswer: 2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/4)\/(8\/(-80)). Suppose 5*v - u = -10. Let q(s) = 5*s + 1. Determine q(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.92 less than -6105096103?\nAnswer: -6105096086.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952 is divided by 609?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from papaapppppaap. What is prob of picking 3 a and 1 p?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -43. Let c be 2\/(-5) + (-14)\/u. Solve 4*s + 5*x - 10 = c, -2 = -s - 2*x - 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2756 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-1 - 0)) + (-18 - (-67 - -49))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1651 in 0.3, 0.5, 1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 2)\/(-1 - 0). Let p(a) = a**2 + 32*a - 141. Let k be p(-36). Let -16*x**2 + x**k - 7*x**5 + 16*x**4 - 707*x + o*x**3 + 711*x = 0. What is x?\nAnswer: -1, 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(54) - (sqrt(2) + (2 + sqrt(2) + sqrt(8)\/sqrt(4) - sqrt(2))).\nAnswer: -5*sqrt(2)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 20*k - 27. Let y(u) = -13*u + 18. Let o be (2\/2)\/(1\/(-5)). Let s(w) = o*d(w) - 8*y(w). Let m be s(6). What is the highest common divisor of 45 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 6441020.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 361136712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15824 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 283*u**2 + 601*u - 5. Does 63 divide p(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1452259 is divided by 1095?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 less than -61780.4?\nAnswer: -61777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5145802741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129305, 258510, 387719, 516938, 646173, 775430, 904715?\nAnswer: 1034034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (-5 - -10) - -24. Solve -3*m - m = p - k, -23 = 3*p - 4*m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3706083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/16)\/((-32)\/192).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**4\/12 - 6*j - 18. Let i(l) = -l**2 + 4*l + 1. Let x be i(3). Let q(o) = -x*o**2 + 0*o + 0*o. Give q(d(w)).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/14 and 68\/345.\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.03 - -5. Let f = -491.7 + -69.3. Let h = f - -564. Which is smaller: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 6:46 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g**3 - 10067*g**4 - 30*g**2 + 10069*g**4 - g + 37*g = 0. What is g?\nAnswer: -3, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 267, 8, 36, 4 in ascending order.\nAnswer: 2, 4, 8, 36, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(5632\/(-66)))\/((-3)\/(-62))*2?\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.088*-20720.\nAnswer: 1823.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2. Let i(p) = 109*p. Determine i(y(w)).\nAnswer: 218*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*j + 43 - 78, -5*o + 238 = 4*j. What is the remainder when o is divided by -1 + 1 + 2 - -17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -876732, -876690, -876574, -876348, -875976, -875422?\n\"Answer: 6*x**3 + x**2 - 3*x - 876736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + 0 - sqrt(1584))*-4 - (sqrt(1584) + 1 + -4))**2 + (sqrt(1584)*1 + 2)*2.\nAnswer: -48*sqrt(11) + 1597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001119 to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 5*o - 10*o = -0*o + 95, 0 = 8*u - 4*o - 28 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/((-2)\/24)*(-1148)\/56.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 146443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 18*x**2 - x + 18*x**2 + 7*x**2 - 6*x**2. What is the tens digit of t(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -24*o**3 + 2*o**2 - 12*o + 4. Let x be d(8). Let b = x + 19062. Suppose -2*v + b = 3*f - 7*f, 5*v - 17061 = f. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255386934 a multiple of 237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -2. Suppose -3*v + 12*v - 18 = 0. Solve v*u = 4*u - c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15, -50, -105, -174, -251, -330?\n\"Answer: i**3 - 16*i**2 + 6*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*q = 0. Let i = 5 + q. Suppose -2*l - i + 3 = 0. Which is bigger: l or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 5*c = 12, -4*c - 166 + 163 = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236877.\nAnswer: 3, 23, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 24034.23?\nAnswer: 24034.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/19? (a) -1\/3 (b) 4 (c) -5 (d) -120\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 83*q**2 + 3*q + 27. Suppose 5*x = -f - 65, 45 = -4*x + 5*f - 36. Is g(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79949, 319916, 719897, 1279892?\nAnswer: 1999901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -11\/12 (b) -2\/5 (c) -25 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 11*d + 6. Determine m(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 5*o + 24 = 0, -k - 22 + 22 = -o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 7:11 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1346*a = -1548*a - 8080 for a.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 88628, 168227, 247828, 327431, 407036, 486643, 566252?\n\"Answer: m**2 + 79596*m + 9031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p - 27. Let v be i(-10). Solve -2*g - 7 = -v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.17 and -27088.104040907.\nAnswer: -27088.274040907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2*0.02777\nAnswer: 0.05554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-8)*(-3 + -1). Let k be -7*(a + 4\/7). Differentiate -9*p**4 - 2 + k - 2 - 3 with respect to p.\nAnswer: -36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4564*m - 136876. Calculate u(-30).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppysqqyppp. Give prob of picking 3 s and 1 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3.1. Let y = -562 - -565. Let x = -0.19 + 0.2. What is the nearest to n in x, -0.3, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -401*w**3 - 3*w**2 + 4. Let m be o(-1). What is the highest common divisor of 12 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2587.093628 + 2587. Round f to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342 = 6*u - 4*u. Let n = -100 + u. Calculate the remainder when n is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1577, -1575, -1573?\nAnswer: -1571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 11:58 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 3*w + 17 = 0, -874*b + 5*w - 38 = -870*b - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b**2 - 3. Let f(h) = 2 - 4*h**2 - 9533*h + 9533*h. Calculate 3*f(x) + 2*y(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 60017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3236*w - 205. Is c(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84 - (-160 + (62 - 23))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 22 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -184 - -189. Suppose -i + 2334 = -0*v + 4*v, b*i = -10. List the prime factors of v.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1207 or 1209?\nAnswer: 1207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24 and -0.0623.\nAnswer: -1.4952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -1 - -4 - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 16, 3*p - 2*n + 5*n + 9 = 0. Suppose -1 = -z + p. Let s(a) = -a**2 + 5*a + 8. What is the lowest common multiple of s(6) and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 6. Let w(o) = o**3 + 5*o**2 + 2*o - 5. Let q be w(-4). Suppose 2*p = q*h - 15 + 5, 5*p - 4*h + 32 = 0. List the prime factors of c(p).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k, 0 = -3*z + 7*k - 2*k + 21. Which is smaller: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxkx when four letters picked without replacement from {x: 3, u: 3, i: 5, k: 9}.\nAnswer: 9\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 44 = -14. Let x = -7 + w. Let g(q) = -q**2 - 9*q - 6. Let u be g(-8). Solve 0 = -2*o + x*o + u*v + 4, 4*o = v + 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/275 and 61\/330.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**2 + 707*n - 236*n - 8 - 234*n - 234*n as v + b*n + d*n**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 2\/669 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 11*j = -30. Let a(f) be the second derivative of 0 + 0*f**3 + j*f + 0*f**2 + 1\/12*f**4. Let u(b) = -2*b**2. Calculate u(a(h)).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 499662 less than 499849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5239, -5245, -5247, -5251, -5263?\n\"Answer: -n**3 + 8*n**2 - 23*n - 5223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a microgram in nanograms?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 57689362 - -1?\nAnswer: 57689363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 11, i: 1, n: 2}. What is prob of sequence uu?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -385?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/7 - 216*q**2\/7 + 120*q - 832\/7.\nAnswer: 2*(q - 104)*(q - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10893*k + 10890*k = -4*m - 10, -k - 2*m = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/1485*11*15\/165\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385440583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/6)\/(14\/(-294)). Let j = -27 - c. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -284*r + 1290 + 7866 + 1352 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3607655 is divided by 33404.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.1642 + 3.16414004. What is t rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l. Let b(t) be the first derivative of 21*t**2 - 88. Determine b(a(p)).\nAnswer: -84*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 23 = -4*x. Let c be -2 - (-2 + (x - -1)). Suppose 0 = c*s + 6 - 8. Which is bigger: 17 or s?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -160*o + 87*o**3 + 160*o + (-39 + 39 + 2*o)*(-o**2 + 2*o**2 - 2*o**2).\nAnswer: 85*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 1314680*g - 216047937800.\nAnswer: -2*(g + 328670)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.846 - -0.8. Let g = d - 0.224. Let n = g + 0.26999878. What is n rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i - 5*i + i + 2*i to v + u*i and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56869*c + 28419*c + 28447*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.35360847 * -0.1.\nAnswer: -0.035360847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 6*u**2 - 4*u - 19. Let p be c(-6). Suppose -p*v = -v - 3*h - 46, 0 = 5*v + 2*h - 69. Let i = 126 + v. What are the prime factors of i?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 332*h**2. Let n(s) = -3*s. Determine m(n(w)).\nAnswer: 2988*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.0565l?\nAnswer: 4056.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/3*(-6)\/4*(-187 + 193)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10058859 to the nearest integer?\nAnswer: 3172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 162, 165, 168, 171, 174?\n\"Answer: 3*t + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 164 + 93)*(-5 + 2*i**2 + 5)*(9*i - 3*i + 6*i).\nAnswer: 6096*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 8*p + 83. Let r = p + -48. Calculate the remainder when r is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 5*z + 3. Suppose 3*v - 12 = 2*y - 5*y, -4*y + 3*v = -9. Let g be u(y). Suppose -2*o = -g*o + 112. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 128*f - 2. Let j be v(0). Let y(m) = 13*m**2 + 5*m + 3. Give y(j).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/10 and ((-1468)\/(-320) - 5)*(-22)\/12.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/63 of a week in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/65 - 150\/(-325)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21, 24, 25, 24, 21, 16, 9?\n\"Answer: -g**2 + 6*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 806 and 18746.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t - 2*t**3 + 0 - t**3 - 10 + 11 to the form w*t + k*t**2 + p + s*t**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 30.\nAnswer: 29.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12715 times 20029\nAnswer: 254668735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 2*q + 1. Let v(z) = -2*z**3 - 16*z**2 + 3*z - 27. Let w(h) = -4*i(h) + v(h). Determine w(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -7 - 2) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 = 2. Suppose y*v - v = 0. Calculate the remainder when 9 is divided by (-1)\/(v + 2\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/70*(-201990)\/(-430912).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -848 (b) 78 (c) 139 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**2 + 4702*v - 1880 = 0. Calculate v.\nAnswer: 2\/5, 940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 21. Suppose -z*f = 6 - 24. Suppose 0 = -9*u + 8*u + f. Solve -u = b + b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 380.032 to 0 decimal places.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.3*160282.\nAnswer: -368648.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 13 = 3. Solve a - p*a - 4 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-21) + (-1)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 146*y + 161*y - 1228. Calculate the remainder when 446 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/4 (b) -6 (c) -3 (d) -71 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 12*l - 87. Let g(f) = f**3 + 2*f**2 + f. Let s(n) = -13*n**3 - 122*n**2 - 6*n. Let k(q) = l*g(q) + s(q). Find the third derivative of k(o) wrt o.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36976510 and 3392?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvzzrzzzvvvzc. Give prob of sequence zv.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*w**5 - w**4 + 35*w**3 + 15*w**2 - 29*w - 14 = 0. What is w?\nAnswer: -2, -1, -1\/2, 1, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -91*u + 2 + 108*u - 2 - 13*u. Let o(t) = -6*t**2 + 21*t**2 + 18*t**2. Give o(g(w)).\nAnswer: 528*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(4*(-3)\/60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -103058*f**2 + 13620*f - 450 = 0.\nAnswer: 15\/227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 16*r**7\/105 - 8*r**3\/3 + 16*r**2 - r. Differentiate s(d) with respect to d.\nAnswer: 128*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8865, 8865, 8895, 8955, 9045?\nAnswer: 9165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 20. Let k(b) = 2 - 9*b + 4*b**2 + 2*b**3 - b**3 - 10*b**m. Let f be k(7). Do -10 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*p + 6*p. Let l(y) = 5*y**2 + 8*y + 1. Let g be l(p). Sort 1, -1, g in descending order.\nAnswer: g, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 4, 44, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 45 = -5*x - 3*a, 4*a = 4*x - 44. Calculate the highest common factor of 65 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0719 (b) 3 (c) 4 (d) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 - 6) + (1 - -1216) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*7\/455)\/(((-133)\/798)\/(10\/(-6))).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -5 - 7. What is the second derivative of 24 - 13 - 11 + 15*m - 17*m**f wrt m?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 158565 - 1?\nAnswer: 158564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -10 - 14. Let i = 35 + -19. What is the remainder when (-1)\/(-4) + (-369)\/h is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(539) + 3)**2*-2.\nAnswer: 168*sqrt(11) + 2192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 5. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 1176.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/56 + (-146868990)\/(-5460) - (-4)\/(-26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 34*p**2 - 200*p - 11. What is c(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126.34926 seconds to minutes.\nAnswer: 2.105821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)\/(v**(-7\/5)*v))**(27\/2) assuming v is positive.\nAnswer: v**(-108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1749283*-0.7\nAnswer: 1224498.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 12*t**3 - 25*t**3 + 5 - 4*t + 12*t**3 - 4*t**2 + 9*t. Let s = -2 + -3. What is z(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 68240 * 6801\nAnswer: 464100240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -9.84, -33, -0.23, 2\/5 in decreasing order.\nAnswer: 2\/5, 0.1, -0.23, -9.84, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 144, 297, 502, 753?\nAnswer: 1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 134 + -130. Solve 150*u + 245*u**3 + 780*u**2 + 20*u**s - 43*u + 73*u = 0 for u.\nAnswer: -6, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2851 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(162) + sqrt(18))\/(-6*sqrt(42)\/sqrt(7) + sqrt(6)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 280 and 590380?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/333 and 31\/548118.\nAnswer: 548118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*q + 5*q**3 + 188*q.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 9. Suppose -s = -0*s + n*d + 5, 2 = -2*s - 4*d. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118 - 824\/7. Let i = -0.1 + -0.2. Which is the nearest to -0.2? (a) 2\/3 (b) o (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 700 divide 24546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*l - 2*b, -4*b = 3*l - 0*b - 1. Let u(a) = a**2. Let k be u(0). Which is greater: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 10:08 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -116, -173?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -94, -56, 28, 176, 406, 736?\nAnswer: 1184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((8\/8)\/(946\/(-66))).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3, -11, -15, -15, -11, -3?\n\"Answer: 2*w**2 - 14*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqq when three letters picked without replacement from {i: 1, x: 8, o: 1, l: 2, q: 4}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018879755 rounded to 6 decimal places?\nAnswer: -0.001888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 14 = -g, 16*g - 11*g + 3*h - 14 = 0. Let m = 7 + 2. Let k = m + -14. What is the nearest to -1 in k, g, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -307924 - -584987. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**5\/20 + 3*s**4\/4 + 2*s**3 + 9*s - 6. Let x(u) be the first derivative of r(u). List the prime factors of x(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 17*y**2 + y - 31. Let g(w) = w**2 + w + 1. Let b(r) = -g(r) - j(r). Let l be b(-14). What is l rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1046*i**4 + 30330*i**3 - 206992*i**2 + 375768*i + 1440 = 0 for i.\nAnswer: -2\/523, 3, 6, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a week?\nAnswer: 336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**5 - q**4 - 1557*q**3 - 32*q**2 + 5*q - 773.\nAnswer: 60*q**2 - 24*q - 9342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggqyyzgyz. What is prob of sequence qz?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, w: 1, a: 1, j: 1, n: 1}. Give prob of sequence dnwa.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*sqrt(252).\nAnswer: -1 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21770162 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*z**5 + 2*z**3 - 4602027*z**2 + 501303576*z wrt z.\nAnswer: 340*z**3 + 12*z - 9204054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 927, 3703, 8345, 14865, 23275, 33587, 45813?\n\"Answer: 2*w**3 + 921*w**2 - w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f + d = 2, 2*f - 4*d - 22 = 0. Suppose 5*z = -2*i - 15, -3*z - i = -f*i + 9. Let m(t) = 5*t - 4. Let w(o) = -6*o + 5. Determine z*w(b) - 4*m(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000171607309 rounded to 6 dps?\nAnswer: -0.000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and -56\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a hour?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 9:19 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 6:55 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.77034 grams to tonnes.\nAnswer: 0.00002377034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1092*r - 46 = 1094*r - 4*x, 86 = -2*r + 8*x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 72396 times 1.723\nAnswer: 124738.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 24*p - 11. Let a be -3*(-3)\/(36\/76). Let c be n(a). Calculate the highest common divisor of 28 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2330000 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 11:15 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.059 and -5756.\nAnswer: -5755.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20989 + 60130. What are the prime factors of n?\nAnswer: 3, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86740 times 0.18\nAnswer: 15613.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, -13, -90, -251, -526, -945?\n\"Answer: -5*d**3 + 3*d**2 + 3*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100) - -6*(sqrt(100) + sqrt(100)*-1))*4)\/(sqrt(20)\/((sqrt(90)*-2 - sqrt(90) - sqrt(90)) + sqrt(90))) + 4.\nAnswer: -180*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -8. Let g(v) = 4*v + v - z*v. Let l(n) be the first derivative of -11*n**3\/3 + 36125. What is g(l(i))?\nAnswer: -22*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 631067*j + 7. Let v(z) = -2*z. Determine u(v(h)).\nAnswer: -1262134*h + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 130\/757 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -7.5. Let g = -0.04 - 0.21. Let n = k - g. What is n rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 = 14. Solve 13 = 5*k - 2*z, 4*z = -p*k + 2*z + 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 172017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61775?\nAnswer: 5, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 186575675437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w. Let n(s) = s**2 - 2*s. Let t be n(3). Suppose b - 5*g = 10, 2 = -4*b - t*g + 19. Let v(p) = -p + 0*p + 0*p + b*p. Give v(d(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -11*m - 115. Let o be b(-10). Is (-85515)\/(-90) + o\/(-6) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2009 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 159?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*m + 5*m - 4*m)*(3 + 1 - 6) + 2*m + 2*m - 2*m + 0 + 1 + m + 0)*(-7*m + m + m).\nAnswer: -25*m**2 - 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*k**3\/8 - 21*k**2\/8 - 63*k\/8 - 27\/8.\nAnswer: 3*(k - 3)*(k + 1)*(5*k + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 27675?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 29*i - 6. Let a(z) = -z - 1. Let x(q) = -3*a(q) + p(q). Let s be x(21). Is (-12)\/(-8)*s\/9 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/9 - 4*1. What is the third smallest value in 4, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2651 is divided by 95.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4464651 divided by -144021\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 217, 324?\nAnswer: 431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -2\/3*x**4 + 0 + 5\/6*x**3 + 7*x + 11\/2*x**2 + 1\/20*x**5. Let d be j(7). Sort -1, 4, d in decreasing order.\nAnswer: 4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(483\/(-12)))\/((-50)\/(-175))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*x - 2 + 2)*(2 + 0 - 4) + 26*x - 29*x + 98*x)*(0 + 2*x**2 + 0).\nAnswer: 198*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.8 and -12.174?\nAnswer: 34.0872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rac when three letters picked without replacement from mcamammcmcrmcrammcmm?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 20. Suppose z*g + 0*g + 16 = 0. Let n be 1\/4*(g - -12). Solve 4 = -q - n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 1 + 0*l - 4. Suppose 0 = 3*a + 9, -3*w + 0*a - 2*a + 231 = 0. Let n = w - 73. Determine h(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 32514 = -22*v + 32829 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 234, -2, 3 in decreasing order.\nAnswer: 234, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 47082\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 8*m - 28*m. Suppose 2*z - 5*h + 23 = 0, -5*z + 17 = m*h + 2. What is the greatest common divisor of 23 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34165, -1\/3, -4398, -2\/3 in descending order.\nAnswer: -1\/3, -2\/3, -4398, -34165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 0, -28, -14099 in descending order.\nAnswer: 5, 1, 0, -28, -14099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 10) to base 2.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c + 3. Let b(u) = -2*u + 6. Let f be 1\/3*1*0. Let z(v) = -2*v - 7 - 2*v + f*v + 7*v. Let r(t) = -4*b(t) - 5*z(t). Give -22*k(y) + 6*r(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-3 - (-13 + 1 + 6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 1:05 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x**3 + 32*x**3 + 9*x**3)*(2 - 4 + 4)*(-2*x - x + x).\nAnswer: -128*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539595565?\nAnswer: 5, 379, 284747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7152818 minus 37228?\nAnswer: 7115590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (94\/(-75))\/(-36*32\/(-3456))*(-5)\/2.\nAnswer: 47\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**3 - 5*y**2 - 5*y. Let b(r) = 4*r**3 + 6*r**2 + 6*r. Let d be 9*10\/(-90)*-6. Give d*l(s) + 5*b(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1549674055869 take away 1?\nAnswer: -1549674055870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n**2 + 7*n - 12. Let f be z(3). What are the prime factors of f\/(-6 - (-115)\/20)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.38 and 310?\nAnswer: 309.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*p**4 - 12*p**2 - 17*p**4 + 2*p + 40*p**4 - 2*p**3 to the form n*p**2 + k*p**3 + c*p**4 + s + m*p and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - -2 - (-5 - (-10 + 4)). Let l(m) be the first derivative of 0*m**4 + 0*m**q + 0*m**2 - 3\/5*m**5 - 5 + 8*m. Differentiate l(c) wrt c.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -258*k**3*q**2 - 8151*k**3*q - 2*k**2*q - 2*k*q**2 - 132*q**2 - 4 wrt q?\nAnswer: -516*k**3 - 4*k - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 12. Let b = -23\/4 + l. Sort b, 1\/7, -3.\nAnswer: -3, 1\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 66 = 3*f, 0*f - 60 = 5*b - 5*f. Let k(p) = -4*p**3 - 70*p**2 - 25*p - 35. Let q be k(b). Which is smaller: q or -186?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3261473 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - l**2 - l + 11. Suppose -6*j = -3*j. Let p be f(j). Suppose 6*v - p = -5. Is -1\/71 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4044*p - 4044*p + 9*p**3.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 39 + 1 - (-3 + 0). Suppose -54 = 42*x - n*x. Let v = -24 - x. Solve 3*i + 3*r = -v, -2*r = -i + 3*r + 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -329 minus 574128469083?\nAnswer: -574128469412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 363731 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -867 divided by -50769\nAnswer: 289\/16923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2.616 (b) -0.5 (c) 12 (d) 0.06 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 10*n**2. Let x(y) = 276*y + 28872. Calculate x(v(g)).\nAnswer: 2760*g**2 + 28872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0 = -10. Suppose 0*i - 20 = -m*i. Let q = -31882 + 31884. Solve -q*c + 16 = 3*n + 7, -2*n = -i*c + 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from woxoooxwxwwxox. What is prob of picking 4 x?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*f*m**2 - f*m + 183377314*f + 2*m**3 + 394*m wrt m?\nAnswer: 50*f*m - f + 6*m**2 + 394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -538a (base 11) to base 8.\nAnswer: -15714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1754 - -7017\/4. Factor -5\/2*m**3 + 27\/4 + 27\/4*m + 7\/4*m**4 - a*m**5 - 9\/2*m**2.\nAnswer: -(m - 3)**3*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34\/3? (a) 2 (b) -2\/15 (c) 13824\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 5*q + 2. Calculate the lowest common multiple of i(-5) and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 562223296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 149555 to the power of 1\/2, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 731990 divided by -2.\nAnswer: -365995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*v - 11. Let x(s) = -s - 1. Let r(b) = b**3 - 5*b**2 - 7*b + 7. Let y be r(6). Let o(c) = -6*c - 15. Let z(h) = y*o(h) - 9*x(h). Give z(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*b**2 + 47*b - 98 - 125*b + 113*b**2.\nAnswer: 241*b**2 - 78*b - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 11:19 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5)**38*i**(-17)*((i**(-1)\/i)\/i)\/i assuming i is positive.\nAnswer: i**169","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4 = 0, j = -607*c + 609*c + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17771 - -17775. Determine t, given that -h*t - 2\/3*t**2 - 16\/3 = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 33 = -5*n, 4*n + 9 = 7*n. Let p be (-12)\/t*(-6 - -3). Solve -6*v = -p*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -20. Let w be (6\/(-4))\/(a + 20\/(-8)). Suppose 3*s + 17 = v, -4*s = w*v - 40 - 24. Solve -v = 4*r - 0*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/((r*r**(1\/34))\/r)*r))\/r*r*r**(-6))**(-47))**(-1\/34) assuming r is positive.\nAnswer: r**(-11139\/1156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 180 + -179. Solve 0 = q + b - 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25.78003 + -32.0725075. Let s = f + -0.0059525. Let y = -6.3 - s. Round y to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7162.167 kilometers?\nAnswer: 7162167000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 - x - 6. What is l(-3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4 + 964*m**3.\nAnswer: -4*m**3*(m - 241)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 16 + (0 + 2 - 4)*(0 + 3 - 4))*(-4*k**3 + 8*k**3 + 12*k**3) + (6*k + 63 - 63)*(-2*k**2 - 2*k + 2*k).\nAnswer: -172*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5458*y - 4 = -9 + 5. Let y - 16\/3*t - 4\/9*t**4 + 8\/9*t**3 + 44\/9*t**2 = 0. Calculate t.\nAnswer: -3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 3 (b) -0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 4:54 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 327934037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 36 = -12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - (-6 - -3)) + 0. Suppose 4*w = -s*c + 3*w + 8, -4*w = -2*c - 4. What is the third derivative of -c*q**2 + q**2 + q**6 + q**6 + 2*q**2 wrt q?\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1127\/28 - (56\/(-32) - (-1 + -1))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3061 + -940. What are the prime factors of o?\nAnswer: 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -43*v**2 + 1543*v + 1975. What is the derivative of x(h) wrt h?\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 21 = 24. Is 70 a factor of g\/(-2)*(-37050)\/171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -9\/77782?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1550 and 64515650?\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 13059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3319 by 12.\nAnswer: 3319\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 4 + 2)*(-2*a + 1 - 1) - 12242 + 12242 + 181*a)*(0 + 3 - 1) to the form d + z*a and give z.\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**4\/10 - 308*f**3\/5 - 8049*f**2\/5 - 57512*f\/5 - 99541\/10 = 0.\nAnswer: -589, -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10232, 10253, 10288, 10337?\n\"Answer: 7*l**2 + 10225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*x**6 + 19*x**2 - 58*x**5 + 59*x**5 + 36*x**2 wrt x.\nAnswer: -360*x**3 + 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(sqrt(27)\/sqrt(3) + sqrt(9)) + sqrt(63)\/sqrt(36))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1880 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -24602*m**2 + 2 - 24728*m**2 + 2*m + 49227*m**2 + (-m - 4 + 4)*((-3*m + 2 - 2)*(-4 - 1 + 4) + 0*m - 3*m + 2*m) as i + s*m**2 + z*m and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -18818415 divided by -1710765\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1663, 3061, 5395, 8665?\nAnswer: 12871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**4\/9 + 92*g**3\/9 - 2*g**2 - 92*g = 0.\nAnswer: -46, -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2604 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 621*w - 3532. What is the remainder when 399 is divided by i(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 7:54 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 5*w - 3*d, -2*w + 32844 = 2*d + 32816 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 79?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/38875 and 63\/357650.\nAnswer: 1788250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 4:50 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4\/2 - 135*o**3\/2 + 63*o**2 + 132*o.\nAnswer: 3*o*(o - 44)*(o - 2)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 0)\/((-10)\/30). Let a be 1\/1*-2 + f. Find the first derivative of -5*s**2 + a + 13*s**2 + 2 wrt s.\nAnswer: 16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (8\/6)\/(364\/271089)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 329 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Let x be (-3 + 4)*(-2 + v). Is 2 + (38 - (1 - x)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 11:57 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 406 = -1594. Suppose -12*z + p = -8*z. What is the remainder when z is divided by (-4)\/2 - 0 - -34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*y = -110*y - 30 - 16. Solve -5*g - y = r - 26, -4*r + 8 = -2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 107*x - 1889. Calculate o(-122).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 207 - 555*c + 175 + 464*c**4 - 382 wrt c?\nAnswer: 5568*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -478386, -478391, -478396, -478401?\nAnswer: -478406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from {e: 3, c: 13, m: 1}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 453800647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28282800 and 2000?\nAnswer: 141414000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i**2 - i - 2. Let v = 10 + -6. Let a = -6 + v. Let z(w) be the third derivative of 5*w**5\/12 + w**4\/6 + 4*w**3\/3 - 397*w**2. Give a*z(x) - 9*o(x).\nAnswer: 4*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -11726*f**2. Let j(y) = -25*y. Determine j(k(g)).\nAnswer: 293150*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 539, -629 in increasing order.\nAnswer: -629, 8, 539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2458\/338243 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/2500 and -116\/144375.\nAnswer: 577500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 7*f + 1. Let z be 85\/(-20) + -1*2\/(-8). Let v(u) = -2*u - 1. Let o be v(z). Give g(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 q, and 1 w when four letters picked without replacement from fqpqqiiwqaqi.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 6:27 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**4\/8 + 7*v**3\/6 - 20*v**2 - 14. Let r(g) be the second derivative of o(g). Let f(t) = -t**2. Give r(f(y)).\nAnswer: -3*y**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/5273 and 4\/975505.\nAnswer: 975505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0786 from 1.\nAnswer: 0.9214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20734 is divided by 89.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 551 + -271. Suppose -8*s + l = -6*s. Find the third derivative of 16*x**2 - s + 73 - 16*x**3 + 67 wrt x.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -145 - -147. Let b = 2 - -1. Let w(z) = -z**2 - z**3 + b*z + 2*z**2 + z + s*z**2. Calculate w(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 - 3652*r + 3650*r in the form s*r + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -27*y - 149. Let s(r) = -7*r - 37. Let m(g) = 2*j(g) - 9*s(g). Let l be m(-14). Let c = 223 + l. Is c a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = 3085 + 3203. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 164877, -2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 5347950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -23*o. Let v(p) = -231*p. Let s(t) = 2*v(t) - 21*y(t). Let u(d) be the first derivative of 3*d**2\/2 + 215. Give 4*s(b) - 27*u(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -u - 8, p - 15 = -5*u. Suppose -4*y - 32 = -4*x, x + 2*y + 28 = p*x. Let i = 3 - 1. Solve -3*d = i*n + 5, -n = d + 4*n + x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11051465.\nAnswer: 5, 29, 199, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -6. Let h(j) = -7*j**5 - 3*j**2 + 5*j. Let d(p) = -10*p**5 - 5*p**2 + 7*p. Let q(n) = g*d(n) + 7*h(n). What is the third derivative of q(l) wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(11) - sqrt(33)\/sqrt(3)) + 3)**2 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17535 and 125076.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13027274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u**2 - 93*u - 6*u**2 + 93*u. Let w(z) be the first derivative of z**2\/2 - 2. Calculate w(p(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 653 and 81408857?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.973 + -9. Let x = 0.273 - j. Which is the second smallest value? (a) x (b) 0 (c) 0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3173545 - 0.2006.\nAnswer: 3173544.7994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -a - 9. Let k be -18*1\/(-4) - (-3)\/a. Find the third derivative of 244*y**4 - 225*y**k + 3*y**2 + 2*y**2 wrt y.\nAnswer: 456*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1680520, 1680499, 1680478, 1680457?\n\"Answer: -21*o + 1680541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -357*d**6\/40 - d**5\/30 + 31*d**3\/6 - d**2 - 158*d. What is the third derivative of a(o) wrt o?\nAnswer: -6426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11339, -45543, -102611, -182549, -285363?\nAnswer: -411059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 181619 - 181616.1999825. Let s = l + -2.8. Round s to 6 dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16272236 a multiple of 1391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1\/8 (b) 8 (c) -9 (d) 5 (e) 48.1 (f) 2\/11 (g) 130\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-136 - -1)\/(83\/(-1494))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.957296 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (45\/30 + (-2)\/4)\/(-1) + 21. Solve j*l + 0*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-44\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*n**2 - a**2*n - 3*a**2*s**2 - 45*a*n*s + n**2*s**2 - 4*s**2 - 4*s wrt s?\nAnswer: -6*a**2 + 2*n**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in -4, -2\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 + 1 - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 176*0.030142\nAnswer: 5.304992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 10.2. Let n be 2\/3*12\/8. Which is the closest to 0.2? (a) 1\/4 (b) n (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1059? (a) 0.2 (b) 0.3 (c) -3 (d) -1.31 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**3 + 3*d - 3. Let g(j) = -j**3 - j. Let m be -1 - 0 - 684\/(-342). Let t be (8\/6)\/((-12)\/(-27)). Give m*y(q) + t*g(q).\nAnswer: q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4 + 39. Let l = -43 - s. Suppose -12*r - 95 + 335 = l. Solve 2*w = -3*w - r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57351*l + 57519*l + 57540*l - 172369*l.\nAnswer: 41*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/92 and -15\/15044.\nAnswer: 346012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 7*n. Let z = -13 + 8. Let f be i(z). Let w = -2 - f. Solve -w = r - 3*k + k, 4*r - 4*k = -12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -185*c - 929. Determine y(-6).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -327.0774 and 0.7.\nAnswer: -228.95418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**3 + 23315. Let n(j) = j**2 - j. Let g(f) = -2*f**2 + 3*f. Let c(d) = g(d) + 3*n(d). Give a(c(w)).\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/1*(24\/6)\/4*17\/17.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 61*j + 7328 = -62*j, 12212 = 5*d - j. What is the highest common factor of 132 and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -5, 231, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 298, -5, 2 in descending order.\nAnswer: 298, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -75\/30152?\nAnswer: -75\/30152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n + 26. Let p be a(-4). Suppose 4*h = -p*h. Solve m + 5 = -h*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 10:06 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-4) + -4)\/(5\/(-80)*4). Put n, -1, -17, -117, 5 in descending order.\nAnswer: 5, n, -1, -17, -117","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18 + 246d84?\nAnswer: 246d6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - r - 735 = -757, 0 = 2*u + 16*r - 12*r - 64 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -16*t - 1242, t = -4*w - 92331 + 92274 for t.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 47 + -11340173?\nAnswer: -11340125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**6\/20 + l**4\/8 + 3*l**2 - 7*l. Let u(x) be the first derivative of r(x). What is the second derivative of u(b) wrt b?\nAnswer: 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2, -15 = -5*y + 2*j + 139. Let z = y - 5. What is the remainder when z is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*z - 2218, 7*z = -4*q + 3*z + 3000. Suppose f - 753 = -q. What is the least common multiple of f and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 o when three letters picked without replacement from yyggoggffffoyo?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 c when two letters picked without replacement from kcrcufurrtufcur?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1165134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*s**3 + 7*s**3 + 45*s**3 + (-3*s**2 + 2*s**2 - s**2)*(-s - s + 5*s) in the form c*s**2 + b*s**3 + y*s + g and give b.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2*sqrt(38)\/sqrt(2) - sqrt(38)\/sqrt(2)*-4) + 1)**2.\nAnswer: -12*sqrt(19) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 58\/15 + (-56)\/(-11340)*27\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 4*o**2 + 5*o - 6. Let y(l) = -2*l - 15. Let x be y(-10). Let v be s(x). Let r(q) = 1 + q**3 + 4*q + 8*q**2 - 1 - q**2 - 6. Determine r(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 169 + 15 = 0. Let s = 40 - w. What are the prime factors of 7\/(7\/s) + 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3 + 2*l)*((0*l**4 - l**4 + 3*l**4)*(2 - 2 - 2) - 2*l**4 + 0*l**2 + 0*l**2 - 2*l**4 - 2*l**3 + 2*l**3 + 6*l - 8*l**4 - 6*l).\nAnswer: -32*l**5 + 32*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 1234*i + 967. Let n(q) = -17*q. Let p(j) = g(j) + 6*n(j). What is the derivative of p(k) wrt k?\nAnswer: 1132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 176, 186, 190, 182, 156, 106?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 7:14 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*o, 14 - 7 = 3*o - l. Let i(j) = 1. Let g(y) = -2*y - 2. Calculate o*g(a) + 3*i(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 128338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 225023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Let u = -418.23 - -418.51. Which is bigger: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3536830*n + 4 + 1.\nAnswer: 3536830*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -54854700 rounded to the nearest 100000?\nAnswer: -54900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 543 = 6*p + 2497. Put 2, 4, -4, p in descending order.\nAnswer: p, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + (-7566)\/1248)\/((-2)\/(-8))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence km when two letters picked without replacement from {u: 1, g: 4, k: 4, m: 1, b: 3, w: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1111010100011001110 (base 2) to base 10\nAnswer: 501966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 17*s**2 + 5*s + 1. Let k(h) = -9*h**2 - 2*h. Calculate -5*k(t) - 2*o(t).\nAnswer: 11*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 337207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-60)\/(-14))\/((-10)\/(-70)). Let o = -25 + y. Suppose h = -2*h + 165. Calculate the greatest common factor of o and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2 - 1 + 2*u - u. Let w be (-120)\/(-36)*(-12)\/10 + 46. Let q be (-35)\/w*-6*(1 + 0). Calculate a(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*c - 472 + 94. Suppose 13*b = c*b - 11016. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1649\/45388 + 1\/1621. What is the third smallest value in l, -4, -1\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 90754.9 days?\nAnswer: 7841223360000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-five quarters of a millisecond?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3445 - 3442. Which is the nearest to x? (a) 2\/3 (b) -0.8 (c) 1 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 150540 - 16?\nAnswer: 150521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4413*g*w**3 - 10*g*w**2 + 2160*g*w - g - 75*w wrt w?\nAnswer: 26478*g*w - 20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19477742 - -1176858?\nAnswer: -18300884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v + 5. Let b(c) = 3*c - 4. Let l(s) = -5*b(s) - 4*q(s). Let r(m) be the second derivative of -m**4\/12 + 2*m. Calculate r(l(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30023, -60038, -90055, -120074, -150095, -180118?\nAnswer: -210143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d + 2. Let x = -317 + 316. Let i be m(x). What is the closest to 13 in i, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s - 31*s + 12*s + 21*s.\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101110 - -100110001100011110?\nAnswer: 100110001010110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 772*q**3 - 1522*q**2 - 44*q.\nAnswer: 2*q*(q - 2)*(386*q + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 2*j + 13. Let l be s(9). Suppose 4*o = -0*o + l. Is o + (-1 - -2)*-3 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 61\/3 of a minute?\nAnswer: 1220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.12658 - -0.17342. Let g be (2\/3)\/(70\/63). Put g, f, 0.04 in decreasing order.\nAnswer: g, f, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -3.2, -6, -5?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-4) - 8\/32. Solve -2*a - 17 = 3*p + 2*p, 0 = a - d*p - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-3)*6\/(-4). Let x = 6 + m. Let c be ((-12)\/3)\/4*x. Is -2 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 - (-5 - -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 28911934 and 28911934 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -23*c**3 - 5*c**2 - 17*c. Suppose 0 = -8*u + 22 + 18. Let n(r) = -u*r + 8*r**3 - 2*r + 2*r**2 + 13*r. Give -11*n(p) - 4*s(p).\nAnswer: 4*p**3 - 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**5 + 16*t**4 - 50*t**3 + 76*t**2 - 56*t + 16.\nAnswer: -2*(t - 2)**3*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 266, 289, 314, 335, 346, 341, 314?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -0.2. Let w be ((-2)\/(-11) - (-92)\/(-22)) + 8. Which is the closest to -2? (a) -1 (b) w (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2 - 2*z + z**2 + z**2 + 0*z**2. Let o be t(2). Suppose 5*d = o*d + 429. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y*y**(-17))*y\/(y*y\/y**(-7)) assuming y is positive.\nAnswer: y**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2581273\/196 + -13170. Find the common denominator of k and 69\/196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t - 1. Suppose 4 = 5*v - 6. Let m be h(v). Factor -3*f**2 - 7*f + 15*f - m*f.\nAnswer: -3*f*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312355 (base 7) to base 2.\nAnswer: 1101000110111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*y + 188 = 5*t, 3*y + 73 = 2*t. Suppose -7 + 1 = 2*j. Let d = t + j. What is the remainder when d is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -666, 4, -4, -2 in ascending order.\nAnswer: -666, -4, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-200)\/(-90) + 52\/(-234) - 72?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/27186869 greater than or equal to 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {k: 2, d: 2, b: 8, c: 6}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 136*n = -135*n - 23, 8*d - 4*n + 44 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 6*f - 7. Let i(v) = -2*v**2 - 13*v + 15. Suppose z + 4*z - 4*t = 14, 0 = 4*z - 3*t - 12. Let d(m) = z*i(m) + 13*h(m). Factor d(s).\nAnswer: (s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 + -7)\/(-3) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 346547 (base 8) to base 15.\nAnswer: 24ee9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 u when three letters picked without replacement from ugpggggpgguguugugu?\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 23 + 5 = 0. Suppose 0 = -h*n + 2*n + 48. Suppose 3*b - n = -0*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 1627*b - 395378. Give g(243).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000024971189 to 7 decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*v = 226, -3*b + 180 - 20 = -v. Suppose -4*x - b = -5*j - x, 16 = j + 2*x. Solve -j - 3 = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/((-10)\/2))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49548 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*12\/(-80))\/(1\/(-5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.443 + -135.\nAnswer: -135.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001076816 to six decimal places.\nAnswer: -0.001077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 359497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -2. Suppose -a*x + 15 = -k, k = 4*x - k - 12. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 - 2 - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19, 33, 45, 55?\n\"Answer: -i**2 + 17*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18, 38, 160, 348?\n\"Answer: 33*j**2 - 43*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2 - 1\/4*x - 3\/4*x**2.\nAnswer: -(x + 1)*(3*x - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 5)*(-2 - 2 + 5)*(-5 + 1 + 3)*(-5*a**3 + 0*a**3 + 3*a**3) as n + o*a**3 + l*a + p*a**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*x - 15 = -56*x + 2*v, 5*v + 25 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -200 - -652240?\nAnswer: 652040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172 divided by -54322.\nAnswer: 86\/27161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.091 from -230.5.\nAnswer: -230.409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 5\/368106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 0) + -12 + 0 + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3066)\/735 + (5 - 3 - (-10)\/(-7))?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((0 + 2*(-1*sqrt(152))\/sqrt(8)*2)*-2)**2 + 0)*1.\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*(-12)\/(-156))\/((-7)\/((-7)\/1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.56 - -1.24. Let m = u - 2.9. Let h be (-14)\/3 - 1\/3. What is the nearest to m in h, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 10:50 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7149, -14292, -21447, -28620, -35817, -43044, -50307?\n\"Answer: -j**3 - 7136*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 160375827*c*n**3 - 457123550*n**3 wrt c.\nAnswer: 160375827*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 21*x**2 - 23*x - 28. Let l be h(-22). Let t(n) = -27*n + 23. Let i(j) = 9*j - 8. What is l*t(p) - 17*i(p)?\nAnswer: 9*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**8\/2240 - o**7\/840 + o**6\/120 - o**4\/6 - 5*o. Let m(j) be the third derivative of u(j). Suppose m(c) = 0. What is c?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 86 + 124. Let s = 209.96 - k. What is the smallest value in s, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + (-17 - -15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (671*d + 67 - 67)*(0 + 2 - 1) to the form b*d + y and give b.\nAnswer: 671","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2904\/((2\/(-8))\/(160\/(-128)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m**2 + 401 - 401 - 5*m in the form o*m**2 + k*m + z and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 7, 33, 81, 157?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j - 1. Let h = -180 - -182. Suppose 5*p - 3*l = 2*p - 3, 0 = 3*p - l + 11. Let b(c) = 8*c - 2. Determine h*b(d) + p*q(d).\nAnswer: -4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 3\/4, 8264, -3 in descending order.\nAnswer: 8264, 3\/4, 3\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3619, 3630, 3683, 3778?\nAnswer: 3915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 7:45 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106001 (base 8) to base 12.\nAnswer: -188a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44920 is divided by 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/141499 and 73\/9?\nAnswer: 1273491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i + 5*i - 16 = 0. Let p = -111 + 1111\/10. Which is smaller: i or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -11\/498303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 7:06 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 33*f**3 - f**2 + 6. Let a(o) = -65*o**3 + 2*o**2 - 11. Let c(d) = 6*a(d) + 11*j(d). What is the third derivative of c(w) wrt w?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 1, 0.4, -9\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/3)\/(s**(-4)\/s))**27 assuming s is positive.\nAnswer: s**99","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*g + 21, 0 = 5*g - 0*g - i - 27. Let w(q) = 20*q**2 - 10*q + 1 + 19*q - 5*q - g*q. Determine w(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(10) + -2*sqrt(10)*1))\/(1*(sqrt(245) + sqrt(245)*-1) + sqrt(245)).\nAnswer: -6*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/7, -8\/7, -0.5, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**0)**35*(r\/r**1*r)**41)\/((r**(-1\/3))**30)**(3\/23) assuming r is positive.\nAnswer: r**(1778\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b + 285*b**3 - 12*b + 232*b**3 - 2*b**2 + 42*b**3.\nAnswer: 559*b**3 - 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1204413 is divided by 1105.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.4, -4.8, -3, 20, 0.8 in increasing order.\nAnswer: -4.8, -3, -0.4, 0.1, 0.8, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 522 and 15254.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/8)\/(-4 - 21\/(-6)). Solve 5*b + 4*m + f = 0, -2*b - 29 = -5*b + 5*m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 5. Let u(n) be the second derivative of 0*n**w + 0 + 0*n**2 + 1\/42*n**7 + 0*n**6 + 0*n**3 + n - 1\/6*n**4. Find the third derivative of u(j) wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 3 + 0*u - 3\/2*u**2. Let m(y) = -2*y. Calculate f(m(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4.534368kg?\nAnswer: 0.004534368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/9 - 14*z**2\/9 - 14*z\/9 + 10\/3.\nAnswer: -2*(z - 1)*(z + 3)*(z + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 270*r**3 + 316*r**3 - 8 + 16.\nAnswer: 586*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 344 - 675\/2. Which is smaller: 6 or z?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 2 - -2) + 1 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1753 = 4*v, -v + 2462 = 4*b - 4580. Suppose 29*f = 32*f - b. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-537)\/(-6))\/(2\/(-8)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 19*x**2 - 4*x - 4. Let q(m) = 57*m**2 - 11*m - 11. What is -4*q(g) + 11*u(g)?\nAnswer: -19*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from prkrpkpkrprgpp.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 615978079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 8*s**2 + 3*s - 39. What is r(9)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -9 + 2*o + 9 + o. Let j(v) be the second derivative of 5*v**3\/6 - v. Determine j(h(d)).\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6*s + 28 = 0. What is s rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**3 - 15*n**2 - 24*n**2 + 10*n - 41*n**2 + 71*n**2 to t*n**2 + f + p*n + g*n**3 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7045, -6241, -19527?\nAnswer: -32813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -9*c**2. Let t(m) = 45*m - 30. Let y(a) = -11*a + 8. Let x(h) = -4*t(h) - 15*y(h). Determine q(x(k)).\nAnswer: -2025*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 8439*n + 50139. What is h(-6)?\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6472 + -1290.\nAnswer: 5182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 + 5*b**2 - 4*b**2 + b**2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -181 - 43*m + 181 as w + j*m and give j.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 2*1\/(-2). Let f(j) = 209 - 278*j**2 - j**3 - 208 + 273*j**2. Calculate f(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 128097869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17, -75, -171, -305?\n\"Answer: -19*m**2 - m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 2*j**2 - 7*j + 4. Let m be (-4)\/6 - 22\/(-6). Suppose -m*l + 17 = 2. Let s be b(l). Calculate the greatest common factor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2080?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 414148*m - 413975*m - 4 + 4.\nAnswer: 173*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - (1*sqrt(152)*2 + sqrt(152) + sqrt(152)))\/(4*sqrt(512) - sqrt(8)).\nAnswer: -3*sqrt(19)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -6012.881\nAnswer: -24051.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeppepeeppppeepeeepe. What is prob of picking 2 e and 1 p?\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 180523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -21, 3.\nAnswer: -21, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**0)**(1\/42))**3 assuming p is positive.\nAnswer: p**(1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -6\/11, -3, -2\/7 in descending order.\nAnswer: -2\/7, -6\/11, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 50 = 5*h, 2*k - 7193*h - 10 = -7189*h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1130030 + -123000020?\nAnswer: -121203330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7622 is divided by 191?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*z = -15*z + 126 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 1\/42*u**7 + 0*u**3 + 1\/15*u**6 + 0*u**2 + 0*u**4 - 2*u + 0*u**5 + 0. Factor w(b).\nAnswer: b**4*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 36*z**2 - 141*z. Let t(p) = 18*p**2 - 71*p. Let i(r) = 4*j(r) - 7*t(r). Find the second derivative of i(s) wrt s.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*c**3 - 28*c**3 + 61*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -129 - x**2 - x - x + 132. Determine g(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528735 a multiple of 349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 24 (b) 2 (c) -0.2 (d) 4\/7 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 219921 - 219924. Let x(c) be the second derivative of -c**4\/12 - 2*c**3\/3 + 2*c**2 + 2*c. Let p(r) = r**2 + 2*r - 2. What is v*x(u) - 7*p(u)?\nAnswer: -4*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6139 - -73621\/12. Calculate the common denominator of -54\/11 and b.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267662 is divided by 280?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 7 = 7*t + 590*y - 589*y - 5, 0 = 5*y + 40 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 - 89. Let p(z) = -z**3 - 13*z**2. Calculate p(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87 - -1804011\nAnswer: 1804098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**4\/12 - d**3 - d**2 - 12*d. Let h be y(7). Differentiate -2*b**3 + 3 - h + 10 + 0*b**3 wrt b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 5*v**2 - 7*v + 8. Let o = 202 + -199. What is the remainder when 97 is divided by d(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/69)\/m*m**(-24)*m**28\/((m**(8\/9)\/m)\/m) assuming m is positive.\nAnswer: m**(845\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15772021?\nAnswer: 593, 26597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 0*z**3 + 9*z**2 + 154 - 2*z**3 - 156 - 3*z. Suppose -3*w = -r - 31, -39 = -4*w - r + 7. What is the remainder when w is divided by p(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*x + 3656*x**2 - 22*x - 13*x)*(6*x - 3*x - x).\nAnswer: 7312*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 13*q**2 + 13*q - 11. Let b be l(12). Suppose -v + b = 3*r - 5*r, -20 = 5*r + v. Sort -4, r, 33 in descending order.\nAnswer: 33, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 2. Suppose 3*x + 2*v + 21 = -0, x + z*v = -7. Let t be (-12)\/4 - 1*x. Solve t*d = -4*h + 11 + 5, -6 = -2*h - 4*d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -6, 9115, -0.106?\nAnswer: 9115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17476.41 rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x - 5. Let h(g) = g**3 - 1. Let n(l) = c(l) - 5*h(l). Find the second derivative of n(o) wrt o.\nAnswer: -30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-10))\/((-32)\/40). Let w = 0.06 + -0.09. Let t = -2.03 - w. What is the nearest to x in t, 1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -16, 3 in descending order.\nAnswer: 3, 0, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*d**4\/2 + 390124*d**3 + 1552916444*d**2 - 887476368*d + 126786888.\nAnswer: (d + 7962)**2*(7*d - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4625627870.\nAnswer: 2, 5, 462562787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-6\/5)*k)**25\/(k**(-14))**(3\/16) assuming k is positive.\nAnswer: k**(181\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1488839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -295633*c**3 + 3*c**2 - 5009*c wrt c.\nAnswer: -1773798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 242138371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 14) to base 12\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) 3 (c) 0.1 (d) 0.4 (e) 0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**4 - 3078*k**3 - 1290756*k**2 - 124849512*k - 1503466272 = 0.\nAnswer: -162, -14, 1364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227575?\nAnswer: 5, 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1*(-22)\/55*35\/(-14)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w - 1. Let i be d(0). Let m be 6 + -6 - (-4 - (i + -2)). Solve x - 3*s + 0 = m, 3*x + 5*s = -11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*c**5 + 23364*c**4 - 1573840*c wrt c.\nAnswer: 380*c**3 + 280368*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186620 is divided by 85?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 869 divide 705770978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 5 (b) 2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, b: 2, d: 2}. Give prob of sequence biid.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5))**36 assuming d is positive.\nAnswer: d**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6 + -7.6. Let i = w + 4. Let l = i + 1.9. What is the nearest to l in 2, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 c when four letters picked without replacement from {x: 6, g: 7, c: 1, j: 1, l: 2, u: 2}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 7:55 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 41*v + 304 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-14)\/(-105)*10\/(-8)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -154 + 42. Suppose 2*g - 40 = 4*g. Let c be g\/d + (-2)\/(-8). Is c less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 410\/(-123)*(-3)\/5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 55*q**2 + 75*q + 135.\nAnswer: 5*(q - 9)*(q - 3)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 246, 509, 792, 1101, 1442?\n\"Answer: p**3 + 4*p**2 + 244*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -9*v**2 - 618*v - 58. Let s be c(-69). Is 1\/7 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/630 and 68\/693.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.11 - 0.61. Let y(g) = -g**3 - 13*g**2 - 41*g + 5. Let d be y(-7). Which is the nearest to d? (a) n (b) -2\/9 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -10. Let l = j + -2. Suppose 0*i + 3*i - 93 = l. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15172.\nAnswer: 2, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*j + 248 = -2*g, -4*j - 174*g = -169*g - 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 135111837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, j: 2}. What is prob of picking 1 g and 2 j?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/1*(-9)\/(-12)*(-3)\/12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 348 and 11865\/34 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 237, 391, 579, 813, 1105, 1467?\nAnswer: 1911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a factor of 25654690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 5*g - 3*g + 2*u, -4*g = -5*u + 19. Let s = -6 - g. Suppose 2*j = -3*v, 0 = -v - 0*j + s*j. Which is the nearest to 0.1? (a) v (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + y - 4 = 0, 5*i + 4*y + 0 - 4 = 0. Sort i, 5, -8 in increasing order.\nAnswer: -8, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 26 = -r - 4*s, 2*r = 4*s - 24. Let l = r + 5\/2. What is the nearest to l in -2, -13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*t - 17 = -72 - 59 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 323 - 323 - 2*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 206226989\/74568 - -17\/9321. Let u = n + -2770. What is the common denominator of u and -23\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 92310, -18, 0 in descending order.\nAnswer: 92310, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 604926 and 547314?\nAnswer: 11493594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3796957 is divided by 287.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 0.09405?\nAnswer: 0.29405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2528 and 71969.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6436966 divided by 3218483\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5 - 14*u**4 + 20*u**3 + 36*u**2 - 54*u - 54 = 0. What is u?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 25*p - 13. What is v(22)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 1, -11, -24, -4, -1, -5 in ascending order.\nAnswer: -57, -24, -11, -5, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 5:30 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -37919, -75170, -111123, -145130, -176543?\n\"Answer: 108*k**3 + k**2 - 38010*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r - 5*r + 26*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1264\/90 + 176\/(-3960)*(0 - -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27113 - -27112.9. Suppose -2*g = 26 + 100. Let f = g + 251\/4. What is the closest to f in 2\/9, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21772 (base 8) to base 10\nAnswer: -9210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491945 is divided by 16398.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - 5*m. Let q = 865 + -859. Let b(l) = l**2 - 6*l. What is q*w(i) - 5*b(i)?\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 1 - 8*x**2 - 1.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*y + 121*y = 5*h + 85, -y = -3*h - 35. What is the remainder when 2099 is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 308705, 2469613, 8334933, 19756871, 38587633, 66679425, 105884453?\n\"Answer: 308701*k**3 + k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -5. Let z(i) = i**2 + 1. Let t(q) = q**3 + 9*q**2 + 1. Let n(h) = t(h) - 2*z(h). Let s be n(x). Calculate the greatest common divisor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 4081026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 0. Suppose 0 = -29*m + 6*m. Let l(u) = m*u - 6 + u + 2 + 7 - 6*u. Let k(n) = 4*n - 2. Give x*k(t) - 2*l(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 586227 to the nearest integer?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u + 0 + 0. Let c(t) = 14*t - 23*t + 10*t. Give p(c(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -16145*y + 16142*y - 4 - 32 - 2. What is g(-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -44070 - -49?\nAnswer: -44023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -209 + 208.01. Let j = -0.06 + x. Let u = j - -0.05. What is the nearest to u in 0.2, -2\/11, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66837.8595 rounded to the nearest one hundred?\nAnswer: 66800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or 190\/31?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**5*x - 23205*a**4*x**2 + 9*a**2*x**2 + 13*a**2*x - 35*a*x**2 wrt a?\nAnswer: 120*a**2*x - 556920*a*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9089*11 - (-55 + 57) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 21*n - 42 = -4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 873916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/72530 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-n**5 - 2*n**5 + 2*n**5) - 2*n**5 - 2*n**5 + 2*n**5 + (1 + 2*n - 1)*(n**4 + 1 - 1) + 0 - n**5 + 0 - 2*n**5 - 74*n**5 + 63*n**5.\nAnswer: -15*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1438018463?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 0 + 0)*(h**3 - 3*h**3 + 4*h**3) + (0*h**2 + 0*h**2 + h**3)*(2*h - h**2 - 2*h) + 4*h**5 - 5*h**5 + 3*h**5 - 3*h**5 + 0*h**5 + 5*h**5.\nAnswer: -h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**2 + 1\/6*j**3 - 1\/80*j**5 - 1\/24*j**4 + 0 + 64*j. Let i(a) = 0. Calculate a.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 10600059?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -340?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.26\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/1864 and 37\/34?\nAnswer: 31688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*u + u - 4 = 0, -7 = -4*v + 3*u. Let b be v\/4 - (-1177)\/44. Let a = 17 + b. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111254 to the power of 1\/2, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 12:30 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 590381, 2361517, 5313415, 9446081, 14759521?\n\"Answer: m**3 + 590375*m**2 + 4*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22393 is divided by 972?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iziziizsizizis. What is prob of picking 2 s and 2 z?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15876*l**3 - 3789576*l**2 + 226141444*l.\nAnswer: 4*l*(63*l - 7519)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + 7. Suppose 1 - 2 = -a. Suppose a - 5 = -d. Calculate the lowest common multiple of s and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 4*r**2 - 7*r + 4. Suppose 8*s - 3 = 37. Let n be f(s). Let q(l) = -l**3 - 6*l**2 - l - 7. Calculate q(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - -1) + -4 + 3. Suppose 5*s + a*z - 22 = 8, -4*s + 3*z + 1 = 0. Suppose 4*r - 104 = -s*c, 5*r - r = -3*c + 100. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 23. Calculate j(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 5. Let f be q(7). Suppose -20 = -4*i + 8. Solve 3*l + i*x - 16 = f*x, 5*l + 3*x = 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**3\/6 + 20*c - 14. Let t(k) = 6*k - 5. Give 10*n(p) - 2*t(p).\nAnswer: -2*p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 2:47 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.1 - 1.1. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 2. Let n(r) = 2*r**2 + 5*r. Let b(j) = -2*j - j**2 + 4*j**2 + 4*j + 6*j. Let l(s) = 5*b(s) - 8*n(s). Give v(l(m)).\nAnswer: -m**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 10:49 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -3.9. Let f be 4 - 10\/51*21. Which is the smallest value? (a) r (b) -1\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 - 6*t - 6. Let u be n(5). Calculate the highest common divisor of 26 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 o, and 1 h when three letters picked without replacement from {s: 2, o: 2, f: 1, v: 1, h: 1, p: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4, 9, 4, -17, -60?\n\"Answer: -o**3 + o**2 + 9*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.408 and 0.0265809?\nAnswer: 0.3814191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -299*f + 1348*f + 1349 + 6662 + 4577 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4.26*-7.959\nAnswer: -33.90534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 8*v**2 + 5*v - 5. Let q(g) be the first derivative of -7*g**3\/3 - 2*g**2 + 4*g + 113. Determine 5*l(b) + 6*q(b).\nAnswer: -2*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 1 - (-15 + 13). Suppose w + 12 = h*i, 5*w - 36 = -3*i - i. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4037662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8843 and 3824?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -1. Let s(l) = -7*l**2 - 675*l - 293. Let y be s(-96). Let n(t) = -5*t + 8. Give y*h(g) - n(g).\nAnswer: 5*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - (28 - -3)) + -7 + 0 + 1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -27*c**4 - 83*c**3 - 67*c**2 - 13*c + 8. Let k(f) = 40*f**4 + 124*f**3 + 100*f**2 + 20*f - 12. Let y(p) = 8*d(p) + 5*k(p). Find r such that y(r) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**4\/12 + 22*s**2. Let n(p) = 151*p**2. Give q(n(r)).\nAnswer: 302*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1505, -1202, -723, -68, 763, 1770, 2953?\nAnswer: 4312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.48 less than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7120987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**4\/12 + 7*o**3\/6 + 4*o**2 - 55*o. Calculate t(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11039 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) - sqrt(3)*-4) + -5)**2 - (sqrt(108) + -1))*-1.\nAnswer: -101 + 56*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19468 by -314.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4 = 4*w, -4*w + 8 = 4*l - 4. Let m(f) = -4*f**w - 24 - 2*f + 11 + 14 + 18*f**2. Does 13 divide m(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 67 - -544?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + j**2 + 2*j - 4. Let k(p) = -5*p**3 + 4*p**2 + 9*p - 17. Determine 2*k(u) - 9*v(u).\nAnswer: -u**3 - u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182540 divided by 18254.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 2. Is (k - -1) + 180\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 7*b - 2. Let r be -3 + b\/(2\/(-6)). Let h(g) = g + 5. Give h(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 31. Factor 2*a**2 + 14*a - 1 + 1 - w*a.\nAnswer: 2*a*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 2*b - 701. Let h be f(28). Solve 48*y = -h*y - 450 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11355?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4770 = -530*y + 5300 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -395 - -598. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519826308*r**3 - 1039652623*r**3 + 519826313*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*8\/230)\/(154\/385).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s**2 - 27*s + 3. Let t(h) = 4*h**2 - 18*h + 2. Let n(f) = -5*d(f) + 7*t(f). What is n(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -741 + 740.96. Which is the second biggest value? (a) h (b) -5 (c) -8 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 66133? (a) -0.4 (b) 4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14 and -66806721.\nAnswer: -66806735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -15 - 20 - -13) + 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16778.99 + 16779. Which is the fifth biggest value? (a) -0.4 (b) 0.5 (c) -1 (d) 74\/7 (e) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2620 - -7677. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419270909 a multiple of 1987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54 + 49 - 161 - 16*w**3 + 51 to q*w**3 + j + o*w**2 + p*w and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, 56 in increasing order.\nAnswer: -7, 2, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(800)*2 - 2*sqrt(800)*4)\/(5*-3*-5*sqrt(30)\/sqrt(3)).\nAnswer: -16*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3 - 17. Suppose -28 = 2*b - 6*b. Calculate the remainder when b is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032 times -3261?\nAnswer: 104.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 11 + q + 24 - 2*q to t + o*q and give t.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -1482 and -210568.\nAnswer: -212050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.3 + 8.3. What is the third smallest value in 0.2, q, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1978979749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -55.25. Is -2 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 2 - 1936\/3*d**2 - 86*d - 1\/18*d**4 + 88\/9*d**3. Factor w(x).\nAnswer: -2*(x - 44)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-4) + (-634)\/72. Let z = c - -853\/99. Sort -5, z, 6.\nAnswer: -5, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9514 - -4?\nAnswer: 9518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36*(-9)\/(-2268)*6\/(15\/(-5)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -96*f + 116*f - 60. Let a(o) = 14*o - 16. Calculate a(f).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 + w**2 + 0*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -29. Suppose 27*d + 27 - 243 = 0. What is the units digit of (0 - -3) + (-68)\/d*w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -17*p**2. Let i(n) = 35*n - 3. Determine a(i(z)).\nAnswer: -20825*z**2 + 3570*z - 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 + 531672*t**3 + 17671979124*t**2 + 317966439600*t + 1430655210000.\nAnswer: 4*(t + 9)**2*(t + 66450)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + (-91)\/(-21))\/(2\/3). Let k be -15*(z - (-81)\/(-15)). Suppose -280 = -k*l + 1076. What are the prime factors of l?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3339*o + 87904 = -65690 for o.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -9*l - l**2 + 0*l + 21*l + 0*l + 2*l + 46. What is s(19)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.36, 3, 28, -4, -0.2?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/3)*(y\/((y*((y\/y**(-11))\/y)\/y)\/y)*y)\/y)\/((y\/y**(7\/2))\/((y*(y**(-1\/12)\/y)\/y*y)\/y)) assuming y is positive.\nAnswer: y**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1437578?\nAnswer: 2, 19, 37831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 11:12 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 306*f - 20201. What is m(66)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2113*d**4 + 66*d - 15?\nAnswer: -25356*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49632 and 5071.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8567.\nAnswer: 13, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -105 + 102. Calculate the common denominator of 111\/56 and 1 + (-3 - (q + (-255)\/(-20))).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.0353 - 168285.\nAnswer: -168265.9647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*n - 257*n = -392. Solve 22 = 2*g + n*u, 0 = -3*g - 2*u + 260 - 247 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44716, -44718, -44720?\nAnswer: -44722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -0.2 (b) 23 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33754 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15383990*z**2 - 16753606.\nAnswer: -30767980*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9076 + 5071 = 445*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t + 3\/4*t**4 + 1\/3*t**3 - 3\/2*t**2 - 2. Factor x(s).\nAnswer: (s - 1)*(s + 1)*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 648534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (t - 4*t + 2*t)*(5 - 4 + 1) + 876*t - 369*t + 483*t as r + m*t and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*c**2*u**2 + 10605*c*u**3 - u**3 - 4709*u**2 - 9 wrt c?\nAnswer: 8*c*u**2 + 10605*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**7\/2520 - g**6\/720 - g**5\/30 - g**4\/24 - 4*g**2. Let c(m) be the second derivative of j(m). Calculate c(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(2\/3))*z**(-10))**36\/(z**(-2\/21)*z**(-2\/25)*((z*z**(-1\/2))\/z)\/(z*(z*z**(-1\/3))\/z)) assuming z is positive.\nAnswer: z**(-401791\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4\/3 + 229*g**3\/3 + 231*g**2 + 695*g\/3 + 232\/3 = 0.\nAnswer: -1, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115259\/314310 - 2\/52385. What is the common denominator of -46\/33 and o?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/84)\/((-26)\/(-39)). Let m be 42\/130 - 72\/180. What is the third biggest value in 4, c, -0.2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2203 + 3953 = 157*a - 1694. Calculate the remainder when 2613 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 5, 0.1, 20, -3 in descending order.\nAnswer: 20, 5, 0.2, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -0.06, 54?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.619447338755 and -0.9.\nAnswer: -0.280552661245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 h when two letters picked without replacement from {p: 8, c: 1, o: 3, l: 4, h: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*p**2*r**4 + p**2 - 57*p*r**4 + 164 with respect to r.\nAnswer: 16*p**2*r**3 - 228*p*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7119, 14236, 21355, 28476, 35599, 42724, 49851?\nAnswer: 56980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rere when four letters picked without replacement from {r: 3, e: 7}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86975 is divided by 291?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 9*h. Suppose -4*g + 4*m = -148, 2*g + h*g = -2*m + 62. Let f = -35 + g. Put f, 7, 4 in ascending order.\nAnswer: f, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 8:01 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, k: 3, t: 4, d: 2}. Give prob of sequence tk.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r - 16. Let l be q(4). Suppose 4*m - 3 - 29 = l. Suppose -m*a + 70 = -a. Calculate the highest common factor of 50 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -c + 28. Let l = c - 158. Let g = 26 - l. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -346, -335, -324, -313?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43 in 0.5, 0.4, 6\/35, -1\/2, 1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 10:56 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.25509, 3\/4, 0.3, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 15*v - 7. Let c be i(11). Let x be c*(16\/(-4))\/(-4). Let m = x + -35. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 356, 714, 1072, 1430, 1788?\n\"Answer: 358*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(720) + 2)*-2)**2)*-5 - (sqrt(35) + (sqrt(1260)*1 - sqrt(1260) - sqrt(1260)))\/(2*sqrt(7)*-3)*-2.\nAnswer: -14455 - 2875*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**5\/20 - z**4\/3 - z**3\/2 - z**2\/2 + 22*z. Determine w(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334*q + 5350 = 2*c - 337*q, 3*c = -5*q + 8006. What is the remainder when c is divided by 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4787390445?\nAnswer: 3, 5, 11717, 27239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1343, -1342, -1341, -1340, -1339, -1338?\n\"Answer: i - 1344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 + 1)*(2*s**3 - 1 + 1) - 17*s**3 - 17*s**3 - 5*s**3)*(-s + s**2 + s).\nAnswer: -43*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-2\/9))**(1\/21))**(-1\/16))**(-50))**(-14) assuming s is positive.\nAnswer: s**(25\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -30, -1191, 0?\nAnswer: -1191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 4202 + -1999. List the prime factors of a.\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 7, 0, -4 in ascending order.\nAnswer: -29, -4, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 1\/3, 18, -0.01, -2\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.1, 2\/5, -0.0958?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 392619 to the power of 1\/2, to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/15)\/(6\/15). What is the second smallest value in 4, -1\/8, z?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 179*g**7\/7 + 69*g**3 + 282. What is the third derivative of a(p) wrt p?\nAnswer: 21480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*r - 110 = -225*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzy when three letters picked without replacement from lzlilxzsyyy?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 1 - (-7)\/(700\/19105). Let c = l + -192. Calculate the common denominator of c and 113\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*d = -34*d - 80 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 8*x + 13*x - 13 = 0, 0 = -5*l + x - 17 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3648 is divided by 911.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*i - 5, 4*i + k + 4 = i. Let l(j) = -j**3 - 2*j**2 - j + 1. Calculate the remainder when l(i) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(24)\/sqrt(4))*5.\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50? (a) 0.4 (b) 0.2 (c) -3\/22 (d) 1\/2 (e) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2153?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65335 and 17082.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1\/b)\/b*b*b**(-3\/7)\/b*b*b)\/(b*b\/(b**(-1)*b*b))**(-1\/8) assuming b is positive.\nAnswer: b**(39\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18279 rounded to two decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 3*s - 1. Suppose 67 = 4*p - 109. Suppose -p*i - 16 = -48*i. Give u(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11\/(-22) - 3\/(-2). Which is greater: 2 or b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 32?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 8:47 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 2*m**2 - 3*m. Let d be h(-2). Calculate the remainder when 21 is divided by (-18 + -2)*4\/d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1001.7 - 1074. Let h = q - -72. Which is the nearest to h? (a) 5 (b) -0.4 (c) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -12*g + 68. Calculate o(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**5\/60 - k**4\/6 - 20*k**3\/3 - 2*k**2 + 626. Calculate w(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 20 = 5*p. Suppose 3*v = p*v. Suppose 4*y = -z + 24, v*z + 4*z - 2*y = 24. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 16 = -4*q, 2*y + 3*q = q - 4. Put y, -4, -5 in decreasing order.\nAnswer: y, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*u*y**2 - 904*u*y - 2*u + 8*y**2 - 4469 wrt u.\nAnswer: -19*y**2 - 904*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 184420 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 13*u - 11. Let y(p) = p**3 + 15*p**2 - p - 4. Let q be y(-15). Is f(q) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/20379 or -5.23?\nAnswer: 4\/20379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iml when three letters picked without replacement from kllkllilklklkkm?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**4\/15 + 50778*i**3\/5 + 197903696*i**2 + 513730931320*i\/3 = 0.\nAnswer: -37630, -907, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + g + 3*t - 25, 5*g = 4*t - 45. Which is the closest to 1? (a) g (b) 4 (c) -1\/4 (d) 8\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rac when three letters picked without replacement from {a: 4, r: 7, c: 6}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k + 2*k**3 + 3*k - 1 + 1 - 2*k**3 + (3*k + 2*k - 3*k)*(3*k**2 - 4*k**2 - k**2) + k**3 + 415*k**2 - 225*k - 245*k**2 - 173*k**2.\nAnswer: -3*k**3 - 3*k**2 - 225*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70895025.\nAnswer: 3, 5, 487, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 324.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38856 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -335536054?\nAnswer: -335536047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 0.1326, 1\/7 in decreasing order.\nAnswer: 1\/7, 0.1326, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 13 = 3*k, -k + 10 = k - 2*z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2106*z**2 + 189539*z + 66. What is j(90)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (25 + -3 + -5 + 3 + -2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86 + -135. Let o = t + 54. Let v = -28 + 36. Solve 3*g - 13 = o*s, v = -4*g - 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30023089 to the nearest 10000.\nAnswer: 30020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19395197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4634761.326932 - -4634670.4. Let l = 90.91 + g. Let p = 0.017 + l. What is p rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6.78, 0.16, 2.9991?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -11, -3 in decreasing order.\nAnswer: 2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15687, 31224, 46607, 61830, 76887, 91772, 106479?\nAnswer: 121002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 272477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 40363376 (base 8) in base 3?\nAnswer: 121000112000121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77819910 divided by -6.\nAnswer: -12969985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -28) + -2 + (9 - 13).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 - -4424414?\nAnswer: 4424341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**3\/3 - 7*d**2\/2 + 13*d + 8. Let l be n(7). Solve 0*i + i = 3*z - l, -2*z - 3*i = -5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5687 = 2*d + 11430 - 5697 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542*q + 5*t = 544*q + 93, -67 = 21*q + t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 6*o**2 - 255*o - 1823. Let r be b(-7). Let q = -3 + 2. What is the nearest to q in 2, r, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 25 = -3*v + 5*t, -t + 15 = -3*v. Let a be (24\/(-5) - v) + 108\/10. Which is bigger: 12 or a?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*t = 103 + 110 + 486 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 5*x + c + c, 2*c + 160 = 5*x. Calculate the remainder when 59 is divided by x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22446819\/11 at least as big as 2040619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 t when three letters picked without replacement from {v: 1, o: 3, t: 10, k: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -455 + 777. What are the prime factors of x?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000893498 rounded to 6 dps?\nAnswer: 0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (3342\/225 + (-2)\/(-25))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -493 + 4*h - 490 + 2*h + 981 - 3*h.\nAnswer: 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 + (-3 - (1 + -46 + 0)) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 21*g - 36. Let m be o(18). Let z be 4\/(-3)*m\/132. Which is the third biggest value? (a) 1\/11 (b) 5 (c) z (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08 - 0.78. Let i = 1 + l. Let r = 0.2999984 - i. Round r to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -228 or -685\/3?\nAnswer: -228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9413816 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 48 = -0. Put a, 1, -5 in increasing order.\nAnswer: -5, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -g - 2*f, -3*g + 36 = -g - 3*f. Let w = -138 + 146. Let u be 40\/12 + w\/(-2). What is the biggest value in g, 0.1, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 2:52 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 224 + -215. Let q(k) = -k**3 + 14*k**2 - 16*k - 5. Calculate the remainder when q(b) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c = 0. Suppose 5*i - 31 - 59 = c. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68467905 to the power of 1\/2, to the nearest integer?\nAnswer: 8275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 382.396 times -0.2\nAnswer: -76.4792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 2*j**2 + 7*j + 7. Let c be m(4). What is the second smallest value in c, 2\/5, 1\/3, -10?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -786 = -4*k - 2*p, 0 = -2*k - 3*k - 5*p + 975. Calculate the greatest common factor of k and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 - -100. Suppose 0 = 4*l - a*l + 36. What is the smallest common multiple of 112 and l?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/7*14\/((-84)\/12)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1343 - -2928. Suppose 3*q - 4*x = w, 4*x = 3*q - x - 1583. Does 20 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 2. Suppose -136 = -118*s - 18. Calculate c(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, -4, -3.9 in decreasing order.\nAnswer: -6\/11, -3.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 16. Let o = q - -7.5. Which is the second biggest value? (a) -3\/4 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - 81. Let a = w + 78. Which is greater: -37 or a?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2\/4 + 2110*g - 4219 = 0 for g.\nAnswer: 2, 8438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*m + 36 = 75*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**2\/9 + 1856*u\/9 + 620\/3 = 0.\nAnswer: -1, 465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -8 (b) 3 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 725280508 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18400*a**6 - 13*a**5*y**3 + 106102*a**2*y**3 - 30*a*y**3 wrt a.\nAnswer: -2208000*a**3 - 780*a**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/6)\/(2\/(528\/(-36))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5 + (4*sqrt(156)*2)\/(sqrt(12) - (sqrt(12) - sqrt(60)\/sqrt(320))))*6)**2.\nAnswer: -368640*sqrt(13) + 30685248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 16*s**2 - 11*s - 50. Let c be i(4). Let w = -44 - 4. Let y = c + w. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 8\/9*k**4 + 76\/9*k**3 + 0 + 40\/3*k**2 - 2\/9*k**5 = 0 for k.\nAnswer: -3, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35047*g - 35043*g + 24 = -4*y, 5*y - 29*g = -30 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**4\/12 + 5*w**3\/2 - 4*w**2 - 75*w. Suppose -m - 45 = 2*m. Let g be n(m). Is -8 != g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {z: 4, c: 4, d: 10, o: 1}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3296, -13133, -29504, -52409?\n\"Answer: -3267*n**2 - 36*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-2) + (-2770)\/(-20) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -313.2?\nAnswer: 1252.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 10*k**2 + 12*k - 9. Let c be b(11). Suppose 0 = 3*o - z - 18, 5*z - 6 = -3*o + c*z. Solve -n = -o*t + 4, 0 = 3*t + t + n + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1890 and 2310?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07 + -0.23. Let u = -5 - -4.7. Let d = 0.2 + u. Which is the third biggest value? (a) 5 (b) n (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 6. Let p be l(-2). Let q be -1*(3 - p) - (-414 + -5). Suppose -10*v = 4*v - q. Which is greater: 31 or v?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 232*v + 13 - 12 - 7 to the form o + x*v and give x.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 8*v - 7. Let a be h(9). Suppose -a*w - 48 = -454. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41557046 to the nearest integer?\nAnswer: 6446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 564831 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -264\/6439?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*t + 11 = 4*z, 3*t + 1 = -z. Let b(l) = 561*l - 3. Let u be b(t). Is u\/(3\/12*-6) + 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 4, 242, 5616 in descending order.\nAnswer: 5616, 242, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9194 (base 15) to base 7.\nAnswer: 155422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**3\/3 + 13*c. Suppose 3*v + 14 = 4*i, -i + 5*v = -3*i + 20. Let y(u) = 3*u. Calculate i*y(w) + 8*z(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-9) - 106695\/81. Let c be ((-4)\/(-8))\/(s\/438 - -3). Let r be c\/(-7) + (-42)\/98. What is the highest common factor of r and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-10))\/(8\/(-80)*15). What is the closest to -2 in a, -0.4, 3\/4, -28?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 880*n - 4408 = -615*b + 613*b, -3*n + 3*b + 3 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**2 + 20*o. Let w be j(5). Let d(t) = w + 17*t**2 - 25. Let h(i) = i**2 - i - 1. Let n(x) = x + 1. Let g(a) = -h(a) - n(a). What is d(g(p))?\nAnswer: 17*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 609, 4962, 16807, 39888, 77949, 134734, 213987?\n\"Answer: 624*n**3 + 2*n**2 - 21*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) - (sqrt(605) + (sqrt(605) - (sqrt(605) + 1))*-1)) + 1 + -2 + sqrt(605).\nAnswer: -2 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*1 + (-40)\/8. Let t be 2\/12*(u - -4). What is the second smallest value in -0.1, -3, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38 and 3229478?\nAnswer: 61360082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -160 divided by -40\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*y**2 + 3)*(4 + 4*y + 4*y + 2*y**2 - 7*y + 2*y + y**2 - 2*y + (-y - y + 4*y)*(2*y - 5*y + y) + 3*y - 3*y - 2*y**2).\nAnswer: 6*y**4 - 2*y**3 - 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25592*n**2 - 4 - 2*n - 8*n**3 + 8*n + 25593*n**2 to the form r*n**3 + g*n**2 + t + d*n and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (4 + -8))\/((-8)\/1)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 68\/(-20) + 4\/10 + 2. Is 0 + (64 - l) + -3 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 193, 509, 949, 1507, 2177, 2953, 3829?\nAnswer: 4799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1494174 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/38425696 and 13\/52835332.\nAnswer: 422682656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 + (-17)\/((-476)\/(-96)) + 0 and -37\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -21411*n - 21413. What is s(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 10*r. Let d(c) = c. Let i(f) = 3*f. Suppose 5*w + s = -4*s + 10, 0 = -2*s. Let u(j) = w*i(j) - 7*d(j). Give a(u(y)).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 15. Let c be (a + 15)*(-9)\/(-2). Let y = c + 26. What is the remainder when y is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1379\/9 + 153. Put -2\/7, -5, a in ascending order.\nAnswer: -5, -2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 6:15 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1 = j - 16, 4*j + 4*r = 28. Suppose 2*s - 4 = 3*c, j*c = -5*s + 4*c + 32. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -11. Let q be (-4 + d)\/(2\/2). Solve q = -0*w + 4*w + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 3*q + 11. Let s be w(-5). Let u(r) = 3718*r**3 + 2*r**2 - 7*r + 6. Is u(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z**2 + 1. Let q be p(-1). Suppose 8 = -0*a + 4*a. Suppose -q*j + 880 = l - 3*j, -a*l - 3*j + 1788 = 0. What is l rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23373 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7253 is divided by 1562?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -2*i - 10, -9*j = -4*i - 11*j - 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1985, 3981, 5977, 7973, 9969?\n\"Answer: 1996*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, -2, -3 in decreasing order.\nAnswer: -2, -3, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*j + 0 - j**3 + 25 to f*j**2 + z + m*j + k*j**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 360851559 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -17589*t. Let m(l) = l - 536. Give m(z(h)).\nAnswer: -17589*h - 536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1339*s**2 - s + 3. Does 74 divide m(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1021*u - 51124 = 194*u - 13459 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/6 of a week?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 41*d + 184. Let h be i(-36). Solve 0 = -2*k - h*v - 14, 2*k - v = -3*v - 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 7*s**2 - 5*s - 2. Let n(f) be the third derivative of f**5\/15 - f**4\/8 - f**3\/6 - 499*f**2. What is 5*n(z) - 3*o(z)?\nAnswer: 3*z**3 - z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, c: 5}. Give prob of sequence cjjj.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -0.2, -0.5, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**7\/5040 - y**5\/60 + 2*y**2. Let z(o) be the third derivative of f(o). Let j(l) = -2*l**2. Give z(j(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/((t*t**0*t)\/t)*t))**(-38)*(t\/(((t*t\/(t\/t**(-2\/23)*t)*t*t)\/t)\/t))\/t**10 assuming t is positive.\nAnswer: t**(-205\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775676039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000024153 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.64284 weeks in hours?\nAnswer: 6827.99712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32599192 by -4.\nAnswer: -8149798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in ninety-one quarters of a kilogram?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.1 - -6. Let v = -140.87 + 136.87. What is the nearest to l in 0.3, v, 2\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16031203 and 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -557*h - 186*h = 122*h - 30275 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-98))\/((-11786)\/(-994) - 14)?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87 + -76. Which is greater: x or -0.7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 2) + -8 - (-1 + -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 + 11*b**2 - 26*b**2 + 15*b**2 + 3*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 47*m**5\/15 - m**4\/8 + m**3\/2 + 3*m**2 + 24*m. Suppose -2*u + 5*u = 6. Is i(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.283 from 2.\nAnswer: -0.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 20 = 5*w - 2*w - 5, 0 = 23*k - 6*k - 4*w - 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22061 and 580374?\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 7*x**2 + 17*x - 2 + 4 + 0 - 11*x + x**3. Determine d(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18153\/266244)\/((-1)\/(-1)*(21\/96)\/(-7)).\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c**3 + 5*c**2 + 86*c + 312. Give p(-4).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z**4\/9 - 2*z**3\/3 + z**2\/3 + 10*z\/9 = 0. Calculate z.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.8, -1\/9, -2\/9, 1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*g**2 + 5*g + 318*g**3 - 139*g**3 + 419*g**3 - 17*g wrt g?\nAnswer: 3588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d - 4 - 2*d + 6. Determine x(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -149, -2682, -9933, -24260, -48021?\n\"Answer: -393*d**3 - d**2 + 221*d + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1660203 + 4930110. Let v = m - 3269907.2700019. Let b = v - -0.27. What is b rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1\/4, 2\/35, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v + 188. Suppose 0 = 25*l - 40*l + 705. What is the highest common factor of l and v?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3240 - 114?\nAnswer: 3122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**6\/120 - 2*q**5\/15 + 11*q**4\/24 - 7*q**3\/3 + 19*q**2. Let j be m(7). Sort j, -4, 5, 3 in decreasing order.\nAnswer: j, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6924 and 52?\nAnswer: 90012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/9, 0.3, 1, 9.25?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b + 140629 = -11355 + 24532. Calculate the remainder when b is divided by 37.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1147 and 155?\nAnswer: 5735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 571.4 - 513. Let g = 65 - a. Let h = 6.668 - g. What is h rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*sqrt(2) + sqrt(2)) - (sqrt(2) - sqrt(4)\/sqrt(2)*4).\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**5\/3 + 991904*m**4\/3 + 2645024*m**3 + 23805056*m**2\/3 + 31739968*m\/3 + 5289984.\nAnswer: 4*(m + 2)**4*(m + 247968)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472 is divided by 60?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -3\/4, -39500?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**3. Let h(w) = 12*w**3 - w**2 - w + 1. Let p(c) = -4*h(c) + 11*v(c). Factor p(j).\nAnswer: -4*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -8. Let x(d) = -177*d - 11. Let w be x(-1). Let r = w - 163. Solve -r*c = -l - 9 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 10*u - 60. Let r be 4*(-5)\/20*-7. Let i be n(r). Solve 0*h - 2*h = i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6}. Give prob of picking 4 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -2*x + 4\/3*x**3 + 7\/2*x**2 + 0. Is u(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-77 + 52 + -12 + (5 - 2))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 3*i - 1. Let x = 23 - 47. Let v(r) = 5*r + 116. Let d be v(x). Calculate f(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 23*y**5\/30 + y**4\/4 - 11*y**3\/6 - 59*y**2. What is the second derivative of d(h) wrt h?\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 1. Let i be p(3). Let z(x) = 2*x - 2. Let q be z(2). Sort -9, q, i in descending order.\nAnswer: q, i, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -10 - (-4 + 0\/(-2)). Let k be (16\/(-24))\/((-5)\/81*u). Which is bigger: 0.04 or k?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + (sqrt(125) - (2 + sqrt(125))) + sqrt(125)))**2 - (-5*sqrt(720) + -1*sqrt(320)).\nAnswer: 125 + 68*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.1993806 to one dp.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380*c - 4*g = -382*c + 976, -966 = -2*c - g. Calculate the highest common divisor of c and 748.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**2. Let v(r) be the second derivative of -r**3\/6 + 5*r. Calculate v(l(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429\/7 - (-16)\/(-56).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 9*d + 12. Let h be (-4)\/10 + (-17)\/(-5). Let k = h - -6. What are the prime factors of c(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 427211926*o**4 + 78396157*o**2?\nAnswer: 10253086224*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -12 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38822, -77648, -116474, -155300?\nAnswer: -194126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*11\/44*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -265 divided by 53?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t + 3. Let b(f) = -2*f. Let h(n) = -2*n. Let g(w) = 3*b(w) - 2*h(w). Determine d(g(k)).\nAnswer: 8*k + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 r when four letters picked without replacement from {b: 2, p: 2, n: 5, r: 4, c: 4}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, s: 4, k: 1, b: 4}. Give prob of sequence sb.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 27\/6)*-24. Let x be m\/8*(-2)\/3. Let o = x + -6. Solve -7*r + 8 = -o*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*d**3 + 25*d**3 - 200*d**3)*(-3 + 2 + 2) to the form i*d**3 + n*d + j*d**2 + t and give i.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/5 + -1)*-5. Is 14 a factor of p*(116\/(-6) - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -19*c + 20*c + 4*p, c + 5*p + 13 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2 = -2*k - 7, -5*k = -4*q - 37. Let v = 13 - q. Solve 2*o = 3*o - 5*n - 18, -2*o - 3*n - v = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4 + 6558*p**3 - 52293*p**2 + 45738*p = 0. What is p?\nAnswer: 0, 1, 7, 2178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 - 7*i + 4. Suppose t - 5*d - 12 = 3*t, 5*d = -20. Calculate b(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.6 in 1, 5, -1.6, 4\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 413509 to the nearest 1000.\nAnswer: 414000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/11 - (41\/(-82))\/((-22)\/212).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 - 3*v**3 - 4*v**3)*(0 + 0 - 1)*(-4 + 5 + 3).\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*b + 4*b + 6*b + 7*b**2 + 8*b as g*b + y*b**2 + s and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 55 and 0.4.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -15. Let c = x - -8. Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 232898 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -5 (c) -1\/4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27789726656 from 0.1.\nAnswer: -27789726655.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**5 + 21*w**4*y**2 - w**4*y - 566*w**2*y**2 wrt w?\nAnswer: -60*w**2 + 504*w*y**2 - 24*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -33. Suppose 2*o - d = 6*o - 33, -r*d = 5*o - 55. Suppose -3*n + 16 = -z, -2*z - 2*n + o*n - 29 = 0. Let u(l) = l + 9. Give u(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 k, and 1 t when four letters picked without replacement from {b: 2, l: 4, t: 2, k: 4, e: 1, y: 1}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16, -26, -14, 26, 100, 214?\n\"Answer: p**3 + 5*p**2 - 32*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189 = -6*y - 57*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 d, and 2 a when four letters picked without replacement from {f: 5, b: 2, a: 2, n: 6, d: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -153, -47, 141, 453, 931, 1617?\n\"Answer: 7*p**3 - p**2 + 60*p - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mttmjjtjmmtm. Give prob of picking 1 t and 2 m.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-30) + 22\/12. Solve -h = d*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6985 is divided by 152.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 1\/40*g**5 + 0*g + 0*g**2 + 0*g**4 + g**3 - 2. Let b(l) be the third derivative of f(l). Let u(c) = c**2. Calculate b(u(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 55676, 61637, 67598, 73559, 79520?\n\"Answer: 5961*u + 49715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**3 - h**2 + 3*h + 1. Let r(u) = 288*u**3 + 5*u**2 - 7155*u - 5. Let b(v) = 5*f(v) + r(v). What is the second derivative of b(p) wrt p?\nAnswer: 1578*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**2 - 5*v**2 + 3*v**2 + 12*v**3 - 4*v - 15*v**3 in the form g + w*v**3 + t*v + p*v**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17\/15 - -9\/5. Which is the nearest to p? (a) 0 (b) -1 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 3:53 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 406 - 290. Suppose 3*c = 4*d + 83, 2*d - 6*d = -4*c + k. Suppose 63*s = 5 + 373. What is the least common multiple of s and c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 93584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a factor of 6619003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 plus 3912?\nAnswer: 3912.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001426 rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v - 10*v - 2*v + (1 - 2 - 3)*(1 - v - 1) to c*v + t and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -100101010110001000100111010?\nAnswer: -100101010110001000100111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 5*f + 886, z = 5*f - 65 + 493. Let n be (-13)\/22*(0 + z). Let s = n + 259. Which is the nearest to 0.1? (a) 0.2 (b) s (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -776, -1609, -2442?\n\"Answer: -833*q + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3*u)**(-16\/11)\/(((u*u*u**(-12)\/u)\/u)\/u*u**6) assuming u is positive.\nAnswer: u**(13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 21*u**2 - 72*u + 1061. Let x(n) = 2*n**2 - 7*n + 106. Calculate 6*d(m) - 62*x(m).\nAnswer: 2*m**2 + 2*m - 206","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 43 = 11. Suppose a*p + 20 = 13*p. Solve -2*l = -6*l - p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 202450\/151839 + 2\/151839. Factor 16\/3 + i*r**2 - 65\/3*r.\nAnswer: (r - 16)*(4*r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2224 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 9*z**2 - 10*z + 15. Calculate g(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -53.3 (b) 3 (c) -0.03976 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 16. Let m be g(-12). Solve m*z + z = 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/6 - -41*16\/1312.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 16*p - 390. What is the remainder when p is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6 - 10 = 0. Let b be (v\/(-3))\/((-18)\/(-81)). What are the prime factors of (-16)\/(-6)*b\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2 + 16*i - 12. Let k be d(-6). Suppose k*u = -12*u + 708. Calculate the remainder when 64 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**5\/10 + o**4\/3 + o**2 - 3*o. Let z(t) = -8*t**3 - 16*t**2 + t - 9. Let v(b) = -9*p(b) - 2*z(b). Factor v(w).\nAnswer: -2*w*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-2 - -4 - 0) - (864 - 844).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + o + 1. Let z be a(2). Let d = 161 + -112. What is the greatest common factor of z and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -1.13 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -31*o**7\/210 + 3*o**4\/4 - 7*o**3\/6 + 2*o**2 - o. What is the second derivative of s(m) wrt m?\nAnswer: -372*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*v**2 - 47*v**2 - 2 + 2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 289325504, 289325510, 289325504, 289325480, 289325432, 289325354?\nAnswer: 289325240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (376\/(-30))\/((-9262)\/1263*(-6)\/33)?\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - (sqrt(180) + 0)) + 4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17510?\nAnswer: 2, 5, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -37*0.000569\nAnswer: -0.021053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 + 117714*h + 1154715483.\nAnswer: 3*(h + 19619)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2089605 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 x when four letters picked without replacement from {t: 2, v: 4, x: 3}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -120916.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/3 (b) 1 (c) -1723\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(200) - sqrt(200) - sqrt(200)) + -2 + (1 + sqrt(242))*-5.\nAnswer: -65*sqrt(2) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*q**2 + 0*q - 57*q**2 + 0*q + 114*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -1*1\/1. Let x be (-5 - (-1 + -5))\/(20\/2). Which is greater: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179 less than 1179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/18 in 0.02, -2\/9, -4\/5, 1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48442 - 30943. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + f**2 - f**3 + (3 - 3 + 1)*(-3*f**3 + 2*f**3 + 3*f**3) + 154*f**2 + 15*f**3 - 154*f**2.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 8:09 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o\/o**(3\/5))\/(o\/(o\/o**(2\/63))))\/((o\/(o*o*o**(-1\/44)))\/(o\/(o\/(o\/(o**(-4\/21)\/o))*o))) assuming o is positive.\nAnswer: o**(76729\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 447*t + 65308.\nAnswer: -(t - 563)*(t + 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 13195884813556?\nAnswer: -13195884813555.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31850\/(-260)*(-72)\/225*5\/4.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.29 + -11.29. Let o = 6 + n. Let k = 70.2 - 71.2. What is the third biggest value in o, -0.1, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 442528*m**3 + 40064*m wrt m?\nAnswer: 2655168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 820883 and 117269?\nAnswer: 820883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 4:35 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**3 - 75276*o**2 + 2779880*o - 2704608 = 0. What is o?\nAnswer: 1, 36, 18782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -111000011111000000 (base 2) to base 9\nAnswer: -382326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -98369 greater than or equal to -98369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 8*d + 1. Let u = 10 - 9. Calculate y(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 - 29. Let y = 12 + -7. Let z(o) = -o**2 + 5*o + 11. What is the remainder when k is divided by z(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 41694.7 centuries?\nAnswer: 416947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*a + 63 = 231. Let o(v) = v**2 + 36*v - 161. Let w be o(a). Does w = -2\/453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 9*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6489966 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 1006 = 11*s - 4*p, -4024 = -4*s + 4*p. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2 = -1. Let o be ((-4)\/(8\/6))\/c. Solve -20 = 2*g + o*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, 4, 8, -1\/4, 0.097, -0.3, 4.68?\nAnswer: 0.097","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - (2 + sqrt(245)*-2))**2 + sqrt(245).\nAnswer: -77*sqrt(5) + 2209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z**2 - 4*z. Suppose 0*d + 2*d = 4. Let a(j) = -36 + j**d + 36. Let h(s) = -2*a(s) + c(s). What is the second derivative of h(q) wrt q?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 6*f**3 - 6*f**2 + 14*f - 4. Let w(s) = -3*s**3 - s + 2*s**3 + 18 - 5*s**2 + 6*s**2 - 17 + 0*s**2. Give r(l) + 4*w(l).\nAnswer: 2*l**3 - 2*l**2 + 10*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 1. Let z be (6\/14)\/((-2)\/j). Which is the third smallest value? (a) 1\/3 (b) 0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 3. Suppose 5*z = 7*z - 4. Suppose 3*j = -3*g + 6, -z*g = -5*g + 5*j - 10. Let y be 1*(g + -2 + -2). Give i(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 270*y + 75*y**4 - 42*y**4 - 42*y - 7*y**3 - 32*y**4 wrt y?\nAnswer: 12*y**2 - 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -26 + 0*t - 76\/3*t**3 + 105\/2*t**2. What is the second derivative of f(k) wrt k?\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79*b**3*r**2 + 2*b**3*r + 8*b**2*r**2 - 3*b*r**2 + 3*b wrt b.\nAnswer: 474*r**2 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136748108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 74 or -1?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 - 2184*r + 2188.\nAnswer: -4*(r - 1)*(r + 547)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 2791?\nAnswer: -2\/2791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 - 7*w**3 - 2*w**3 + 8*w**3 + (3*w**2 - 2*w**2 + 0*w**2)*(0*w + 0*w - 2*w).\nAnswer: -3*w**3 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -999 less than 9725121.19?\nAnswer: 9726120.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2*j = 12, -4*j - 125 + 141 = -2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 - 134. Let n = p - -62. Let k = n - -28.2. Which is the third smallest value? (a) -1 (b) k (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**2 - 71*y\/2 - 35\/2 = 0. Calculate y.\nAnswer: -35, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*v**2 + 60*v**2 - 524*v**2 + 102*v**2.\nAnswer: -548*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 56261561 (base 7) to base 15\nAnswer: 663975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - h = 13 + 2, -5*z - 5*h = -50. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q**4 + 992*q**3 + 26*q**2 + 25091572 wrt q.\nAnswer: 8*q**3 + 2976*q**2 + 52*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u + 4*k + 278 - 139 = -k + 146, 0 = 5*k + 2*k - 2*k + 15 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i + 4. Let m(a) = 8*a + 11. Let z(t) = 2*m(t) - 7*n(t). Let c be z(-8). Suppose 5*g + 2*o = g + c, 0 = -o + 5. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28690943 is divided by 4098700.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -67*o - 11. Is m(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 417 or 416?\nAnswer: 417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76 + 76.2. Which is the biggest value? (a) 13 (b) 4\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 5*l**2 + 51*l + 13. Let n be v(-10). Suppose 5*s = -28*q + 29*q - 121, 4*s - 268 = -n*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9394\/2013)\/(28\/150)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/48730 and 24\/24365.\nAnswer: 48730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 552 a factor of 9581064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.64 - 2.64. Let g = -121 - -121. What is the closest to t in 4, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 3*z - 18 = 0, -5 + 21 = 2*a + 5*z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 4085*m**2 + 1 - 4020*m**2 to f*m + b + i*m**2 and give i.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35.1 - 34.9. Let m = 4 - 3. Which is the closest to m? (a) g (b) -2\/11 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -5*d**4\/12 + d. Let c(x) be the second derivative of 41*x + 2\/3*x**3 + 0*x**2 + 0. Determine c(w(s)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -453\/10 - -847\/15. Find the common denominator of 4026\/(-252) + 3\/21 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and -2.4.\nAnswer: -38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 340*z - 10*z + 219*z - 51*z + 18*z to x*z + h and give x.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/3 + -3 + -2 + -1. What is the smallest value in -1\/10, 0.4, d?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5b - 72?\nAnswer: -cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 m when two letters picked without replacement from kmv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 827919197?\nAnswer: 7, 9431, 12541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 1330.\nAnswer: 43890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 113 and 1213.\nAnswer: 137069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 5:16 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 97147 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13416513, -0.4, 0.5.\nAnswer: -13416513, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1, 34, 129, 314, 619?\n\"Answer: 5*y**3 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -26 + 17. Sort t, 5, 0, -28.\nAnswer: -28, t, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 3*m + 525, 17 + 3 = -4*m. Let n be (0 - (2 - 2)) + 72. What is the highest common divisor of n and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2*t - 24 + 12, 0 = -4*i + 2*t - 24. What is the remainder when (-3)\/(-4)*(1 + 43) is divided by (i - 0) + 7 + 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1130, 2236, 3330, 4406, 5458, 6480, 7466?\n\"Answer: -w**3 + 1113*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -14 (c) 2\/5 (d) 1.3 (e) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -4, -1022, -3, -50 in increasing order.\nAnswer: -1022, -50, -6, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 - 23968*k - 71808128.\nAnswer: -2*(k + 5992)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {j: 1, w: 4, c: 3, z: 10}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4*l - 4, -5*i - 3*l + 21 = -2. Let y = -4 + i. Calculate the remainder when 27 is divided by -1*(2 + y) + 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 124 = -2*t, -10*t + 7*t = -2*v + 208. Which is smaller: t or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9435 (base 10) to base 7\nAnswer: -36336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/4 (b) 1 (c) 53877\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**5 + 66*c**4 + 558*c**3 + 2220*c**2 + 3975*c + 2250 = 0.\nAnswer: -6, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 s when three letters picked without replacement from {s: 5, i: 13}.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64885 - 9797593\/151. Let p = v + 2145\/6946. Let b = 633\/1196 - p. What is the second smallest value in 1\/3, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1546 + 2221. Calculate the highest common factor of q and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6*l + 40 = 4*c, 15 = c - 2*l. Let o(b) = 64*b + 3831. Let f be o(-60). Put -2, c, -5, f in increasing order.\nAnswer: f, -5, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 + 3*a**2 - 17*a + 16*a)*(2*a**2 - 6*a**2 + a**2).\nAnswer: -18*a**4 + 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 851428 and 969?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 14490607509\nAnswer: 14490607509.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 7*y - 25. Is f(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/128094 and -11\/24234?\nAnswer: 896658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 a when four letters picked without replacement from {s: 2, v: 7, a: 7}.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -0.4 (c) 3 (d) -119 (e) 411\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -22*v**5 - 126*v**4 + 3402*v**3 - 13106*v**2 + 12300*v - 2448 = 0.\nAnswer: -17, 3\/11, 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**4\/9 + 3107264*r**3\/9 - 178797034240*r**2 + 277777641886412800*r\/9 + 2222324123773952000\/9 = 0.\nAnswer: -8, 517880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, k: 4, j: 3, h: 3}. What is prob of sequence jhz?\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(63) + 3)*-6 + (3*(-4 + sqrt(700)*3))**2.\nAnswer: -2178*sqrt(7) + 56831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 600 (base 7) to base 6.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 7*n**2 + 3059*n - 18393. Determine m(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3395*l**3*s**2 + l**3*s*w**2 + l**2*s**2 + 2*l*s**2*w**2 + 11*l*s*w + 8*l*w**2 - 3*s*w**2 wrt l?\nAnswer: -20370*s**2 + 6*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3086574? (a) -5 (b) 2\/5 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*g + 34. Let u be 2\/g + (-7)\/(-4). List the prime factors of 10 + 2\/u + -1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = -6*d + 22880. Let g be (33660\/272)\/(6\/d). What is g rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -31675423 and 1.\nAnswer: -31675422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -153072\/43 > -3559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -232 - 8*y**2 + 232 to the form b*y**2 + r + o*y and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 13*t**2 + 14*t + 13. What is y(14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*z)*(2 + 2 - 3) + 5 + 52*z - 5 to h + b*z and give b.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6\/215 + -233\/645. Let r = 66 - 329\/5. Which is the biggest value? (a) q (b) -5 (c) -9\/5 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*v**4 - 1672*b*v**3 - 102025*b with respect to v.\nAnswer: -4*b*v**3 - 5016*b*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4173199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 6*s + 2. Let c be g(-6). Suppose -144 = c*h - 5*h. Suppose 4*i - 268 - h = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 3 + -15 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*z**2 + 7*z**2 - 7*z**2 - 2*z**3)*((-11 + 3 - 8)*(4*z - 5*z - 3*z) + 0 - z + 0)*(-3*z + z + 6*z).\nAnswer: -504*z**5 + 2016*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -3. Solve -1 = -x*o + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 83*m**2 - 299*m - 4734. Calculate o(-80).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 87\nAnswer: -5\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22*((-4185)\/62)\/45.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7)\/l**1)\/(l*l**(1\/4))**(-2\/41) assuming l is positive.\nAnswer: l**(-703\/574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-78)\/(-21) + (-4)\/(-14). Suppose -3*n + 9 = 2*k, d*k - n = -0*k + 53. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 12:12 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19860 = 13*f - 25*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/6*6*1. Let g = m - 2. Suppose 0 = c - 2*c + 11. Calculate the lowest common multiple of c and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*14.77\nAnswer: 4.431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -9. Suppose 0 = -y*s + 5*d + 25, -2*s = 6*d - 3*d - 25. Suppose 98 = s*z + 10. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 819563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 51479*g**4 - 51529*g**4 - 2 + (3 - 2*g**3 - 3)*(2 - 2 - 3*g).\nAnswer: -44*g**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkp when three letters picked without replacement from {p: 2, k: 11}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 9 = q + 2*p, 0 = -4*q + 3*p + 39. Let x be 0*(q\/(-4))\/3. Suppose b = -2 + 3. Solve 2*i - 3*v + 0 - b = x, -5*v + 5 = -5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 12 = -3*l. Suppose -l*k = k. Solve 20 = 5*j - k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.472943 litres?\nAnswer: 1472.943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 26 + 2*k - 59 + 30. Let b(n) = -4*n + 6. Give 4*b(c) + 7*m(c).\nAnswer: -2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 plus 252387800?\nAnswer: 252387799.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -322*d**3*v + d**3 - d**2*v + 2167*v with respect to d.\nAnswer: -966*d**2*v + 3*d**2 - 2*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 1. Suppose r = 3*u - 7*u - 6, 2*u - 3*r = 4. Let f(k) = -15*k + 1. Let z be f(u). Suppose -5*m = -p + 2 - 1, 4*m - 5*p = z. Give s(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*n = -154*n - 51 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1336*q + 3108*q + 74424 for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -113 + 275813.\nAnswer: 275700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4402 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55*3.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t = 4*t - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*z - 3*w - 2*w, -w = -3*z + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3\/3 + 62*m**2\/3 + 106*m + 150 = 0 for m.\nAnswer: -25, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1 = 4*c - 7, -4 = -2*c + 2*q. Let s be 3890\/65 - c\/(-13). Calculate the greatest common factor of s and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 15 = -4*a, 4*a - 18 = -446*w + 444*w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33688898 + 33695788.00025. Let a = m + -6892. Let s = a + 2. What is s rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 3:19 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 1226*b**3 + 2048385*b - 3696*b**2 + 2048378*b + 2*b**4 - 4096755*b + 4928 = 0.\nAnswer: -616, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o = -24*o - 60. Solve -2 = -9*g + o*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in -4, -1, 2\/3, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -18*u**3 - 2*u**2 + u + 1. Give g(2).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2026280 divided by -283.\nAnswer: -7160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20319053?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 36 = 5*h + 4*g, 5*h + 28 = -2*g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3) - (sqrt(48))**2) + (5*sqrt(48))**2.\nAnswer: 5*sqrt(3) + 960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5539\/1528 - 9\/(-24). Solve r + 5*u = k*r + 16, 2*r - 4*u + 12 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267979.\nAnswer: 89, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8549 = 2067*y - 20389 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 o, and 1 x when three letters picked without replacement from {o: 4, n: 7, q: 4, x: 3}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2112, 4224, 6336, 8448?\nAnswer: 10560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 13399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 20\/17?\nAnswer: 20\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101111101011 (base 2) in base 7?\nAnswer: -44531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*c - 183*c + 26975 = 63*c + 22*c for c.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-1))\/((-3)\/(-63)). Let h = k + -13. Calculate the lowest common multiple of h and (-4)\/(-3)*1*15.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33443647 to the nearest integer?\nAnswer: 5783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 0.3 (c) 59 (d) 3 (e) 4 (f) -165\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*u + 4*u - 3*u)*(9 - 2 - 1)*(-6*u**2 - 8*u + 8*u) + (2*u + 2*u - 2*u)*(u - u - 2*u**2) as w*u + d*u**2 + c*u**3 + z and give c.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = -3*g + 43. Let w be (g\/15 + 3)*5. Suppose -o + 35 = w*o. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.24, 12, 8\/5, 17, -3?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -376.08 - -367. Let r = 10 + f. Let v = r + -0.9199963. What is v rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 32. Let l be 10\/12 + (-3)\/(-18). What is the closest to l in -1\/3, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a3b12 + -5?\nAnswer: 2a3b0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1349 + -868. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5135 is divided by 323?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62 + -62. Suppose k = -5*b + 7 + 68. Find the third derivative of 4*n**2 + b*n**5 - 3*n**2 + 0*n**2 + 9*n**2 wrt n.\nAnswer: 900*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 26*x**2 + 26*x - 25. Let z be g(25). Suppose -2*p + 0*p + 2*w + 30 = z, 4*w = 5*p - 80. Calculate the remainder when 37 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n**3 + n**2 + n + 1. Let j(s) = 7*s - 7. Let z(d) = -13*d + 14. Let i(v) = -11*j(v) - 6*z(v). Let m be i(6). Determine q(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42*8\/396 - (-314)\/(-1727).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 52.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.4311367 months to decades.\nAnswer: 0.0202594725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26361 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 - 3*k + 3. Let n be r(1). Find the common denominator of 45955\/(-3900) + n + 64\/(-30) and 139\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 666707?\nAnswer: 666707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51926262 minus -1.87?\nAnswer: 51926263.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 227, 247, 269, 293?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 38 + 19 - 2*d**2 + 13*d in the form m*d**2 + o*d + k and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4+-4799923.09\nAnswer: -4799927.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -23*l. Let y(i) = 875*i. Let v(t) = 2*t - 14. Let q be v(6). Let c(b) = q*y(b) - 77*o(b). Let d(u) = -u. Calculate d(c(m)).\nAnswer: -21*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 923, 1296, 1611, 1838, 1947, 1908?\nAnswer: 1691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -74 - -53 - -29.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**3 + 2*w**2 - w**2 - 12*w**2)*(50 - 205 - 81) in the form r + t*w**2 + j*w + m*w**3 and give m.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93 + 233. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 2 - 2 + 0*q + 2*q**2 + 0*q + (0 + 1 - 2)*(4 - 4 + q**2))*(q + q + 0*q) + (2*q**2 + 3 - 3)*(q + q + 0*q).\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*d**2*q**4 + d**2 + 95*d - 21*q wrt q.\nAnswer: -44*d**2*q**3 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - 1 - 63\/18. Let q = -0.5 - -0.8. Let a be 4 - -26*(-5)\/30. What is the nearest to g in q, 2\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/17)\/k**(-3\/5))\/(k**(-2)\/k**7))**(-1\/4) assuming k is positive.\nAnswer: k**(-413\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 2*r - 8, -10584*o + 10587*o - r = -4 - 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**0\/i*i)**(18\/7)\/(i*i*i**5*i*i*i*i*i*i**(-1\/9)) assuming i is positive.\nAnswer: i**(-425\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Suppose 6 = -3*h, 4*p + 3*h + 2 = -b*p. Let g be -2 - (2 - 3 - 10). Calculate the greatest common divisor of p and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(-3)*a*a*a*a**5)**(-16)\/(((a**(-1)\/a)\/(((((a\/(a**(-1\/3)*a))\/a)\/a)\/a)\/a))\/(a**(-1\/3)*a**(-1)*a)) assuming a is positive.\nAnswer: a**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 563 - 100. Let q = -462 + b. Let n(i) = -6*i**3 - i**2 + i + 1. Determine n(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2 + (-26)\/(-4). Let c = x + -9. Let f be 0 + 1 + -3 - c. Solve f = -5*s - 26 + 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -88\/37 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 3*x + x)*(4*x**3 + x**3 - x**3) + (2*x**2 + 2*x**2 - 2*x**2)*(0 + 2*x**2 + 0) + 4*x**4 - 4*x**4 - 2*x**4 + (-3 - 2*x**2 + 3)*(3 + 28*x**2 - 3).\nAnswer: -70*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(324\/16))\/((-456)\/1080*5)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 v, and 1 t when three letters picked without replacement from {c: 3, t: 1, f: 9, v: 6}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 47452596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 equal to 11912\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -187371 - 4227?\nAnswer: -191598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -253 by -23.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -4, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 3*c + 13 - 40, 0 = 5*c + p - 23 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122*s - 974 + 974 to w + f*s and give f.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence weew when four letters picked without replacement from {e: 6, w: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l - 7014 + 3565 + 3535 to f*l + p and give p.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9750000 rounded to the nearest one hundred thousand?\nAnswer: 9800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 5*s**2 - 3*s + 2. Let o be w(4). Suppose 1849 + 3863 = 7*y. Is 29 a factor of o\/(-21) - y\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-18)\/(j*j**(-31)\/j)*(j*j**(2\/55)*j)**(-1\/30) assuming j is positive.\nAnswer: j**(10669\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 2. Suppose -5*w - 33 = -43. Suppose w*f + 4 - 32 = 0. Calculate the lowest common multiple of u and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 10*j + 10. Let p be v(-8). Suppose -3*t - 5*g = -p, 0*t + 3*t - 4*g = 109. Let w = 183 - t. Does 28 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Suppose -27379 + 273634 = 5*u + 4*w, 4*w = -20. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 131333100?\nAnswer: -131333111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a = 89 + 91. Calculate the lowest common multiple of a and 125.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + d - 1. Suppose 3*h - h - 10 = 0. Let m(j) = -8*j**2 + 7*j - 6. Let i(a) = h*l(a) - m(a). What is i(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3024 by -1008.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 53171 = 3*x, -4*x - 2*t - 45850 = 25054. Let z be (-12)\/((-144)\/60) - x\/1. Round z to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207 + -54 - (-216 - -486).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**3\/3 - 8*b**2 + 39*b + 140\/3 = 0 for b.\nAnswer: -28, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 6*((1*sqrt(304) + sqrt(304) + sqrt(304))*-5 + -2*(sqrt(304) + 1) + sqrt(304) - 2*(((0 + sqrt(304) - sqrt(304))*-1 - sqrt(304)) + sqrt(304))))**2.\nAnswer: 13056*sqrt(19) + 2801953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 3675 = 4*v. Suppose 0 = -2*z - z + 3*t + v, 190 = z - 4*t. Suppose z = 5*p + 160. Solve -p*f + 4 = -6 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138362083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -7 - (-5 + 17) - 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 695 + -245. Is f a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - j - 524 = -x, j - 3*x - 92 = 0. Calculate the smallest common multiple of j and 13.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7, -18, -33, -52, -75?\n\"Answer: -2*w**2 - 5*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 2:58 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5823 divided by 318.\nAnswer: 1941\/106","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1 + sqrt(448))*-3)**2 + -2*((sqrt(112)\/sqrt(4) + sqrt(28))*3)**2.\nAnswer: -288*sqrt(7) + 2052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 10*v**2 + 6*v - 10. Let o be l(10). Suppose -g - d + o = -9, -3*g + 177 = 5*d. What are the prime factors of g?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3 - 5 - 2*b + 10 - 1. Let g be r(0). Which is bigger: -5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*z + 3*z = -9, -4*o - 5*z = 13. Let c(x) = -12*x - x**o + 13*x - 12 - 10 - 11*x**2 + 15. Give c(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(-2)*u)\/u)**(-28)\/(u**(-3)\/u*u*u\/((u*u\/(((u\/u**(-7))\/u)\/u))\/u)) assuming u is positive.\nAnswer: u**(-115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -446*g - 4 - 438*g - 117*g + 2.\nAnswer: -1001*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, j: 2, s: 4, q: 3, b: 2}. What is prob of sequence jjbi?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k**2 - 17*k**2 - 135*k**2 - 2*k.\nAnswer: -141*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -108 in -19\/60, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttttt. Give prob of sequence tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 302 - 290. Let s be (-6 - (-100)\/15)*w. Let j(z) = z**2 - 8*z - 3. Give j(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 5:48 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**3 + 3*d**2 + 3*d + 6. Let o(l) = 7*l**3 - 6*l**2 - 6*l - 15. Determine 5*g(u) + 2*o(u).\nAnswer: -u**3 + 3*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 12*m - 22. Does 22 divide h(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 24*w = -26*w - 6, 25*c + 30 = 4*w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 273876 by -4.\nAnswer: -68469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 12*d - 12. Let l be a(-5). Suppose 2*k - k = l. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n - 1 + 1)*(361 - 161 - 38) + (3 - 5 + 4)*(-1 + 1 - n) - 4 + 4 - n + (0 - 4 + 1)*(-1 - 4 + 1)*(-4 + 3*n + 4) as o*n + b and give o.\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51398b + 2?\nAnswer: 513991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -652*w - 54117. Give u(-83).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 127*p**2 - 7*p + 31. Let k = -151 - -157. Is u(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 48 = 12*f, 2*d + 5*f = -5 - 8 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -2 + -13 + 12 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*r - 350 - 3, -b + 5*r + 95 = 0. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59\/3 + -19. Suppose 2*p + 4*x = 118, -3*p + p + 109 = -5*x. Let a = p - 401\/7. What is the second smallest value in d, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u*u**8*u)\/u*u)\/u)\/u*u)**(-23\/2)*(((u*u\/u**(-1\/7))\/u)\/u)\/(u\/u**(2\/9)) assuming u is positive.\nAnswer: u**(-7285\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/2793883 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 2 = 3*f, 2*k = 10*f + 3865 - 3813 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(8\/7))**(-4\/5) assuming y is positive.\nAnswer: y**(-32\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*b**3*n**2*s**3 + 25*b**3*n**2*s**2 + b**2*s + 16*n**2*s**2 + 3*n*s**3 wrt b.\nAnswer: 36*n**2*s**3 + 150*n**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 3536?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 97.\nAnswer: 3\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.94 - -37.06. Let x = m - 38.000041. Round x to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) 0.1 (c) 0.06 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(7\/2)\/y))**(-21)*(y*y\/(((y\/y**29)\/y*y)\/y)*y)\/((y\/y**(-38))\/y) assuming y is positive.\nAnswer: y**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s. Suppose l - 2*d + 28 = 0, -33 = 2*l + 5*d - 13. Let j(w) = 1. Let u(h) = -3*h - 4. Let q(c) = l*j(c) - 5*u(c). Determine q(i(n)).\nAnswer: -30*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2040 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9315077 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 31 - 13339224?\nAnswer: -13339193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 50 = -5*k, 0 = -4*o + 2*k + 53 - 57 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -447146, -894289, -1341434, -1788581, -2235730, -2682881?\nAnswer: -3130034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/61 or 140693?\nAnswer: 140693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24770 divided by 24770.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 508966060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 38 + -9 + 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 116 + -117.02. Let z = y - -0.02. Which is the nearest to z? (a) -1\/6 (b) -0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.4, -0.004, -1\/2, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2)\/(-6) - (-300)\/450.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832)*-3*1 - sqrt(832) - (sqrt(832) + 0 + sqrt(832)*2))*6*-6)**2 + 1.\nAnswer: 52835329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-288)*8)\/(176\/(-64))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(-1 - 7\/3). Let z = -7 - i. What is the remainder when z is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94 - -134. Let k be 16\/q - (-4)\/(-10). Let u = -0.3 + 0.8. What is the third smallest value in u, k, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760891 divided by -4?\nAnswer: -760891\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 0.1, -6, 5, -15\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by 1598\nAnswer: 27\/1598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -117422, -234849, -352276, -469703?\n\"Answer: -117427*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 11 - 19 = -f, -8*f + 4*f = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-102)\/9*-1*9\/6. Find the second derivative of -51*d**3 - l*d + 25*d**3 + 14*d**3 wrt d.\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*j**2 - 6831*j + 1950.\nAnswer: 3*(j - 325)*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 4) + 123 + -2. Let j = l + -79. Suppose d - 34 = -5*w, -2*d + 101 = 3*w + 89. What is the greatest common factor of w and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 0*r**3 - 1\/60*r**5 + 0*r - 1\/30*r**7 + 0*r**4 + 0 - 3*r**2 + 0*r**6. What is the third derivative of a(b) wrt b?\nAnswer: -168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 8:24 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 663 and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 1. Let u(v) = 9*v - 6. Let y be ((-76)\/(-8) - 2)\/((-3)\/(-2)). Calculate y*l(s) + u(s).\nAnswer: 9*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 134499, 268984, 403469?\n\"Answer: 134485*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -28 + 240. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3\/8, 670.07, 0.3, 5 in decreasing order.\nAnswer: 670.07, 5, 0.3, 0.1, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 5*h**2 - 13*h + 2. Let s be k(-7). Let b(i) = 8*i**2 - 7. Let f(v) = 9*v**2 - 8. Calculate s*f(n) + 6*b(n).\nAnswer: 3*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from {m: 1, i: 1, q: 1, v: 1, p: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 831.8584 millimeters in nanometers?\nAnswer: 831858400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**2 + 144*a + 653. Let f be (65\/(-15))\/(2\/(-24)). Let j = 8 + f. Calculate the lowest common multiple of j and l(-5).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398453*n**3 - 199286*n**3 - 199169*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*69\/6*(-4)\/(-8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18 - -2)\/(0 - 2). Suppose g - 98 = -5*u. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 + 29. Let z = 14 + i. Let f(m) = -4 + z*m - m + 0 + 3*m. Give f(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.2 + 17. Put x, 1\/2, -4 in ascending order.\nAnswer: -4, x, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (375 - 623 + 3771 + 2*j + 1527)*(3*j**3 + 0*j + 0*j).\nAnswer: 6*j**4 + 15150*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3641 + 4004. Calculate the highest common divisor of r and 198.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*o + 4 = -2*o, f - 4 = 2*o. Suppose -4*j - 2*k = -6, 0 = -0*j + f*j - 3*k + 9. Suppose 4*c + 3*s + 5 = 0, c = -j*c - s - 1. Sort 2, c, -3.\nAnswer: -3, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 + 3*k**2 + k + 13. Let p(v) = -v**3 + 2*v**2 + 6. Let q(n) = 3*g(n) - 7*p(n). Calculate q(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - -41. Let x = p - 65.1. Which is the third smallest value? (a) 15 (b) -5 (c) x (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46583239 - -46583239.31399873. Let j = 0.314 - t. What is j rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -7 (b) 9\/20 (c) -1213\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*q - 66*q + q**2 - 2*q**2 + 35*q to c + r*q**2 + w*q and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-7)))**(-48)*(p**(2\/9)*p)**(-12\/11) assuming p is positive.\nAnswer: p**(-1012\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 112 - 7\/3*n**3 + 0*n**2 + 0*n. Let k(m) = -19*m**2. Give f(k(q)).\nAnswer: -2527*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1153 - -1151. Sort m, -20, 1 in ascending order.\nAnswer: -20, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 16*y - 2. Let i be r(1). Solve -a = -k - 3*k - 7, -3*k = a + i for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 g when three letters picked without replacement from {r: 1, h: 6, g: 6, f: 4}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -187806*q**2*w + 72*q*w + 44*w - 10 wrt q.\nAnswer: -375612*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 6*t - 6. Suppose -6 + 2 = 2*z. Let i = -6 - z. Let q be a(i). Solve -3*n - q*o + 14 = 0, 2*n + n - 4*o - 8 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 194807 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - -1) + -15 + -59 + 56?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (24\/(-20) + 1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wezc when four letters picked without replacement from zwccze?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*w + 4*z, 4*w + 24 = w - 3*z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*z - 21 = 8, -2*f - 5*z = -5. Suppose 3*k - 4 = -13, 0 = -3*w - f*k - 9. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 51. Let o be 3\/m*(-32)\/(-48). Sort 2\/7, 0.2, o.\nAnswer: o, 0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.4, 0.129, 8 in descending order.\nAnswer: 8, 0.5, 0.129, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 + 187. Let i(k) = -11*k - 16. Let y be i(6). Let w = y + m. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54.88333 - -0.11667. Sort -19, 2\/9, v, 2, 0 in descending order.\nAnswer: v, 2, 2\/9, 0, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653529221?\nAnswer: 653529221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 2*b**2 - 46*b + 367. Determine u(8).\nAnswer: 639","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -1.3, -3, 18, -2\/7?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from skdmwnd. What is prob of sequence dndk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 9 = 2*v. Suppose 28 = v*r - 155. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2 - 8*f - 20 - 6*f - 9 + 2. Let r(k) = 3*k**2 + 13*k + 28. Let g(w) = -4*o(w) - 3*r(w). Does 24 divide g(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 514771 and 1698544.\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 4*s + 18 = -s, -3*r - 3*s - 12 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1599311499?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1644469 is divided by 109621?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 - 7. Suppose -3*k - z = -13 - 28, 3*k - 2*z - v = 0. Suppose k + 70 = 4*p. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -25*z**2. Let o(k) = -8*k**2 - 2. What is a(o(c))?\nAnswer: -1600*c**4 - 800*c**2 - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -231\nAnswer: -2\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139\/36 + 15\/4. Suppose -5*z = -16 + 11. What is the third smallest value in 5, z, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -87 and 566916.\nAnswer: -49321692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + -32 + 28 + -16 + (-1 - -2 - 7)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-45)\/(-12) - (-2)\/8. Let r(c) = c - 16. Let s be r(16). Suppose -d*m + 48 + 88 = s. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -7686525.\nAnswer: -7686524.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + c**2. Let d be y(0). Let t = 2626 + -2629. What is the third biggest value in t, 3, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1877, -2726, -3565, -4388, -5189?\n\"Answer: t**3 - t**2 - 853*t - 1024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 10110100011100011000110?\nAnswer: -10110100011100011001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -20719519378?\nAnswer: 20719519377.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 913, 908, 889, 850, 785, 688?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 28. Calculate the highest common divisor of h and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66733834 to the nearest integer?\nAnswer: 8169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + j**2 - j. Let c(z) be the second derivative of z**5\/10 - z**3\/6 - 9*z. Suppose 2*s + 0*s = -2. Determine s*c(q) + t(q).\nAnswer: -q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a centimeter in millimeters?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*k - k**2)*(3 - 3*k - 3).\nAnswer: 3*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k. Let q(p) = 7*p - 2. Calculate y(q(h)).\nAnswer: 14*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l + 11*l**2 - 2*l + l**3 + 9*l**2 - 3 - 15*l**2. Suppose 3*k - 4*t + 20 = 0, 3*t - 26 = 5*k - 0*t. Give i(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 - 65*v + 75. Give c(-34).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*i + 8, -4*i - 4*n + 8*n + 28 = 0. Suppose p + i*s = 222 + 22, 0 = -3*p - s + 700. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 12*x**2 + 33*x - 8. Suppose a - 4 + 15 = 2*j, 52 = 4*j + 4*a. Calculate o(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189809010 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*w - 624008 = 0, 30*m - 33*m - 2*w = -468008. Round m to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-4 + sqrt(612))*4 - (-2 + 4*sqrt(612)))*-3 + 4 + -4.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a - 18*a = 10*a - 1428. Calculate the remainder when 3778 is divided by a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 130 - 78. What is the smallest common multiple of 12 and m?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 68*b**2 + 78*b - 632. Give f(69).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21201220011 (base 3) to base 8.\nAnswer: 451334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 0\/1)\/((-1)\/(-12)). Let i = -31 + t. Solve -i*d + 3 + 12 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -108, 0.159, -5?\nAnswer: 0.159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-834)\/1807)\/(2\/13)*29\/3?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 divided by 79?\nAnswer: 111\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/228 and -127\/420.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 110 - 174. Which is the fourth biggest value? (a) 2 (b) 1\/5 (c) t (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**12*c**(-7))\/(c**(-1))**(-8\/21) assuming c is positive.\nAnswer: c**(-386\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.019 - -0.019. What is the third biggest value in -3, j, -4, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) -407 (c) -1 (d) 0 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 41. Suppose -409 = -31*j + k*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**3\/7 + 9*r**2 + 117*r\/7 + 57\/7 = 0.\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10752 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: Round -0.060614524 to 3 decimal places.\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - 9 = -0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16432108 by -37862.\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 76254512 < 76254511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -16. Let v = 638 + -7016\/11. Suppose 0 = -5*u - t + 26, 4 = 5*t - 1. Which is the nearest to d? (a) v (b) u (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 + 8*j + 4*j + 74)*(5 + 10*j - 5).\nAnswer: 120*j**2 + 260*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31633.91 litres?\nAnswer: 31633910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 12*w = 9*w - 18, -12*v = 5*w + 65 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 1:22 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -0.787?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/(-15) - 4\/(-2))*-1. Which is the nearest to q? (a) 3 (b) -1 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3000 and 210912.\nAnswer: 26364000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(2\/11)\/s*s\/((s**(2\/31)*s)\/s*s)*s)**(-47))**(-20))**(-17) assuming s is positive.\nAnswer: s**(-639200\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*r - 2*r = -1812, -4*z + r + 2416 = 0. Suppose 2*n - 592 = -4*q + 3*n, -2*n + z = 4*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -9*i**2 + 2*i - 1. Let n be r(2). Let l = 54 + n. What is the remainder when l is divided by (-69)\/(-6) + 1\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 1825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8681 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1314 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*x + 762 = 4*o, 0 = 4*x + 8. Let m be (-3 - -6)\/((-12)\/(-24)). Suppose -m*w = -0*w - o. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 5383?\nAnswer: 3229.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 11*u**2 + 2. Let s be w(1). Suppose 0 = -5*k + 3*t + 9, 4*k - 5*t - 2 - s = 0. Suppose -5*h + 65 = -k*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 18*x - 17*x + 7*x. Let w(j) = -j**3 + j**2 - j + 1. What is w(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -22 (b) 27 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -4. Suppose 0 = s*i + 2*i - t - 122, -i + 24 = 3*t. Suppose -4*y + 54 = -2*h, -48 = -6*y + y - 4*h. What is the highest common factor of i and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6383237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 5*k**2 - 6*k + 3. Let r be c(6). Differentiate -3 + 6 + 15 + 0*j**3 - j**r with respect to j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v**3 - 2*v + 1. Let u be h(1). Let z be 0 - (0 + -1)*u. Solve -z = -3*y + 4*m, 0*m + 2 = y + 3*m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 28368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25069952 divided by -195859.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -22*l**2 - 231*l + 21. Determine g(-12).\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2091324102 to the nearest integer?\nAnswer: 1279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -6*r. Suppose 4 + r = -o. Let i(k) = -6*k**2 - 4*k. Let b(f) = 13*f**2 + 9*f. Determine o*b(y) - 9*i(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-1)\/(-3))\/((-3)\/18))\/(-2). Let g(v) = -v**3 + v**2 - v - 4. Let f be g(0). Sort 2, f, d in decreasing order.\nAnswer: 2, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, r: 6}. Give prob of sequence rrrt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 10 = -p. Suppose p*j + 2 + 13 = 5*d, -12 = -4*d - j. Solve 3*c + 5*q + 1 = q, d*q = 2*c - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-31 - -11 - -12).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**4\/4 + m**3\/3 - m**2 - 7*m + 263. What is y(-3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 6447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 13324823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20901 divided by 3?\nAnswer: 6967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 37*b + 123. Let g be c(-40). What is the highest common factor of 18 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**4\/4 - 9*s**3\/2 - 243*s**2\/8 + 50*s. Determine j so that h(j) = 0.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 9*z - 35 = 3*j, 0 = -15*j - 37*z + 39*z - 152 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 20*i - 18. What is the units digit of y(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.6 + 0.2. Let z = s + -8.9. Let l = 0.03 + 2.97. Which is the second smallest value? (a) -0.04 (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 702 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 1d8d42?\nAnswer: -1d8d3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7095 + -7082.301. Round o to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 + 109. Let b = 15 - r. Is (2 - b - 2) + 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280 and 45752.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 14*d - 7164 = 0. Suppose 5*j - 4*g - d = -g, -4*j + 1907 = g. Is 53 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(195)\/sqrt(5)*-6)\/(sqrt(3)*-1*4))**2 + 2.\nAnswer: 125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k - 171. Let r(n) = -8*n + 288. Let y(w) = -5*o(w) - 3*r(w). Let z(t) = -3*t + 8. Determine -5*y(j) - 6*z(j).\nAnswer: -2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -128, 12, 3\/2, 2, 106, -0.4.\nAnswer: -128, -0.4, 3\/2, 2, 12, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssswsssssw. What is prob of sequence ssss?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + -3*(-6)\/(-9). Let z be (-78)\/x*20\/15. Suppose -j - z = -2*j + 4*u, -5*u = -5. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/2)*k)**(-8\/5)*(k\/k**9*k)\/(k*k**(-1)))\/((k**3\/k)**42)**40 assuming k is positive.\nAnswer: k**(-16847\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 166854510.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (30\/(-12))\/((-10)\/226216) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51 and 150183?\nAnswer: 2553111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 6*x - 10. Suppose -3*s + 10 = x*s. Let a be (-3)\/(-30)*35\/s. Put -0.5, a, 0.5 in decreasing order.\nAnswer: a, 0.5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1203133 (base 4) in base 12?\nAnswer: -3827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 0*k**2 + 0*k + 0*k**6 - k**3 + 0*k**4 + 0*k**5 + 4 - 3\/7*k**7. Find the third derivative of p(c) wrt c.\nAnswer: -360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9478943 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5809.258 - 61?\nAnswer: -5870.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1395659626?\nAnswer: 2, 29, 61, 421, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -17*i**5\/20 + 13*i**4\/12 - 3*i**3\/2 - 9*i**2\/2 + 8*i. Let m(z) = -4*z**3 + 3*z**2 - 2*z - 2. Calculate 26*m(a) - 6*q(a).\nAnswer: -2*a**3 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.07 from 13115.\nAnswer: 13114.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 m when four letters picked without replacement from {z: 5, m: 2, b: 1, v: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8\/433 - 33293\/2598. Find the common denominator of -23\/87 and b.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000583344 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4412*g + 4386*g - 520 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 804*j + 501*j + 363*j - 58380 = 0 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjkjjjkjkkkkk. Give prob of picking 2 j.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(735\/(-154)))\/(4\/(96\/(-8))).\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -58 - (19 + -39 + 17)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**3 - 264*l**2 + 41*l**2 - 81*l**2 + 21 - 20 in the form v + u*l**2 + p*l**3 + o*l and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/2 + 186 + -180. Sort f, 4, -3, 0 in decreasing order.\nAnswer: 4, 0, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - 243?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 9*w**2 + w + 4. Let h(a) = -20*a**2 - 3*a - 8. Let v(u) = 7*c(u) + 3*h(u). Let t(x) = -5*x**2 + 3*x - 7. Calculate 4*t(f) + 7*v(f).\nAnswer: f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yytt when four letters picked without replacement from {y: 11, t: 3}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6285 + 6285.1. Let s = 28 - 0. What is the nearest to p in -2, -1\/2, s?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241*p + 4990 = 271*p + 790. Let o be -10*14\/(-4)*1. Calculate the greatest common factor of p and o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -32. Let h(w) = 3 + 0*w**2 + 0*w + 5*w**2 + w. Let o be h(d). Calculate the greatest common factor of o and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/2 + (-148)\/(-8). Let f be (-3)\/(-12) + 15\/w. Calculate the greatest common factor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 96 + -30 - (1 - (-3 + 6 + -5)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + -75?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 5:50 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s - 3*i + 10430 = -24*s, -4*i = 5*s - 52128. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*a = 20, -4*w - 2 = -4*a - 102. Suppose 0 = -4*b - w, -27*t - 4*b = -25*t + 10. Solve t = -p + 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(8\/5))\/(g*(g*g**(1\/2))\/g))\/((g**(1\/3)*g)\/(g*g*g*((g\/(g*g**11))\/g)\/g)) assuming g is positive.\nAnswer: g**(-373\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, o: 2, k: 1, y: 1}. Give prob of sequence xy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 65, 88, 129, 194, 289, 420?\nAnswer: 593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 356.8 times 243.08?\nAnswer: 86730.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 21 = 91. Factor -30*v**2 - 3*v**4 + c*v**2 - v**4 - v**5 - 5*v**3.\nAnswer: -v**2*(v + 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -27208887 and -27208887 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002 minus -2?\nAnswer: 1.9998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**2 - 11*q - 3. Let l be a(8). Solve -3*t - 2*o = 8, 4*o = l*t - 0*o - 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqtssyyqkxyqyx. Give prob of sequence sq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 2513*o**4\/12 - 405*o**2 - 156*o + 4. What is the derivative of z(u) wrt u?\nAnswer: 5026*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r - 114 - 4*r**2 + 45*r**3 + 3*r**2 + 112 - 4*r**2 as f*r**2 + c*r + i + s*r**3 and give s.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(115\/414*8\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * 0.06045919\nAnswer: -0.0018137757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444*h**2 + 125*h**2 - 71*h**2 + 135*h**2.\nAnswer: -255*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2 + 9854*z + 719867. Give i(-72).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -3837876.3\nAnswer: 11513628.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03453838768 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 25 = -s + 6*s, -3*s + 5*o = 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 14*a**2 + 6*a - 5. Let n(o) = -9*o**2 - 4*o + 3. Let m(r) = r + 14. Let j be m(-6). Determine j*n(z) + 5*t(z).\nAnswer: -2*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*m - m. Let t be 4\/((-1 + -1)*1). Sort 3, m, t.\nAnswer: m, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(-49)*c*c**(-5)*((c\/((c**(-1\/2)\/c)\/c)*c)\/c*c)\/c assuming c is positive.\nAnswer: c**(-99\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5 + 5*v**5 + 1823938*v**3 + 24*v**2 + 44*v**4 - 1823852*v**3 = 0. What is v?\nAnswer: -4, -3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.4938 millilitres to litres.\nAnswer: 0.0604938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**3 - 179*p**2 - 122*p - 271. Determine n(-59).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2695 - -0.0435. Let x = n + -0.013. Let q = -2631\/11 + 239. Which is the third biggest value? (a) x (b) q (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 8*q - 13*q. Solve -q*c - 27 = -7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 18*i**2 + 38*i - 416. List the prime factors of t(24).\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.17 (b) -0.5 (c) 0.5 (d) -2\/3 (e) 216 (f) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 38086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from {v: 5, m: 2, k: 5, q: 1, n: 3, j: 4}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 90?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 129 and 268881?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 77*y - 756. Let r be t(37). Solve -2*g + r = 706 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69000, -68830, -68638, -68424, -68188, -67930, -67650?\nAnswer: -67348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 17959*p**2 - 61*p - 129. List the prime factors of s(-2).\nAnswer: 3, 23, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**3\/3 + 2*w**2 + 6*w - 14. What is h(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m - 9. Let a(t) = -t - 4. Suppose 0*h - 20 = -4*h. Let f(y) = -4*y + y + 4*y**2 + 2 - 5*y**2. Let b be f(-4). What is b*n(p) + h*a(p)?\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -561 - -565. Let h(j) = -j**2 + 10. Give h(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l + 22. Let g be m(10). Suppose -g*f - 34199996 = -3*f - 4*s, 4*f - 136800001 = s. What is f rounded to the nearest 1000000?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 28 = -4*j, -4*j - 16 = -30*p + 28*p. Solve 226*q = 4*x + 230*q - 24, 16 = 4*x - p*q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 549870356, 549870355, 549870354, 549870353?\nAnswer: 549870352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 449 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m + 686 - 722. Solve 13*s + 18*s = m*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256.0876 millennia to decades.\nAnswer: 25608.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.53409005174 and -7.\nAnswer: -7.53409005174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 1:43 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -59809, -59655, -59401, -59047, -58593, -58039, -57385?\n\"Answer: 50*x**2 + 4*x - 59863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131755224 is divided by 1072.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/2)\/((-140)\/24 - -6). Is 1*(-3 + (1215 - o - 2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/7)*o)\/(o\/(o**(1\/2)*o)))\/(o\/(o**4*o*o)*o)**(-18) assuming o is positive.\nAnswer: o**(-983\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*q - 132709 = 129578 - 265093 for q.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 40 = 2*q, -8620*q + 8617*q + 56 = 4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177, -167, -155, -141?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31340 (base 5) in base 3?\nAnswer: -2212121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {f: 5, n: 13}.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -7*k**4\/2 - 14*k**3\/3 - 4*k**2 + 8*k - 16. Let x(n) = 5*n**3 + 5*n**2 + 3*n - 3. Determine 3*s(w) + 8*x(w).\nAnswer: -2*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 + 927 = 8*d. Calculate the remainder when d is divided by -5 + 6 + -2 + 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332392 divided by 5?\nAnswer: -332392\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3118, 3101, 3084, 3067?\n\"Answer: -17*u + 3135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3844*v**2 - 586*v - 589*v + 1761*v - 586*v.\nAnswer: 3844*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (-8 + (-11 - -4))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/253 (b) -2\/7 (c) 158 (d) 0 (e) -0.1 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.52 + 0.01?\nAnswer: 64.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 9 + 39. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhhh when four letters picked without replacement from {h: 3, b: 13}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 1) + -12 + 3 + 13\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 27*o**2 - 4*o + 107. What is a(27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-15))\/(-80*43\/((-8600)\/16))?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47704637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1788 and 362556336.\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -251, -27\/7, 2?\nAnswer: -251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 6:42 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/37682 + 82222111\/489866. Let d be -3*(-8)\/(-9)*-63. Let g = y - d. Which is the third smallest value? (a) g (b) -13\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, 1, 649, -96 in ascending order.\nAnswer: -96, -6, 1, 4, 649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 718446 divided by 29?\nAnswer: 24774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 924*l**3 - 6*l**2 - 350*l - 6. Let v(z) = -924*z**3 + 4*z**2 + 349*z + 4. Let k(f) = -3*v(f) - 2*w(f). Find the second derivative of k(s) wrt s.\nAnswer: 5544*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*3*sqrt(351))\/(sqrt(18)\/(5*sqrt(54))))**2.\nAnswer: 3790800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-5)\/(-6))\/(2\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 30. Let z be 0\/(j + (-6 - -2)). Suppose -r - 4*m + 21 = z, r - 15 = -2*r + 4*m. Sort r, 4, 5.\nAnswer: 4, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15651 by 1739.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 15*a + 224. Give c(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 2:56 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -735903, -735905, -735907?\n\"Answer: -2*n - 735901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 10:35 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2172679 - 1460148. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(13)*1*3 + (sqrt(13) - (-1 + sqrt(13)*-1)) + sqrt(13))**2.\nAnswer: 12*sqrt(13) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 4 + 31. Which is smaller: -13\/5 or y?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajhjaqhjhhqjh. What is prob of picking 2 q and 1 h?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.77 - -12?\nAnswer: 10.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 445247.7kg to micrograms.\nAnswer: 445247700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137 - -210. Let l = -73 + u. Let w be (88\/16 + -5)*l\/2. Solve -6*p + 2*p = w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 34*m**7\/105 + 9*m**3 + 37*m**2 + 2. What is the first derivative of i(r) wrt r?\nAnswer: 272*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36ac31 (base 14) to base 7.\nAnswer: 21632661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (6 - 7 - -39) + 2\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3539434 and 34238.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 7:20 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/3)\/(1240\/(-496)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {j: 2, n: 3, i: 1, t: 3, f: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8752?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x + 6. Let a be r(-3). What is a rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 550 - 2*s - 550.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -447037*o*u + 1955979*o - 5*u + 1 wrt u?\nAnswer: -447037*o - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24 or -6\/617?\nAnswer: -6\/617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -396*m**4 - 1029?\nAnswer: -1584*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51125 + 90264. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**5\/2 - 9*g**4 - 75*g**3\/2 - 27*g**2 = 0.\nAnswer: -2, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 4175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 2:02 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (8 - 3 - 0 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36748?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(1\/2))\/(q\/(q*q\/(q**(1\/6)\/q)))*((q**(1\/3)\/q*q)\/q)\/(q\/((q*((q*q**(-1))\/q)\/q)\/q)) assuming q is positive.\nAnswer: q**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.4 (b) -2\/9 (c) 479974 (d) 0.5 (e) 4 (f) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3393 + -3365. Suppose l - 3*l - 46 = 0. Let p = r + l. Solve 0 = -p*q - 9 - 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7481 + 7429.71. Round f to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*h**2*q**3 - 62*h**2*q**2 + 58*h*q**4 + 2*h*q**2 + 45*h - 28*q**4 - 8*q wrt q?\nAnswer: 36*h**2 + 1392*h*q - 672*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - -2)\/(60\/8 + -5). Let c = 7 - 2. What is the third smallest value in -3, c, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o**4 - o**3 + 0*o**3 + 5*o**3 - o - 2*o**3 - 2*o**2 to q*o + m*o**4 + y + t*o**2 + x*o**3 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2216 + -1446?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*r + 21 = 4*m, -4*r = -3*m + 17. Solve 7 = -m*u + 22 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2)*(-6 + 3 + 0)*(2*n**4 + 2*n**4 + 0*n**4).\nAnswer: -24*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 0\/(-1) + 23. Suppose 12*u + 256 = 28*u. Let a = b - u. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15136119.87 rounded to the nearest one thousand?\nAnswer: -15136000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**0)**(-12\/5)*b\/(b\/((b\/(b*b\/b**7))\/b))*b**(-2\/7))**(2\/87))**46 assuming b is positive.\nAnswer: b**(1012\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 1331?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (738\/(-492))\/(9\/1110). Are i and -185 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*u = 33*u - 72. Suppose 0*z + z + 22 = 5*j, -u = -4*j + z. Solve 3*k + 3 = j*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4697 - 19792 = -3*c + 2*p, -5*c + p = -25163. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/8)\/(1\/2). Let v(t) = -t - l*t + 3*t. Let k(f) = -9*f + 8*f**2 + 3*f**2 + 9*f + 3*f**2. Calculate k(v(y)).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 - 23*b + 51*b - 171*b - 71*b - 12 + 58*b in the form m*b**2 + r + y*b and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 4940*y**2 - 29707*y - 184. Determine q(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 804.8 - 3022.3. Round l to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*p + 1063 - 1063 + 0*p + p + 0*p + (4*p - 6*p + 4*p)*(2 + 0 - 3).\nAnswer: -47*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6194 + 12149. Does 74 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/17836 and -107\/37044.\nAnswer: 481572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3152323 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9853 is divided by 572?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -4. Suppose -5*f = 2*r - 40, -2*f + 5*r - 8 = -3*f. Find the common denominator of (p\/f)\/((-21)\/96) and -77\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10119 is divided by 115.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = u - 322, u + 2*q - 317 = 4*q. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (683*o**2 + 338*o**2 - 376*o**2 + 1148*o**2)*(5 - 5 - 2).\nAnswer: -3586*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 - 31*f + 21. Let q be u(7). Let s(c) be the first derivative of -16 + q*c + 3\/2*c**2. Let n(v) = 22*v**2. What is s(n(d))?\nAnswer: 66*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 37, -2 in decreasing order.\nAnswer: 37, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 5, 0, 3, -3793 in ascending order.\nAnswer: -3793, 0, 3, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 1642416?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/8592)\/7*372*200\/3100.\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3635 + 3638. Let r = -15 + 7. Which is the smallest value? (a) r (b) 6\/7 (c) l (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -f - 2*p + 5, -5*p + 25 = 0. Suppose 0 = 2*u - 62 - 8. Calculate the highest common factor of u and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 1)*(a**4 - 3*a**2 + 3*a**2) - a**4 + 5*a**4 - a**4 + a**2 + 4*a**4 - a**2 in the form o*a**4 + i*a**3 + u + w*a**2 + t*a and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-920)\/138*(-2)\/10)\/25. Which is greater: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 294132 and 1043178?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 16449*m - 16446.\nAnswer: -3*(m - 5482)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o + 425 + 59 = -62 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 590*g - 166*g**3 + 165*g**3 + 271*g**4 - 87*g**4 wrt g.\nAnswer: 2208*g**2 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 a when three letters picked without replacement from {a: 2, t: 2, o: 1, w: 2, n: 1, b: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 21.0283 times 0.1\nAnswer: 2.10283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13\/28420 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, -0.091, -2\/7?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 583*k - 382. Let l(o) = -292*o + 192. Let w(c) = -5*l(c) - 3*r(c). Is w(-29) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {j: 4, n: 4, t: 3, m: 5, c: 3}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -6. Suppose -5*c + v = 2. Let p be 1 + 159\/(6\/c). Calculate the greatest common divisor of 18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3234 and 1556093?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 < -1385338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-21)*107730\/45144 + (-10)\/2.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -13. Let z(p) = -p**2 - 5*p - 1. Determine z(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 12287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/29 (b) -3 (c) -16\/127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = l + 3*d, 176 = 6*l - 5*l - 3*d. Suppose -139 + 37 = -3*p. What is the remainder when p is divided by l\/16 - (2 - (-18)\/(-8))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3159088463 to the nearest integer?\nAnswer: 56206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35277 = m + 5*r, 0*m + r + 141150 = 4*m. Suppose -m = -6*u + 5207. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -14. Let q be (0 + 5)*2\/h. Let l = -13\/12 - q. Which is the smallest value? (a) 5 (b) l (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1232*c - 1233*c = -2503*c + 3040 for c.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2.59, -0.1?\nAnswer: 2.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven halves of a millisecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, -4, 10, 2, -2, -9.\nAnswer: -9, -4, -2, 2, 10, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 6*g**2 - 5*g + 4. Let w = -9 - -15. Let u be v(w). Let f = -18 - u. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1115875.14 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from {x: 1, m: 2, i: 1, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(88) + -2*sqrt(88) - sqrt(88) - sqrt(88)) - -2*(sqrt(88) + sqrt(88)*-2))\/(5*-2*sqrt(200)).\nAnswer: -7*sqrt(11)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifteen quarters of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) -5 (c) -2\/17 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 18. Suppose -y = -s - 0*s. Solve 5*n = s*n - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -51*k. Let v(o) = -62*o**2 - 1 - 3 + 49*o**2 + 16*o**2. Give v(s(w)).\nAnswer: 7803*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in seconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + r**2 - r**2)*(11 - 4 + 8)*(4 - 2 + 0).\nAnswer: 90*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1074 + 1064. What is the closest to 0 in z, -1\/3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4603*b - 50636. Determine h(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.3 from -3.602.\nAnswer: -0.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 122862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -37.567375 and 660627.\nAnswer: 660589.432625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384 = -2*t + 2*b + 2*b, -3*t + 582 = -4*b. Suppose t + 157 = 5*k. What are the prime factors of k?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-2)*-6*(-26)\/78\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 626*n - 5. Calculate the remainder when j(1) is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*w - 8 + 8 - 1520*w.\nAnswer: -1461*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1376 = 113*a - 793 + 1338 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 4 - (-15 + -1 + 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*v + 38 - 20 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + 41\/((-738)\/324) - 69) + 2.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -524 - -765. Let k = 419 - h. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-42))\/(2\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 37*p**2 + 160*p - 28. Determine d(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*d**3 - 50*d**3 + 98*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.5 - -15.5. Which is the second smallest value? (a) -1 (b) u (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/323 + 319\/646. Let w = 1 - -1. Suppose 0 = 3*r - j + 9, -5 - 14 = 4*r + j. Which is the closest to i? (a) 1\/7 (b) r (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x**2 - 15. What is z(4)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-26) - (-1335)\/780*4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {n: 2, p: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.7909511983 and 0.11.\nAnswer: 3.9009511983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t - 12 = 0. Suppose -3*q + t = h, -3*h - 6 = -0*h + 3*q. What is the tens digit of ((-14)\/h)\/(3\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from gqqqgooqqoqqoqqoqo.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 248 - 248 - u. Let g(q) = -q + 0*q - 2*q. Determine z(g(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10301 (base 4) to base 2.\nAnswer: -100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 7*d - 4. Let n be k(5). Let l be n + -3 - (0 - 1). Suppose -22 + 90 = l*p. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-42))\/((-2)\/3). Let b = 0.3 - -0.2. What is the second smallest value in 0.3, a, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from rmmrrrmvvr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8) - (-190)\/(-40) - (8 + 193\/(-15))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 less than -126.05568?\nAnswer: -104.05568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-20))\/((-2)\/(-232)). Let f = u - 85\/3. Which is the smallest value? (a) -1 (b) f (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b - -b35?\nAnswer: b51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**5\/180 + 5*s**4\/36 - 25*s**3\/18 + 33*s**2\/2 + 21. Let i(g) be the second derivative of k(g). Factor i(d).\nAnswer: -(d - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1 - 2 + 1 + 3 + i. Let s be f(1). Suppose z + h = 19, -2*h + h = s*z - 38. Solve 2*r + 2 = -4*p - 0*r, 5*r = 2*p + z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - u**2 - 2*u**2)*(134*u + 123*u - 56*u).\nAnswer: -402*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1778664726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 48*r - 117. Let h(f) = -23*f + 59. Let w(y) = -2*c(y) - 5*h(y). What is the hundreds digit of w(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 30013112230?\nAnswer: -30013112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**7))\/m**(-3))**(-22\/5)*(m**(4\/11)*m**(-3\/2))**(-40) assuming m is positive.\nAnswer: m**(3468\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(3) + sqrt(3))*3.\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -1 (c) 1\/1212 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + s - 6. Let r be i(0). Is (-2)\/r + 784\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15519, -15530, -15551, -15588, -15647?\n\"Answer: -p**3 + p**2 - 7*p - 15512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/(-20))\/(2\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/1)\/(-12*(-1980)\/432)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 8:37 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 3*j - 2. Let p(w) = -2*w**2 + 6*w - 4. Let r(z) = -4*p(z) + 7*s(z). Let f be r(3). Solve 0 = -2*o + f*u - 20, 2*u - 8 = o + 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w**2. Let f(t) = -10*t**2 + 37*t + 1. Determine f(o(c)).\nAnswer: -160*c**4 + 148*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2509*x + 2377*x - 12250 = 4761*x for x.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3756 divided by -6\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 206.2 and -12.015.\nAnswer: -2477.493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010010101000110000100 (base 2) in base 9?\nAnswer: 22782421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 217.0257 litres in millilitres?\nAnswer: 217025.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/9 + 16\/6. Let j(w) be the second derivative of -1\/15*w**a + 0 + 1\/50*w**5 + 2\/5*w**2 + 3*w - 1\/15*w**4. Factor j(q).\nAnswer: 2*(q - 2)*(q - 1)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*x**3 + 1168*x - 1168*x + (3*x - 3 + 3)*(-2 + 2 + 2*x**2) - 2*x + x**3 + 2*x + x**2 - x**2 + 2*x**3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-14 + 25)) + (-6 + 29 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -760 + 772. Calculate the lowest common multiple of w and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of k**3\/3 - 1. Let b(z) be the second derivative of -11*z**4\/6 + 432*z. What is b(u(c))?\nAnswer: -22*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -n - k - 1, n + 7 = -2*k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 85244 and 85391 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 69750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 2\/(-2) - -2. Let j(n) = 3*n + 2. Let d = -73 + 88. Calculate the remainder when d is divided by j(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.3 + 5.13. Let x = o + 6.17. What is the closest to -2\/5 in 5, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 0.5904?\nAnswer: 0.3904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9*(-14)\/252*4\/6\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-35 - (-14 - (4 - 16 - -9))).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -18\/1213, -3\/5 in ascending order.\nAnswer: -3\/5, -0.3, -18\/1213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g. Let h(o) = 888209*o. What is h(x(u))?\nAnswer: -888209*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8456871 litres?\nAnswer: 845.6871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6201, 84, 0.06 in descending order.\nAnswer: 6201, 84, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2442 - -5?\nAnswer: -243d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 14) to base 4\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y + 6. Let j = -157 + 1101\/7. Let a = 532 - 1597\/3. What is the nearest to j in a, y, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*9\/144*20\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen fifths of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20579*c + 41433*c - 2 + 2 - 20853*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - p = 3*p + 18, c + 15 = -4*p. Let r(u) be the second derivative of u**4\/3 + u**3\/6 + 75*u. What are the prime factors of r(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11\/4 - 17\/4. Which is the nearest to 0? (a) w (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-875 + 58*p**2 + 875)*(-25*p + 2*p + 10*p) + (9*p - 3*p - 5*p)*(-2*p**2 + 0 + 0) to u*p**3 + x + v*p + r*p**2 and give u.\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 15*j - 35 - 10. Suppose -4*b = t - 0*t + 6, 3*b = 5*t - 39. Let p = 12 - t. Solve 18 = -j*f + p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*g**3 + 35*g**3 - 165*g**3.\nAnswer: -294*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 2*y - 415, 2*y = 5*u - 0*y - 697. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -960 + 1164. Calculate the remainder when j is divided by 92.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(7488) - (-1 + sqrt(7488) + sqrt(7488))))**2*6.\nAnswer: -4608*sqrt(13) + 718944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -121*k**5 + 33*k**4 + 765*k**3 + 191*k**2 - 1320*k - 900 = 0.\nAnswer: -15\/11, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*c + 2. Let x(i) = i**2 + 1. Give x(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2317.741 - -2319. Let o = 0.044 + f. What is o rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222033 is divided by 108.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 4 + 0*h**2 + 0*h + 1\/3*h**3. Let o(w) be the second derivative of w**3\/2 + w. Calculate v(o(c)).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -4*s - 7, -y + 5 = 3*s + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(-2*((sqrt(300)*1)**2 + -3) - (3*sqrt(300) + 4)**2*-4).\nAnswer: 1920*sqrt(3) + 20539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -334836640, -334836641, -334836642, -334836643, -334836644?\n\"Answer: -t - 334836639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252 = 14*z + 2*a + 98 - 275 + 103, 2*z = -a + 48 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -87 + 128. List the prime factors of c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4217379, -4217377, -4217375, -4217373, -4217371, -4217369?\n\"Answer: 2*s - 4217381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -607044254 to the nearest ten thousand.\nAnswer: -607040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 774615767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 12:20 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1320\/7 + -4573\/28. Let i = -7401\/1826 - 22\/83. What is the common denominator of t and i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 131792346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 + -39. Let n(h) = -7*h + 29 - q. Let a(g) = -5*g. Let w(c) = 18*c. Let v(x) = 21*a(x) + 6*w(x). Determine v(n(i)).\nAnswer: -21*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 60*n**3 + 3*n**2 - 4*n - 7. Let z(m) = 30*m**3 + m**2 - 2*m - 4. What is -4*q(j) + 7*z(j)?\nAnswer: -30*j**3 - 5*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -17*i**2. Let v(z) = 12*z**2. Calculate v(y(f)).\nAnswer: 3468*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/((-20)\/4) + 115?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p**3 - 4*p**2 - 2*p. Let s(k) = 11*k**3 + 11*k**2 + 5*k. Let l = 38 - 42. Let j = l - -20. Suppose q = -q - j. What is q*v(m) - 3*s(m)?\nAnswer: -m**3 - m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/9 and (5796\/54)\/(268 - 4).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16212 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 228 and 30?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-18)\/(-12)*15\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*a + 135, 2*a + 0*l + 3*l - 61 = 0. What is the greatest common divisor of 230 and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 1.6, 4, -4, -2\/11, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/6*4*12\/(-8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -303, -10, 13 in ascending order.\nAnswer: -303, -10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 28, -1\/3, -2, 2.\nAnswer: -2, -1\/3, 2, 28, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -164 + 18 - -56 - -150\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 31, 5, -22309.\nAnswer: -22309, -0.04, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/24, 1, -130.64 in ascending order.\nAnswer: -130.64, -5\/24, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 2*f, v - 3*v = 4*f + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112033 + -1011?\nAnswer: -113044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09277996 rounded to 3 dps?\nAnswer: 0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 2165\/(-21) - 5\/(6090\/116). Solve z*d - 1158 + 437 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (254\/(-12) - (3 - 18))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(325))*-6*4.\nAnswer: -120*sqrt(13) - 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*r + 11 = 2, -5*x = 4*r - 11. Suppose -d + 2*n + 80 = 83, 0 = 5*n - 20. Calculate the least common multiple of x and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x - 100. Let u be a(-21). Suppose -5*w + 30 = l, -2*w - u*l = 2*w - 45. Solve 0*g + w = -5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c**2 + 2*c**2 - c**2)*(216 + 1371 - 231) - 1 + 1 + 3*c**2 to the form m*c + i + x*c**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*a - 7. Let f(c) = 2*c + 4. Let g(x) = -2*x + 8. Let p(n) = 3*n - 14. Let s(q) = -5*g(q) - 3*p(q). Let w(m) = 2*f(m) - 3*s(m). Give w(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 25 = -3*o, -21*u = -26*u + 65*o - 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10857.\nAnswer: 3, 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**4\/12 + q**3\/3 + q**2\/2 - 5233*q. Let l(s) = -s**3 - s**2 - 3*s - 2. Calculate -3*g(j) - 2*l(j).\nAnswer: 2*j**3 - j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 3*p + 5*g, 145 = 10*p - 7*p - 5*g. What is the remainder when 81 is divided by p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1134434 + -123?\nAnswer: 1134311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 223, 409, 589, 757, 907, 1033, 1129, 1189?\nAnswer: 1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(1408) + sqrt(1408) + sqrt(1408) + (sqrt(1408) - -1*sqrt(1408)) + sqrt(1408))\/(2*sqrt(99)) - ((0 + sqrt(162) + sqrt(162))**2 + 2 + 5)).\nAnswer: -656 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - -3*(sqrt(117) + 1*sqrt(117)) - -3*(sqrt(117) - (sqrt(117) - sqrt(117)*1)))\/((2*sqrt(144) - sqrt(144))*5).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5056 = 30*i - 34186. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -125, -134, -149, -170, -197, -230, -269?\n\"Answer: -3*i**2 - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -24, -11 in decreasing order.\nAnswer: 0, -11, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + -10?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqyqqqqyqqqqqqyqqqqq. Give prob of sequence qqqq.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3*b + 5, 55 = -3*u + 7*u - 5*b. Let p(z) = -11*z + 6 + 2*z - u + 0*z. What is the units digit of p(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 + 2008b3?\nAnswer: 2008bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nlbninkilsbiiibnib.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -100010000000111101001000100?\nAnswer: -100010000000111101001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 25*m**3 + 64*m**2 + 41*m + 5. Let x(v) = 276*v**3 + 704*v**2 + 452*v + 56. Let f(o) = -3*x(o) + 32*y(o). Factor f(b).\nAnswer: -4*(b + 1)**2*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*m + 3 = 0, -2*m = b + 2*m - 15. Suppose 36 = 4*o - 4*q, -b*o = o - 3*q - 40. Solve -2*u - 5 = -o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 25*b**3 + 143*b**2 - 103*b + 18. Let s(l) = 4*l**3 + 22*l**2 - 17*l + 3. Let k(h) = 19*s(h) - 3*y(h). Give k(12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 + -0.5. Let y = i - 0.2. Let d = 7.9 - 8. What is the closest to d in y, -2\/7, 1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 842775*c - 14645 = 842920*c for c.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81952*j**3*r + 7219*j**2*r + 3*j*r + j wrt j.\nAnswer: 491712*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-11)\/22)\/((-3)\/15048 - 0). Let y = v - 1442. Does 26 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 196\/(-35) - (-6)\/10. Find the common denominator of 2 + 10*1\/18 and 20*3\/42*l.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a century in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**4\/2 + r**3\/3 + r**2\/2 - r - 4. Let h = -10 + 13. Let s(u) = 5 + u**2 + 4 - u**h - 10. Give -l(j) + s(j).\nAnswer: j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**5\/60 - f**4\/8 + f**3\/6 + 8*f**2 - 46*f. Let m = -4 - -6. Determine w(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 6138126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 3, 21.\nAnswer: -1, 0, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37705244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1614 is divided by (5 - 10 - -11) + 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9604 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 31.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 2*b**2 - 35*b + 6. Determine p(-6).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 0 - 6. Suppose 2*m = 4*f + 50, -m + 3*f + 12 = -18. Suppose -t + n = -m. What is the remainder when t is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/((i\/i**(4\/11))\/i)*i*i*(i**(2\/7)*i)\/i*i**(2\/5)*i**4 assuming i is positive.\nAnswer: i**(3099\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41739 at least as big as 41754?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 572 - 461. Let w(t) = 223 - 3*t - o - 110. Let k(q) = 5*q**2. Give w(k(h)).\nAnswer: -15*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 - 60. Suppose 2*n - 145 = -5*u, 0 = 3*n - q*u - 71 - 157. Does 25 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*m**2 + 3413*m - 3413*m.\nAnswer: 168*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-72)*-21*2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 87 (b) -0.3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -21*c**3 + 18*c**2 + 40*c + 12. Calculate the smallest common multiple of s(-3) and 207.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/31 (b) 34 (c) 0.3 (d) 1106 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7959787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 47 = 3*y, -4*o - 35*y + 38*y - 11 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - c + 4*k = 25, -k = -4 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*d**2 - 27*d - 9*d**5 + 17*d + 10*d wrt d.\nAnswer: -540*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n = 3*g - 29, n + 34 = 3*g. What is the remainder when 51 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11226525 and 3308?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1398597 and 20544?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14216 (base 7) to base 15\nAnswer: -123e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p - 12 = 0. Let o be 4\/(p\/7)*-3. Solve c = 4*u - o, 3*c - 2*c - 2*u = -3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160 by 5.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*f**3 - 1154*f**2 + 4036*f - 2800 = 0. Calculate f.\nAnswer: -700\/41, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31768 - 11?\nAnswer: -31779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1724 + 637 = -36*v - 763. What is the lowest common multiple of v and 591?\nAnswer: 1773","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 5071.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 0.2, 0.1, -9177?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5232210?\nAnswer: 2, 3, 5, 174407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d + 1. Let n(w) = -1981*w - 3. Calculate -n(y) - 5*p(y).\nAnswer: 2001*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 29460?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 105\/4 + (-13)\/52 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iimgimi.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 10*p**2 + 3. Let j be z(10). Suppose -140 = -5*c - 3*v - 2*v, 114 = 4*c + 5*v. Suppose 5*t - c + 6 = 0, -5*t = -j*m + 88. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 2 + (0 - 3) + 7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1523191, -1, 1 in descending order.\nAnswer: 1, -0.1523191, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 1. Let y be (-6)\/(-21) - (-23)\/(-7). Let g(p) be the first derivative of -p**3 - 2*p + 13. Give y*g(j) + 6*v(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/5 - 16*c**3\/5 + 8*c**2 + 64*c\/5 - 144\/5.\nAnswer: -(c - 2)**2*(c + 2)*(c + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*z = -2600, 4*a - a + z = 1549. Calculate the remainder when a is divided by 31.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -7*w - 6. Let f(u) = 2*u - 33. Let i be f(14). Let t(v) = -6*v - 5. Let d(p) = i*k(p) + 6*t(p). Let m(s) = -2*s**2. What is m(d(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 19*n**2 - 137*n - 588. Calculate g(-13).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 14625376*f - 14625377.\nAnswer: (f - 1)*(f + 14625377)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 205 + -202.49. Let p = 2.5 - z. What is the closest to p in 0.2, -2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 7 + (-6 - (-8 + 18))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2. Let l(g) be the third derivative of -g**5\/15 - 10*g**2. Determine l(q(d)).\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -4) + -6 - (-26 + 45 - 17).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**5\/3 - 16*x**4\/3 - 76*x**3\/3 - 82*x**2\/3 + 77*x\/3 + 98\/3 = 0 for x.\nAnswer: -7, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 10*y**2 + 7*y + 23. Suppose 4*p = -2*l - 46, -355*l + 350*l = p + 43. What is n(p)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108572 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-71 - (11 - -1 - (94 + -67))) + 1\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 1\/24*u**4 + 3\/2*u**3 + 119*u**2 + 0*u + 0. Determine o(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-55)*2)\/(1\/10). Let z = -0.4736 - -0.1736. What is the closest to w in -3, -4, z, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 10*d + 5*f - 35 = 0, 3*f = 3*d + 9. Let s(z) = -5*z + d + 3 + 12*z + z**2. Determine s(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2257 is divided by 113?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 1. Let d(s) = 3*s**2 - 12*s - 5. Let z = 24 - 25. Let h(m) = z*d(m) - 5*q(m). What is the second derivative of h(j) wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**2 + 5*f + 8. Is 13 a factor of q(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4262611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(-4)\/(0 - 4)*1. Suppose k = -3*k. Solve j*d = -k*d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*-1 + sqrt(50) - (sqrt(50) - sqrt(50)*2*-4))\/(sqrt(100)\/(-5*(sqrt(10) - sqrt(160)))).\nAnswer: -150*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 4) in base 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24a1b98 - -2?\nAnswer: -24a1b96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 147.5518 rounded to 1 decimal place?\nAnswer: 147.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 1:44 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 150122*s*x + 71723*x wrt s?\nAnswer: 150122*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/4 - -7 - -112. Suppose -3*j = -q - 67. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1597\/14 + 229\/2. Let t be (-6)\/(-675)*5*-5. What is the closest to -1 in -5, t, 2\/17, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**4\/5 - 192*i**3\/5 - 4606*i**2\/5 + 192*i\/5 + 4608\/5 = 0.\nAnswer: -48, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12342?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210 and 5635?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-27))\/((-20)\/1350)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 - 0.1. Let s = h - 0.29999. Round s to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 704 and 264.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 5*w + 7. Suppose 0*c = 3*c - 6. Suppose -3 = -3*u + f - 0*f, -c*u + 2 = -f. Calculate the remainder when u is divided by m(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/5)\/(x*x**0\/x*x)*x**(-3\/4)*x**4*(x**(-1))**26*(x**(-2\/7)*x)**(-26) assuming x is positive.\nAnswer: x**(-5869\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*s + 22, 460*s + 23 = 461*s - 3*o. Solve -2*l - 5 = -l + 2*h, 5*h + s = -4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.06 (b) 11 (c) 9 (d) -0.99921\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1675, 0.1, -0.5, -5\/4792 in ascending order.\nAnswer: -1675, -0.5, -5\/4792, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 35*v**3 - 7*v**2 - 7*v - 7. Let n(z) = 12*z**3 - 2*z**2 - 2*z - 2. Calculate 7*n(j) - 2*y(j).\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14, 36, 94, 206, 390, 664, 1046, 1554?\n\"Answer: 3*f**3 + f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*s - 29*s - 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 582099 (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/25? (a) -0.03 (b) 0.2 (c) -2\/11 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -7 (c) 7 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10304 = -42*u + 26*u. Calculate the remainder when u is divided by 128.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 + 4*k - 1. Suppose -4*m - 105 = -3*z, -5*m = 5*z - 10*z + 175. Suppose 7*p = -z - 0. Give w(p).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -470, -560, -810, -1304, -2126?\n\"Answer: -14*t**3 + 4*t**2 - 4*t - 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2242.794g in tonnes?\nAnswer: 0.002242794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-792)\/60)\/((-6)\/(-5)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 12 = 2*f, 17*x - 3*f + 20 = 15*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m - 2*v - 8 = 0, 5*v - 12 = -3*m. Solve m*l + l + 25 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.54 + 0.26. What is k rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 168516\/906*11\/3. Is 696 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.2 - -2. Let m = 4.4 + -4. Which is the nearest to z? (a) m (b) 3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 65 = -5*h, -2*h + w = -3*h - 13. Let l = h - 16. Let j = l + 47. Solve 2*c - 12 = -4*m, -c + j = 5*m + 3*c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12519748.44 rounded to the nearest 1000?\nAnswer: 12520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21798079 to the nearest integer?\nAnswer: 4669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1696187*i**2 + 4. Let a(c) = 15*c - 1. Determine a(f(g)).\nAnswer: -25442805*g**2 + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 = -j - q, q - 3 = 0. Let d = j - -19. Suppose 0 = -w - 3*w - 4*c + 232, w + 4*c - 49 = 0. What is the remainder when w is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.35 + -2.6. Let k = 0.15 + o. What is the closest to 5 in k, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*t + 10 = 2*t, 2*t = 2*a + 6. Let o be (-11)\/(1 + (5 - 3)). Is a > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -8*m - 3. Let d be k(-5). Suppose 2*i = 3*i - d. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3723204612.986 - 28.\nAnswer: 3723204584.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2695563, -10782282, -24260147, -43129158, -67389315?\n\"Answer: -2695573*f**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 92 or 3?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1 - 15*q + q - 88*q**3 + 175*q**3 - 88*q**3 + 14*q**2 + 13*q. What is c(14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**4 - 2*d**4 - d**4 + (-d + 4*d - d)*(-2335*d**3 - 5316*d**3 - 12036*d**3) to the form k*d**3 + g*d + j*d**4 + h + b*d**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/9 + 4*l**3\/9 - 2*l**2\/9 - 4*l\/9.\nAnswer: 2*l*(l - 1)*(l + 1)*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13, -33, -79, -163, -297, -493?\n\"Answer: -2*b**3 - b**2 - 3*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2 - o + 21. Let d be -2*2 + (7 + 0 - 3). Is z(d) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101 (base 2) to base 3.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -b4 (base 15) in base 3?\nAnswer: -20021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 27 - 2 + 0 + 4 - 2 + 2 + 1 + (-1 - 2 + 2)*(-5 + 2 + 1) - 5 - 2 + 2)*((v**3 + 1 - 1)*(7 - 3 - 2) + 4*v**2 - 4*v**2 + v**3).\nAnswer: -84*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + w - 2)*(282 - 39 - 162) - 2*w - 1 + 1.\nAnswer: 79*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3557*m + 6457*m - 1558*m + 1745*m + 1717*m + 11489*m + m - 2*m - m + 1 + 2*m - 1 + (-4 + 1 + 1)*(-3*m + 0*m + m).\nAnswer: 23411*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 224+4653\nAnswer: 4877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-500)*5)\/(60\/48).\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -653*s + 633*s = -2900260. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -5*w**4\/24 + 2*w**3\/3 + w**2 - 2*w. Let g be c(1). Let y(d) = -d**2 + 3*d + 1. Determine y(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -55, -14, 157, 524, 1153, 2110?\n\"Answer: 11*k**3 - k**2 - 33*k - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 44312225?\nAnswer: -44312230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 12*u**2 - u - 2. Suppose 3*m - 4*g = -0*g + 19, -4*g = 28. Calculate s(m).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 1:20 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2254*f - 2251*f - 5*v = -8, 0 = -5*f + v - 28 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 2*j**7\/105 - 2*j**6\/15 - j**5\/15 + 2*j**4\/3 - 208*j**2. Factor r(k).\nAnswer: 4*k*(k - 4)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 430 divide 211036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2008 + -2013. Put -2, 6, g in ascending order.\nAnswer: g, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7157945 is divided by 1550?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*l - 5 = 0, 2*l = -5*v - 3*l - 5. Calculate the least common multiple of 68\/10 - v - 888\/1110 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2587736.8 rounded to the nearest 1000?\nAnswer: 2588000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 1013 = 1097. Suppose -c + 6*c - h = 0. Suppose 3*i - c = 8. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/5 - -3\/10. Suppose 97 = -4*q + 265. Let p be (-2)\/q + (-3)\/(-9). Is g less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/6*(-1)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - o**2 + 6*o + 5. Let m be g(-4). Solve 9 = 4*b + m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/28 and 59\/1194.\nAnswer: 16716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 0.03, 0.5, -6\/5.\nAnswer: -6\/5, 0.03, 2\/13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 21840741.92 to the nearest one thousand.\nAnswer: 21841000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 39646793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72*v**3 + 111*v**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2355 is divided by 1153.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4) + 7\/2. Let h be (-1)\/15*1 + 13\/((-21450)\/2365). What is the third biggest value in h, -5, -8, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2503.69 times 0.0312?\nAnswer: -78.115128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 1209466?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(72) + -1)*1*-2 + 1)*-3 + -2.\nAnswer: -72*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 10*q**2 - 10*q - 9. Let o be 6\/((176\/(-12))\/(-4) - 3). Let g(x) = 9*x**2 - 19*x**2 + x + o*x**2 + 1. Determine -18*g(h) - 2*s(h).\nAnswer: -2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 242, 486, 830, 1346, 2106?\n\"Answer: 12*x**3 - 22*x**2 + 226*x + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 61794662 and -0.1.\nAnswer: -6179466.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2207438620.\nAnswer: 2, 5, 19, 1039, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2212613 >= 2212618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -11*f - 2691. Let g(z) = 5*z. Determine b(g(c)).\nAnswer: -55*c - 2691","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.48665 litres in millilitres?\nAnswer: 6486.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513908751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -148 and 23.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**4\/15 + 22*r**3\/5 + 664*r**2\/15 - 9256*r\/5 + 5408\/3 = 0.\nAnswer: -20, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 13, -5, 3.7, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153011660 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9383 + -18899. Is 6\/10 - (b\/15 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 86, -1\/3 in increasing order.\nAnswer: -1, -1\/3, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 263845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19 + -21 - 9*-1. Solve x + l = 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 40332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 14*j - 12. Suppose m + 12 = 3*m. Let b be o(m). Factor -21 - b*n**4 - 25 + 8*n**3 + 28*n**5 + 46.\nAnswer: 4*n**3*(n - 1)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15503 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 - -1.9. Let x = 2\/39 - -103\/273. What is the nearest to 1\/3 in x, z, -2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -1. Let v(o) = 16*o**2 + 6*o - 4 + 2*o - 14*o**2. Calculate the lowest common multiple of l and v(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 28*s - 33*s + 20, -2*s + 30 = 4*y. Solve -6 = 4*u - y*t + 10, -u - 3 = -t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 r when two letters picked without replacement from {o: 2, r: 2, g: 1, y: 4}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - (2 + 3 - -1). Let r = z - -16. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-288)\/(-30))\/8)\/(-1*(-6)\/(-30)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102221.\nAnswer: 7, 17, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -339?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 - 27. Which is greater: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.3, 45, -1\/3 in decreasing order.\nAnswer: 45, 0.3, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/10 of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17866 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 320*b - 23*b**2 + 29*b**2 - 15*b**2 + 397*b**3 + 27*b**2 - 8*b**4 wrt b?\nAnswer: -192*b + 2382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**2\/7 - 221052*r\/7 - 221048\/7 = 0.\nAnswer: -55262, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 3*h**2 - 7*h + 134. Determine i(0).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*n + 16. Suppose 5 = -n*v + 2. Let q = -296 - -296.3. What is the second biggest value in q, v, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 17984*j - 1. Let i(p) = -5*p. Give i(m(y)).\nAnswer: -89920*y + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-42)\/18)\/7)\/(2\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 409 - b - 387 + b.\nAnswer: b + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 97935 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/3*(-18)\/(-15). Suppose -2*b + s = -m - 6*b, m = -3*b - 4. Let z(u) = u**2 + 3*u + 1. Let a(q) = 4*q**2 + 10*q + 4. What is m*a(l) + 14*z(l)?\nAnswer: -2*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*c**4*v + 7*c**4 - 2*c*v + 6*c - 2*v wrt c?\nAnswer: 72*c**2*v + 84*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 13 + 53 = 0. Let p = 6 + -10. What is the smallest common multiple of i and p\/(-1*(-2)\/(-8))?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 104, 105, 104, 101, 96, 89?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*n = -3*q + 18, 5*n - 19 = 3*q. Factor 11 - 3*z**q - 11*z**3 - 11 + 5*z**2.\nAnswer: -z**2*(11*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**5\/30 + 95*f**4\/24 - 133*f**3 + 1633*f**2\/3 - 2116*f\/3 + 291. Determine o, given that v(o) = 0.\nAnswer: 1, 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (734*s - 37*s**4 - 734*s)*(5*s - 4 + 4 + (0 - 1 + 2)*(-s + 4 - 4) - 2*s - 3 + 3).\nAnswer: -74*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(80))\/sqrt(4))\/(1*sqrt(4)*-5) - ((-3*sqrt(125))**2 - sqrt(125)*1).\nAnswer: -1125 + 26*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 65 + 603?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 517*a**4*r - 20*a**4 + a**3*r + a**2*r + 31*a*r + 304 wrt a.\nAnswer: 12408*a*r - 480*a + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43958477?\nAnswer: 563, 78079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -r - r + 1, -5*r = -3*f. Suppose 7*l - 12*l - f = 0, 4*g + 5*l = 7. Solve 0 = g*h - 3*v - 12, -5*h = 5*v + 8 + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/7)*g)\/g**(2\/5)*g**5*g*g**(-6\/5)*g)**(34\/9) assuming g is positive.\nAnswer: g**(9146\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.031 + 2.931. Let d = -5482415.099957 + 5482418. Let p = d - y. Round p to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 272, 842, 1940, 3740, 6416?\nAnswer: 10142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, x: 3, o: 1, a: 3, t: 5}. Give prob of picking 1 t, 2 d, and 1 a.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -89 + 20 - 7 + 31*v. What is the tens digit of t(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11229 rounded to the nearest one hundred?\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7\/(-2) - -2) + 11740\/40?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126197387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = -5*l + 5*t + 128, 0 = t + 3. What is the third smallest value in -1.4, l, 0, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3202 (base 8) to base 14\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 60384 - 943*h**2 + 171*h + 943*h**2 - 60384.\nAnswer: -h**3 + 171*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 8 = 4*m. Let h(x) = 4*x**2 - 9*x + 2 - 2*x**2 - x**2. Let a be h(9). Solve 0*l - 5*c - m = -3*l, 4*l + 12 = -a*c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.91 - 120.\nAnswer: -119.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1201685 is divided by 2618?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j + 5 = -35*j. List the prime factors of (-854)\/(-56) + j\/4.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 364 and 733068.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 4*b**2 - 3. Give d(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -1124*m**3 - 157*m**2 + 40*m + 9. Let a(j) = -2*j**2 + 8*j + 1. Let l(x) = -5*a(x) + i(x). Find the third derivative of l(c) wrt c.\nAnswer: -6744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*t - 56*t + 10 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -6 (c) -0.2 (d) -41\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2*1*16. Let p = -1252 + 1257. Solve p*g = 3*x + r, -4 = g + 2*g - 4*x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 494\/1169 + 1\/167. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -147, -79, -29, -9, -31?\n\"Answer: -2*m**3 + 3*m**2 + 73*m - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 5:27 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -20*j**2 - 823*j + 4461. Determine m(-46).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 5)*(0*i**3 + 3*i**3 - i**3)*(-14*i + 21*i + 17*i) to o*i**2 + d*i**3 + j*i**4 + p + f*i and give j.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/4 and 29\/2956.\nAnswer: 2956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.644 rounded to two decimal places?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2. Let g = 3 - 0. Put 4, g, o in increasing order.\nAnswer: o, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-899 - 437 + 192)*(-2 + 2 - 2*l).\nAnswer: 2288*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w + 1. Let q be p(1). Suppose -q*l - 24 = -5*l. Let j be (9\/(-2))\/((-1)\/8). What is the highest common divisor of l and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 1008*z - 6048. Let g be n(6). Solve g = 13*o - 18*o - 40 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 8131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 144259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -83 (c) 0.4 (d) 1\/4 (e) 0.6 (f) 2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*h - 23*h + 17*h in the form x*h + b and give x.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k - 3. Let s be o(3). Suppose -3*g - 33 = 3*p, 2*g + 2*p + p + 19 = 0. Let y = s - g. What is the highest common divisor of y and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 506, 855, 1038, 1049, 882?\n\"Answer: -q**3 - 77*q**2 + 587*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397554 + 96142 = 19*w. Is 57 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -106*f**2 + 116*f**2 - 7*f**2. Let s(n) = -2*n - 467. Give s(i(m)).\nAnswer: -6*m**2 - 467","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.49 + -109?\nAnswer: -190.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (0 - (24 - 4)) - (50 + -55)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -6\/215 (b) -1\/6 (c) 1\/7 (d) 5 (e) -2.3 (f) -3 (g) -3\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h - 36 = -246 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/2*14\/(-6 - -5). What is the derivative of -11972*u**3 + 116 - n*u**4 + 11972*u**3 wrt u?\nAnswer: -196*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*u + 290, -195 = 2*u + 4*r - 7*r. Let o be (-44)\/u - (-4)\/(-3). Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1. Let g(d) = -44 - 44 - 2*d + 87. What is g(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 - 44*v**3 + 41*v**3 + v**2.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -n + 1374, 0 = -2*n + 5*b + 100 + 2648. List the prime factors of n.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d. Suppose -4*l = -l - 9. Let w(r) = r**l + 0*r + 5*r - 3*r. Let x(g) = 8*o(g) + 3*w(g). What is the second derivative of x(u) wrt u?\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62*c + 186*c - 2 - 53*c - 52*c - 89*c**2 wrt c?\nAnswer: -178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h - 2*t + 6, 3*h - 12 = -4*t. Suppose 5*a - 15 = h, -3*g - 24 = -6*g - 2*a. What is the highest common factor of 12 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 2.845011?\nAnswer: 0.5690022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000037637 rounded to seven decimal places?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 3*g + 15, 5*x + 2*g = -15 - 1. Let v be (4 + -4)\/x - 0. Put 6, v, -5 in ascending order.\nAnswer: -5, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*((-4)\/(-90))\/(28\/20).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/2 + 4)*0. What is the least common multiple of (-9)\/(-15)*(5 - m)*1 and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -8 + 3. Let a = -56 + 53. What is the biggest value in a, r, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - -1100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*k**3 - 80*k - 99*k**3 + 82*k)*(-1 - 2 + 1) + 25*k**3 + 48*k**3 + 3*k**3.\nAnswer: 348*k**3 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3033022 (base 4) to base 7\nAnswer: 53440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1835?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**2. Let s(z) = -z + 16. Let i be s(11). Let q(w) = -3*w - 2*w + 2*w + i*w. Determine m(q(u)).\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16657 - -40070. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/28*(-42)\/9\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {u: 2, b: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 1. Let b = -14 - a. What is the smallest value in b, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8536734 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (4 + 0 - 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*d - 116 = -149. Is -4\/53 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 0, -3, -13, -109?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(n\/(n\/(n\/(n**(-7)*n))))*n*n*n**7*(n**(2\/3)\/n)\/(n**(3\/2)*n)*(n**(1\/5)*n**(2\/5))**42 assuming n is positive.\nAnswer: n**(791\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 5*c + 3. Let g be f(5). Suppose 31 = -g*b + 2*n, b + 23 = -2*b - 2*n. Let o = 30 + b. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 28*c - 84. Let r(f) = -9*f + 24. Let x(u) = 7*r(u) + 2*s(u). Let w(o) = 27*o**2. Determine x(w(v)).\nAnswer: -189*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19370496 by 2.\nAnswer: 9685248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -0.0559189, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 14*i**5\/5 + 4530*i**4 + 3878*i**3 - 4530*i**2 - 19404*i\/5 = 0.\nAnswer: -1617, -1, -6\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssf when three letters picked without replacement from fsfssfssssfsfsss?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57 and 421059.\nAnswer: 421059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 - (2*-2 + (-2 - 0)) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -164942?\nAnswer: 6\/82471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/233096 and -15\/116548?\nAnswer: 233096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2758851*w**2 + 2791168.\nAnswer: 5517702*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -195379 by -9.\nAnswer: 195379\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o. Let m be 10 - 1152\/116 - 114\/(-29). Let v(t) = -30*t - 2. Calculate m*x(u) - v(u).\nAnswer: 26*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**3 - 36*j**2 - 9*j - 9. Calculate n(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.14 (b) 127 (c) 129516\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -8 (b) 2 (c) -13 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.4, 6774.89, 2\/5 in decreasing order.\nAnswer: 6774.89, 2\/5, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 282 and 186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -4*b - 5*a, -620037*b = -620035*b - 4*a + 26 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 42*t**2 + 352*t + 101. What is k(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51917*d*q**3*r - 2*d*q**3 + 2*d*q**2*r - 8120*d*q*r**2 - d*q*r + 11*q**3*r**2 + 3*q**2*r - 7 wrt q.\nAnswer: -311502*d*r - 12*d + 66*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12885240839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-25)\/i)\/(i*i*(i*i*i\/i**13)\/i*i)*i**(4\/3)\/i**44)**(1\/8) assuming i is positive.\nAnswer: i**(-91\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 - 103907*p\/2 + 259780.\nAnswer: -(p - 5)*(p + 103912)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -337 + 502. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84 + 81.95. Let f = 0.1 - 0.05. Let l = z + f. Is l at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (26 - 20 - -16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 1\/3, 0.5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353720 is divided by 88411.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 272*z + 12. Let m(r) = -3*r**2 + 21*r + 3. Let i be m(7). What is the units digit of k(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(1 + sqrt(320)))**2 + sqrt(320) - sqrt(320)*2*2) + 2 + ((sqrt(320) + -1)*-4 + sqrt(320))**2*-3.\nAnswer: -3550 + 808*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25\/2 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*t = -2*t + 93472. Is 58 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, s: 2}. Give prob of picking 1 s and 2 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -137036511*d*u**3 + 27*d*u**2 + 114*d*u - 2*d - 2*u**5 - 11*u**2 - 3 wrt u?\nAnswer: -822219066*d - 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/2)\/(r*r*r\/r**(2\/33))*r**19*r\/r**(-20) assuming r is positive.\nAnswer: r**(2413\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s**6*s)))\/s)\/s**2)\/(s**17)**(-2) assuming s is positive.\nAnswer: s**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1526 divided by 5\nAnswer: -1526\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 6 - 11) + -14 + (1 - 60)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 + 94. Suppose 0 = 4*i - 9*i + y. Let r(s) = -s**3 + 5*s**2 + 5*s - 5. Let d be r(i). Which is smaller: d or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-378)\/(-504)*4\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**4\/4 + b**3 - 3*b**2\/2 + b + 1. Suppose 4*p + 3*w + 4 = 0, -2*w - 2*w + 16 = 0. Determine k(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/2 - 7\/14. Which is smaller: -2\/3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.06 + -4. Round n to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*j + 115 = 20*j + 615. Sort -0.4, j, 4, -0.5, -1\/3 in decreasing order.\nAnswer: 4, -1\/3, -0.4, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -829356 - 350513 = -17*p - 184026. List the prime factors of p.\nAnswer: 58579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 16 = -0*x - 3*x, -x + 12 = 3*r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 3098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51686 + 254501863\/4924. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -2*t - 2 - 1\/4*t**2 - 1\/48*t**4 - 1\/8*t**3. Let a(y) be the first derivative of k(y). What is h in a(h) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 134 - 129. Suppose -771*s + 781*s = 40. Suppose -2*z + 0*z + 34 = 0. Sort s, c, z.\nAnswer: s, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -317714 (base 10) to base 3\nAnswer: -121010211012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1681, 4023, 10387, 22783, 43221, 73711?\nAnswer: 116263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 18, s: 1}?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -2, 43, -1, 187 in descending order.\nAnswer: 187, 43, 1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(2\/5)*u)\/u)**47\/((u**(-4)\/u)\/((u*((((u\/(u*u**(-1\/9)))\/u*u)\/u)\/u)\/u)\/u)) assuming u is positive.\nAnswer: u**(3479\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - 147*p - 40166. What is a(183)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 20*g**2. Let c(x) = 24*x**2 + 3157*x. Determine c(n(q)).\nAnswer: 9600*q**4 + 63140*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 - 13?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 14, -1, 3, 5 in decreasing order.\nAnswer: 14, 5, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u = 25*u - 5*p + 770, -u = 3*p - 385. What is the third derivative of -3 + 2 + 77*k**6 + u*k**6 - 241*k**6 - 166*k**2 wrt k?\nAnswer: 26520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148 = -5*w + 22*l - 251, -7 = -3*w - 4*l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - s + 2 = -3*s, 0 = 2*r + s - 8. Solve -2*k + 11 = 5*z - r, k = -2*z + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -7*s**2 + 25*s + 335. Calculate a(-9).\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/6)\/(((h*h**6)\/h)\/h*h)*(h**(-1\/6)*h)\/(h\/h**(-1\/7)*h))**(-16) assuming h is positive.\nAnswer: h**(2512\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 8*v. Let n(m) = -2*m. Let i be n(-2). Is l(i) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 4)*3\/6. Factor -11*x + 12*x**2 - 21*x**3 + 20*x**3 + n*x**2.\nAnswer: -x*(x - 11)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1040 + -320. Suppose 4*o - 5*o - 273 = 0. Let k = o + w. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -328260 * -2\nAnswer: 656520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7*l + 19. Let v be s(-14). Let i(r) = -v + 117 - 18*r**2. Let x(n) = -n**2. Give x(i(z)).\nAnswer: -324*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 9. Let n be z(-17). Let t = n - 178. Does 24 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-246)\/(-48) + (-3)\/24. Solve 5*a = z*f, a - 30 = 5*f + 2*a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197423825?\nAnswer: 5, 2239, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13, -33, -63, -103, -153, -213, -283?\n\"Answer: -5*b**2 - 5*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*m + 46, 0*m + 5*m = -y + 59. Let c = 2001 + -2022. Let r be 6708\/c + m\/(-21). Round r to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*s**5 + 2*s**3 + 82*s**2?\nAnswer: 420*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3.46, -2\/9, -0.5, -34, 0.33?\nAnswer: 3.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)*t)\/((t*t\/t**0)\/t*t)*t**4\/(t*t*t**(3\/4)*t)*(t**4*t*t)\/(t\/(t**4\/t))*t*t\/t**(2\/7)*t*t*t**(-1)*t assuming t is positive.\nAnswer: t**(279\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - (12 + 2)) + 0. Let g(h) = h**3 + 10*h**2 + 2*h + 20. Let m be g(f). Suppose -a + 2*r = -8 - 0, m = -5*a - 5*r - 20. Solve 0 = -a*z + 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -463*j = 592*j - 960*j + 4370 for j.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 2 + 30*k**3 + 3848*k**2 - 3846*k**2 to the form q*k**2 + w + a*k**3 + y*k and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*r + 9*r + 6453. Is (7\/56 - 0) + r\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 13. Let f(n) = -2*n**2 + 3*n. Let s be f(3). Calculate the remainder when a(s) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + (1 + 0)*2856\/(-36). Let s = t + 24835\/291. Let g = -2 + 3. Which is greater: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 11:57 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s + 23. Give m(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 89\/3. What is the third smallest value in 2\/3, a, -1\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22284 by -3.\nAnswer: -7428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6*u + 21. Let j(a) = a + 4. Let h = 22 - 20. Give h*d(f) - 11*j(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p - 19. Let m be v(-12). Solve -m*t = -z, 18 = -t + 3*t - 4*z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-1 + 5 + -9 + 6). Sort 5, 27, r, -25 in increasing order.\nAnswer: -25, r, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/4 - 35589*w\/2 - 422192307\/4.\nAnswer: -3*(w + 11863)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 922*y + 2*y**2 + 922*y.\nAnswer: 2*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 7:37 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -91?\nAnswer: -8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = n + 4*n. Let x be -2 + n + (-4)\/(-1). Let j be (32\/6)\/(x\/(-375000)). Round j to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c42 - 1?\nAnswer: -c43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - m + 3. Let x be i(0). Let y = 5 - x. Suppose -4*j - 5*f = j - 5, y*j - 22 = 3*f. Let t(r) = -r**3 + 6*r**2 - 4*r - 4. Determine t(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124436 and 364?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -19*l**8\/24 - l**5\/10 + l**4\/24 - 37*l**2 - 2. What is the third derivative of d(z) wrt z?\nAnswer: -15960*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 3963019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(245)*-3 + (sqrt(180) - sqrt(180)*-1*-5))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u**(2\/7)*u*u)\/((u*u**(2\/5)*u)\/u))**(1\/15)*((u\/(u**(-2\/7)\/u*u*u)*u)\/u*u**0\/u*u)\/(u*(u*u**(1\/4))\/u)**32 assuming u is positive.\nAnswer: u**(-20714\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25734456 by -66.\nAnswer: -389916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 0. Suppose -3*j + 2 = -m. Let n(q) = 14*q. Is n(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 15*s = 0. Let x be (-1)\/(4\/(-72) - s) - 4. Solve 7*z = -x - 21 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 5:37 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22864999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -49*t**5\/60 - 2*t**3\/3 + 3*t**2 - 2. Find the first derivative of h(y) wrt y.\nAnswer: -98*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403775 is divided by 16823?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*l + 16 = 0, 3*l - 2*l - 4 = -2*b. Suppose -b*q = -5 - 11. Factor -4*j - 5*j**5 + 4*j**q + 2*j**5 - 4*j**2 + 4*j**5 + 3*j**3.\nAnswer: j*(j - 1)*(j + 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-39)\/52)\/((-3)\/8). What are the prime factors of (0 - c - -4) + 28?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 47 = -26*v + 22*v, v - 7 = -5*c. What is the remainder when 126 is divided by 2\/8 + -5 + 441\/v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21371509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 3 = 4*u + 4*l, 2*l = -4*u - 2. Let m(y) = -8*y**2 - y**3 - 6*y - 3 + 11 + u. Let b be m(-7). Is b >= 2\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4901\/2805 + 12\/85. Let c be (1326\/(-20))\/3*510\/68. Let n = 13667\/84 + c. Find the common denominator of g and n.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.3*0.16\nAnswer: 0.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6731117?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.1, 1, -0.5, 0.054, 155 in descending order.\nAnswer: 155, 1, 1\/3, 0.1, 0.054, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3608 and 1817288.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*o + 5*a, 0*o + 2*o - 3*a = -4. Suppose -7*f + 3*g + 6 = -3*f, -f - o = 2*g. Solve h + f*h = 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x**2 + 61*x + 2*x**2 + 250*x - 11*x**2.\nAnswer: 2*x**2 + 311*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 2*c**2 + 21*c - 1. Let v(n) = 12*n**3 - 22*n**2 - 262*n + 11. Calculate 22*o(m) + 2*v(m).\nAnswer: 2*m**3 - 62*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -1746012\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8054, 2\/5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**2. Let t(v) = -3*v**2 + 4. Let l(p) = -2*p**2 + 3. Let s(d) = -4*l(d) + 3*t(d). Determine s(w(g)).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1058463?\nAnswer: 3, 7, 53, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 393, 388, 371, 336, 277, 188, 63, -104?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*t + 1797, -2*t - 3*w + 710 = -0*t. Let a(g) = -361 - 4*g + t. Let y(q) = 13*q**2. Calculate y(a(h)).\nAnswer: 208*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1252433 (base 6) in base 15?\nAnswer: -157e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Does 1689 divide 20968935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25828418?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/63 and 155\/8058?\nAnswer: 169218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2921 by -127.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 82*n**4 + n**2 + 19*n - 9751 wrt n?\nAnswer: 328*n**3 + 2*n + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - ((-13)\/(-26))\/((-1)\/2086). Let f = v + -5193\/5. Calculate the common denominator of f and 119\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*g - 4*g + 3173 - 3173.\nAnswer: 21*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 736357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/4 - 57*n\/4 - 69.\nAnswer: 3*(n - 23)*(n + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -4\/5, -2, 5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -4)*(-1 - 10). Find the third derivative of k**2 - r*k + 3*k**6 + 11*k wrt k.\nAnswer: 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 821701261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**4\/8 + 231967*z**3\/8 - 1681565027*z**2 + 10088868243*z\/2 = 0 for z.\nAnswer: 0, 3, 115982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*r - 21 = 0. Suppose 0 = -4*u + 9 + r. Solve u*z - z + 5 = -n, -3*n - 14 = 5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 5*u - 17 = -7, -2*r - 3*u - 25 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 18 = 2*m, 19*r - 103*m + 104*m = 27 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11852 - -11866. Put -35, -5, l in descending order.\nAnswer: l, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 600 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3498755 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 94*k**2. Let p(m) = -307847*m. What is i(p(w))?\nAnswer: 8908358888446*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 332, 201, 0 in decreasing order.\nAnswer: 332, 201, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -17414\/42891?\nAnswer: -17414\/42891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6*g + 35. Calculate k(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/15 and 137\/750.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1178, 1182, 1196, 1226, 1278?\n\"Answer: i**3 - i**2 + 1178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 25 = -5*f, 2*u - 10 = 6*f - 9*f. Let d be ((-4)\/6)\/((-4)\/(-96)). Let o = 13 + d. Put o, u, -11 in increasing order.\nAnswer: -11, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*p - 6 - 1 + 7 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 23 - 8 - -25\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 168*c**2 - 64*c - 64. Let i(f) be the third derivative of 2*f**5\/15 - f**4\/8 - f**3\/2 - 405*f**2. Calculate 3*h(b) - 64*i(b).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**2 - 24. Let g(z) = 2*z**2. Calculate f(g(j)).\nAnswer: 12*j**4 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**2 + o**2 - 3*o**2 + (-1 + 5 - 2)*(0*o + 0*o - 2*o**2) + 19*o**2 + 1 - 2 - 17*o**2.\nAnswer: -o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -740 - -2231\/3. What is the common denominator of -21\/127 and m?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 7*z**2 - 2*z + 3. What are the prime factors of l(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (7 + -4 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4 + (-5*(sqrt(833) + -1))**2) + -5)*6.\nAnswer: -750486 + 12600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2089\/3 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*f = -0*c + 26, -c = -5*f - 15. Suppose 4*y = -d + 7, -c*y + 7*y = -2*d - 4. Suppose 0 = 4*z - s - 14560, -s + 16 = y*s. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52918275 divided by 52655\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 22 + -24 + -18 - (-4 + 31).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 8:46 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 30?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -448 and -21.48.\nAnswer: -469.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 423510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16 - 1d?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -562*s**3 + 66*s**2 + 3*s - 14. Let g(c) = -281*c**3 + 32*c**2 + 2*c - 6. Let x(r) = -7*g(r) + 3*o(r). What is the third derivative of x(w) wrt w?\nAnswer: 1686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = x - 555, -4*x - 2*w + 2335 = w. Suppose x = 2*i + b + 62, -5*i + 1290 = 5*b. Calculate the highest common divisor of i and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40748252507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 548936023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 1479?\nAnswer: 13311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 2. Let j(k) = -k**2 + 2. Let h be j(-2). Let m be f(h). Suppose m*n + 2*n = 80. Calculate the greatest common divisor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20\/1019 or -1?\nAnswer: 20\/1019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3\/3 - 602*k**2 + 64490*k\/3 + 241746 = 0.\nAnswer: -937, -9, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 29*p + 29. Calculate u(25).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z**3 + 25*z**2 - 42*z + 787. Give v(7).\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-420)\/(-8820))\/((-10)\/(-28)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwr when three letters picked without replacement from cwcwwrcccw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 6*m**2 + 2*m - 8. Let p be f(6). Solve 2 - 10 = p*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(-3)*3408\/7952. Suppose -3*h + h - 7 = i, -i - 13 = 5*h. What is the closest to -0.1 in i, -39, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*b + 101 = 2*q - q, b - 39 + 12 = -3*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -6 - -12 - (31 + -24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3060200 + 59651.7?\nAnswer: 3119851.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 1931094*f - 310760336403.\nAnswer: -3*(f - 321849)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**2 + 3*m - 1. Let w(k) = -2*k**2 - 4*k. Let b(q) = -3*q**2 - 4*q. Let n(i) = -5*b(i) + 4*w(i). Let g(x) = 2*n(x) - 3*z(x). Give g(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 11:46 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 18 = 2. Suppose 4*m = -5*t - 5, 0*t + 5*t - 10 = -m. Put j, -1, t in decreasing order.\nAnswer: j, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/6 - 2)*-6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f + 5229 = 4129 for f.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -612062?\nAnswer: 1\/612062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66738 divided by -33369.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322829610.\nAnswer: 2, 3, 5, 23, 467869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128604?\nAnswer: 2, 3, 7, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*j + 124 = 0, -4*t - 74 = -7*t + j. Suppose -32*l = -38*l + t. Solve -10 = -f + 3*s, l*f = f + 5*s + 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 104 + -104.522. Let p = -0.42 - u. Let d = p - 0.055. What is d rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nunejega. Give prob of picking 1 j, 1 e, 1 a, and 1 n.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 3456636030?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**2\/2 + 7*j - 6. Let n be m(-4). Let d be (3\/(-2))\/(6\/(-8)). Solve 1 = -n*k + 2*c, d*c = k + 4*c - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 22*g - 52. Let z be y(-18). Let l(c) = -c**2 - 4*c - 7. Let i be l(-6). Let h = 29 + i. Calculate the greatest common divisor of z and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63607 minus 2.624?\nAnswer: -63609.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4)\/h**(-4\/3))\/(h*h**(2\/7))**(-7\/6) assuming h is positive.\nAnswer: h**(37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -2*s - 22, -3*v + 5*s = -1306 + 1283 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 0.3 (c) -4 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**2*k**3 + b**2*k**2 + b**2*k + 759*b*k**3 + 13*k**2 wrt k?\nAnswer: -6*b**2 + 4554*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 225964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1256 is divided by 321?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**32*f*f)\/((((f*f**33)\/f)\/f)\/f))\/(f**(-8\/5)*f**23*f) assuming f is positive.\nAnswer: f**(-97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 3*p**2 + 2*p + 9. What is k(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -794.25376 and -7.\nAnswer: -801.25376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*u**2 - 21*u**2 - 129*u**2.\nAnswer: -123*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 9:22 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k - 1. Calculate x(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 3*y = 12, -2*x = 4*y - 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 17*b**2 - 3*b - 14. List the prime factors of o(-10).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50 by 2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 60\/9 + 56\/(-21). Solve 4*t + 28 = q*l, -l - 5*t - 11 - 6 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 5*b - 130, -4*t - b + 138 = t. Suppose 0 = -3*p + 57 + 867. What is the greatest common factor of t and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1601?\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 10, t: 9}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-2 + (1 - -9) + -3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/(-228))\/((-3)\/(-2))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) -0.5 (c) -3 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - (-4)\/((-6)\/3). List the prime factors of g*(82\/(-4))\/(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 62 = -0*u. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109859 divided by 25.\nAnswer: -109859\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**5\/40 + 85*s**4\/8 + 171*s**3\/4 + 280*s**2 - 1. Factor a(r).\nAnswer: -3*(r - 171)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0, -0.3, -14 in descending order.\nAnswer: 0.3, 0, -0.3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 233*d**8\/56 + 19*d**4\/12 - 2*d**2 + 2*d + 140. Find the third derivative of w(i) wrt i.\nAnswer: 27960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 25, -6, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 167693*r**3 + 397013*r?\nAnswer: 1006158*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 7*p**2 - p + 1. What is r(2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*a - 10*a + 20*a)*(84*a + 64*a + 487*a) in the form t*a + s + g*a**2 and give g.\nAnswer: 19050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (-29 + 28 - (-8 + (7 - 4))).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 19. Let t = 6 + j. What is the units digit of t\/(-6)*36\/(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -146, -152, -162, -176, -194, -216, -242?\n\"Answer: -2*d**2 - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 29*f**2 + 22*f + 320. Calculate v(-31).\nAnswer: 1560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2. Let s(p) be the third derivative of p**6\/80 + p**4\/24 - p**2. Let d(o) be the second derivative of s(o). Give d(r(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19513.\nAnswer: 13, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2 = -a. Suppose 0 = 5*z - z - 16. What is the derivative of -u - u + z*u - u - a wrt u?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74545\/6 + -12425. Let k = -213\/1300 - -1\/100. What is the closest to i in -3, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -204 + -13911?\nAnswer: -14015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 37 + 5278\/(-145) - -94*2\/(-380). Which is the second biggest value? (a) 1\/5 (b) -94.6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 73. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16147\/6 + 2697. Calculate the common denominator of x and -15\/38.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 5*g + 0*g)*(2 - 6 + 2).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.117 * 642.7\nAnswer: -75.1959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 = u - 53*k - 166 - 168 + 74, 4*k = -28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 18. Suppose 4*b + v = -5*w, -3*b + 6*b + 10 = -5*w. Suppose b*p + 6 = 5*t - p, p - 6 = -t. Solve l = 2*y + 10, 2*y + 0 = -l - t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.44 - 3.56. Let o be (2\/6)\/((-14)\/18). What is the smallest value in o, j, 2\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13468539 by -62067.\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -4*t - 5, 3*t + 0*j + 5*j + 8 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 735*k + 731*k = 17, r + 3*k = -11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - (-26 - (28 + -47) - 117).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 2*l + 380. Let c(s) be the second derivative of s**4\/2 + s**3\/3 - s**2\/2 - 2*s. Let y be c(-2). Calculate the highest common divisor of y and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**5\/2 + 7*t**4\/12 + 2*t**3\/3 + t**2 - 365*t. Let h(z) = 3*z**3 + 2*z**2 + z + 1. Determine 2*a(s) - 7*h(s).\nAnswer: -s**3 + s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25.227 - -0.473. Let l = w - 26. What is the closest to l in 2\/9, -4, 1\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 430 - 831. Let a = s + 6062\/15. Let h = -352312\/39 - -9032. What is the common denominator of a and h?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 147030069713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + 80. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 9:31 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 7*f**2 - 3*f - 5. Let x be o(6). What is the greatest common factor of x and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(168)\/(sqrt(24)\/sqrt(4)) + ((sqrt(448) + 1 + 3)*-6)**2.\nAnswer: 2306*sqrt(7) + 16704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - 1. Suppose -3*a - 6 = -0*r - 2*r, 4*a - 2*r = -6. Sort 1, t, a in descending order.\nAnswer: 1, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*s**3 + 284*s**3 - 135*s**3.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -76 (base 13) to base 14\nAnswer: -6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -45253, 10, 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 17*i**2 + i + 52. Let m(n) = 6*n**3 + 25*n**2 + n + 4. Let x be m(-4). Is b(x) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3))**(1\/36) assuming z is positive.\nAnswer: z**(1\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, 2\/7, -4 in ascending order.\nAnswer: -137, -4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005980955 rounded to 7 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 2*v**2 - 9*v + 10. Let o be h(5). Let d = 23 - o. Let y = d + 69. Calculate the remainder when y is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*(f**0\/f)\/f)**(2\/51)*f\/f**2*f**3)\/((f**4\/f*f*((f\/(f**(-1)*f))\/f)\/f)\/(f*f*f**(-1))**(-31)) assuming f is positive.\nAnswer: f**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k - 2. Let y be t(-2). Let z(w) = 2*w - 1. Let d be z(2). Solve -4*q - p + 1 = 0, -5*q + d*p = -y*p + 30 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q**3 - 17*q**2 + 3*q + 4. Let m(o) = o**3 - 4*o**2 + o + 1. Let c(p) = 9*m(p) - 2*v(p). Let j be c(-3). Let n = -3 - -5. Which is smaller: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1107*j**5 - 5*j**3 - 10325*j**2 wrt j?\nAnswer: -66420*j**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jijr when four letters picked without replacement from jdribubbbijd?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -55781 divided by 1\nAnswer: -55781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 601853, 601858, 601865, 601874?\nAnswer: 601885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125 (base 15) to base 11.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grgplryryy. Give prob of picking 2 g.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/154*10\/(-4). Let z = 3\/14 - n. Which is smaller: -0.2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1514*q - 1196*q - 3309*q.\nAnswer: -6019*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 937 and 246431.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -16, -1, -2, 4 in descending order.\nAnswer: 4, -1, -2, -8, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (10 - 1 - -1) + -123 + 30?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 17454 and 0.3?\nAnswer: 17453.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 0*f**3 + 0*f**2 + 0 - 2*f + 1\/6*f**4. Let c(m) be the second derivative of -m**4\/6 + 2*m. Determine t(c(h)).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*y**3 - 62 + 11*y**3 + 12*y**3.\nAnswer: -y**3 - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -5*b**4 + 965*b**3\/3 - 5880*b**2 + 2880*b + 15. Let r(c) = 0. What is c?\nAnswer: 1\/4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291, -282, -259, -216, -147, -46?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2618.703261 rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*h + 7. Let j(u) = 49*u**2 + h - u - 49*u**2 + 2*u**3. Let o(t) = -t**3 + t - 1. Calculate -j(v) - o(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 33*m**2 - 63*m + 38. Let j be i(31). Let y be (-2 - (-1 + 2)) + -2. Let z = y + j. Sort z, 1, 1\/4 in descending order.\nAnswer: z, 1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*m**3 + 28341009*m**2 - 28341009*m**2.\nAnswer: 52*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1296 - -1301. Let d(n) = -19*n. Let c(p) = -48*p. What is m*c(y) - 12*d(y)?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, u: 10, p: 1, k: 1, h: 1, x: 1}. What is prob of picking 2 u, 1 k, and 1 h?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1437)\/(-6)*(-18)\/63*-91 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -236475*b. Let t(d) = -1630*d. Determine t(p(l)).\nAnswer: 385454250*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120b (base 14) to base 15.\nAnswer: -dec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.872*11056.5.\nAnswer: -20697.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1965318529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/12 - (-12675)\/1950.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1c7a6 (base 15) to base 11\nAnswer: -63845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -29 - 25. Let t = x + 35. Calculate the greatest common factor of t and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -148*q + 743. Let w be c(5). Solve 28*i = w - 31 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 638 + -635. Let k(y) = -2*y + 9. Give k(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13086 - -13089. What is the fifth biggest value in 4, -1, y, -1\/9, -100\/7?\nAnswer: -100\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2 = 4. What is the third derivative of 2*y**4 - 2*y**4 + 7*y**b - 8*y**2 - 2*y**5 wrt y?\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 3 + 0 + 1 - (-3566 + 3549)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1678256 + c - 16478*c**2 + 1678256 - c.\nAnswer: -16478*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -105*m**3 + 48*m - 49*m - 108*m**3 + 212*m**3. Let i(s) = -14*s**3 - 6*s + 3. Calculate i(d) - 6*t(d).\nAnswer: -8*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*k**3 - 8704535*k**2 + 269856586*k?\nAnswer: 24*k - 17409070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = s + 3, -71 + 67 = -2*v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -4, -17 in decreasing order.\nAnswer: 4, -4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2047872.\nAnswer: 2, 3, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -16*x**2 + 87*x - 5. Let g be u(3). Calculate the greatest common divisor of g and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5030 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p - 4. Suppose -d + 3*u - 21 = 0, 16*u - 19*u = -4*d - 39. Let y(s) = -s**2 - s - 1. Determine d*y(r) + m(r).\nAnswer: 6*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 191019 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 2*l - 147 = 0. Suppose -5*a - l*a + 18720 = 0. Calculate the highest common factor of 45 and a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 0*r + 12. Let o be -3 - (r\/(-2))\/(-2). Solve o*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.8824 and -2.\nAnswer: -3.7648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 257*q**2 + 2*q. Let y(i) = -156*i - 266. Give y(g(r)).\nAnswer: -40092*r**2 - 312*r - 266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from omahmbp.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 177731 and 223.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 422823442 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*l + 7 = 0, -8 = 2*z + l - 4. Suppose -134*j = -144*j - 1230. List the prime factors of ((-39)\/(-9) + -4)\/(z\/j).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -16. Let a = -10.5 - c. Let g be (-235)\/(-40) + -3 + 3*-1. What is the closest to 0.1 in a, -2\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q**2 + 1206 - 1206.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 217*g + 2. Let y(n) = 0*n - 9*n - 3*n. Determine r(y(h)).\nAnswer: -2604*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -541243470*a**2 - 244628397*a wrt a?\nAnswer: -1082486940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-604)\/1661)\/(0 - (-228)\/(-22))\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*z + 2*a - 8, -a = -z + 2. Solve 0 = -s + 6*s - z, 2*c = 2*s - 12 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(20\/(-12))\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-2)*-10 - -1. Suppose o - 6 = x. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2158063716?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10433 is divided by 948.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1306957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 164 = -24. Let p = x + -51. Let l = -25 + p. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -19*f**3\/6 - 109*f**2\/2 + 3*f - 7. Let j be i(-6). What is the smallest value in 3, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/3744 and -149\/48?\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 1141.79?\nAnswer: -1130.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59680504 divided by 4590808.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxkhddh. Give prob of picking 1 h and 1 d.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and -14.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -200 - -1088?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from {b: 2, v: 1, c: 9, x: 7}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/((-6)\/26) + 26 + -27. Suppose x*g + 2*g = 3066. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nnnbzbnnzbnnb?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -676*x**2. Let j(f) = 3*f**2 + 19*f + 5. Determine j(p(l)).\nAnswer: 1370928*l**4 - 12844*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21)\/(-15) - 2\/5. Let q = 6 - n. What is the first derivative of -2*x**2 + 0 + q + 0*x**2 wrt x?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 + 2*m + 4. Let f be d(-3). Let h = f + -30. Sort h, -3, 5 in increasing order.\nAnswer: h, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24157 by 12.\nAnswer: 24157\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12116, 11260, 10404, 9548, 8692?\nAnswer: 7836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2077962 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + 1 + -5 + sqrt(180) + 0 + -3 + (sqrt(180) - (5 + sqrt(180)*1 + sqrt(180))) + sqrt(180) + -5)*-4)**2.\nAnswer: -6528*sqrt(5) + 16144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*sqrt(7) + 1 - sqrt(700)*-2)**2.\nAnswer: 44*sqrt(7) + 3392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -288 divided by 24.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 11*b - 2. Let s be h(-8). Let i = s + -11. Calculate the remainder when 31 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 12 = 4*i - 30 + 4, 6*i = -4*y - 27 + 97 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004347 rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125821349.\nAnswer: 37, 3400577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 445131212 (base 6) to base 7\nAnswer: 125464622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10085 = -142*c + 137*c. Let x = c + -1294. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 8) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 93*i**5 + 600*i**4 + 201*i**3 - 306*i**2 = 0.\nAnswer: -6, -1, 0, 17\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 2677 - 2677 - 2*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-15 - (-24 + 11))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 4 + 3)**2.\nAnswer: 42*sqrt(11) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6298 - 6299. What is the third smallest value in w, 3, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64611043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2205\/630)\/(4\/(-2)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528*z = 468*z - 282*z + 687*z - 119085 for z.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2628*229\nAnswer: 60.1812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15556949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 62014191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11155)\/(-8924) - 27\/4.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(3\/10))**47\/((a**(3\/14)\/a)\/a*a**(-31)))**(-5) assuming a is positive.\nAnswer: a**(-1641\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2223 - -2220. Let s = -39 + 40.1. What is the closest to -4 in s, 1\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l + 3*l - 56*l**2 - 13*l.\nAnswer: -56*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/49 in 2, 0, 1, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -12*z + 167. Solve -o = -25*w + 28*w - 7, o - 5*w = -z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1532433230 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/9 + 26*y\/3.\nAnswer: 2*y*(y + 39)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4563844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 t when three letters picked without replacement from ytytyyyyy?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -775156023 to the nearest one million.\nAnswer: -775000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015341 rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25598 - 25597. Let l be (-2)\/6 + 66\/(-18). Which is the second smallest value? (a) l (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.3 (c) 2 (d) 0.1 (e) -4 (f) 19365\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*h, y - 5*h = -3 - 3. Suppose 13*q = y*q + 480. Suppose 3*m = 2*i - 2*m - q, -4*i - 5*m = -180. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -897*l**5 + 571*l**2 - 4. Let u(k) = -897*k**5 + 571*k**2 - 5. Let r(m) = -5*i(m) + 4*u(m). What is the third derivative of r(w) wrt w?\nAnswer: 53820*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (1 + -5 - 3). Let q = s + 61. Let a = q + -27. Calculate the remainder when a is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6*m + 13*m + m**2 - 8*m + 3 + 1. Let g = 68 + -38. Suppose 0*i = 4*i - t + 45, 0 = -5*i - 4*t - g. What is o(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*n + 96*n - 8316 = -192*n + 43*n for n.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11020551 and 63799?\nAnswer: 11084350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/9048 and 163\/171912.\nAnswer: 171912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 654861995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5432 = -240*f + 9992 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -86\/3801 and -53\/9.\nAnswer: 11403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-778)\/4*1)\/(16\/(-32)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-66)\/18)\/11 - 12\/(-9). Are h and 631 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5*1\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13)\/(-5) - (-4)\/10. Suppose -d*q + c - 6 = -2*c, 4*q - 3*c = -8. Let y = q - -6. Solve -m = m + y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/7, -18741, 1\/5, -1, -1\/5, 2\/9, 2\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36614 - -220805\/6. Let z be (-2)\/(-11) + (-14844)\/88. Let d = c + z. What is the common denominator of d and 54\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s - 10. Let w(x) = 3. Give -b(h) + w(h).\nAnswer: -6*h + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 42107, 84250, 126411, 168590, 210787?\n\"Answer: 9*t**2 + 42116*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - (10 + -13))*(-20)\/(-12). Solve 7 = -q*r - f, 5*r - 7*f = -10*f - 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 193*s - 1900. Let p be v(10). Solve -8*i = 2*w - 5*i + 13, 5*w = -5*i - p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153.7*28\nAnswer: 4303.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/10 + 69\/15. Suppose -k*o + 7 = -3*o. Is (-1603)\/(-49) - (-2)\/o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -795*n**3 - 835*n**2 + 5*n + 75. Let t(i) = 199*i**3 + 209*i**2 - 2*i - 20. Let a(w) = -15*t(w) - 4*y(w). Factor a(p).\nAnswer: 5*p*(p + 1)*(39*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 + -61. Solve 0*u + z*u - 13 = -5*s, -5 = -5*u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 0*z**2 + 14*z + 148 - z**2 - 2*z**2 + 2*z**2 + 0*z**2 - 21*z**4. What is the first derivative of b(i) wrt i?\nAnswer: -252*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5626*t**3 + 5627*t**3 + 50*t - 219*t.\nAnswer: t**3 - 169*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 950 and 190?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2685 + 2974. Calculate the remainder when v is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142, -280, -418?\nAnswer: -556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 4*j - 7*j. Let k = j - 5. Calculate the lowest common multiple of 2 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -574, -576, -572, -556, -522, -464?\n\"Answer: n**3 - 3*n**2 - 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 - 1\/2. Suppose -4*l + l = 5*d + 40, 4*l = -3*d - 46. Let i be 0 - 6\/l - 1. What is the nearest to -0.2 in 2\/3, s, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15685692?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 42. Suppose -4*g = 3*d - 53, -r*g = 6*d - d - 91. Solve 3*l + 7 = d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 116 = -26*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 10709*b - 53480. Calculate w(5).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*y = 6468 + 2361. What is the highest common divisor of y and 9774?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12720 + 12915. Calculate the lowest common multiple of 31 and d.\nAnswer: 6045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4028 - -8409. Calculate the remainder when n is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l - 1774 - 1586 = -13458. Which is greater: 2145\/7 or l?\nAnswer: 2145\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/108*20\/50*-18?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29 and 126.\nAnswer: 3654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-87 + 82 - 394\/(-78)) - -1?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32854 is divided by 280.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13386 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-466)\/176 + 2. Let p = y + 5\/22. Find the common denominator of p and 28\/17.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -105 - -24. Let q = 82 + h. Which is the closest to q? (a) 0 (b) -1\/4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2130531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vng?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2541 and 32802.\nAnswer: 360822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 l, and 1 d when four letters picked without replacement from {d: 2, h: 2, e: 1, l: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*o**4\/5 + 866*o**3\/5 + 12558*o**2\/5 + 49158*o\/5 + 11988 = 0 for o.\nAnswer: -74\/13, -3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5401 and 539?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13.8*-2\nAnswer: -27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 25840*t**2 + 155175*t - 232830.\nAnswer: -5*(t - 3)**2*(t + 5174)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**2 + 5*j. Let u(n) = 2*n**2 - 4*n + 1. Let x(d) = 4*a(d) + 5*u(d). Let g be x(0). Solve 2*s = -2*i + 2, -2*i - i - g = 5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1576*y + 1689*y - 1808 = 0 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*5*(sqrt(539) + 1) - (1 + ((sqrt(539) - (2 + sqrt(539)) - sqrt(539))*1)**2).\nAnswer: -519 + 147*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(4032))\/((sqrt(16)*-1)\/sqrt(4))*-5.\nAnswer: 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/25617 and 25\/6.\nAnswer: 51234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.0877 (b) 3\/13 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23759.234 - -23761. Sort 5, t, 0.3 in descending order.\nAnswer: 5, t, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/((-4)\/(-5)) - 3. Is ((-636)\/(-15))\/(k\/5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8378670 and 667?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllrlffllflllll. Give prob of picking 2 f and 1 r.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3322 (base 4) to base 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.637466 kilometers to meters.\nAnswer: 6637.466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + -1)*3\/((-36)\/(-16)). Suppose 9*a + g + 6 = m*a, -4*g = -5*a - 26. Let u(c) = 2*c - 1. Determine u(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(-2*u - u - 3*u) + u - 2*u - 3*u - 3*u - 3 + 0*u + 2.\nAnswer: -13*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(1300)))**2.\nAnswer: 32500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 16 = 2*w. Let i = -2 - w. Let b be ((-48)\/i)\/((-12)\/(-40)). Is 17 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 112*u**2 + 148*u**2 - 101*u**2 + 193*u**2 + 166*u**2 as j*u + f*u**2 + n and give f.\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -462, -2017, -4586, -8163, -12742, -18317?\n\"Answer: i**3 - 513*i**2 - 23*i + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 - -2 - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/(sqrt(9)*-1))\/(sqrt(8) - (sqrt(8) + sqrt(16)\/(sqrt(2) - sqrt(2)*-2))).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139c1c (base 14) in base 6?\nAnswer: 22324454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*(-4 + sqrt(242)*2*4 + -5)*-2)**2.\nAnswer: -57024*sqrt(2) + 560483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24870 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*v - 4 - 298*v - 133*v - 139*v + 4 + 717*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11555 is divided by 196.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 25. Let b be 4\/(g + -1) + -2. Let o(k) = 7 + k**3 - 3 - k**2 + 0. Give o(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 159*v - 475. Calculate n(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -1 (c) 0 (d) -2\/23 (e) -5 (f) 629\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.2 + -9.2. Let x = -12 - k. Which is the second smallest value? (a) x (b) 0.3 (c) 8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.15 - -0.35. Which is the second biggest value? (a) y (b) -1\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 - -41. Let v = 1 - 1. Let o = v - k. Which is the closest to 0? (a) -4 (b) -0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/(-2))\/((-3)\/(-6)). Let u = 3 - 1. Let r = -492\/7 - -70. Which is the nearest to r? (a) 2\/9 (b) y (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b + 33. What is the remainder when 128 is divided by a(0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -9*t - 1. Suppose 4*o + x = 4, x + 2 + 2 = 0. Suppose 2*u - 4 - o = d, d + 12 = 5*u. Let m be 14\/28*(0 + d - 0). What is i(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**2\/2 - 1. Let c(n) = 2*n**2 - 6*n + 6. Let q(x) = 5*x**2 - 14*x + 14. Let b(p) = 7*c(p) - 3*q(p). What is b(u(t))?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-812)\/319)\/(24\/594).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 475 + 285 = 0. Let t be -2 - (285 + 0 + 1). Find the common denominator of 1\/5 and 112\/t*g\/7.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 10) to base 15.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - -3. Let b(p) = 2*p + 11 + 3 - 29*p**3 + 30*p**3 - k*p**2. List the prime factors of b(10).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 + -67.85. Let u = i - 5.2. Which is the third smallest value? (a) 0 (b) u (c) -2\/9 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -2*x - 20. Let y be (-3)\/x + (-6)\/(-8). Suppose y = -4*a + 23 + 21. Calculate the remainder when a is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7015342011.\nAnswer: 3, 2338447337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*t**2 + 65*t - 30*t - 35*t.\nAnswer: -65*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -77*h + 3467. What is t(66)?\nAnswer: -1615","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -297909 divided by 3771\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299183 is divided by 11505.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15366602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -12038.\nAnswer: 11\/12038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 53*u + 1327. Give v(-23).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - 4*y + 3. Let z be p(2). Solve s = z*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + (37 - 37 - 49).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -91.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 7*o + 8. Let c(h) = 9 - 1 + 384*h**2 + 389*h**2 - 772*h**2 - 5*h. Calculate the lowest common multiple of c(3) and v(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71850958 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216633620 divided by 15473830.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1335 by -267.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 936 + 1336 = 8*p. List the prime factors of p.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, -3, -2, 61 in increasing order.\nAnswer: -69, -3, -2, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9\/5, -0.2, -2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/10*(-70)\/(-21). Solve 12 = d*c - b, -2*c + 2*b + b = 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 a factor of 6140196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebhiheehebh. What is prob of picking 1 e, 2 b, and 1 h?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*z - 5*p - 592 = 0, 0 = -198*z + 202*z - 4*p + 32 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 12:00 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5\/2 + -17\/8. Let y = 13.24 + -10.24. Let w = 443\/4 - 111. What is the smallest value in w, y, n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736698758?\nAnswer: 2, 368349379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c (base 16) to base 2.\nAnswer: 101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -111 or -114?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3557107.4 rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 176.3 + -176. Let p be (-3 - 1) + 4*(-3)\/(-4). What is the closest to n in -2\/11, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2091989 or -2091985?\nAnswer: -2091989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -32770, 2, 0 in descending order.\nAnswer: 2, 0, -1, -32770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 514 - -67772. What is the ten thousands digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 221 divided by -221\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 2) + -2 + (-4 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 4*a - 210 = -78, -3*g - 3*a - 19*a - 156 = 5*a for g.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 13*q**2 - 14*q - 18 + 6*q + 25*q - 17 + 10. Let a(c) = 3*c**2 + 4*c - 6. Give 9*a(h) - 2*o(h).\nAnswer: h**2 + 2*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 618, 1084, 1424, 1644, 1750, 1748?\n\"Answer: l**3 - 69*l**2 + 666*l + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23310002131 (base 4) to base 2.\nAnswer: -1011110100000010011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 32. Let x(t) = 4*t**2 - 83*t**3 + 2*t**5 + 16*t**4 + 6*t**5 - 4*t + 87*t**3. Let r(y) = y**4 + y**2 - y. Let j(b) = k*r(b) - x(b). Factor j(g).\nAnswer: -4*g**3*(g + 1)*(2*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 10) to base 8.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**2 - 7 + 4*d**2 + 7. Let p(c) = -c - 1. Let t(a) = -16*a - 8. Let r(s) = -8*p(s) + t(s). Calculate r(k(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (4 + -2) - 1) + 0?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12280 divided by 5\nAnswer: -2456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3950 + 33*d - d**4 - 2703 + 2528 - 7*d with respect to d.\nAnswer: -4*d**3 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (33\/(-15) + 1)*(-130)\/78. Solve 3*k - 5 = -m + f, m - 3 = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 104 = 2*z, 4*z = -k - 0*k + 17. Let g be (0 - 0) + (-180)\/(-10). What is the common denominator of g\/20*k\/(-40) and 21\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 - 13*f**2 + 10*f + 15. What is r(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74173907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 492 + -490. Determine l, given that 3 + 1\/3*l**q - 2*l = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.235*-11\nAnswer: 2.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (868\/112)\/(2\/8). Let r = t - 8. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106461 and 783?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2881480 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + 235. Suppose -d = 7*v - 716. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-6)*(7\/((-56)\/(-9)))\/(186\/(-992)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 16*u**2 - u - 6. What are the prime factors of x(5)?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(21)\/sqrt(3) - (-5 + sqrt(567))**2)*4.\nAnswer: -2368 + 348*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 9*t**2 - 17*t + 2. Let l be b(-6). What is the tens digit of l\/32 + (-6532)\/(-32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101000001001 (base 2) to base 9\nAnswer: 3464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 7:43 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 15*i**2 - 17*i - 10. Determine g(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**22\/y)\/((y**(1\/3)\/y)\/y) assuming y is positive.\nAnswer: y**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 10508*i + 1. Let j(r) = 25*r**2. Determine v(j(x)).\nAnswer: 262700*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y. Let u(w) = 3*w**2 - 145*w - 1. Give u(h(l)).\nAnswer: 12*l**2 - 290*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -1. Let u(b) be the first derivative of -2*b**3\/3 + 2*b + 1. Let m(f) = -5*d(f) - u(f). Differentiate m(p) wrt p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(19) - (sqrt(19) + -3*(2 + sqrt(19)))).\nAnswer: 6 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 - 38*n - 29. Let o be f(20). Let d(r) = 15 - o - 3. Suppose 4*x = -4*p - 8, -p + 0*p - 3 = 0. Let k(i) = -i. Calculate x*d(b) - k(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163 + -63 - (54 - -2).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.44 in -31, -0.4, 3, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 89928\nAnswer: -35971.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1884 divided by 6335?\nAnswer: -1884\/6335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 150117213 by -6.\nAnswer: -50039071\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1002 divided by -2.\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 - 58. Calculate the smallest common multiple of 0 + (-2 - -3)*18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -480 at most as big as -277643\/577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -13*k - 2. Let p be f(1). Let l = p - -10. Is ((-6)\/l)\/((-8)\/(-740)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**5\/50 + 3*x**4\/10 + 14*x**3\/15 + 11*x + 1. Factor p(v).\nAnswer: 2*v*(v + 2)*(v + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 6\/11, -6, -0.11, 4?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54613 is divided by 1750.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3266989*n**2*p**2 - 3*n**2*p + 81*n**2 + 712*n*p + 1 wrt p?\nAnswer: 6533978*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -153*j*m**2 + 2*j*m + j + 5*m**3 - 91 wrt m.\nAnswer: -306*j*m + 2*j + 15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(4\/7))\/((t\/t**(-12))\/t) assuming t is positive.\nAnswer: t**(-73\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2926 and 1135288.\nAnswer: 1135288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -892, -3055, -6772, -12133, -19228?\nAnswer: -28147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1526 + 1547. Solve b*g - 32 = 29*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/11 or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 122*j + 722. What is g(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 25*x**3 - 2*x**2 + 2*x - 1. Let h be v(1). Let s = 242 - 236. Calculate the greatest common divisor of h and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + p + 0*p)*(-p**2 + 2*p**2 + p**2)*(1147*p**2 + 321058 - 321058) + (-2*p**3 + 0*p**3 + p**3)*(-p - p**2 + p).\nAnswer: 6883*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1865, -16065, -30265, -44465, -58665, -72865?\n\"Answer: -14200*i + 12335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9211639 rounded to the nearest ten thousand?\nAnswer: 9210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1237 + -1172. Calculate the remainder when 452 is divided by z.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.88 + -1.88. Let u = 1 + -1.2. What is the closest to -1\/4 in 1\/4, u, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + -3 + (sqrt(567) - (sqrt(567) + 3)) + -5)**2 + 0.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 11 = 5*f, -2*f - 74 = 15*d - 128 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 126442373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-3*4\/(-6)). Suppose 2*n = -o*n + 20. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 980220243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m. Let y(r) = 8*r + 3. Let p(a) = -3*u(a) + y(a). What is p(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppksk. Give prob of sequence ks.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012000 + 1?\nAnswer: -1011222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -906 - -30805\/34. Put -0.3, 1, -1\/6, t in increasing order.\nAnswer: -0.3, -1\/6, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 11*l**2 - 6*l + 6. Let v(n) = 22*n**2 - 11*n + 11. Let r = 10 - 21. Let i(h) = r*m(h) + 6*v(h). Let o(s) = -s**2. Give o(i(t)).\nAnswer: -121*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1223 (base 6) to base 3\nAnswer: -102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4430929546 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*i - 18, -5*i - 27 = 2*c - 3*c. Suppose -c*q - 2 = 2. What is the tens digit of (q - -1)\/((-2)\/30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*p, p + 4 = k - 3*p. Let d(l) = -l + 15. Let a be d(k). What are the prime factors of (-1176)\/(-54) + 6\/a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3390899, 3390896, 3390893?\nAnswer: 3390890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -116\/51 at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2*c + 21*c - 7*c.\nAnswer: 12*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 70 = 16. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36478, 73699, 111676, 150409, 189898, 230143?\nAnswer: 271144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k - 1 - 12*k + 8*k. Let o(q) = 5*q - 1. Give -3*o(g) + 7*v(g).\nAnswer: -g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**4 + 2508*v**3 - 2358774*v**2 + 985967532*v - 154550410641 = 0.\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 6:50 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -15455*b - 15. Let g(x) = 1104*x + 1. Calculate -85*g(o) - 6*h(o).\nAnswer: -1110*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28\/71 + 4245\/142. Let j be (-708)\/(-4)*5\/(-15). Find the common denominator of (j + 1)*(25\/(-60))\/5 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2849\/272 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-6))\/((-5)\/30). Let x(r) = r**2 + 2*r + 1. Let n be x(s). Calculate the greatest common factor of n and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308 + 266 - 201 - 3*a + 4*a.\nAnswer: a - 243","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16329092?\nAnswer: 2, 13, 314021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(2*sqrt(77) - sqrt(77) - sqrt(77)))\/(sqrt(44)*2))**2*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 131150 - -20?\nAnswer: 131200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4\/359 + 21189\/718. Find the common denominator of ((-213)\/4)\/(6\/(-4)) and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 239b - 3977?\nAnswer: -1598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -88*m**2 + 2*m + 3. Let k be o(2). Let z = -246 - k. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 5*x - 24, 0*z + 3*z + 18 = 3*x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**2\/2 - a + 5. Calculate x(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/6 (b) 18 (c) -0.1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + 213301323?\nAnswer: 213302002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -344 - -348.4. What is h rounded to one decimal place?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 5*f - 28 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -159663.99832106 + 159664. What is f rounded to 5 decimal places?\nAnswer: 0.00168","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*b + 42*r - 44*r, -3*b = 3*r - 27. Suppose -12*d = -5*d - 77. What is the lowest common multiple of d and b?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*c**3 - 23*c**3 + 75*c**3 - 2*c - 83 as w*c**3 + s*c**2 + r*c + k and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 4\/5*p**5 - 4\/3*p**2 - 1\/9*p**6 - 13\/6*p**4 - 35 + 8\/3*p**3 + 0*p. Solve k(c) = 0 for c.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 1 - -3) + 2 - 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4289 less than 2311.91?\nAnswer: 6600.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q**2 + 15802*q**3 + 16277*q**3 - 32069*q**3.\nAnswer: 10*q**3 + 20*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from faa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 52 = 18*l. Suppose -5*z + m = -l*m + 5, 2*m = -5*z + 23. Suppose s - 5*a - 46 = 62, -4*s + 364 = -z*a. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 2 + 0*c + 0*c + c**2. Let p(r) be the second derivative of -r**4\/6 - r. What is t(p(i))?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 30\/37, 3, 6.61, 2, -2?\nAnswer: 30\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 328*b**4 - 3*b**2 - 2*b - 330*b**4 + (-2*b + 1 - 1)*(b**3 + b**3 + 0*b**3))*(9*b + 0*b - 15*b).\nAnswer: 36*b**5 + 18*b**3 + 18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 5. Let n be p(11). Let s(j) = j**2 + 4*j + 2. Let m be s(n). Which is the smallest value? (a) 0 (b) m (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 715057, 715056, 715055, 715054?\nAnswer: 715053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200 and 9850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-3\/10)*g**(-7))\/(g*g**6\/g*g**2) assuming g is positive.\nAnswer: g**(-133\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -7*d + 3*d, -4*i + d = -7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -11 + 12 + -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 9 - 6. Suppose n = 4*m - 59. Calculate the remainder when m is divided by (2\/3)\/(6\/81).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + 158. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 - 11766?\nAnswer: -12005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.1957508s in days?\nAnswer: 0.000118006375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6 = -4*c. Let w be ((-2)\/c)\/(2\/(-254)). Let b = w - -258. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.7651869um?\nAnswer: 0.0000007651869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -29.32?\nAnswer: -117.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 10. Let a = 2 - t. Solve a*h - 2*i - 2 = 0, 18 = -4*h - h - 2*i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/53))**(-7\/2)*(t\/(t\/t**29))\/t**23 assuming t is positive.\nAnswer: t**(325\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 599024369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22251 + -96151. What is t rounded to the nearest 1000?\nAnswer: -74000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 278428144 to the nearest integer?\nAnswer: 16686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2101, 2094, 2065, 2002, 1893, 1726?\n\"Answer: -2*h**3 + h**2 + 4*h + 2098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q. Let y(z) = 38969*z. Give y(k(c)).\nAnswer: 38969*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 129 divided by -43\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-14)\/(-8)*((-2240)\/2156)\/(-40)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5650173 rounded to two dps?\nAnswer: 5.57","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: 3 * 6348\nAnswer: 19044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2604 + 2541. Suppose 2*m + 6 = -4*u, 0 = 3*u + u - 4*m + 12. Find the common denominator of 0 + (-85)\/(q\/(u + -1)) and -151\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 20 = 4*j + 3*l, -5*j + 19 = -l. Let o be 2 - (-6)\/(j + -1). Let d(f) = -f**2 + 4*f + 4. Let z be d(4). Sort -8, o, z in decreasing order.\nAnswer: o, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*i + 156*i - 3*y + 17 = 0, 5*i - 7 = -3*y. Sort 29, 0.3, i, -2, 0.5 in increasing order.\nAnswer: -2, i, 0.3, 0.5, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (84\/30 - 2)*5*5 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**2 + 8*k - 18*k**2 + 13*k - 22*k.\nAnswer: -25*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-7)\/(819\/1807)\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 1. Let z(h) = -h + 4. Let q(r) = -8*r**2 - 8*r + 46. Let w be q(2). Give w*p(v) - z(v).\nAnswer: -2*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 x when three letters picked without replacement from {x: 3, f: 17}.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.8 (b) 2655\/2 (c) -0.044\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 44*t - 1. Let g be i(-5). Let l = -56 - g. Suppose -5*a + l = -5*d, d + 2*d = a - 33. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -18*o - 234. Is 3 a factor of q(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 91 + f?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2 + sqrt(2736))**2 + (sqrt(2736) - (2*sqrt(2736) + 2)**2) - (3*6*2*sqrt(2736)*-4)**2)*-1.\nAnswer: 60*sqrt(19) + 56741907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1107006 is divided by 553210.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.394633 less than -60?\nAnswer: -59.605367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5, 14, 23, 32, 41?\n\"Answer: 9*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -113*z**2 - 11. Let f(s) = -57*s**2 - 6. Suppose -5*p - 33*p + 72 = -56*p. Give p*c(a) + 7*f(a).\nAnswer: 53*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l = 2*c + 16, 2*l - 4*c = 22. What is the biggest value in 1\/2, 0.4, 4\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 r when three letters picked without replacement from urrmmumu?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (115 - (56 - 29))\/((-2)\/2330). What is d rounded to the nearest one thousand?\nAnswer: -103000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 20*j - 4 - 13*j + 4 - 3. Let y(g) = -2*g**2 - 35*g + 23. Let b be y(-18). Give i(b).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2*l = 7, 0 = b + 2*l - 4 - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43.035 - 0.035. Let f = -38 + d. Which is the closest to 5? (a) f (b) 4\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - -43. Suppose -w = 0, -k - w = -0*k - j. Solve -k = 3*d - 4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -1\/3*n**3 - 1\/2*n**4 - n**2 + 3*n - 27. What is i(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 9*i**2 - 9*i + 7. Let f be 5*1*(-8)\/10. Let l(k) = k**3 + 1. Let o(x) = f*l(x) + w(x). Find p such that o(p) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**4\/2 - 1300*v**3 + 2603*v**2\/2 + 2601*v = 0.\nAnswer: -2601, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(1\/2)*c)**(-19\/3)*(c\/c**(-2))\/(c\/(c*c**(-1\/7))))\/((c**(-2\/11)\/(c**6\/c))\/(c*c\/((c\/(c**(-3)*c))\/c*c)*c*c*c**(1\/3)\/c)) assuming c is positive.\nAnswer: c**(-6373\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-seven fifths of a kilogram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-11)\/((j*(j*j*j*j**(6\/7)*j*j)\/j)\/j*j))**9*(j**(-1\/4)\/j)**37\/(j*j\/((j\/j**1)\/j)*j)**(-44) assuming j is positive.\nAnswer: j**(-615\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -16 - 3 + 31*w + 5 - 35*w. List the prime factors of h(-16).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4914 greater than 4950?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65.47 + -64.87. Put -5, 0.06, 0.17, a in decreasing order.\nAnswer: a, 0.17, 0.06, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-6))\/(4\/32). Suppose -w*g + 72 = 5*l, l + l = -3*g + 33. Suppose 0*f - f - 3 = 0, 5*o - 5*f = 240. What is the remainder when o is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -7a1?\nAnswer: -79b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 17*c**2 + 1. Let m(s) = 4*s**2 + s - 2. Let g be m(2). Suppose -g = -l - 5*h, -2*l - 4*h + 3 = -11. Is 9 a factor of o(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - ((-4)\/(-4) + 18). Let d be (52\/5)\/((-1)\/15). Let x be (d\/(-10))\/(6\/v). Round x to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -396*a**2*q**3 - a**2*q**2 - 114*a**2 - a*q**2 wrt q.\nAnswer: -2376*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 9 - 16 = n, 5*n - 5 = -3*b. Let s(x) = 6. Let t(q) = q - 7. Let c(k) = 5*s(k) + 4*t(k). Determine c(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffcffffffcff. What is prob of picking 1 c and 3 f?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.041 and 0.11.\nAnswer: 0.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a - 4*a)*(0 - 2 - 12) - 5 + 5 + a + 2*a + 1 - 1 + (-2 + 1 + 2)*(-a + 5*a - 2*a) - 2*a + 2*a - a + (6*a - 4*a + 0*a)*(1 - 3 + 4) - 1 + 2*a + 1.\nAnswer: 38*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52824969 to the nearest integer?\nAnswer: 7268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2979500 to the nearest 10000.\nAnswer: 2980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1126721221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -164 - -381. Let b = 219.01 - l. Let p = -2 + b. Is p at most as big as -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1588 times 16977?\nAnswer: 26959476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-8)*(3 - -1). Suppose 2*s + 6*y = 2*y + 204, -c*s = -y - 554. Suppose -f - s = -2*f - 3*k, -4*f + 4*k = -472. Is 20 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 339 - 61a?\nAnswer: -2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332904?\nAnswer: 2, 3, 11, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4883 is divided by 1624.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.37 + -1.37. Sort f, 5, 9 in ascending order.\nAnswer: f, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 + -25)\/((-15 - -7)\/8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139095227?\nAnswer: 109, 1276103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1781841*k**6 - 570768*k**2 wrt k.\nAnswer: 213820920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 29730.\nAnswer: 118920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1022100 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1252, 2\/13, 2, -0.1, 138?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -72*f**4 + 87*f**2 + 3501*f + 944303003?\nAnswer: -288*f**3 + 174*f + 3501","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60997 = -31*p + 6800. Is 27 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 336 - 316. Factor -4*c - 4*c**4 + 4*c**3 - 33 - a + 53 + 4*c**2.\nAnswer: -4*c*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -124, -248, -372, -496?\n\"Answer: -124*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 5. Let v(m) = -m - 8. Let z be v(-8). Suppose z = -5*l + 5*f - 45, -2*l - 3*f = 9 - 1. Let g = l + 3. Calculate o(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + q - 1. Let z(u) = -3*u**2 + 7*u - 4. Let p(r) = -4*r + 43. Let y be ((-16)\/(-8))\/((-2)\/(-11)). Let x be p(y). What is x*z(l) + 4*d(l)?\nAnswer: -l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 363919 and 782.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/43360 and -87\/8712650.\nAnswer: 139402400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 10 = -4*y, -4*y = -0*k - 2*k + 10. Let m = -108 - -111. Solve -3*q = k*r, -m*q = -5*q + 2*r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1060 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 2\/13, -0.5, 3738?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 0*b**3 + b - b**3 + 1 + 7 - b**2 + 2*b**2. Suppose 33 = 3*y + 51. Is h(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595997 is divided by 2980?\nAnswer: 2977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -11*x**3 + 2*x**2 + x. Let i be s(-1). Suppose 5*c - 4*f - 6 = 0, c = -3*c - 4*f + i. List the prime factors of (116\/6)\/(c\/3).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.1 (b) -2 (c) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49535212 + 49535110.000061. Let p = -112 - -214. Let c = p + m. Round c to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) -0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1005 (base 6) to base 10.\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 9*v**2 - 10*v + 2. Let a be n(-10). Let k be ((a - 1) + 2)\/3. Suppose -3 = 4*p - 11. Solve -p*l = 4*z - k - 3, -4*l = z + 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 40. Which is the second biggest value? (a) 1\/3 (b) o (c) 2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1179801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5 - 102*r**4 - 3 + 12603*r**2 - 12698*r**2 wrt r.\nAnswer: -2448*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48621741?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 5*c**4\/24 + c**3\/3 + 10*c**2. Let x be d(-6). Let t be (2 + -1)\/((-7)\/x). Solve 0*l - 4 = -t*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25559 less than -67?\nAnswer: -25626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, e: 1, m: 2, v: 1, w: 1, n: 1}. Give prob of sequence wem.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 9*z**2 - z - 2. Suppose 8 = -4*w, 2*n - 4*n - 26 = 4*w. Let p be b(n). What is the highest common divisor of p and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -15*l**2 - 2. Let y(s) = -s**2 - s - 1. What is -g(v) + 2*y(v)?\nAnswer: 13*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmqmmmmmmmmmm. What is prob of picking 2 m and 1 q?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 - 357*b\/2.\nAnswer: -b*(b + 357)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 + -56443?\nAnswer: -56420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1653 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-188*l**2 + 188*l**2 - 39*l**3)*(1 - 1 + l).\nAnswer: -39*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 11:13 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50184?\nAnswer: 2, 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42837, -85660, -128483, -171306, -214129, -256952?\nAnswer: -299775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 59 + 10 = 5*v, 5*v - 2*w - 66 = 0. Let t = v + -8. Solve -3*p + 2*l + 25 = -6*p, -t*p + 5*l + 5 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmggcghggcgchwwcwmgw. What is prob of picking 1 w, 1 g, 1 c, and 1 h?\nAnswer: 256\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -81167.0981 to the nearest ten.\nAnswer: -81170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 260816 and 176.\nAnswer: 2868976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 154331\/7 + -22047. Are f and -1.0305 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p*p\/(p\/(p\/p**(-1\/8))))*p*p*p*p\/p**13*(p*p**(-1)*p)**(2\/85) assuming p is positive.\nAnswer: p**(-7549\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -15*j**2 + 520000*j - 6584260 = 0.\nAnswer: 38\/3, 34654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/4 - (-6712)\/16 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-45))\/(8\/(-20)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0028 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*b + 243. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 719*i + 3416 + 2793 + 1700 = 0 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*d - 16. Solve -6 = -3*x, -d = -4*j + 4*x + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 - 9*v**2 - 7*v + 11. Determine s(-7).\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 7*j - 105 = 0. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 23*h**2 - 78*h - 16. What is the thousands digit of u(-25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 2)*((-1 + 1 - c)*(-3 + 5 - 3) - 5 + 5 + 2*c + 3 + 135*c - 124*c - 2)*(-4 + 1 + 6).\nAnswer: -126*c - 9","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4327 - 143?\nAnswer: 4174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from poopooppypootyppot. Give prob of picking 2 t and 1 p.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) 2\/7 (b) 12 (c) 0.2 (d) -16 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2867890, 11471541, 25810960, 45886147, 71697102?\nAnswer: 103243825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117646482.\nAnswer: 2, 3, 3727, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3012\/28975 - -2\/1525. Suppose -4*r + 5*l = 24, -164*l + 23 = -3*r - 159*l. Which is the closest to 0.2? (a) r (b) h (c) 0.6 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -239, -469, -695, -917?\nAnswer: -1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1360.000001185 + -1360. What is i rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2587 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 308019714229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -0.47, -3\/4, 1, -0.61?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 2:01 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 115\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 21 = -3*n, 5*n + 16 + 19 = 4*o. Let r be 2\/n*(-18)\/(-12). Which is the closest to -0.1? (a) r (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 2\/7 (c) 2 (d) 53 (e) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3694*-2\nAnswer: 7388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 10*d**2 - 9*d + 1. Let j be s(7). Suppose 5*o - w - 565 = 0, 3*o + 4*w = -o + j. Suppose 0 = 5*q - 343 - o. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -11 + -3 + 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -354 at least -355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -105. Let a = i + 98.99999671. Round a to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -12\/3097, 3 in ascending order.\nAnswer: -0.5, -12\/3097, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w - 4*w**3 + 3*w + (4*w + w - 2*w)*(9 - 3*w**2 - 9).\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-8)*s*s\/(s\/(((s\/(s\/(s*s*s\/(s**(-9)\/s)))*s)\/s)\/s)))\/((s\/s**(2\/13))\/s**2) assuming s is positive.\nAnswer: s**(93\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.74 and 0.022116448.\nAnswer: 2.762116448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 10*j**3 - 13*j**2 + 4. Let x(p) = 5*p**3 - 6*p**2 + 2. Calculate 6*f(o) - 13*x(o).\nAnswer: -5*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0996 plus -15.92?\nAnswer: -16.0196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.62 (c) -5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 24*q**2 - 2261*q + 247. Let k be l(61). Let u = 5\/9 - 16\/45. Let j = -2.5 + 2. Which is the biggest value? (a) 5 (b) k (c) j (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 26*a - 1. Let q(k) = 7*k - 6441. Determine q(x(u)).\nAnswer: 182*u - 6448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 + 2)\/((-9)\/12). What is the second derivative of 3*c - 5*c + 6*c + 4*c**p wrt c?\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 122 = 2*p. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -5, -1\/9, -10?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-7) + (-2)\/7. Let n = 61 + -64. Sort n, o, -2 in descending order.\nAnswer: o, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(9 - 2\/((-4)\/(-14))). Solve -3*k + 203 - 176 = p for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((56\/(-9))\/8)\/((-56)\/252)*2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -7. Let u = 3.1 - c. Let o = -396 - -395. What is the closest to u in o, 2, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (113424\/893214)\/(160\/18).\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 18707.\nAnswer: -2\/18707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 0)*(-2 + 5 - 1) - 4 + 5 - 2)*(-174*j - 16*j - 114*j + 21*j).\nAnswer: -283*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -28*v - 28. Let g be p(-5). Let k(d) = d**3 + 2*d**2 - 4*d - 3. Let f be k(-3). Suppose 2*c - g + 20 = f. Is 23 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 230 + -238. Which is the third biggest value? (a) 4 (b) x (c) 0.1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 8) in base 2?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -19.2 (b) -5\/4 (c) 4 (d) -3 (e) -4.832\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23.13755 + -0.3.\nAnswer: 22.83755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/5 + (-96)\/(-90). Let y = -15 - -10.9. Let p = y - -0.1. Which is the second biggest value? (a) q (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 - 3*u + 1 + 4*u**2 + 0*u**2. Let f be k(-6). Suppose -5*t + f - 1 = 0. What is the remainder when 34 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1026883 (base 9) to base 6.\nAnswer: -15440420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**2 + 2*y. Let p = -176 + 85. Let n = p - -95. Let b(z) = 3*z**2 - 2*z. Determine n*b(m) + 5*r(m).\nAnswer: -3*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cocccoogcg. What is prob of picking 2 c?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 divided by -3?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 754 is divided by 124.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 b when four letters picked without replacement from hkkbbhhbkkkbhkkkkhvk.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.283816 rounded to 3 decimal places?\nAnswer: -19.284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 2. Let f(n) = n**2 - 1. Let k(b) = -2*f(b) + v(b). Let t(i) be the third derivative of -i**5\/20 + i**2. Give k(t(y)).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11349?\nAnswer: 3, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -100101 (base 2) to base 15\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-644)*(33\/(-286)*-13)\/((-4)\/(-16))?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjrjjjrjjr. Give prob of sequence jj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(42)*4)\/sqrt(7) + sqrt(6))\/sqrt(2).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-7) - 78\/21. Let d be 1\/(-3)*((-120)\/32)\/5. Put 1\/9, d, q in descending order.\nAnswer: d, 1\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -93438661, -93438660, -93438659?\n\"Answer: n - 93438662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 2*h + 605. Does 21 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.0031\nAnswer: 0.00155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31903, -31885, -31853, -31801, -31723, -31613?\n\"Answer: k**3 + k**2 + 8*k - 31913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 192.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -11. Let h = 14 - 10. Suppose -h*b + 20 = -0*b. Solve x = -b*k + 5*n - 15, -3*n + 11 = -k - 0*n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -133 - 311?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, j: 4, y: 2}. What is prob of sequence jyj?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by 553?\nAnswer: -23\/553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 54\/(-180)*(-285)\/18*44. Sort 5, 0.2, u in increasing order.\nAnswer: 0.2, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - -8. Let r = -88.1 + g. Let k = -80.3 - r. Which is the nearest to 0? (a) -1 (b) 4\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 78232737.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d. Let n(g) be the third derivative of 1\/24*g**4 + 28*g**2 + 0*g + 0 + 0*g**3. Calculate n(a(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 12*p**4 + 104*p**3 - 549*p**2\/2 + 216*p - 1808. Factor u(k).\nAnswer: 3*(k + 8)*(4*k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*p + p = 70, 0 = -p - 5. Let c = -4 + l. Suppose 5*g - 3 = c*g. Sort 0.05, g, 5 in ascending order.\nAnswer: g, 0.05, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5*o\/(o\/(o*o*o**1\/o))*o*o)**(-1\/11) assuming o is positive.\nAnswer: o**(-9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9305.622 tonnes to micrograms.\nAnswer: 9305622000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-14) - (-50 - 1640\/(-28))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160, -661, -1540, -2833, -4576?\nAnswer: -6805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + -529\nAnswer: -529.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/117 and -1\/117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2*6.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112568?\nAnswer: 2, 14071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 13 - 1)*(-1 + 6*h**2 + 1) - h**2 - h**2 + 0*h**2 in the form z*h**2 + r + q*h and give z.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42274586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 6*s. Let m be z(4). Suppose -y + m*p + 1 = 3*p, 5*p = -y + 1. Which is the second smallest value? (a) y (b) -5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -34*r**2 - 2078*r - 237. Determine i(-61).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 + 9)\/(2\/6). Solve 4*w = 2*z - 14, -3*w + k*z - 5*z = 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 9*n**2 + 60*n + 328. What is the units digit of t(31)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**2 + 4*p - 6. Let a be j(-4). Suppose 20*x + x = -a. Sort x, 1, -17.\nAnswer: -17, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 8*l + 16. Let k be (-102)\/(-4) - 10\/(-20). Suppose l = 5*f - k. Solve 3*u = -3, t = -4*u - 1 - f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s + 40. Let y be 64\/s*(-10)\/(-4). Let j(i) = -i**2 + 5*i - 1. Let g be j(y). Solve -t = g*t - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 9*s + 5. Suppose 5*x = 3*q - 52, -x = -2*x - q - 4. Let n be v(x). Let r be (-23555)\/673 - (-33)\/1. Sort n, r, 0, 5.\nAnswer: n, r, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -23.23. Let j = -15974.22718 - -15974. Let m = k - j. What is m rounded to four dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -511 + -b1?\nAnswer: -602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/32150417 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 + 50. Find the second derivative of -4*u**v - 2*u**2 - 5*u**2 + 15*u wrt u.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 55*r + 387. Let b be y(-7). Let h be (10\/4*-6)\/(-1). Find the third derivative of 149*k**b - 135*k**2 - h*k**3 - 4*k**3 wrt k.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 43 and 8451.\nAnswer: 8494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 + 26118\/(-378) - ((-2344)\/(-21))\/4.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -468710562 - 17\nAnswer: -468710579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12222 (base 4) to base 2.\nAnswer: -110101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -9. Let i = n + 2. Suppose v + c = -v + 340003, -169985 = -v + i*c. Round v to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 12*y**2 - 35*y + 2. Let r be c(7). Does r = 39\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -q**4\/4 - 3*q**3\/2 + 5*q. Factor p(d).\nAnswer: -3*d*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412 (base 15) in base 8?\nAnswer: 1625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 6. Let u(o) = 2*o**3 - 9*o**2 + 7*o - 4. Let z be u(4). Suppose -z*n + 3*n = 2*r - 12, n + 36 = 2*r. What is the lowest common multiple of r and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1917.0721 to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 5*b + 25, 0 = b - 335*f + 337*f + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, 56\/9, -1\/3, 37, -3\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.420119 kilometers?\nAnswer: 442011.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/(-8) - (15\/(-27) + -3). Which is the third smallest value? (a) -3 (b) 2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7562098, 7562094, 7562090, 7562086?\n\"Answer: -4*c + 7562102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 9615862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 261916877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 723 + -725. Are h and -20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 304, 310, 314, 316, 316, 314, 310?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -31\/29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 6:45 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001001101001111011100 (base 2) to base 16.\nAnswer: -24d3dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 11*i**2. Let z(j) = -6*j**2 + 8*j**2 + j**2. What is z(c(m))?\nAnswer: 363*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + 1 + 35 + -42\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 16*w**2 + 38*w - 33. Is 4 a factor of g(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -800.69 - -803. Let o = -2.309999479 + f. Round o to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 36212546*u**2\/3 - 8047232*u.\nAnswer: -u*(u - 12070848)*(3*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10642967, 10642965, 10642963, 10642961, 10642959, 10642957?\nAnswer: 10642955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-85)\/(-3) - (0 - 3\/(-9)). Suppose 2*v - 18 = i. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 6. Let n be ((-1)\/j)\/(2\/30). Suppose -n*h = 2*y - 37, 0 = -3*h + 4*h + 3*y - 10. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/48)\/(2\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1927 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2423557.5 rounded to the nearest 1000?\nAnswer: -2424000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1572)\/(-2620))\/((-2)\/(-20)*-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 546.7226 millilitres?\nAnswer: 0.5467226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8*((-14)\/(-15) + 84\/(-630)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15511\/5 + 3103. Is x greater than or equal to -3.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 376576000 and 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 267\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3713*m**4 - 4*m**2 + 77*m + 8. Let x(u) = 3713*u**4 - 3*u**2 + 78*u + 6. Let q(o) = 3*l(o) - 4*x(o). What is the second derivative of q(a) wrt a?\nAnswer: -44556*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - -1) + -70 + 68. Let s = 4 - 2. Solve 6*k - t = s*k - 15, -h*k - 9 = t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20504 divided by -5126?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 212 = -14*c. Solve 3 = 6*f - c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 84, 115, 146, 177, 208?\n\"Answer: 31*h + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626 is divided by 158?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 124138227673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -29*k**7\/840 + 7*k**4\/8 - 7*k**3\/3 + 21. Let u(v) be the third derivative of c(v). Differentiate u(i) with respect to i.\nAnswer: -87*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5 - 25 = 0, 4*i = -s + 605. Let t be (2\/3)\/(i\/(-45)). Let k = 201 + -2209\/11. Which is the third smallest value? (a) t (b) -7\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 - -3.02. Let u = 2.6 - a. Let l = 38 - 54. What is the second smallest value in u, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.151965 years to months.\nAnswer: 97.82358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*z**6 - 9662*z**4 + 108*z**2 - 38.\nAnswer: -360*z**3 - 231888*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/((-422)\/633).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 3*z - 23. Let u be b(5). Suppose 19*r - u*r = 16. Suppose 3*d**3 - 7*d**3 - 58*d**5 + r*d**4 + 54*d**5 = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 305280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 151\/(-2) - 15\/(-10). Let i = 114 + d. Calculate the greatest common divisor of i and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 260 - 286. Let n = d + 859\/33. Find the common denominator of -50\/21 and n.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-101283954)\/(-424) + (-18)\/(-6) + (-13)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from nnnnsnssnsssnnnsssnn?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 = -f + 5*t + 19 + 144, 5*f - 3*t - 64 = 0 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -91\/22179 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1cc4b (base 13) to base 7\nAnswer: 325141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 105884870?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 3*j. Let q(x) = -x**2 - 6*x - 3. Let n be q(-4). Let z(i) = -i**3 + i**2 - 3*i. Let m(r) = n*z(r) - 4*c(r). What is the units digit of m(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + sqrt(102)*2*-2 + (sqrt(102) - (sqrt(102) - (sqrt(102) - -3*sqrt(102))*-4)))\/(((2*sqrt(600) - sqrt(600))*-4 - sqrt(600)) + 2*sqrt(600)*6).\nAnswer: -19*sqrt(17)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19612509 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2\/9 (b) 1\/4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(-28)\/42*1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (-2160)\/28 + (-7)\/(-49). Let a be n\/(-5) + 2*-2. Solve a = r - 4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + 1 + 3 + sqrt(1216) + -1)*4)**2.\nAnswer: 18432*sqrt(19) + 702720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 96 + -84. What is the tens digit of 15\/(-10) + (-3)\/(a\/(-710))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-n - 4*n + n)*(1 + 0 + 1)*(-2 + 6 - 2).\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -347*l + 349*l - 6. Solve 17 = 3*u - 2*b + l, 3*u - 5*b - 17 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 take away -72800.1471?\nAnswer: 72799.8871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, y: 2, c: 1}. What is prob of picking 2 y and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48048 and 9997680.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2 - 10*t + 17. Calculate n(3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36216672 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.3 + -33.3. Let j = 29.7 + t. Let b = -4.8 - j. What is b rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21196 divided by 4.\nAnswer: 5299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + i = -19, 3 = -0*u + 2*u - 5*i. Suppose -86400000 = 7*x - u*x. What is x rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14662720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20\/3 or -2052?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1260)\/(-144)*(1 - -35). Let m = -305 + v. Solve -3*i = -i + m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.145 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1979488 and 448?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24549983\/1274 + 19270. Is 0 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3328 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -345, -776, -1207, -1638, -2069, -2500?\nAnswer: -2931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.6191 + 0.1366. Round q to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*h + 3 - 7*h + 19*h.\nAnswer: 40*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*v - 45 = -0*v, -5*z + 150 = -5*v. Suppose 5*n + 5*d = z, n - 16 = -3*d - 5. Let q be n\/5 - -1*(-48)\/(-105). Which is greater: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 45463440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 13) to base 16.\nAnswer: -1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1103 or 1108?\nAnswer: 1108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 2, 4, 3 in decreasing order.\nAnswer: 28, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-6)*136\/(-272).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 540553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5913631.\nAnswer: 5913631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -15*i**2. Let c(z) = -z - 2677. Give c(r(m)).\nAnswer: 15*m**2 - 2677","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 1. Let y be c(5). Let t = 9 - y. Solve -t*v - 15 = -0*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170498 divided by -85249.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/27)\/1*(-12 - 115\/(-10)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*q + 5*q - 220, -2*q = 5*y - 274. Calculate the least common multiple of y and 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**2 + 4950*k + 4945 = 0. Calculate k.\nAnswer: -989, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60446*m**2*n**3 + 458*m*n + 16*n**3 + 1694*n**2 + 4*n + 4 with respect to m.\nAnswer: -120892*m*n**3 + 458*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 10*p - 19. Determine u(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-37 - -22) + (3 - -8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 8:33 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 11*r - 1. Suppose 13*h - 3*h = -40. Let c(g) = -4*g**2 - 20*g - 10. Let z be c(h). Calculate y(z).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -27*n + 45. Does 57 divide l(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 + 52*z**2 - 394*z**2 + 0*z**3 - 677 + 663 - 680*z**2.\nAnswer: z**3 - 1022*z**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -223, -4, 2 in descending order.\nAnswer: 2, 0.2, -4, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 3. Let d(x) = 8*x. Let w be d(-1). Let v be r(w). Let f(y) = 4*y + 14. Let b(z) = -2*z - 7. Let p(m) = 5*b(m) + 2*f(m). Determine p(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9038, 8935, 8642, 8063, 7102, 5663?\nAnswer: 3650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 10 + 10 + -20.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c**2 + 10*c**2 + 8*c**2 + 14*c**2 + 14*c**2 + 8284 - 8284.\nAnswer: 37*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*g - 44*g + 27*g - 15*g to v*g + x and give v.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.878499 nanometers in millimeters?\nAnswer: 0.000006878499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 58*q + 316. Let t be i(52). Solve t*w - 3*b = -20 - 1, -3 = -b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 12\/25 of a century?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -5, -100050 in increasing order.\nAnswer: -100050, -5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 + -48. Suppose -o*f + 20*f = 135. Let c = 8 - 5. Calculate the highest common factor of c and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11643, 11680, 11741, 11826, 11935, 12068, 12225?\n\"Answer: 12*q**2 + q + 11630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4764 and -1.1?\nAnswer: -5240.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 6:21 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*d + 11. Suppose -3*j = 138*p - 141*p - 111, j - 5*p = 37. Calculate the remainder when j is divided by 126\/d - 2\/(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u - 8. Let r(q) = -10*q - 25. Let w(y) = -7*o(y) + 2*r(y). Let f be w(22). What is the highest common divisor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, -20, -5, -0.22, 0.15, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-120)\/(-2 + 5) + 2. Let l = f - -60. Calculate the least common multiple of 12 and l.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -953, -1210, -1911, -3278, -5533, -8898?\nAnswer: -13595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -10. Suppose q + 6 = -2*p, -2*p = s*p + q + 9. Let n(u) = -4*u**3 + u**2 + 3*u + 2. Let g be n(p). Solve 0 = -l - g*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -78*s**3 - 7*s**2 + 4*s + 1. Calculate k(1).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k - 1. Let a(q) be the second derivative of 3*q**4\/4 - q**3\/3 + 21*q**2\/2 + 30*q. Let w(m) = a(m) - 2*i(m). Differentiate w(d) wrt d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-42)*0)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 844608, 844611, 844620, 844635, 844656?\nAnswer: 844683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 1 + 40\/21*j**3 - 1\/6*j**4 - 100\/21*j**2 + 1\/210*j**5 + 18*j. Factor s(u).\nAnswer: 2*(u - 10)**2*(u - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -5 (c) -1\/3 (d) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -773 + 1877. Let d = a - 1105.214. What is d rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21975517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**3 - 84*n**2 + 7*n - 209. What is w(28)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*a - 9*a - 3*a**2 - a**2 to the form g + y*a**2 + z*a and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(3\/22)*h**(29\/4)*((h**(-3\/8)\/h)\/((h**(-1\/2)\/h)\/h))\/((h\/(h**(-3\/4)\/h))\/(h\/(h\/h**0))) assuming h is positive.\nAnswer: h**(507\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 13922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77020 is divided by 2140.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnhffhf. What is prob of picking 2 f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 110*m**2 + m - m + 281*m**2 + 3 - 145*m**2 as t + u*m**2 + z*m and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 764*k - 1619*k + 863*k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 145*x**2 + 8511*x - 20367. What is o(-61)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = -3*v + 64. Solve 0 - 8 = v*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 11:14 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2227, 5504, 8783, 12070, 15371, 18692?\n\"Answer: o**3 - 5*o**2 + 3285*o - 1054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*4*2\/(-8). Sort 7, 2, f, 5 in decreasing order.\nAnswer: 7, 5, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 13 - 43 = 5*j. What is the nearest to j in -1\/4, 11, 3\/10, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (450 - -64)\/(2\/23)?\nAnswer: 23, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 8*y**2 + 19*y + 12. Let n be s(10). What are the prime factors of ((216\/(-2))\/n)\/(10\/(-30))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69793932 + -4\nAnswer: 69793928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*d - 3 = 8*q, 5*q + 5*d - 5 = 0. Suppose 0 = 4*g + 6*m - q*m - 1588, 0 = -3*m - 12. Does 19 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 h, and 1 g when four letters picked without replacement from {q: 1, c: 4, v: 2, g: 3, h: 3, s: 3}?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.422 and 16.15?\nAnswer: 15.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 7 = 9*d. Put -5, d, 1 in ascending order.\nAnswer: d, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r**2 - 5*r**3 - 13*r**2 - 32*r**2)*(-r**2 - 3*r**2 + 3*r**2 - 3*r**2 + 0*r**2 + 2*r**2 + r**2 + r**2 + 0*r**2 + (-4*r + 4*r - 2*r)*(r - 3*r + 0*r)).\nAnswer: -20*r**5 - 148*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9872477.\nAnswer: 31, 318467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 - -47. Suppose 4*i - 33 = -u. Suppose -25 = -5*r, 2*c - 5*r + 9 = -2*c. Sort i, c, -5 in ascending order.\nAnswer: -5, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1508 and 186615.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c - 3. Let i(l) = -l + 1. Let s(n) = 6*i(n) + u(n). Determine s(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l + 3*l**3 + 8*l**4 + 0*l**2 - 5*l**3 - l**2 + 2 as g*l**4 + z*l + j*l**3 + s*l**2 + v and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7401, -7446, -7501, -7572, -7665, -7786, -7941, -8136?\n\"Answer: -u**3 + u**2 - 41*u - 7360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -6.9.\nAnswer: -3.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12320 (base 5) in base 15?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, k: 2, j: 2, e: 2}. Give prob of picking 1 r and 2 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**3 + 2*u**2 + 3*u + 3. Let p(z) = -3*z**3 - 2*z**2 - 4*z - 4. Suppose -12*b + 120 = 28*b. What is b*p(q) + 4*n(q)?\nAnswer: -q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a day in seconds?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1830 and 165.\nAnswer: 20130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*u**3*w**2 - 2417*u**3*w - 5*u**3 + 74*u**2*w**2 - 2170*u**2*w - 2 wrt u.\nAnswer: -306*w**2 - 14502*w - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**7\/210 + m**4\/6 + 2*m**2. What is the second derivative of b(n) wrt n?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1482521?\nAnswer: 47, 31543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*y**5 - 21*y**3 + 21*y**3 + y**2 wrt y?\nAnswer: 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-12)*8\/(-10). Is v less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 540\/(-14742) - (8\/182)\/(2\/7)\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55254235 - -2?\nAnswer: 55254237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 24223350 and 24223346 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 + 252*j + 9361. Give l(-30).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40125 is divided by 247?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-46)\/(-10) + (-4)\/(-10). Suppose -74 = -4*q - 2*w, -y*w + 1 = 5*q - 79. Suppose 4*c - q = 3*c - 2*u, -4*c + 3*u = -40. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75245, -0.1, -1 in increasing order.\nAnswer: -75245, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 680 - 548. Suppose 0 = -2*b - 4*n + 26, -5*b + 4*n = -3 - p. What is the remainder when 41 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54634?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -3b?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2. Let l(i) = 510*i**2 - 248. Determine l(x(o)).\nAnswer: 510*o**4 - 248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 113*o + 104. Let u(k) = 225*k + 208. Let f(w) = -5*s(w) + 3*u(w). What is the first derivative of f(n) wrt n?\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/750 and 1\/375.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75075 divided by -175.\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 25 - 10. Let g(d) = -7*d**2 - 9*d - 5. Let m(h) = -4*h**2 - 5*h - 3. Let t = -7 + 4. Give t*g(j) + z*m(j).\nAnswer: j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 14087478.\nAnswer: 140874780","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -3*c - 0. Suppose 26 = 5*y - f + 3*f, 3*y - c = -f. What is the greatest common factor of y and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*b - 18. Let d be (1 - 4)*(-30)\/b. Find the second derivative of -4*i**3 - 123*i**2 + d*i + 123*i**2 wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 35227*n - 1141. Is o(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5394463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/((-54)\/24)*15\/(-2). Factor 120*q**3 + 8*q**4 + 2185*q**2 - 88*q**4 - r*q - 5 - 2190*q**2.\nAnswer: -5*(q - 1)**2*(4*q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -9*l**3 + 41*l**2 + 152*l - 715. Calculate p(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((0 + 1 + sqrt(2299) + sqrt(2299) - 3*sqrt(2299)*1 - (-4 + 2 + sqrt(2299) - sqrt(2299) - (sqrt(2299) + 0 + 3))) + -2)**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -308*n + 209. What is h(-4)?\nAnswer: 1441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3 = -3*q + 9, -2*q = -4*m - 8. Let y be (-2 + m)*(-1)\/2. Is 1 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19520*l + 5 + 19413*l - 2)*(l**3 + l**3 + 2*l**3).\nAnswer: -428*l**4 + 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22305722 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1650)\/(-1980)*(-41 - 1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-3 + 0) - (0 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 30381*a**3 - 5*a**2 + 20*a - 21. Is s(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/(-11) - 2\/11. Suppose t*w - 301 = w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4\/3)*k**(2\/7)*k\/k**(2\/15)*k**9*k assuming k is positive.\nAnswer: k**(1031\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**3\/3 - 9*v**2\/2 + 24*v - 22. Let a be h(-11). Solve -a*z = -3 - 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqxxq. Give prob of picking 1 i and 2 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r = 79*r - 1052 + 4180 for r.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -7. Suppose 0 = -t + p*t. Factor -2\/3*i**2 + 0*i + t.\nAnswer: -2*i**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(57)\/(sqrt(3) + -2*sqrt(147)) + sqrt(95)\/(sqrt(15)\/sqrt(3)) + sqrt(209)\/(sqrt(11) + sqrt(44)\/sqrt(4)))**2 + -2).\nAnswer: -73977\/676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 220459777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 2*d**2 - d**5)*(94 - 34 + 9)*(-2 + 5 - 2 + (0 + 1 + 4)*(2 + 2 - 2)).\nAnswer: -759*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12457, -12482, -12577, -12778, -13121, -13642?\nAnswer: -14377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3825 + -3830. Let o = 0.031 + -22.031. Which is the second biggest value? (a) t (b) o (c) -0.2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3.69 (b) -0.1 (c) 1\/17 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + (-7 - -4 - -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5767?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) -0.001 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/18)\/(2\/(-4)). Let w(z) = -z - 3. Let n be w(-4). Let p = -6 + 4. What is the closest to n in p, v, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**4 - 14*z - 179 + 86 + 90 + 2*z**2 to f + t*z**3 + d*z**4 + o*z + x*z**2 and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5 = -2*c - b, -4*b - 8 = 0. Calculate the remainder when c is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625593002 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -4 in ascending order.\nAnswer: -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -109.34537 - -17.386\nAnswer: -91.95937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 315\/525 + 4\/10. Solve -v = -k + 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.19 + -2.19. Let j = -1.55 - -1.54. What is the third biggest value in -1\/3, c, j?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53128259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**3 + 17*b**2 - 20*b. Let q(u) = -u**3 - 2*u. Give -h(f) + 6*q(f).\nAnswer: -3*f**3 - 17*f**2 + 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivsssupsvuvl. Give prob of sequence plv.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1717332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1904172 is divided by 1209?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/5 - 51*u\/5 - 82 = 0.\nAnswer: -41, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -645 = -5*u + 5*s, 122*u - 125*u + 399 = -s. Calculate the remainder when 1986 is divided by u.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 3:42 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 298 + 470. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001923524325 rounded to 5 decimal places?\nAnswer: -0.00192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6064094963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 14, -0.1, 0, -1\/8, -383325?\nAnswer: -383325","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - w = 13*f - 11*f + 142, -99 = 3*f - 4*w for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 20*s. Let q(k) be the second derivative of 7*k**4\/4 - 20*k - 2. Give q(z(r)).\nAnswer: 8400*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*o + 2*o - 80*o**2 - 4*o**4 + 6*o**5 + o + 75*o**2 wrt o.\nAnswer: 360*o**2 - 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.609?\nAnswer: 0.2436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**14\/h*h)**(-5)*(h\/(h*h**(3\/38))*h)\/(h**(-7\/8)\/h) assuming h is positive.\nAnswer: h**(-10215\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*i**2 + 27*i**2 - 13*i**2 - i)*(-i - 9*i + 2*i)*(1 + 0 + 2) in the form b*i**3 + d + l*i**2 + a*i and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/((-40)\/39) - 9.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c = 3*b + 7, 0 = c - 2*b - 7. List the prime factors of 12 - (-1 - (c - -3)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17745 + -17820 + 109 + 0?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, x: 3}. Give prob of sequence sxxx.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 6:57 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, o: 3, d: 2, y: 3, t: 5}. What is prob of sequence dd?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/(sqrt(12)\/sqrt(3)) - sqrt(7)) + (sqrt(77) + 2*sqrt(77))\/sqrt(11) + sqrt(7))**2 - (sqrt(112)*-6 + (-3 + sqrt(7))**2*6).\nAnswer: 16 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x - 689*x - 225*x.\nAnswer: -940*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1640*r + 25131 + 24069 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by 244\nAnswer: -29\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - 1. Let z(d) = -10*d**2 + 10*d - 7. Let o(l) be the first derivative of 7*l**3\/3 - 7*l**2\/2 + 5*l - 159. Give v*o(m) - 5*z(m).\nAnswer: m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-6)\/i*i*i\/(((i*i**(1\/3))\/i)\/i) assuming i is positive.\nAnswer: i**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**3 + 416*z**2 - 1780*z - 19800 = 0. Calculate z.\nAnswer: -5, 10, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 213842689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -13344?\nAnswer: -13344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -17*w**3 + 3*w - 4. Let l be u(2). Calculate the common denominator of (-12)\/8 + l\/24 and (-4)\/(-6)*(-333)\/(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i + 8. Let z(q) = 7*q - 17. Let n(t) = -5*c(t) - 2*z(t). Differentiate n(v) with respect to v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 3 + t + 41714*t**2 - 3 + 2.\nAnswer: 41714*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 21 = -a. Suppose 20 = 3*l - 4*z, 3*l - 4 - a = 5*z. Solve -2*o - o = l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 11. Suppose -h = 3*f - 9, t*h - 3*f - 2 = -f. Suppose -3*j + h + 63 = 0. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -7. Suppose 0 = k*f + 12, -2*c + 4*c + 5*f + 11 = 0. Let w be 0\/(-1*(c - 0)). Solve w = -0*u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 59222 + 5*h**3 + 115*h**2 - 120*h - 59222 = 0.\nAnswer: -24, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60573136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/3 + -2 - 9\/(-3). Which is bigger: b or -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 415 = 53*v, -7*l + 2*v = -0*v + 81 + 139 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by (-868)\/(-63) - 4\/(-18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8550.77 rounded to the nearest one hundred?\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 265*l**3\/6 - 271*l**2\/2 - 34*l. List the prime factors of a(5).\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34732.61 rounded to the nearest 1000?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 52293.339 minutes in weeks?\nAnswer: 5.18783125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a week in hours?\nAnswer: 3612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from {g: 3, l: 1, m: 1, d: 5, a: 2, q: 1}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/(-25))\/1 - (-12)\/3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1.6. Let i = -0.23 - -21.23. Let o = i - 21. Which is the closest to 0? (a) 0.5 (b) d (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 380*m**3 - 271*m**2 wrt m?\nAnswer: 2280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/4)\/(2\/8). Solve 2 = u + v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + q - 9 = 0, -5*q - 13 - 2 = 5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/20)\/(3\/(-1))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 - 53. Let t(x) be the first derivative of -1\/4*x**l - 3*x**2 - 2 - 2*x + 2*x**3. Give t(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35615 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1912 and 32.\nAnswer: 7648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q**3 + q**3 + q**3 + (69*q**2 - 139*q**2 + 59*q**2)*(-1 - 3*q - 2*q - 5*q) to l + y*q**3 + a*q**2 + b*q and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 57 (b) -3 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3412 - -3412.7395. What is i rounded to 2 decimal places?\nAnswer: 0.74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*r - 4 = 0, 4*m + 0*r = -r + 26. Let i(n) = -n**2 + 7*n + 8. What is the smallest common multiple of i(7) and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -3 - (-260 - -232).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2329609657?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27796071.\nAnswer: 3, 17, 79, 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-2)\/(-12))\/((-70)\/2940)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 19*u**2 - 4*u - 2. Let r = 53 - 47. Let c(d) = 9*d**2 - 2*d - 1. What is r*b(w) - 13*c(w)?\nAnswer: -3*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t + 44. Give o(31).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2653800787 to the power of 1\/3, to the nearest integer?\nAnswer: 1384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 200*j**2 - 1920*j.\nAnswer: 5*j*(j - 8)*(j + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5289517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -d - 2*r - 4, d - 6 = r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3406, 3364, 3288, 3172, 3010?\n\"Answer: -t**3 - 11*t**2 - 2*t + 3420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -2426?\nAnswer: 2431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 19 - 2*m - 9 - 10. Suppose 0 = -5*b + b. Let q(l) = -28*l + 0 + b + 34*l. Calculate c(q(s)).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 854*p**3*w**3 - 3*p**3*w + 118*p**3 + 44*p**2 - 36123*p*w**4 - 260*p*w wrt w.\nAnswer: 5124*p**3*w - 433476*p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1195987110.\nAnswer: 2, 3, 5, 19, 317, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4 - 16. Let f = d + -2. Let q(o) = -7*o**2 + 6*o - 6. Let v(z) = 15*z**2 - 13*z + 13. Let p = 4 + -17. Give f*v(k) + p*q(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8*f = 5*v + 45, -f = 4*v + 16. Suppose 4*z + 14 = j, 0*z - 8 = 2*j + f*z. What is the least common multiple of j and 20\/(-6)*1*-6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -159 + 92. Is m equal to -67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 24635 = -3*n + 24586, -14 = -2*f + 3*n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iieiiqmmmmimesiil. What is prob of picking 1 m and 2 i?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apf. Give prob of picking 1 f and 1 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84 + 42. Let g = c - 126.149. Let u = g + 0.1595. Round u to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*r + j, -4*r - 5*j = -7*j - 24. Solve l - l - r*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, -1\/7, 0.1, -3 in decreasing order.\nAnswer: 0.1, -1\/7, -0.15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -6031 + 6033 + q**4 - 3*q + 94*q**3 - 2*q in the form w*q**3 + g*q + h*q**2 + s*q**4 + u and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14257 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4424)\/(-237))\/(9*161\/2484).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 26 = 3*a + 2*k, 20 = -2*a - 4*k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1749.0000122 + -1749. Round i to 7 dps.\nAnswer: 0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from aafakkfkafkkaan.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(208)*1 + 4 + (sqrt(208) - -1*sqrt(208)) + (-4*(2 + sqrt(208)) - (-2*(0 + sqrt(208)) - sqrt(208))))*-5.\nAnswer: -40*sqrt(13) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzz. What is prob of sequence zzb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 12:17 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11390, 22740, 34054, 45332, 56574, 67780?\nAnswer: 78950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1729660.8 months in years?\nAnswer: 144138.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 75.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + y + 109. What are the prime factors of h(0)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -128.5 + 129. What is the nearest to 0.1 in -2\/3, -2\/7, q?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2. Let c = 313 + -311. Let a(m) be the first derivative of 0*m + 2\/3*m**3 + c + 0*m**2. Determine o(a(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2037975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*o*z - 1011*o - 34*z with respect to z.\nAnswer: -4*o - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -317167.2 * 4.\nAnswer: -1268668.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 26 = -2*x + 2*y, 4*y - 28 = 2*x. Let i = x - -20. 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 tth term of -35, -68, -101, -116, -95?\n\"Answer: 3*t**3 - 18*t**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + -2 - (-2 + 512 + -1). Round f to the nearest ten.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.015034 + 0\nAnswer: -0.015034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 93*j**3 + 57*j**2 + 215*j - 261. Let q(w) = -17*w**3 - 12*w**2 - 43*w + 52. Let c(k) = -2*p(k) - 11*q(k). Calculate c(-15).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51798 and 6402.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/(y\/y**(-3))*y)**(-21) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -100 - (-1 + -74) - -68?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of (-1611)\/(-358)*(-28892)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 64? (a) 44 (b) 56 (c) 0.3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-7) + 258\/21. Let a = 8 + -6. Does 15 divide 5\/(2*a\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -496 - -502. Suppose 2*r - 5*b = -5, -2*r + 7*r - 2*b - 19 = 0. Suppose -r - y = -k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a1 (base 16) to base 7.\nAnswer: 4643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/27)\/((b*b**(-13\/2))\/b*b)*(b*b**(-2)\/b)**(-36) assuming b is positive.\nAnswer: b**(4181\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.52697666 to 2 decimal places.\nAnswer: 11.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21107050*v**3 - 54855613*v**2?\nAnswer: 126642300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 0 + 0*l**3 + 0*l**5 + 0*l + l**2 + 7\/120*l**6 - 5\/12*l**4. What is the second derivative of o(d) wrt d?\nAnswer: 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2\/3 + 8950*m\/3 - 3943037 = 0. Calculate m.\nAnswer: -10119, 1169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -19.2. Let a = -3 + j. Let i = -1 - 0. What is the closest to i in 0.3, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 47341*v + 94679. Give i(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 3*a**2 + 8*a - 3. Let b be x(5). Let z(v) = -v**2 - 12*v + 15. Let h be z(b). Solve h*p + 2*p = 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*i + 0)*(-i**4 - i**2 + i**2) + 203*i**4 + 3*i**2 - 203*i**4 + 7*i**5.\nAnswer: 5*i**5 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-4)\/(-14))\/((-16)\/16)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 2 - (-13 - (-4 + -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 4)*(-2*i - i + 5*i) + 68*i - 33 + 33 in the form d*i + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 6 + -14 + (14 + -15 - -10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {p: 2, g: 9, f: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/9)\/(2\/(-6)). Let v = -1125\/7 + 161. Let j = -8 - -8.2. What is the closest to v in -1, r, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1166 - 1129. Let y = -2 - -7. Suppose u = q - y. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 - u + 1. Let f(n) = n**2 + 2*n - 12. Let q(l) = 7*l**2 + 12*l - 73. Let a(s) = 6*f(s) - q(s). Determine -3*a(y) - p(y).\nAnswer: y**2 + y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 + 66. Solve -4*y = -m*y - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -738, -1374, -2010, -2646?\n\"Answer: -636*n - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -23, 72, -2608\/11?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**2 + 51*q + 4. Let r be f(17). Let a(m) = 3*m + 5. What is a(r)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -4, -48, 3, -14, -1 in decreasing order.\nAnswer: 10, 3, -1, -4, -14, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 89*f - 30. Give d(1).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (-7 + 9))*8\/(-40)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18413, -18406, -18395, -18380, -18361, -18338?\nAnswer: -18311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1034 divided by 517.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339 = -10*y + 409 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-3\/8)*x**(-2\/9)*(x**(-1))**(17\/2) assuming x is positive.\nAnswer: x**(-583\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*b = -77*b + 4*l + 2, -16*l - 58 = -5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -79*32\/(-30336)*(-5)\/((-70)\/(-12))\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1197 - -1914. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**4\/24 + 30*b**2. Let l(t) be the third derivative of 0 + 0*t**4 + 0*t**3 + 7*t**2 - 1\/30*t**5 + 0*t. Give n(l(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 8 = -4*u, -3*d + 5*u + 1 - 15 = 0. Solve d*x + 4 = -0*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -693, -2769, -6235, -11097, -17361?\nAnswer: -25033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.2881336 rounded to two dps?\nAnswer: 77.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 23178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1241985 divided by -413995.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 + -98 - (-2 + -15).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2.2, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 14*v - 2*z = -35, -21 = -4*v - 3*z. What is the first derivative of -v*k - 22*k + 25*k - 49 wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 52551977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1386 * -0.77935\nAnswer: -1080.1791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6040.87 - -6041. Sort n, -3, -0.2, -0.4 in increasing order.\nAnswer: -3, -0.4, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16745547.7 rounded to the nearest ten thousand?\nAnswer: 16750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*n - b - 24, -4*b + 36 = 4*n. Solve 4*y = 3*y - n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*w + 9*w + 2420*w**2 + 2436*w**2 as y*w**2 + k*w + u and give y.\nAnswer: 4856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14ea (base 16) to base 12.\nAnswer: 3122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 52\/5 of a century?\nAnswer: 12480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23420 divided by 11710\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -9*u**2 - 2*u - 1. Let p(l) = 45*l**2 + 6*l + 13. Determine p(a) + 2*y(a).\nAnswer: 27*a**2 + 2*a + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 132333714?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50727319?\nAnswer: 3929, 12911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 81524705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17162934091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**6 - 2*p**4 - 5*p**2. Let k(t) = -t**6 - t**4 + t**2. Let h(b) = -2*k(b) + n(b). Find the third derivative of h(a) wrt a.\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2.1. Let f = 0.3 + v. Which is the closest to 0.06? (a) 2 (b) f (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-98))\/(((-465)\/434)\/15))\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*g + 3*g. Let k(p) = -7*p**3 - 8*p**2 - p + 1. Let n(w) = 5*w**3 + 9*w**2 + w - 1. Let q(x) = -3*k(x) - 4*n(x). What is q(g)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 656 = -5*t, 5*t + 16 = -5*g + 666. Suppose 0 = 5*p - 103 - t. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 10751*f + 75206. Give n(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 - 44*h**3 - 2 + 21*h**2 + 89*h**3 - 47*h**3 + 2*h**4 as j + i*h**4 + z*h + q*h**2 + g*h**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 9*y - 1. What is the tens digit of x(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -130.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.4 - -1.4. Let j = -14.768 + 1.755. Let f = j - n. What is f rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53)\/53*(-6)\/30?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*h + 2*h**3 - 4*h**2 - h + 15*h in the form r + p*h**3 + l*h**2 + q*h and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 8*n**2 + 9*n - 6. What is i(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 10) to base 7\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 19848276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 116*o + 91*o - 39 - 97 - 81*o. List the prime factors of c(9).\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -0.447 in increasing order.\nAnswer: -0.447, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -224*r**6 - 308*r**6 + 74*r**2 - 106*r - 22*r**2 + 108*r wrt r.\nAnswer: -63840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 74 = 4*l, -3*g = g - 5*l - 140. Let c be 123\/g + (-3)\/30. Solve c*r = -0 - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m**2*n + 89*m*n + 176*n wrt m?\nAnswer: 2*m*n + 89*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 478, 977, 1486, 2011, 2558?\n\"Answer: t**3 - t**2 + 495*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11304 + -19713. Let g = -185035\/22 - x. Calculate the common denominator of -3\/8 and g.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -1 - 1\/2*w**2 - 5*w. Let o be t(-6). Sort 2, o, 3 in decreasing order.\nAnswer: 3, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60121116 by -6.\nAnswer: -10020186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 12:15 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1 - 3) + (23 - 13) + -40.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 48 + -79 + 65\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 22 = 3*j, -2*w + 2*j = -2*j + 34. Let p(b) = b + 10. Let d be p(w). Is 17 a factor of 35 - (d + -2*2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10611221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 - 18*b + 4. Let a be j(-6). Calculate the highest common factor of 44 and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (23 + -17 - 13).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 8 = 2*s - 0*x, -4*s - x + 2 = 0. Let t be (-2)\/s - (-6 - -3). Suppose t = -4*i + 13. Solve i*c + 0*c = -9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 10549*c - 10548*c - 5. Let o(s) = 8*s + 4. Let p be o(4). Calculate the greatest common factor of p and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -7*d**2 + 17*d - 44. Calculate u(2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/(-9) - (-4)\/6. Find f, given that -2\/5*f**2 + 0 + 0*f - 2\/5*f**5 + 2\/5*f**o + 2\/5*f**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1160, 2495, 3862, 5279, 6764?\n\"Answer: 3*z**3 - 2*z**2 + 1320*z - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7194132ng in tonnes?\nAnswer: 0.0000000000000007194132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 24 = -3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -10\/41?\nAnswer: -10\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 772c (base 16) in base 3?\nAnswer: 1112211221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16736171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*y - 8 - 42, -3*s - 9 = 0. Solve -y*o = 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, j: 8, i: 2}. What is prob of picking 1 j and 3 t?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-336)\/56 - (1928\/(-288) - (-12)\/27)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 4 - 1. Which is the third biggest value? (a) 0 (b) 0.3 (c) g (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 472349, 472348, 472347?\n\"Answer: -g + 472350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 5 - 14) + 55 + -100.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 8:28 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c + 23. What is d(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 776301235*-1\nAnswer: -776301235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from sdlsldlldls?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 55*i - 127 - 31*i - 21*i - 16*i wrt i?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 0*n**3 - 7\/24*n**4 + 5*n + 0 + n**2. Let b(y) be the first derivative of f(y). Let x(w) = -w. Give x(b(r)).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76\/9 or -8?\nAnswer: -76\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5076 + 10736. Round t to the nearest one hundred.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-990)\/297*((-24)\/(-10))\/(-1). Suppose -2*b - 3*f + 1801 = -g*f, 2*b - 2*f = 1816. List the prime factors of b.\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32720887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggqbgq. Give prob of sequence ggg.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-735)\/343)\/(10\/(-28))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 divided by 2?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 8:19 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 724, 1405, 2092, 2785, 3484?\n\"Answer: 3*p**2 + 672*p + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -30. Calculate the smallest common multiple of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2 - 0) + 1)*5. Which is the biggest value? (a) d (b) 2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b. Let x be d(-5). Let p(v) = -4*v**3 + 4*v**2. Let l(t) = 4*t**3 - 5*t**2. Let g(z) = x*l(z) + 6*p(z). What is the third derivative of g(o) wrt o?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 9:08 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) + (-4*sqrt(539) - sqrt(539))**2 + sqrt(539) + (sqrt(1584)*-3 + sqrt(1584))**2.\nAnswer: 14*sqrt(11) + 19811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/11758 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*m**2*t - 12918*m**2*u - 87*m**2 + 2*m*t*u - 3*t wrt u?\nAnswer: -12918*m**2 + 2*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4614371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -598.75 rounded to the nearest ten?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + v + 0)*(-3*v**2 + 3*v**2 + 2*v**2) - 933*v**3 - 927*v**3 + 1710*v**3.\nAnswer: -148*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.496 * 227.\nAnswer: 793.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -410*m - 3*m**3 + 870*m + 201 - 461*m in the form g + q*m**3 + h*m**2 + o*m and give g.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 350 and 1250.\nAnswer: 8750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -332, -814, -1488, -2354, -3412, -4662?\nAnswer: -6104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*n**2 - 36*n**2 - 37*n**2.\nAnswer: -142*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -48520000 rounded to the nearest 1000000?\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, 5\/3, -1\/3, 6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 4) to base 15.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**5\/60 + j**4\/6 - j**3 + 3*j**2 - 3*j. Let u(i) be the first derivative of l(i). Determine u(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.349 - 3.651. Let g = 183 - 180. Which is the fourth biggest value? (a) 0.2 (b) 0.4 (c) h (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 4059 - 4059.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*z - 120*z + 21*z - 3.\nAnswer: -279*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/12)\/(-1))\/(28*2\/112).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 178*g + 7828. Give v(79).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21633570*p**4 + 233*p - 12303 wrt p?\nAnswer: 259602840*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -682803564, -682803561, -682803558, -682803555, -682803552, -682803549?\nAnswer: -682803546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 570128 (base 14) to base 8.\nAnswer: 13221670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1034 - -92.\nAnswer: -942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(68) + 3.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/(-15) + (-499068)\/(-89130) + -4. Which is smaller: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -226*g**2 - 237*g**2 + 459*g**2. Let p(i) = i**2 + i - 1. Let y(n) = n - 1. Let d(a) = p(a) - y(a). Give v(d(x)).\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*w, -5*t + 0 = 4*w + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqvrbb. Give prob of sequence qbv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 290\/14 + 26\/91. Suppose -16*b = -z*b + 2485. Suppose 0 = -0*h + 7*h - b. What are the prime factors of h?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4861, 11390, 29089, 63544, 120341?\n\"Answer: 931*g**3 - g**2 + 15*g + 3916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + q = 0, 2*y + 0*y + 3*q = -8. What is f in 4*f**5 - 7386*f**4 + 82*f + 7354*f**4 + 30*f - 152*f**y + 100*f**3 - 32 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6566 divided by 5?\nAnswer: 6566\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 102 divided by 296957\nAnswer: 102\/296957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/1*-1*-1. Suppose -2*i + 34 = 2*b, -3*b = -2*b + d. Suppose 0*g - i = -2*g. Solve -2*r = r - 5*w + 7, r + 5*w - g = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12805702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1998749 and 5?\nAnswer: 9993745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 5*y. Let j be t(5). Suppose -2*c + 0*c = 5*f + 9, -5*f - 25 = j. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29204 and 2235?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*y + 6*y - 30 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 684 = -0*n. Let y = 49 + 162. Let p = n - y. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -334 - -233. Let x = 557385557.0000073 - 557385456. Let f = y + x. What is f rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28195341 is divided by 1039?\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*h + 3*f, 24 = 2*h + f - 5*f. Let i(o) = 5*o + 26 + 2*o - 5*o + o**2 - h*o. Does 15 divide i(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378882988.\nAnswer: 2, 11, 293, 29389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u**2 + 4*u**2 - u**2)*(-1 + 1 - u) + 7*u - 8*u - 4*u + 2 - 20*u**3 to the form j + n*u**3 + o*u**2 + t*u and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/70*(-346220)\/7419.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3 (b) 532 (c) -14\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249*g + 119*g + 165*g**3 + 130*g.\nAnswer: 165*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.67 - -272.67. Let t = 273 - r. Is t at most as big as 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-576)\/(-60)*1*100. Is (15\/(375\/20))\/(2\/d) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2227*w**2 - 4451*w. Calculate b(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -110*c**3 - 7*c**2 + 2*c + 9. Let l(a) = 54*a**3 + 3*a**2 - a - 4. Give -9*l(j) - 4*s(j).\nAnswer: -46*j**3 + j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, j: 4, g: 1, f: 9}. Give prob of sequence jft.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 3*n - 5*c + 199, -n - 5*c = 33. Let j = -39 - -11. Let l = j - n. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mddymttdmzmzmm. Give prob of picking 2 m, 1 y, and 1 t.\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 1. What is the units digit of -1*(3\/g - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 398878*t - 40.\nAnswer: 398878*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1245*c = -1233*c - 24. What is the fifth biggest value in 1\/13, c, 8\/5, 4, 1?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-5)*(-35)\/(-910)*845*(0 - 2).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1020011002 (base 3) to base 11\nAnswer: -17180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j - 2. Let g be y(6). Suppose -4799988 = -0*t - t + g*u, 5*t - 24000009 = -3*u. Round t to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*h - 37368 = -41295 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 5*u - 10*u**2 + 0*u + 3942.\nAnswer: -10*u**2 + 2*u + 3942","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/(-221)*65)\/((-5)\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 2*o - 5*f, -44 = 4*o - 4*f - 36. Solve -o*y - 35 + 39 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 + 8 = 7*s. What is the highest common factor of s and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 2*t. Let k be g(-2). Suppose -r + 3 + 0 = k. Suppose 3*u + 5*v = -0*u + 23, 4*u - r*v = 50. What is the remainder when 32 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 25616 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124 - -64. Let u be (-2)\/(10\/(-4)*(-12)\/y). Sort 8, u, 2, -2 in ascending order.\nAnswer: -2, 2, u, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.1 + 0.1. Let g = q - -4. Let y = 16.91 + -16.71. Which is the closest to 1? (a) y (b) g (c) -2\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -51 + 56. Suppose 0 = -7*n + 4*n + s*z + 13, 5*n - 5*z = 5. Let f(v) = 3*v + 12. Let w be f(n). Solve 5*j = -5*a - 15, -j + 2*a + a + 1 = w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06609 - 298.93391. Sort -2\/9, -1\/6, i, 0.2 in descending order.\nAnswer: 0.2, -1\/6, -2\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*x - 8*x - 31*x - 21*x)*(0*x + 0*x - 3*x).\nAnswer: 141*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*b + 3*r - 7, 5*b - 3*r + 5 = 0. Suppose 0 = -5*w + 5*n + 2330, w - b*n + 5*n = 466. Suppose w = 5*q - 209. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6483092.01553 + 6483275. Let z = -183 + g. What is z rounded to three decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16127960623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*g - 144 = -79*g - 610 - 1834 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -195, 5, -1\/8?\nAnswer: -195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 4:00 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b. Suppose 4*x - 30 = 5*g + 5*x, -3*x = 5*g + 40. Let s be y(g). Suppose o + 10 = 2*d + d, -4*d + 8 = -4*o. Put 0, s, d in descending order.\nAnswer: s, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30203, 29854, 29225, 28322, 27151?\nAnswer: 25718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -855839679433778267893.9999995 + 855839678552630498319. Let c = 881147768712 + b. Let z = -863 - c. What is z rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6 + (-12)\/4 + 582)\/(9\/84)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 4*o = 314 - 326, 3*n + 20 = 2*o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4470 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1925 and 6771072?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 10:52 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by ((-88)\/32)\/((-3)\/(-4) + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 0 - 11\/24*p**4 - 1\/5*p**5 + 0*p + 3\/40*p**6 - 1\/3*p**3 + 9*p**2. Find d such that w(d) = 0.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*l + 72*l + 1 = 3*u, 9 = -u - 4*l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 28\/12098207?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2311554 + -204?\nAnswer: 2311350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 277 + -193. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3564 is divided by 351?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 194\/273 - 4\/91. Suppose 1\/6*z - 2\/3*z**4 + 1\/2*z**3 - 2\/3*z**5 + y*z**2 + 0 = 0. Calculate z.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -4*r - 0*y - 3*y, -r - 2*y = -13. Suppose -r = -z - 16. Solve 1 = -2*l - z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588656?\nAnswer: 2, 36791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66744 + -44911. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -1251?\nAnswer: -1245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263806 is divided by 278.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x = -96. Let q(t) = -t**3 - 3*t**2 + t + 4. Let y be q(-4). What is the greatest common factor of x and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185052367*g + 2*g**2 - 185052367*g.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(40)\/sqrt(4) - sqrt(10)) + (-3*(sqrt(10) + (sqrt(10)*-1 - sqrt(10)) + sqrt(10)) - sqrt(10)))\/((sqrt(1440)*2 - sqrt(1440))\/(-2*sqrt(200))).\nAnswer: 5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**6\/72 + 2*t**3\/3 - 75*t**2\/2 - 22. Let m(d) be the third derivative of c(d). Let w(a) = -a. What is m(w(v))?\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m + 4*m = 7*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 21*i + 39. Let a be x(20). Let q = 53 - a. Let b = q + 11. What is the remainder when 32 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.99.\nAnswer: 0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2846*c**2 - 94*c**3 + 2846*c**2.\nAnswer: -94*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*q + 2*t + 150 = 0, 0 = 5*q + 2*t - 726. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135508315.\nAnswer: 5, 3709, 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2746872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4277, -8671, -13193, -17843, -22621, -27527, -32561?\nAnswer: -37723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 1 = 3*h - 7, -4 = -2*g - 2*h. Let j = -0.4 - 1.6. Let q = j - -1.5. What is the second smallest value in q, g, 1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94992 - (-7)\/((-56)\/(-88)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**4 + g**3 + 2*g**2 + g**3 - 3*g**3)*(0*g + 0*g - 2*g).\nAnswer: -8*g**5 + 2*g**4 - 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(1\/7)\/a)*a)**1 assuming a is positive.\nAnswer: a**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 - z**2 + 114 - 3*z**2.\nAnswer: z**2 + 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 d when four letters picked without replacement from ppdpdp.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36715.\nAnswer: 5, 7, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 390619588 to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 14*a**2 - 60*a - 856. Give c(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/13, -3, 10, 0.4, -258?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 4\/5 (b) -20598 (c) 0 (d) 3 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -595 and -0.0529.\nAnswer: 31.4755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 0 + (-56 - (43 - 49)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 336, 329, 306, 267, 212, 141, 54?\n\"Answer: -8*l**2 + 17*l + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/5 of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert c0 (base 14) to base 12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + u**2 - 1. Let o(v) = -2*v**3 - 4*v**2 - 10*v + 6. Let y(k) = 3*j(k) - o(k). What is the units digit of y(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/12*3)\/(1\/4). Is 4\/7 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**5\/10 + 4*b**2 + 11*b. What is the derivative of s(z) wrt z?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -111403 and 0.7.\nAnswer: -77982.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17784 and 6669.\nAnswer: 53352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 1110 in decreasing order.\nAnswer: 1110, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -68*m**3\/7 + 3118*m**2\/7 - 6760*m + 33992 = 0. Calculate m.\nAnswer: 14, 607\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -760, -2374, -4838, -8158, -12340, -17390, -23314, -30118?\n\"Answer: -r**3 - 419*r**2 - 350*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r + r - 2*r)*(0*r + r - 3*r) + 1 - 1 - r**2 + (-3 + 1 + 3)*(2 - 2 - 7*r**2) as w*r**2 + a*r + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (20\/4 + -3)\/(-10)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1379 + -546. Let o = q - 845. What is the nearest to 1 in o, -0.2, -0.4, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 36549*l**2 + 109637505*l + 10281935937.\nAnswer: 3*(l - 6137)**2*(l + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 1:41 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 82243922 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5294 divided by 1?\nAnswer: 5294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 157385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2518*q + 1415252. Determine d(562).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 v when four letters picked without replacement from {d: 1, w: 1, e: 2, v: 3, f: 1, g: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (196\/210)\/((-6)\/20)*30\/(-35)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 231233332 (base 5) in base 13?\nAnswer: 2a53bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40901 and 4235?\nAnswer: 24745105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -22, -101, -238, -433?\n\"Answer: -29*g**2 + 8*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/4, 8, 2\/5, 0, 0.22, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-73)\/1095*(-1)\/(7*1). Let p(r) be the third derivative of 0*r**5 + 1\/3*r**3 - 3*r**2 + 0*r + 0 - 1\/6*r**4 + 1\/30*r**6 - o*r**7. Factor p(a).\nAnswer: -2*(a - 1)**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11698*n**3 - 10600*n**2 + 21201*n**2 - 10602*n**2.\nAnswer: 11698*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*15893016.\nAnswer: 15893016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-8) - (-254673)\/108*3 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04469950834 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -19030298 divided by -7\nAnswer: 2718614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 565 = 8*v + 125. What is the highest common divisor of 33 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from edqmmemqm. What is prob of sequence eqqe?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 - 24*j**2 + 14 + (-7*j + 13*j + 8*j)*(4*j + 9*j - 3*j).\nAnswer: 116*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258\/(-172)*(-2)\/5.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(-10)*136\/(-119). Which is the third biggest value? (a) 0.08 (b) -194 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1400*k**5 - 16*k + 29 wrt k?\nAnswer: 28000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b = 4*n - 268, -4*n = 5*b - 244. Let h = n + -65. Solve -2 - h = -3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 858\/5 + -2977\/20. What is the common denominator of l and 8 - 9 - 158\/(-36)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/8)\/((-690)\/1840).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7.083035 centuries?\nAnswer: 8499.642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 180634*j**4 - 2*j**2 - 27213287.\nAnswer: 722536*j**3 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81)\/198*(1150\/(-75))\/(-23).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28242354 to the power of 1\/2, to the nearest integer?\nAnswer: 5314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(3 - (-44)\/(-14)). Let a = 0.56 - 0.49. What is the second biggest value in a, -0.1, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -437*s**3 + 9*s**2 + s + 16. Let j(w) = 436*w**3 - 6*w**2 - 2*w - 16. Let u(v) = -3*j(v) - 2*t(v). Find the second derivative of u(o) wrt o.\nAnswer: -2604*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -336283.1274?\nAnswer: 336278.1274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -46.4996 (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.13 + 2.87. Is 15 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -8858.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 2) in base 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352 - 352 - 5996808*p**2.\nAnswer: -5996808*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1565)\/4 + 45\/(-63)*-7. Let y = o + 387. Which is the nearest to 1\/13? (a) -0.4 (b) y (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -797\/11 >= -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -111 - -148. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvvt when four letters picked without replacement from {t: 3, v: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -7 - 3 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gqpqppp. Give prob of sequence gqpq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 76842.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 12900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 175633*r**3 + 0 + 0 - 3*r**2 - 6 - 175392*r**3 + 4 to v*r**2 + u + b*r + d*r**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/11, 89, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/306 and (-3725)\/540*((-172)\/20 + 9)?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 + 4*r**2 - r**2)*(-7*r - 2*r + 4*r).\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 8 - 3*d - 2*d + 5*d**2 + 1. Suppose 6*q - 5*k = 7*q + 26, 3*q = -5*k - 38. What is a(q)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 333668 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23488 - -23484. What is the second biggest value in 6\/11, 2\/31, c, 0.4, -248?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((1 + sqrt(405))*2*2 - (sqrt(405) + 3)*-4*6))**2.\nAnswer: 40320*sqrt(5) + 323920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/(-10))\/(141\/5))\/((-27554)\/(-41331))?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n - 4*n = -4*h - 41, -4*n - 2*h - 28 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-9)\/(-3))\/(-9)*(50 - 3).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -423 by -1317792.\nAnswer: 141\/439264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1599317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -110011110110001011 (base 2) in base 10?\nAnswer: -212363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 0*j + c + 3, 0 = -j + 2*c - 2. Let n = 20 - j. Suppose -4*t + 36 = n. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + sqrt(396)*-1*-3.\nAnswer: 6 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(4032) + -2)**2 - (5*sqrt(693))\/sqrt(11)).\nAnswer: -111*sqrt(7) + 4036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56*45\/(-12600))\/(74\/(-20)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0588 and -1?\nAnswer: 1.0588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-84)\/63 - ((-3)\/9 + 1). Let m(j) = j - 7. Let t be m(5). What is the units digit of (a + 52)*2\/t*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1852053 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0*p - q + 351 = 0, -2*p = 2*q - 238. Suppose -11*i - 28 + p = 0. Solve 14 = -i*s - 18 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 divided by 15611225.\nAnswer: 18\/3122245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nine tenths of a milligram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25648 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, p: 7, o: 3}. Give prob of sequence opo.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*r = 762, -2*h - 5*r + 746 = h. Is 42 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 10) in base 14?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(1584) + -5))**2 + 5 - (sqrt(1584) + sqrt(1584) + sqrt(1584)*-1 + -1 - (1 + sqrt(1584))*-5)**2)*-6 + 2.\nAnswer: 14976*sqrt(11) + 187748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(1 - 0) + 1. Suppose n*i - 15 = 1. Solve 0 = i*p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85291, -12, 2\/5, 2\/39.\nAnswer: -12, 2\/39, 2\/5, 85291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -254 (base 7) in base 5?\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 179717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 5*f**2 + 4*f - 1. Let v be j(4). Let q = 14 - 10. What is the closest to v in q, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/(j*j\/j**(2\/9)))\/j*j*j**(-7)*j*j*j)**(2\/7) assuming j is positive.\nAnswer: j**(-68\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-6*16\/(-1536)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 184 = 106. What is the units digit of 2\/(-9) - x\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 39 - 23 - (-39 - (8 + -24)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 15) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 + 0*i**3 + 4*i**3 + (3 - 3 - i**2)*(4*i - 2*i - i) + i - 8*i + 8*i - 25*i**3.\nAnswer: -21*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, l: 2}. Give prob of sequence jjlj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 208.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 9. Let k be v(8). Suppose -59*z = -58*z - 4*l + 10, 2*l - 10 = -2*z. Put k, 0, 4, z in descending order.\nAnswer: 4, z, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c + 25719*c**2 + 4*c - 8*c.\nAnswer: 25719*c**2 + 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4920101.65 rounded to the nearest one hundred thousand?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, a: 3, w: 2}. What is prob of sequence akk?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/41))**(-43)\/(t**(1\/6))**1)**(-7) assuming t is positive.\nAnswer: t**(3899\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - a - 3. Let g(q) = -85*q**2 + 4*q - 109. Let v(l) = -g(l) - 4*n(l). Differentiate v(d) wrt d.\nAnswer: 162*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-18))\/(-1)*(-225)\/(29925\/(-532))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 16*w - 36. Suppose -5*h + 8 = v - 5, 0 = -3*h. Let d be x(v). List the prime factors of d\/(-2) + 306\/12.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + q + 1. Let i = -556 + 653. Suppose i*g - 84*g - 65 = 0. Let o(y) = 10*y**2 - 4*y - 5. Give g*s(l) + o(l).\nAnswer: 5*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 68 + 76 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*r*w**2 - 180*r*w + 5*r - 17*w**2 + 7*w + 6 wrt r?\nAnswer: 10*w**2 - 180*w + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-3.8.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*p = 26*p + 14*p + 140 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13 + (-41)\/(-3))\/((-10)\/15). Let z = 0.1 - 0. What is the third biggest value in l, -34, z?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -43*b**2 + 21*b**2 - 26*b**2. Let c(v) = v**2 + 4*v + 4. Let x(d) = 6*d**2 + 22*d + 22. Let w(k) = -22*c(k) + 4*x(k). Determine i(w(t)).\nAnswer: -192*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 86628 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: Calculate 24 + -7 + 5 - (80 - 28).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.153717 (b) -0.5 (c) 2\/13 (d) -2\/15 (e) -0.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2092, -2106, -2118, -2128?\n\"Answer: h**2 - 17*h - 2076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -110*o**4*p + 17*o**2 + 2*o*p + 10493*p with respect to o.\nAnswer: -440*o**3*p + 34*o + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*w + 4*r, -3*w + 7 = 3*r - 2*r. Suppose -34 = -p + w*b, -5 = 4*b + 11. Suppose 9*m = -p + 414. What is the remainder when m is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/11 - 1771940*a\/11 + 392471420450\/11.\nAnswer: 2*(a - 442985)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02079307841 to 4 dps.\nAnswer: 0.0208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 3*b + 63, 0 = 4*w - 3*w - 2*b - 24. Calculate the lowest common multiple of 5 and w.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w - 2. Let d be l(-3). Let b be 6*(d\/3 + -2). What is the remainder when 18 is divided by (4 - (-8)\/b) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5*a)\/(a*(((a*a\/a**(-2)*a)\/a)\/a)\/a)*a**2*a*a*a\/(a\/a**(-2\/7))*a*((a**(-1\/4))**(-5))**44 assuming a is positive.\nAnswer: a**(439\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -160\/7 - 34*c**4 + 1752\/7*c - 4902\/7*c**3 - 2752\/7*c**2 = 0.\nAnswer: -20, -1, 2\/17, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -209?\nAnswer: -20a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100 - -244. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**3\/6 + 3*a**2 + 2*a. Let w be f(0). Suppose 3*z - w*z = -39. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) + (-30)\/(-4). Suppose -2*p - 4 + 0 = 0. Let f be p\/4 + 28\/8. Solve -u = 2*s + f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 694 and 0.1.\nAnswer: 69.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, r: 3, t: 2}. Give prob of sequence atta.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(1100) + (sqrt(11) - sqrt(44)\/(-4*sqrt(4) + sqrt(4))) - (-1*-4*sqrt(11) + sqrt(44)\/sqrt(4) + 1).\nAnswer: -131*sqrt(11)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 538, 1423, 2310, 3199, 4090, 4983, 5878?\nAnswer: 6775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1392 and 348?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + 0)*-3 + (5 + -1*sqrt(612) + sqrt(612) - sqrt(612)) - (3 + sqrt(612) + -1*sqrt(612) - (-1 + sqrt(612)*-1 + sqrt(612) + sqrt(612))))**2.\nAnswer: -36*sqrt(17) + 5509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38 in 5, 0.3, 1, 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2. Let d be r(-1). Let t(x) = -23*x + 7. Let k(j) = 32*j - 10. Let q(c) = -5*k(c) - 7*t(c). What is q(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2009 divided by 41.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2335*r + 15 - 22 - 20 + 13 + 16 as w*r + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -407, -4, 5726.\nAnswer: -407, -4, 5726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = n + 24. Suppose -2*i - 5*t = -31, i = t + 13 + n. What is the remainder when (-16)\/6*156\/(-8) is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*g - 3640 = -15*g + 8*g. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 3*t - 3. Let k(i) = -7*i**2 + 53*i - 15. Give k(a) - 6*q(a).\nAnswer: -a**2 + 71*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/(-15))\/(2\/(-54)). Let z be 12\/f*6\/(-4). Suppose -4*g = 5 + 3. Is z < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6b28 - 4?\nAnswer: 6b24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 8 - 0. Suppose -w*y - 17 - 9 = 0. Let l = y - -46. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1377240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - h + h)*(3 + 1 - 3)*(-31*h - 26*h + 23*h).\nAnswer: 34*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 + p - 1. Let k = -18 + 22. Is a(k) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n. Let q(x) be the third derivative of x**5\/12 + x**4\/24 - x**3\/6 + 4*x**2. Let t be q(2). Let p(m) = -t*m - 114 + 114. What is p(y(c))?\nAnswer: -42*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14048, 21679, 29338, 37031, 44764, 52543?\nAnswer: 60374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 124 = -4*y + 3*m, 2*y + 5*m = -69. Let h = -36 - y. What is the second smallest value in h, 1, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78316 is divided by 31.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -10 (b) 0.01 (c) -0.1 (d) -3\/47 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 116 - 12dc8?\nAnswer: -12cb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 157717134?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 26*t**2 + 167*t - 21. Let x be i(25). Calculate the greatest common factor of x and 354.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3462152.\nAnswer: 2, 17, 25457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547*r - 12 = 9*q - 548*r, -183 = 9*q - 4*r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - 5\/(5\/3). What is the tens digit of (0 - -1)\/(p\/74)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/9 + 37*j**4\/3 + 65*j**3 - 4847*j**2\/9 - 4150*j\/3 + 4200 = 0. Calculate j.\nAnswer: -105, -9, -4, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32 * 181186.\nAnswer: -5797952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*r + 16 + 29 = 0, b = 3*r - 10. Solve 10 = 5*x, -w - b*x + x + 4 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94*o**2*r**2 - 2*o*r**2 - 66*o wrt o?\nAnswer: -188*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z + 16 - 3*z - 4*z + z**2. Let a be o(11). Let q = -21 + a. What is the nearest to -1\/3 in -1\/4, 0.2, q?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288 and 4752.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-45))\/(4\/(-30)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102202220 (base 3) to base 10.\nAnswer: 8583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**5\/4 - 19*f**4\/16 - 29*f**3\/12 - 5*f**2\/8 - 240. Factor b(m).\nAnswer: m*(m - 5)*(m + 1)*(5*m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 10*y - 28. Determine h(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 321 (base 4) to base 3\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 109340?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-26)\/(3 - 2). Suppose -2*u + 4 = -o. Let w = u - -12. Calculate the remainder when w is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50665576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 3365 and 3365 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k + 2. Let p = -1 + 2. Let b(h) = -h**2 - 26*h + 26*h + p. Let d(a) = a + 1. Let i be d(-2). Give i*x(y) + b(y).\nAnswer: -y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43 - 112 - 8)*(-5*x**2 + 28*x**2 + 4*x**2) to the form a*x + i*x**2 + b and give i.\nAnswer: -4401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-34)\/(-51) - (-142)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 286.8 + -280.15. Put -0.5, j, -2\/7 in decreasing order.\nAnswer: j, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 + 97*z - 479*z - 12*z in the form b*z + o + a*z**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 415 = -5*j + 453, -5*j + 22 = -4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 49*d**2 - 493*d + 27. Give f(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 - 4652*z - 27894. Determine i(-6).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3946.628 decades to millennia.\nAnswer: 39.46628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -52d6?\nAnswer: -52d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.31 - 0.19. Let c = 5 - 5.4. Sort 6, c, j in increasing order.\nAnswer: j, c, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76194 and 186003.\nAnswer: 2241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 68.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 225*d + 87 wrt d.\nAnswer: 225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -234*k**3 - 5943*k**2 - 43323*k - 72930 = 0.\nAnswer: -13, -10, -187\/78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 324 - 97. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/6 + 2\/(-3))*1. Let h(d) = -6*d**3 - 11*d**2 + 6*d + 1524. Let l(w) = -w**3 - 2*w**2 + w + 305. Let f(m) = -2*h(m) + 11*l(m). Is f(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 2. Give f(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -8735 - 4616*m + 4369 + 4366 in the form x + s*m and give s.\nAnswer: -4616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11836404 divided by -1972734?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 175891693 to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1300)*-1)**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1692 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1*sqrt(1452) + 4 - 1*(1 + sqrt(1452))) + -4*((2 + sqrt(1452) + sqrt(1452))*5 + sqrt(1452) - sqrt(1452)))**2.\nAnswer: 68640*sqrt(3) + 2324721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(891) - (sqrt(891)*-1 + sqrt(891) + -5))*-5 + 4 + 3*((sqrt(891) - (-2 + sqrt(891))) + sqrt(891)))**2)*2.\nAnswer: 1080*sqrt(11) + 7578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 3 = 3*t. Suppose -31 = t*i - 4*n, 6*i - 3*n = 4*i - 18. Let h be (2 - 0) + 1 + i. What is the second smallest value in 1, 1\/8, h?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10b9 (base 15) to base 11\nAnswer: -2737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5310*n + 5259*n - 2*n**2 + 5323*n + 5298*n + 5328*n - 26213*n.\nAnswer: -2*n**2 + 305*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -110 - -118 - (15 - -3 - -2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 21 = 9. Solve 2*n + 5*z - 2*z + 17 = 0, l*n + z = -23 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 935 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1f7fd (base 16) to base 14\nAnswer: 3503b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4)\/y*y**(1\/9) assuming y is positive.\nAnswer: y**(-44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -10*p**2 + 580*p + 167. What is f(59)?\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 95197612.7249 plus -922?\nAnswer: 95196690.7249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 16*v + 0 - 1\/2*v**5 - 9*v**2 - 31\/2*v**3 + 9*v**4 = 0.\nAnswer: -1, 0, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223 (base 7) to base 3.\nAnswer: -11021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(-2*sqrt(3)) + -1 + sqrt(112) + sqrt(112))**2*-4.\nAnswer: -1579 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 22 = 5*f - 3*d, -3*d = 5*f + 1. What are the prime factors of (4\/(-12))\/(f\/114)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 652 by -274956.\nAnswer: -163\/68739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3 - 4 - 4*o + 3*o. Let f be g(-6). Suppose 0 = 3*u - f*u + 132. Is u a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4*u - 4 - 8, -52 = -3*n - 4*u. Suppose -4*i = -n, -48 = 2*x + i + 8. Let q = 53 + x. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**5\/20 + z**4\/12 + z**3\/6 - z**2 + 7*z. Let o be p(0). Let r be 5\/(o - 0\/2). Is r bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14112 is divided by 6740.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 11*k + 15. Let v be -2 - (-3 - 0) - k. Suppose q + 4*o = -432, 4*q + 1254 = q + v*o. What is q rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 0. Let x = m + 11. What is the least common multiple of x and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 286\/210 + (-134)\/(-14) + -9 and (-6)\/4 - (-704)\/(-33)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 8, 17, 26, 35?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22314 + 4102 = 60*u - 28184. Calculate the lowest common multiple of 35 and u.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3333.83 plus 0?\nAnswer: -3333.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.025 (b) 2 (c) -17 (d) -2 (e) -18\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 2 - 33. Suppose 0 = -s*y + 8 + 17, 5*y + 271 = b. Calculate the highest common factor of 37 and b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -20*s + 4399. Let q = -269 + 269. Is n(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3907 divide 152913724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 3:38 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -771 divided by 102361?\nAnswer: -771\/102361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 7 - (-6 - -4) - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20 - 0)\/((-119)\/21 - -5). Find the common denominator of 390\/416*51\/v and (-51)\/72 + (-4)\/(-6).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 3*f**2 - 7*f + 6. Let c be b(4). Let t be (-2 + 0)*c\/3. Suppose -t*m - 4*h - 24 = 0, 2*h + 4 = 4*m - 2*m. Put m, 2, -5 in ascending order.\nAnswer: -5, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 727.08 + -726.78. Let i = -14.1 - -2.1. Which is the third biggest value? (a) 2\/13 (b) h (c) i (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 23*w**2. Suppose 17 = -5*k + 27. Let a(v) = 546 - 546 + k*v - 4*v. Calculate s(a(m)).\nAnswer: 92*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3245, -6470, -9695, -12920, -16145?\nAnswer: -19370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.169352021 and 8.13.\nAnswer: 7.960647979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - ((3 - (-5 + -25)) + 13)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16042 and 370?\nAnswer: 2967770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v - 3*v - 2*v**2 + (-2*v - 2*v + v)*(0*v + 4*v - 2*v).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -330, -434, -602, -828, -1106?\nAnswer: -1430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 230 - 225. Solve -v - 4*s + 15 = 0, -3*v + v - s - l = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + 3 + 50 - 20*v**3 + 19*v**3 - 23*v**2. Let r be g(-23). What is the highest common divisor of r and 224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 1)*(-k - k + 0*k) + 22029 - 2*k - k + 2*k + 4*k - 121968 to g*k + y and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -617 - -615. Suppose -4*k + 3 - 7 = 2*w, 10 = -5*k - 5*w. Let i be 6\/(-15) + (-19)\/(-10). What is the smallest value in i, k, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12183 and 24366?\nAnswer: 24366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.3 + 4.3. Let i = -4267 + 4266.7. Let g = -61\/3 - -20. Which is the smallest value? (a) 5 (b) g (c) t (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22, -43, -78, -133, -214, -327, -478, -673?\n\"Answer: -f**3 - f**2 - 11*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -358 + 137 + 159 + 126*p. What is the units digit of i(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 312531 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4777 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4439459 to the nearest 10000.\nAnswer: -4440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/235? (a) 175.3 (b) -1\/4 (c) -1\/10 (d) 3\/4 (e) 2 (f) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (7 + (-2 - 11) - 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, r: 1, z: 2, u: 1}. Give prob of picking 2 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 - 7 - 6*t + t**2 - 6*t**2 + 2 + 2*t**3. Let r(d) = -4*d**3 + 15*d**2 + 13*d + 11. Determine -13*m(o) - 6*r(o).\nAnswer: -2*o**3 + o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*r**3 + 399*r.\nAnswer: 336*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 14*l + 15. Let j = 13 + 2. Let f be a(j). Is 302 + (3 - 4 - f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -1a?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -92 and 10941.\nAnswer: -1006572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8815 is divided by 2925?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 3*g**2 - 1. Let j(f) = 3*f**2 - 7 - 4*f**2 - f**3 - 9 + 17. Suppose 0*a - 5 = 5*a. What is a*l(r) - 3*j(r)?\nAnswer: 2*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g**2 + 4 - 2 - 1)*(49*g**2 - 22*g**2 + 29*g**2) as v*g**2 + q*g + b*g**3 + k*g**4 + r and give k.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 0 + 21 + -19 + 17 + -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 9*j - 14. Let y be h(-7). Solve -s - 10 = -3*x + 6, y = 4*s + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 7*k - 824. Is 21 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -179, -83\/21, 0.3 in decreasing order.\nAnswer: 0.3, -83\/21, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*r**5\/10 - 93*r**4\/5 + 2084*r**3 + 4027*r**2 + 17331*r\/10 - 962\/5 = 0. Calculate r.\nAnswer: -52, -1, 1\/11, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 8:40 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5*58202\nAnswer: -291010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 111\/((-30969)\/19220) + 1\/(-2)*4\/18?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 26200, 52375, 78556, 104743, 130936?\n\"Answer: 3*l**2 + 26166*l + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fflulmffffmff. Give prob of sequence ful.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 + -40. Let p(o) = -o**3 + 11*o**2 + 11*o + 16. Let g be p(k). Solve 0 = -3*i + 7*i + g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1204 and -426 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -14848 (c) -2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**2 + 1. Let f(p) = -16*p**2 + p + 5. Let a(j) = -2*f(j) + 11*r(j). Let l be a(-3). Let k = 2 + l. Solve v - 5*v = k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1786579575 divided by -3?\nAnswer: 595526525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**4 + 4204*x**3 + 1094040*x**2 - 5550336*x + 6690816 = 0.\nAnswer: -528, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -169, -331, -485, -631?\n\"Answer: 4*n**2 - 174*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 9.851. Let h = m - -0.07. Round h to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 51\/4 of a micrometer?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77\/5 - 15. Suppose m = 8 - 3, 35 = 5*h + 2*m. What is the third biggest value in s, -1\/5, h?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**5 + 10*c**3 - 5*c = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 82*z + 85. Let s be i(-1). Which is bigger: 47\/13 or s?\nAnswer: 47\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q. Let t(b) = -947*b + 3. Calculate z(t(y)).\nAnswer: 2841*y - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**4\/12 + 17*p**2. Let y(x) be the first derivative of -29*x**2\/2 + 135. Determine y(j(q)).\nAnswer: 58*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10122*k**3 + 13*k**2 + 29*k - 29769212 wrt k?\nAnswer: -30366*k**2 + 26*k + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2032\/2211 - -2\/201. Let j = -49810\/29 - -1716. Find the common denominator of j and s.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 25*r + 62. Let z be h(27). What is the highest common divisor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*q + 10 = 2*m, -2*q + 4*m + 4 = 0. Find the first derivative of -q + 18 + 2*c**4 + c**4 + 15*c**4 wrt c.\nAnswer: 72*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -32, 4 in descending order.\nAnswer: 4, 0, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**7\/2240 + y**6\/480 + 3*y**5\/320 - 34*y**3\/3 - 5. Let c(w) be the third derivative of h(w). Find p, given that c(p) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89 - -89. What is the third smallest value in -15, f, -2\/5, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcelmclrleccm. What is prob of picking 1 m and 1 e?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 - 16095*m - 16091*m + 48279*m - 16094*m.\nAnswer: -m - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d + 15 = -4*n, -2*d = -6. Suppose -g + 5*m + n = -19, 0 = -g + 2*m + 10. Suppose 21*u = -20*u + 15*u. Solve u = -k - 3*k - g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3) + 5 + (4 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - -163. What are the prime factors of v?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 188*k + 9. Is a(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11454 = 634*y - 385*y for y.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 28*y**2 + y - 32. Let c be a(28). Let z be (c - (-104)\/32)*-20. What is the greatest common factor of z and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbtbbbb. Give prob of picking 2 b and 2 t.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 199*m - 6217. Determine b(-25).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 9 = 3*d, 4*n = 3 - 11. What is the first derivative of 3 - 4 - d*i**3 + 0*i**3 wrt i?\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 g, and 1 x when three letters picked without replacement from xxzxgyxxy.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 1717*y + 70281. Give a(-41).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71632100947\/60 + -1193921316. Let b = 52964 + n. Find the common denominator of 31\/2 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*i - 15757 = -15883 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(2) + 2)*4)**2.\nAnswer: 64*sqrt(2) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 229 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 8. Let a be f(-4). Let q = a - 1. Let j(s) = 5 - q - 2 - s. Let z(g) = -3*g. Determine j(z(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1829, 1833, 1921, 2159, 2613?\n\"Answer: 11*c**3 - 24*c**2 - c + 1843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -4, 0.1, -50.889, -3, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26319?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -327831 divided by 6\nAnswer: -109277\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 + 0*k**2 - 5*k**2)*(66 - 66 - 19*k**2).\nAnswer: 19*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 185330?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 minus -560480?\nAnswer: 560435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 4) + (-2 - (27 + -10) - (-2 + 7)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1236453265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, w: 1, c: 1, p: 1, h: 4, v: 9}. Give prob of picking 1 p, 1 c, and 1 h.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-1007)\/1045)\/(4\/20)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1673455316 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 7 + -3 + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or -0.0124?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j**5*j)*j)\/j*j*j*(((j\/j**(1\/2))\/j)\/j)\/j)\/((j\/j**5)\/j*j)**(-26) assuming j is positive.\nAnswer: j**(-217\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -8 - (-7 + -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + y**2 + 0)*(-8*y + y - 2*y) + (-1 - 1 + 4)*(-y - 7*y + 2*y)*((-y + y + 8*y)*(y + 0*y + y) + 4*y**2 + y**2 - 3*y**2).\nAnswer: -225*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f - 26*f - 34*f + 9*f)*(-3 + 0 - 1) in the form s + g*f and give g.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*o = -4, 4 = 2*o - 2. Suppose 4*u = 3*u + q. Suppose 0 = -2*c + 6 + 8. What is the remainder when u is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/137)\/(p**43*p) assuming p is positive.\nAnswer: p**(-6026\/137)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1160*n**2 + 21*n**6 - 199*n**6 - 308*n**6 wrt n.\nAnswer: -58320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 36*v**5 - 870*v**5 - 84*v**5 + (-3 + 6 - 1)*(-5*v**5 + v**5 + 2*v**5).\nAnswer: -922*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6)*-1*12\/2. Suppose 2*a = i + g*i - 35, 0 = i + 4*a + 15. Solve -2*d + i*d = j - 2, -27 = -5*j - 2*d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 5. What is the nearest to -2\/11 in -5, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of i**3 - i**2 + 4 + 0*i**3 - 6. What is the second derivative of u(m) wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**2 + 27*b - 64. Let d be u(-11). Let j = 74 + -8. Find the second derivative of 29*n**2 - 8*n + j*n**2 - 65*n**d wrt n.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3711 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1331 - 806. Calculate the remainder when m is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**7\/14 - t**3\/3 - 6*t. Find the second derivative of m(x) wrt x.\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -0.1, 1, 0, 257.8, 2\/35?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s**2 - s + 1. Let w be f(1). Let l = 0.1072 + -52.2072. Let d = 52 + l. Which is the nearest to 2\/3? (a) w (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5420, -5370, -5352, -5378, -5460, -5610, -5840, -6162?\nAnswer: -6588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23112422 + -3424?\nAnswer: 23103443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -529 = -2*y - 2*w - 15, -3*w - 253 = -y. Suppose -6*o = -11*o + 3*v + y, 54 = o - 2*v. What is the highest common factor of 80 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -209679\/10 and -20969 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 6 = -6*u. Let g be 170\/(-51)*u\/5. Calculate the common denominator of -3\/4 and ((-14)\/g)\/((-187)\/170).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 42289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/4 and (166\/5)\/(23\/5 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*m - 18516 = 76*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*g = -14. Suppose 5*n - 7 = 5*d + 73, -5*d = -n + 64. Let j be (-255)\/d - 1\/4. What is the highest common factor of g and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -219*v**3 - 1864*v + 933*v + 933*v + 0 + 1 to c*v**3 + m*v + x*v**2 + j and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = -26*n - 731766. Let s = 10569 + n. Round s to the nearest 1000.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of ((-3 - 1) + 3)*-51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*(d*d**29)\/d*d**(-1\/12))**(7\/3) assuming d is positive.\nAnswer: d**(2681\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3527 less than -0.1026579?\nAnswer: 3526.8973421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 23. Let y(m) = m**2 - 6*m - 3. Let c be y(6). Let u = c - -6. Put u, b, -3 in descending order.\nAnswer: u, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 0\/(2\/1). Let u be 0\/((-3)\/(-12) - 30\/(-8)). Suppose 4*i = -u*i + 4, m - 17 = y*i. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 955 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 + 155726*f**3 + 3737040*f**2 + 29895296*f + 79719424.\nAnswer: (f + 8)**3*(f + 155702)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 671*x - 2238 = 0, -3*j - 2*j + 2*x - 375 + 156 = -0*x for j.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51352 (base 9) in base 10?\nAnswer: 33824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12303937 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 93544490179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 6:13 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 400535 * -0.051\nAnswer: -20427.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1088 divided by -27\nAnswer: 1088\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**5\/120 - q**4\/48 - 16*q**2. Factor p(z).\nAnswer: -z*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = 11*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1287, -1\/37?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000101101000100 + 1010?\nAnswer: -101000101100111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 3*j + 4*r, 4*j - 434 = -3*r - 451 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**3 + 2*j**2 + 2*j - 1. Let l be b(-1). What is the common denominator of -17\/12 and -4 - (124\/(-63) + l + 3)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4483\/69 + -109*(-218)\/819789\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 289*k**2 + 5*k. What are the prime factors of a(1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5176653898?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5823548 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * -1264.6.\nAnswer: -20233.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x - 3 + 5 - 5 - 2. Does 4 divide w(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2381954 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 6:06 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (27\/(-6))\/(3\/6). Let m = s + 14. Sort -1, -4, m in decreasing order.\nAnswer: m, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 19*c + 4*c - 27*c + c**3 + 5*c + c**4 - 3*c**2 to g*c + u*c**4 + t*c**2 + m + s*c**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.037777 to three decimal places.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 11*i - 7. Let q be r(10). Suppose -4*a + 13 = -7. Suppose -5 - 35 = -a*h. Solve q*l = 5*x + 7, -3*x + x - h = 4*l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a week in hours?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102576*614.\nAnswer: 62981664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**6\/6 + 3*m**5\/4 - 25*m**4\/12 - 5*m**3\/2 + 28*m**2. Factor h(v).\nAnswer: 5*(v - 1)*(v + 3)*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37077 is divided by 7294?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 + 21*r**2 - 3*r**2.\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-21) + 0)\/((-7)\/(-98)*-12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2666 - 7987 - 1811 = -1651*b - 132*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 11) to base 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {b: 1, u: 1, f: 5, n: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmwzwhuhwww. Give prob of picking 1 m, 1 z, and 1 h.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxrpyeerree. Give prob of picking 1 e and 3 r.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 s when four letters picked without replacement from sscsssssssscssc.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 400753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*t - 4 = -3*o, 4*o + 5*t + 36 = 0. Let z be 14 + -3 + 3 + o. Suppose 2*c + c - 12 = 0, 5*h - 5*c = -z. Solve h*j = -j - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 366*g**3 - g**2 + 329*g wrt g?\nAnswer: 2196*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 1223*f**2 + 1. Let r(q) = 4*q. What is r(d(s))?\nAnswer: 4892*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2 + 67*t - 445. Calculate w(6).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 3, -24 - 12 = -3*g + 5*w. Let o = 7 - -1. Suppose 0 = -10*t + o*t. Solve t = 5*a + g + 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1058*a**3*d**4 + 5*a**3*d + 18*a**3 - a - d**5 wrt d?\nAnswer: -12696*a**3*d**2 - 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 12 - (-2 + (-5 - 0) + 11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2385.59, -2\/59, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 102\/(-27) - 4\/18. Let d be s\/(-12) - (-250)\/6. Let j = -23 + d. What is the greatest common divisor of 19 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2088844189 to the power of 1\/3, to the nearest integer?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -11*f + 37*f - 42*f**2 + 123*f**2 - 39*f**2 - 45*f**2. Let l(d) be the second derivative of d**4\/12 - 2*d. What is a(l(s))?\nAnswer: -3*s**4 + 26*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 3. Let j be i(-5). Let d = j + -2. Let n(r) = 4*r + 2*r - 2 - 4*r - 3*r. Give n(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 2*h + 7*h - 670, -5*h - 5 = 0. Suppose 0*y - j = 3*y. Let d = -27 - y. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/36*(-1 + (-4)\/4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-34)\/14 + -2)\/(11\/(-44)). Let n = f - 1846\/105. Let o = -8 + 13. What is the closest to 2\/7 in n, 1, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 798 and 469875?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.647 + -529.353. Let z = -526 - u. What is the third smallest value in -0.5, 7, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + sqrt(1008))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -5*o + 3*t, o + 0*t + 4*t - 2 = 0. Let y(v) = -111*v + 33. Let s be y(o). Let k = s + -220. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16112 = 140*z - 988*z for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 3*j - 6. Let m be (17 + -4)*(0 - 1). Let h = -6 - m. Is o(h) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**2\/4 + 144*y + 27621\/4 = 0. Calculate y.\nAnswer: -99, -93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h + 5*o = 25, -4*h + 4*o = -28. Let m(b) = -10 - 2*b**2 + h + b**2. Let c(v) = -v + 4*v - 4*v. Determine c(m(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 32 = -5*u, -5*u - 2 = -h + 6. Solve 0 = -3*z + h + 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22, 106, 322, 736, 1414?\n\"Answer: 11*i**3 + 7*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4248611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 226.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/160*85\/14*1. Let t = 5\/7 - v. Let x = 117 - 1285\/11. What is the closest to 0 in x, -1\/7, t?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20580077 < -20580075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 826, 828, 830, 832?\n\"Answer: 2*a + 824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 8*y + 12. Calculate c(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -6. Calculate the smallest common multiple of l and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 289519884?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 3*z**6\/10 + 5*z**4\/12 - 7*z. Find the third derivative of w(p) wrt p.\nAnswer: 216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from tddtgttst?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3474*w**2 + 6951*w**2 - 3477*w**2 + 2 + 274*w**4 - 2*w**3 to the form o*w**4 + c*w + l*w**2 + n*w**3 + u and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) + 1)*-2 - (sqrt(15)\/sqrt(5) + -5)) + -5*(sqrt(147) + 2 + sqrt(3)))**2.\nAnswer: 602*sqrt(3) + 5596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430692726.\nAnswer: 2, 3, 3209, 22369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 0*u**2 + 0 + 1\/3*u**3 - 5*u. Let i(y) = -7*y**2. Calculate k(i(f)).\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -148 - -187. Suppose z*u = 30*u + 117. Calculate the greatest common factor of 351 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - i)*(2 + 0 - 6)*(-3*i + 2*i - i)*(299*i**2 - 3114*i + 3114*i).\nAnswer: -2392*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-5))\/(12\/280). Let x = c - 20. Let w(v) = -v + 7. What is the remainder when w(-6) is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-275)\/(-44)*(-4)\/43 and 53\/28.\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13, 18, 35, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**2 - 20*r + 14. Let p(o) = o**3 - 7*o**2 + 40*o - 27. Calculate 7*d(q) + 3*p(q).\nAnswer: 3*q**3 - 20*q + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w + y + 384 = -28*w, -2*w - 4*y + 224 = 0. Let t be -2*2\/4*-5. Calculate the highest common factor of t and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 10 = -3*a + 6, 3*y - 12 = 4*a. What is the remainder when y\/(-10) + (-36049)\/(-235) is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 6. Let l = -6 + h. Solve q = -0*q - l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 23863.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-11)\/h*(h*h*h*h**8)\/h assuming h is positive.\nAnswer: 1\/h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.6 and -2.358.\nAnswer: -2.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -85 + -1272?\nAnswer: -1347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 12*z**4 - 10*z**3 - 1166*z**2 - 7. Let x(u) = -6*u**4 + 4*u**3 + 583*u**2 + 4. Let p(t) = 4*j(t) + 7*x(t). Find the third derivative of p(g) wrt g.\nAnswer: 144*g - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20683403 and 169?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3, z = 5*w - 0*z + 447. Let d be 4\/(-18) - 200\/w. Which is greater: 5 or d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1242*h**3 + 408*h?\nAnswer: -7452*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2268 and 316386.\nAnswer: 632772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21065 - 8870. Suppose -32*z = -17*z - b. What are the prime factors of z?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5476 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 39 - 7. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93378424?\nAnswer: 2, 11672303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j + 0 + 2*j**2 + 0*j**2 - 1. Suppose 4*x + 4*b + 12 + 8 = 0, -b = 2*x + 8. Calculate y(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, h: 5, e: 4}. What is prob of sequence ee?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, t: 1, d: 1, a: 2}. Give prob of sequence xa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 9:55 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-297)\/396*264\/(-18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 153*b**2 - 628*b.\nAnswer: b*(b - 157)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104230 and 1652?\nAnswer: 12299140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 8:05 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2101176 + 2101313 - 27*u**2 - 23*u**2 as w*u + j*u**2 + z and give z.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u - 21 = 0. Suppose -7 = -5*m + 8. Calculate the greatest common factor of u and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 29*t - 38. What is the remainder when l(27) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, l: 4, n: 3, q: 1, m: 1, k: 1}. Give prob of sequence nqn.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 4 + -7 + (-2 - 0 - -11)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w + 3 = -20*w + 38*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1206 - -11072?\nAnswer: 7664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/7)\/(((-21)\/294)\/((-15)\/150)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195634 is divided by 97804?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1528\/6957 + -2\/773. Let u = 0.026 - -0.014. What is the second biggest value in -5, u, 2\/11, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -309 + 345. Suppose 2*y + 4*m - 6 = 0, 3*m - k = 6*y - 11*y. Solve -y*q + 6 = -12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38120081 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 149084*v**3 - 161608.\nAnswer: 447252*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2f1 (base 16) to base 10\nAnswer: -753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135675 and 15964425.\nAnswer: 47893275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-6)*(8 - 570\/72).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 + 4*v + 7. Let f be w(-6). Let h = f + -66. Calculate the remainder when h is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = g + 2*a + 14, -2*a - 31 = 5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.4, -285 in descending order.\nAnswer: 0.4, -0.4, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/9)*(x*x**(7\/6))\/x*x assuming x is positive.\nAnswer: x**(35\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 3*f - 6 + (2*f - f - 3*f)*(3 - 2 - 2) - 2*f + 5*f + f)*(0*f**3 + 0*f**3 - 2*f**3) to the form b*f**3 + v + i*f**2 + h*f**4 + o*f and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - u**2 + 5. Is q(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 5:29 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 364 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 14*w - 5. Let t be a(6). Let q(x) = -2*x**2 - 43*x - 40. What is the hundreds digit of q(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.45064 decades to months.\nAnswer: 2694.0768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = h - 0*z + 4*z, 2*z + 36 = -h. Which is greater: -0.1 or h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 3)\/(2\/4). Let p be (16 - 1)\/(4\/d). Suppose 2*m - p = -m. Solve 3*o - m*o - 6 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**4\/12 - 13*c**3\/6 + 5*c**2 + 4*c + 17. What is s(13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.76 - -0.46. What is the closest to 1 in -4, h, -0.8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 0*o + 0*o**3 + 26*o**2 + 0*o**5 + 0 - 19\/12*o**4 - 1\/35*o**7 + 0*o**6. What is the second derivative of h(w) wrt w?\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18577441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15646 + 15649. Solve -o*p + 3 = -3*r, -4 - 10 = -r - 4*p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2463.\nAnswer: 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1159*d + 8891*d + 3119*d + 10456*d - 3245*d.\nAnswer: 18062*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -3. Is d > 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 + 29*b**2 + 125*b - 60. What are the prime factors of d(-11)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 318*w**5 + 8135*w**3 - 16*w**2 + 1055*w + 51 wrt w?\nAnswer: 19080*w**2 + 48810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*n - 5*t - 65, 3*t = -2*n + 488 - 495 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 54\/5 of a kilogram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 140176 - 55452. Is 16 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48498.01 nanograms to tonnes.\nAnswer: 0.00000000004849801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*g**2*o - 9*g**2 - 2689*g*o**2 + g + 3453*o**2 - 18*o - 3 wrt g.\nAnswer: 8*g*o - 18*g - 2689*o**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + -1 + (0 - 0). Let r be (2 - 75\/12)\/(6\/(-96)). Suppose -w + r = 3*y, 0 = -8*w + x*w + 25. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -675313 (base 8) to base 12\nAnswer: -abb77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9749 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -464228216.\nAnswer: -464228215.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5864008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h - 6. Let j(o) = -o**3 - 6*o**2 - 2*o - 8. Let g be j(-6). Let t be f(g). Suppose -t*d - 3*l + 99 = 0, 3*l + 2*l = 5*d - 210. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-213201191\nAnswer: 63960357.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 14 = -7*j. Suppose -j*u + 270 = 3*u. Calculate the highest common divisor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9741 is divided by 9739.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2596 and 24077428?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 992\/2 - 25\/(725\/116). What is the highest common factor of j and 6068?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 0*t = -12. Suppose y - t*y = x - 3430, 4*x + 3445 = y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {u: 2, l: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**2 + 0*z**3 - 2 + 7 + z - z**3. Let m be j(-5). Solve m*h - h = 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**4\/8 - 7*x**3\/6 + 5*x**2. Calculate the least common multiple of s(5) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t + 2. Let a = 42 + -30. Suppose -5*r + r = -a. What is g(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 599 = -115*v - v - 97 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -8.8?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -348 - -347. Let o(t) = 10*t + 5. Calculate o(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 12:21 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5.16*4\nAnswer: 20.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 9, 2\/17, -40, -1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 9*i - 13. Let u be z(-10). Let r be 9599\/3 + (-1)\/u. Round r to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 267, 2 in decreasing order.\nAnswer: 267, 37, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 1049, 1\/730, 2, 2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (120\/16)\/(3\/8). Let f be (2\/s)\/(5\/(-290)). Let c = f + 28\/5. Put 2, 3, c in descending order.\nAnswer: 3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, -5, -2 in descending order.\nAnswer: 8, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -1241536\nAnswer: -4966144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n - n + 5*n)*(1 - 4 + 1) + 2*n - n - 4*n + (-4 + 1 - 1)*(2*n - 3*n + 0*n) to the form w + k*n and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 6.7. Let u = -8 + 11. Suppose -3*c + 0*c + 3*d = 0, c - 3*d - 10 = 0. What is the closest to 2\/7 in c, k, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7a6b (base 13) to base 3\nAnswer: -212112111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 15. Let r(k) = -2*k**3 - 7*k**2 - 4*k + 5. Is r(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 493*l - 10392. What is d(-471)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1298 or -1299?\nAnswer: -1298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6275, -6249, -6207, -6149, -6075, -5985?\nAnswer: -5879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 122 - 57. Let y(s) = -45*s**2 - s. Let r be y(-1). Let v = r + h. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31, -28, -117, -236, -385, -564, -773?\n\"Answer: -15*a**2 - 14*a + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(1\/3))**47\/(o\/o**9*o*o*o**(-1\/4)))**30 assuming o is positive.\nAnswer: o**(5075\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 6, -4*t - 2*g + 5*g = -26. Calculate the highest common divisor of 40 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*m - 133 = 0, f + 4*m - 54 = 3. Suppose 5*d - 2*w + 181 = 0, -9*w + 5*w + 47 = -d. Let i = d + f. Solve -i = -2*t + 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-29)\/2)\/(1\/(-2)). Let g = 31 - h. Is 20 a factor of (-15)\/g*(-264)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -565 + 1177. Let o = -612.01615 + m. Round o to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26, 36, 66, 128, 234, 396, 626?\n\"Answer: 2*h**3 - 2*h**2 + 2*h + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 123 = 5*d. Let o(m) = 20*m**2 + m. Let t = -126 + 127. Let q be o(t). Is q greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/5))**(-22\/5)*(a**(-3\/7))**(-37) assuming a is positive.\nAnswer: a**(3391\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + a**2 + a - 1. Let f(q) = -7*q**3 - 2*q**2 - 2*q - 10. Let j(x) = f(x) - 6*o(x). Is j(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42161 - -3570410900.\nAnswer: 3570368739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -370, -833, -1596, -2659?\n\"Answer: -150*i**2 - 13*i - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28106 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 9*z**2 - 19*z - 11. Let o(i) be the second derivative of 5*i**4\/12 - 5*i**3\/3 - 3*i**2 + 463*i. Calculate -7*o(m) + 4*s(m).\nAnswer: m**2 - 6*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*j - 6*j. Solve -j*s + 0 = -10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 6*x - 8. Let l be q(-4). Let o(w) = l - 5*w + 17*w - w**2 - 20. What is the units digit of o(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 272 or 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1294*n - 9304 = 23*n - 47497 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -150. Suppose 5*a = 5*h + 290, -5*h + j = -0*a + 2*a. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/8 of a hour?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 - 20884*p + 146080. Determine j(7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1349*q + 793*q = -77112 for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -v - 12. Suppose v*f + 2*z = 90 + 42, -5*f + 165 = -5*z. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 k when three letters picked without replacement from wkwjyyjkwywymykw?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/15, -5, -2\/3, 3.9, 9, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 divided by -6.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.18 + 0.08. Let i = 0.3 + -5.3. Put s, 0.4, i in ascending order.\nAnswer: i, s, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 740 + -739. Put -15, -2, -5, w in descending order.\nAnswer: w, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-4)*(-1 - 1). Suppose -17*y - 45 = -22*y. Suppose y*v - 15 = -3*b + 4*v, 3*v = 0. Solve b*j - 9 = 5*g + 1, p*j = -2*g - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 201.557 + -2.\nAnswer: 199.557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -17, 1, -3, 4, 8 in descending order.\nAnswer: 72, 8, 4, 1, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1339 divide 281593039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 32.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brbqzbbi. What is prob of picking 1 i and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24733, -14075, -3417, 7241, 17899, 28557?\nAnswer: 39215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1201 (base 4) to base 15\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djrj when four letters picked without replacement from {j: 3, d: 3, r: 2, f: 7}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**4 - 48249*s**3 - 2614701*s**2 + 8181801*s - 5518854 = 0. What is s?\nAnswer: -57, 1, 2, 16137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (7 + -2)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -66 (b) 46\/13 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310079466?\nAnswer: 2, 3, 17226637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12459*g**2 - 37384*g**2 + 12459*g**2 + 12464*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -1154*w + 515. List the prime factors of a(-7).\nAnswer: 13, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/5)\/((-8)\/20). Suppose -x*j = -j - 27. Suppose -4*h - 31 + 131 = 0. Calculate the remainder when h is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*q + 6 - 6 + (3 - 3 - 1)*(q + 2 - 2)*(-2 - 1 + 2).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -686, -5566, -18854, -44768, -87526, -151346, -240446?\n\"Answer: -703*w**3 + 14*w**2 - w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((((-24)\/(-21))\/(-4))\/7)\/((-6)\/(-42)). Let h = 0.7 - -0.3. Let z = -0.5 + 1. What is the closest to h in b, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 66 = 395. Let j = -13 + f. Calculate the remainder when j is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -113*l + 172*l + 64*l**3 + 38*l**3 + 21*l**3 wrt l.\nAnswer: 738*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 48, 201, 458, 819, 1284?\n\"Answer: 52*s**2 - 3*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2584 + -1468. Let d = 1117.267 - i. Round d to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011212212112 (base 3) to base 10\nAnswer: 1690457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 22*s - 25*s - 5 = 0, y = 5*s + 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-two fifths of a micrometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b = 4*b - 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 + 3*t + 3. Let x(s) = 25*s**2 - 35*s - 35. Let i(d) = -3*x(d) - 35*y(d). Factor i(b).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 8. Calculate f(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 17*s**2. Let z(n) = 9*n**2 - 2*n - 6. Let l(y) = 11*y**2 - 3*y - 9. Let x(t) = -2*l(t) + 3*z(t). What is o(x(v))?\nAnswer: 425*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160 divided by 160.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**4\/24 + 2*z**3 + 4*z**2. Let g be n(0). Let o be (3\/(-4))\/(2\/(-8)). Calculate the highest common factor of o and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -108 and 0.853437472867.\nAnswer: -107.146562527133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 2*p**2 - 4*p - 2. Let n(t) = 4*t**3 + 9*t**2 + 15*t + 9. What is 9*f(u) + 2*n(u)?\nAnswer: -u**3 - 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -0*l - 3*n - 23, l = 3*n + 17. Let y(q) = -2*q**2 + 4*q. Let s be y(l). Solve 5*r + 4*a - 1 = 0, r + 4*a + 2 + 1 = s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2353985 by -1.\nAnswer: 2353985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 745 and 23275.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-4) + 19\/(-44). Let v = -7.5 - -7. Which is the nearest to x? (a) -5 (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4475, 6397, 8309, 10205, 12079, 13925?\n\"Answer: -c**3 + c**2 + 1926*c + 2549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.78.\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3758483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26189619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/3 - 2294*t**2\/3 - 189904*t - 13547040.\nAnswer: -2*(t + 156)**2*(t + 835)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 183 divided by -61\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*b - 12*x + 48, -b - 5*x - 9 + 7 = 4 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 317790005?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -231*u + 220*u - 77. Let g(h) = -11*h + 2. Let w(m) = 5*m - 1. Give u*w(n) - 3*g(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times 1.31286?\nAnswer: -0.787716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.715 (b) -2\/11 (c) -2 (d) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1679\/2 - -869. Suppose 4*f + 2*b - 38155 - 53953 = 0, -8 = -4*b. Let q = 460613\/20 - f. Find the common denominator of d and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125 (base 6) to base 5\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -9. What is the smallest common multiple of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 951440 and 20388?\nAnswer: 2854320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 395166721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 5*s**2 - s + 1. What is the remainder when j(-4) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1192863 at least as big as -1192890?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2733238.23633+-25\nAnswer: -2733263.23633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1 = -5*m - 1, 4*n = -4*m - 16. Let p be (2\/5)\/(m\/(-15)). Solve -d = 2*d + p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0454667 + -0.02453302. Let q = 0.07 + i. What is q rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j - 5. Let y(s) = s. Let u(x) = r(x) - 2*y(x). Let f = -1 + 3. Suppose -3*g - f*o = 1 - 9, 3*g + 5*o + 7 = 0. Let d(m) = -1. Give g*d(z) - u(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 563, -2\/11, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 788 + -791.97. Let x = q + 3.7. Let m = x + 0.27. Which is the nearest to m? (a) -4 (b) 0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-7)\/(42\/(-3)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3050.62 millennia to years.\nAnswer: 3050620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1399 is divided by 399?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -6*k**3\/5 + 1842*k**2\/5 + 1848*k\/5 = 0.\nAnswer: -1, 0, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 11*l - 20. Solve -w - 4*w - 15 = x, 4*x - l*w + 12 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*i - 9 - 8 - 9 - 7*i**2 + 26 + 2*i**4 to the form c*i**2 + x*i**4 + j*i**3 + o + t*i and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, -369, -777, -1343?\nAnswer: -2067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r = 1, 5*n + 3*r - 44968 = 0. Suppose -2177 = 4*c - 4*k - n, -c - k = -1708. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -10, 180 in ascending order.\nAnswer: -10, 31, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 + -0.5. Let t = -143 + 2147\/15. Sort c, t, -5 in descending order.\nAnswer: t, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -2*r**7\/105 + 9*r**2\/2 - 7*r. Let o(c) be the first derivative of m(c). Solve o(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 4*t**2 + 5*t - 6. Let b = -4 - -1. Let n(j) = j**3 - 3*j**2 + 4*j - 5. Determine b*m(l) + 4*n(l).\nAnswer: l**3 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*s = -8*r + 139, 0 = r - 3*s - 37. Let u = r + 257. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3795804293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -22 - 7) + (23 - 0) + (-177 - -183)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14696 is divided by 4872.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (23 + -3)\/(-5) + 72?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14970286 to the nearest integer?\nAnswer: 3869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1892886, -3785748, -5678610?\n\"Answer: -1892862*m - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3)\/(-6)*38)\/((-8)\/(-64))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/112)\/((-8)\/7)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1514, -6095, -13738, -24449, -38234, -55099, -75050, -98093?\nAnswer: -124234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -225447 + 5?\nAnswer: -225442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, o: 2, m: 4}. What is prob of sequence mo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 61365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-35))\/((((-960)\/315)\/(-16))\/2)\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 137*y**6\/120 - 7*y**5\/12 - 117*y**2. Find the third derivative of t(i) wrt i.\nAnswer: 822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -136, -192, -274, -394, -564, -796?\n\"Answer: -2*u**3 - u**2 - 39*u - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1530.21g?\nAnswer: 1530210000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l - 27 = -53*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -281, -280, -279?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-275*h + 1 + 263*h + 1)*(-7 + 13 - 33).\nAnswer: 324*h - 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 301999281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7680022.14 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -7*n + 2*n - 17, -n = 3*m - 5. Suppose 182*k + 236 = 186*k. Suppose 6*t - k = -17. Put 0, n, t in decreasing order.\nAnswer: t, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 3\/8*q**4 + 3*q**2 - 1\/12*q**5 + 18*q - 1\/2*q**3 + 1\/8*q**6 + 0. Find the second derivative of d(f) wrt f.\nAnswer: 90*f - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7299 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -234288 + 234180.091. Let k = 108 + o. Let f = k + -0.0909959. What is f rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(8)\/((-1*sqrt(36))\/sqrt(9)) - (sqrt(128)\/sqrt(4) + -3))**2.\nAnswer: -30*sqrt(2) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 26, -1 in decreasing order.\nAnswer: 26, -1, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(1573) + -2) - (1 + sqrt(1573))*-4)**2 + ((((-2*sqrt(1573) - sqrt(1573)) + sqrt(1573))*2 - (sqrt(1573) - 4*-1*sqrt(1573)))*3)**2)*3.\nAnswer: 660*sqrt(13) + 3445170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(80\/(-92)) + 24\/(-60)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 69262094.6 from 4530.\nAnswer: -69257564.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, n: 1, h: 3}. Give prob of sequence hnh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9321.546 meters to nanometers.\nAnswer: 9321546000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4231670.7 rounded to the nearest one thousand?\nAnswer: -4232000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyyyyvjlyyjy. Give prob of sequence lvy.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*r**3 - 14652*r**2 + 331536*r + 95920 = 0.\nAnswer: -545, -2\/7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 344039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 10:01 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**3\/6 + r + 13. Let c(b) be the third derivative of -b**5\/15 + 7*b**2. What is v(c(p))?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-97)\/12 + (-20)\/10 and -23\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, u: 1, x: 1, g: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -49e (base 15) in base 14?\nAnswer: -54d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32.59 - -29.536. Let h = o - -0.054. Which is the smallest value? (a) -4 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31*0.2493832\nAnswer: -7.7308792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*z - 76, 5*u - 2*z = -0*z + 95. Solve 10 = -2*c, -4*c - u = -4*b - c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from reeererrreer. What is prob of picking 4 e?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bolellleelbllellnl. What is prob of sequence ob?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-758)\/(1 + 1))\/(-1). Let n = b + -374. Solve n*d + 22 = -m - 3, 4*m - 4*d = 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence maaz when four letters picked without replacement from dttmzta.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-4)*(-75)\/25\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 3*i**3 - 5*i**3 + i**2 - i**2 - i**3 + (-3*i**2 + 2*i**2 - i**2)*(i - 1 + 1) + 16*i**3 + 38*i**3 + 16*i**3.\nAnswer: 63*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 520 and 46?\nAnswer: 11960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -11*z**2 + 264*z - 19. Let d be h(24). Let b(s) = 2*s**2 + 36*s - 47. What is b(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 10 = 2*m + 2, -4*z - 4 = -m. Suppose 8 = -0*i + m*i. Suppose 39 + 7 = i*a. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p - 8 + 8 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -10*u**2 + 40*u. Let r(z) = -z**2 + 2*z. Let a(j) = -c(j) + 20*r(j). Let i(l) = 5*l. Determine a(i(x)).\nAnswer: -250*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 8:01 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 3*m**2 - 3. Let v = 2 - 0. Calculate the remainder when v is divided by l(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 10. Let s be 6\/((60\/(-16))\/o). Suppose 0 = -0*y + 4*y - 64. Calculate the highest common divisor of y and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2515, 4807, 6981, 8977, 10735, 12195?\n\"Answer: -10*k**3 + k**2 + 2359*k + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/42*(-153)\/(-34).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 8*m**2. Let v(w) = 79*w + 508*w - 15*w + 110*w - 37*w. What is h(v(r))?\nAnswer: 3328200*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7092086 is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10876, 21534, 32194, 42856, 53520?\n\"Answer: t**2 + 10655*t + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -271.27 rounded to the nearest ten?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 160?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-6)*o\/(o\/(o*o**(5\/6)*o*o)*o))\/(o**(3\/5)\/(o**3\/o)) assuming o is positive.\nAnswer: o**(-23\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 16*d**2 - 11*d - 11. Let b(f) = 3*f**2 - 2*f - 2. Let i(t) = 11*b(t) - 2*r(t). Let v(h) be the first derivative of -4*h**3\/3 + 1. Give i(v(o)).\nAnswer: 16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 44 - 10 = 0. Suppose -r*t + 15 = -12*t. Suppose t*u - 925 = -2*u. What are the prime factors of u?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8614*n + 574*n - 2 + 2 - 1287*n.\nAnswer: -9327*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -1. Let d(y) = 6*y - 7. Let j(m) = -m**2 - 20*m + 3. Let a be j(-20). Let f(p) = a*x(p) + d(p). Differentiate f(h) with respect to h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1481 (base 9) in base 7?\nAnswer: 3166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -346*w + 11054. Give q(32).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 75.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -12*u. Let k(b) = -6*b**2. Give k(j(m)).\nAnswer: -864*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.5 - 0.5. Let j = q + 10.98. Let h = j - -2.02. Which is the third smallest value? (a) 0.2 (b) 0 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (28\/(-35))\/(2\/(-25))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2025747 (base 8) in base 9?\nAnswer: -1005540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = m - 556, 0 = 3*m - 2*m - 2*o - 555. Suppose -g = 6*g - m. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -11 - 17*h - 7*h**2 + 0*h**2 - 7 - 10*h**2 + h**3. Let p be a(18). Suppose -10*b + 2 + 48 = p. Solve 2*f = 3*c - 3*f - 18, -10 = b*c + 5*f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a meter in millimeters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 197020*h**2 + 197024*h**2 - 2*h + 3*h.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5 - 0.4. Let k = b + 19.9. Let j = -136 - -135.9. Is j bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54013575 divided by 383075?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 h when three letters picked without replacement from {u: 1, z: 2, h: 1, v: 6, b: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x**2 - 1085*x + 2375. Calculate h(216).\nAnswer: 1295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21228 and 719825559?\nAnswer: 5307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 204*u**2 - 7*u - 1051*u**2 + 5 + 5*u + 3*u.\nAnswer: -1255*u**2 + 2*u + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/15)\/(2\/(-20)). Suppose 18*m + 74 - 87 - 383 = 0. Solve 2 = l*f - m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4684 - -6.686.\nAnswer: -4677.314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = -17*h - 3. Sort h, 2, 1 in ascending order.\nAnswer: h, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**4\/4 - 73*z**3\/4 - 145*z**2\/2 - 71*z - 18 = 0 for z.\nAnswer: -2, -1, -2\/5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 670486293.\nAnswer: 3, 29, 2568913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14884 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-406)\/145)\/((-4)\/220). What is the greatest common factor of t and 847?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 141*u**2 - 600*u + 612.\nAnswer: 3*(u - 2)**2*(u + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2647970 is divided by 107?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8790030 divided by 18?\nAnswer: -488335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37883 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5664546 rounded to 2 dps?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 3 + 5 = 4*d, -5*g - 10 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108000 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-15)\/7)\/(9\/(-21))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105826\/24 + (-8)\/(-24) - 42\/56?\nAnswer: 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 1. Let w = t + -7. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + -8 + (16 - 6).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 11. Let r be -1 + (q + 1 - 1). Let o = 29 - 23. Calculate the highest common factor of o and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.551 * -0.09\nAnswer: 0.04959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 44 = -4*p - 35, -4*p - 145 = -5*d. Let q(u) = 6*u**3 - 2*u**2 + 3*u + 4. Let s be q(3). Suppose -4*r = d - s. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(5) - (sqrt(5) + 3)) + sqrt(5) + 3)**2 + (sqrt(500) + (sqrt(500) - (sqrt(500) + 0)) - sqrt(125)*6)**2.\nAnswer: 1990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 - 87*m - 344. Let s be h(-39). Let b(x) = 29*x**3 + 6*x. Let g(d) = -30*d**3 - 7*d. Give s*b(c) + 6*g(c).\nAnswer: 23*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**5 + 364*i**4 - 2728*i**3 + 1616*i**2 + 4704*i = 0. Calculate i.\nAnswer: -98, -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 3*b**2 + 4*b - 96. Give y(0).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33506600 and 1044?\nAnswer: 301559400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16565271103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -14*k**2. Let m(h) be the third derivative of h**5\/20 + 2*h**3 - 5*h**2 + h. What is m(c(b))?\nAnswer: 588*b**4 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/910*(-91)\/21 + (-2156)\/(-30). Solve 354*s = 336*s + w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159911894 to the power of 1\/3, to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 13*d + 31. Let a be m(9). Suppose y + a = 5*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4652\/8480 + (-10)\/25. Let q = 12\/53 + u. Let -9\/8*i - q*i**3 + 0 + 3\/8*i**4 - 15\/8*i**2 = 0. Calculate i.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-10) - 765365\/400. Let l = 1918 + w. What is the common denominator of l and (-113)\/(-30) + (-2)\/(-5)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 0.08 (b) -0.4 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23950, 23765, 23246, 22225, 20534, 18005, 14470, 9761?\n\"Answer: -28*d**3 + d**2 + 8*d + 23969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -3*s + 60. Let b be s\/70 + 15\/28. Sort b, 3\/2, -4 in descending order.\nAnswer: 3\/2, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -9*k**5\/2 - 1229*k**4 - 109342*k**3 - 3111436*k**2 + 3100864*k + 7138560 = 0.\nAnswer: -104, -66, -10\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 10:33 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -5*k**3 + 15*k**2 - 15*k + 5 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 + d - 5. Let y(g) = g**2 - g - 1. Suppose 1033*t + 60 = 973*t. Determine t*s(n) + 4*y(n).\nAnswer: n**2 - 5*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 375, 770, 1177, 1602, 2051, 2530?\n\"Answer: i**3 + 388*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 38 - 2*a**3 - a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, f: 4, d: 6, k: 5}. Give prob of sequence jfjj.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24782 + 39 + (4 - 2). Suppose -d - 82342 = -5*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2 - 13. Suppose -7*v + 2*v + w = 0. Suppose v*o + 3*y + 8 = 5*o, -o + 5*y = 10. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172524 divided by 4.\nAnswer: 43131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from sbtmmjsjsmbbe.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 3\/20*k**5 - 9*k**2 + 42 - 23\/4*k**3 + 108*k + 3\/8*k**4. Factor a(s).\nAnswer: 3*(s - 3)**2*(s + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**2 + 2*t - 6. Let s be y(-4). Suppose -g + 6*g - 55 = 0. What is the remainder when g is divided by 22\/3 - 22\/s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 11:40 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 138 + -143. Let u = 4.9 - 5. What is the closest to u in 0.2, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -373487 + -0.8.\nAnswer: -373487.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1824 + -3625\/2. Let u(r) be the first derivative of 0*r + 0*r**3 + q*r**2 + 20 + 17\/4*r**4. Find the second derivative of u(c) wrt c.\nAnswer: 102*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*t + 46 = -4*h + 297*t, -h = -4*t - 55 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10 + (430\/(-55) - 2). Sort 0.4, -8.2, 0.6, v in decreasing order.\nAnswer: 0.6, 0.4, v, -8.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -2*t**7\/21 + t**4\/12 - 2*t + 4. Let k(f) be the first derivative of a(f). What is the third derivative of k(r) wrt r?\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -30876*b + 92586. Give l(3).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - 38. What is the remainder when 75 is divided by 3 - (p - 6) - 26\/(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32090 divided by -6418.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 26, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 7377.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 5*h - 4. Let d = -73 + 71. Let c be t(d). What is the third derivative of 6*w**2 + 6*w**6 + 33*w**2 + 4*w**c - 3*w**2 wrt w?\nAnswer: 720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 + -10001001010110011001000111?\nAnswer: -10001001010110011000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**2)**31 assuming v is positive.\nAnswer: v**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 147812 and 1583700?\nAnswer: 11085900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 6900*z - 20736.\nAnswer: 4*(z - 3)*(z + 1728)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 104424 divided by 114?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 3:49 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 288.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 687 divide 1215611656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 251846537 or 251846536?\nAnswer: 251846536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14614 + 8734 = 4*z. Suppose -2*l - 1899 = -z. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62150268.3829 - -0.05?\nAnswer: 62150268.4329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + -4043?\nAnswer: -4032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -354 + 498. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -5 (b) 0.06 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 14. Suppose -16*z = -17*z + a. Suppose 5*k = 2*p + 11 - 40, 31 = p + 3*k. Calculate the greatest common factor of p and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27406660 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*p - 32.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1230881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.4, -2, -3, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 722730?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 - 5*o + 11. Let b be v(5). What is the greatest common factor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -50?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 4 + u**2)*(-2*u + 4*u + 0*u) + 2*u - 2*u + u**3)*(59*u + 0*u + 7*u) in the form b*u**4 + a*u + w + l*u**3 + o*u**2 and give b.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 7*h**2 + 10*h + 11. Let d be x(-8). Let a = d + 8. Which is smaller: a or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 1) + (112 - 81).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 6*i**2 + 5*i - 2. Let g be w(7). Let v = g - -10. Is (1 + -4)*40\/v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/7)*k**(-6\/5)\/k*k*k**(-3)*k*k*k*k**(-1) assuming k is positive.\nAnswer: k**(-67\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.30415 and -0.42.\nAnswer: 0.127743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/75471520 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12906253 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 8 - 4)*(4 - 5 + 0)*(2*b + 1 - 1).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000001011001010000 (base 2) to base 10.\nAnswer: -792144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 8) in base 6?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 11) in base 5?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 7*q - 3. Let n be w(-6). Let b = -14 - n. Let t = -0.3 + 1.3. What is the closest to t in 0.5, b, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*n + 10 - 13 + 1 as i*n + b and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, u: 1, z: 1, k: 1, e: 2, p: 1}. What is prob of picking 2 e and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-196)*7 - (-205)\/(-180).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8.156547 hours?\nAnswer: 29363.5692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 4 + 7)*(3*b**4 + 0*b**4 - 2*b**4)*(1 + 0 + 1)*(2 + 1 - 4) to the form u*b**2 + c*b**4 + i*b + w + q*b**3 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -56442703?\nAnswer: -56442700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**2\/2 - 7. Let t(j) = -21*j**2 + 26*j**2 - 5 + 5. Give t(a(l)).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - p - 31, 0 = -3*g + 4*p - 6 - 50. Let c = g - -27. Let i be (8\/(-3))\/(14\/(-63)). Solve -5*m + 5*v = c, -3*m - 2*v = i - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 895 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*i - 3. Let a(x) = 2*x. Let n be a(i). Let d(t) = 29*t**2 - 4*t - 2. Is d(n) a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -62 less than or equal to -59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0*d - 4*d)*(353 - 353 + 317*d)*(0 - d + 0).\nAnswer: 1902*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 99 - 109. Let q(z) be the first derivative of 4 + 0*z - 1\/3*z**3 + 0*z**t. Factor q(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 3, -2*s + 5*i + 15 = 4. Put 0, s, -4 in ascending order.\nAnswer: -4, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -109, -171, -235, -301, -369?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**6\/120 + 2*a**5\/3 - 37*a**4\/6 + 24*a**3 - 1041*a**2. Factor d(n).\nAnswer: -(n - 36)*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305, -620, -947, -1292, -1661, -2060, -2495?\nAnswer: -2972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 12*r + 61. What is the remainder when 83 is divided by g(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 314966, 2, -2\/5, 2\/11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2089 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -9*r - 3. Let h(a) = a**2 - 17*a - 8. Let c(l) = 5*d(l) - 3*h(l). Factor c(x).\nAnswer: -3*(x - 3)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -189675 and 1?\nAnswer: 189676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -b68 (base 16) in base 8?\nAnswer: -5550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.5 + -14.43009. Let t = -0.07 + b. Round t to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 5*p - 71. Let j = -3235 + 3235. Suppose 2*w + 0*w - p = j. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266272 is divided by 4051?\nAnswer: 2957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 218160 - 218107. Let a(f) = 3*f**3 - 4*f**2 + 2*f. Calculate the remainder when z is divided by a(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**2 - 3*k**2 + 0*k**2 + (-2*k + 3*k - 2*k)*(-1687 + 71*k + 1687).\nAnswer: -70*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 z when three letters picked without replacement from zhhkarzkzrzaraj.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9570*i + 48847*i + 25974*i.\nAnswer: 84391*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 5051, -427 in descending order.\nAnswer: 5051, -9, -427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2504*m**4 + 3*m**2 - 2*m**2 + 2*m**2 + 2502*m**4 - 60 - 2*m**2 - m as o*m**2 + x*m**4 + z + n*m + b*m**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - -d9a?\nAnswer: da2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14856002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -2, 1, 108165, 0.2 in descending order.\nAnswer: 108165, 5\/3, 1, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/9 (b) 0.174 (c) -2 (d) 4 (e) 0 (f) 57\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 386, 377, 372, 371, 374?\n\"Answer: 2*w**2 - 15*w + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 3:54 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 627859?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -2\/5, 25\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 9. Let o = -189 - -185. Let p be f(o). Let x(u) = 7*u + 15. Let l(h) = -3*h - 7. Calculate p*l(z) + 6*x(z).\nAnswer: 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l - 18. Let c be p(6). Suppose 0 = -n - o, c = 3*n - 2*o - 3*o - 16. Suppose 2\/9*k**4 - 8\/9*k**3 - 8\/9*k + 4\/3*k**n + 2\/9 = 0. What is k?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/6 + (-325)\/(-1). What is the units digit of a\/15*(0 - -18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.51 - -28.49. What is the closest to 1 in i, 3\/4, 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85170265.\nAnswer: 5, 23, 283, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20079 and 607959.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -0.045 (c) -4\/53 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6163 rounded to the nearest one hundred?\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 9*v**2 + 5*v - 1. Let w(h) = -h**3 - 8*h**2 - 4*h. Let n(r) = 4*d(r) + 3*w(r). Is 14 a factor of n(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*w = -232*w + 126 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p**3 - 5*p + 4. Let g(z) = -11*z**3 - z**2 - 14*z + 11. Suppose -n = -7 - 1. Let h(j) = n*u(j) - 3*g(j). Calculate h(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1552562*a**2*i**3 - 7*a**2*i**2 + 17*a**2 - 120*i**2 wrt i?\nAnswer: 9315372*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*y - 315*y = 34*y + 19943 for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1586592 and 28?\nAnswer: 1586592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 7 = 2*w. Suppose -w = 2*o - 11. Solve -m + 6 = o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 234441, 234446, 234453, 234462, 234473, 234486, 234501?\nAnswer: 234518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 - -39. Suppose -d - 170 = 4*v, -2*d + 5*d + 216 = -z*v. Calculate the common denominator of 27 and ((-707)\/v - 2\/(-3))\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1134\/378*(51\/(-45) + (-1)\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 44 = -3*z, -3*z = -4*j + 20 - 1. Let t(q) = q**3 - 7*q**2 + 2*q - 8. What are the prime factors of t(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 255, 42207, 27 in decreasing order.\nAnswer: 42207, 255, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 382*u**2 - 362*u**2 - 110*u**2.\nAnswer: -90*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 5*f**6\/24 + 13*f**4\/2 - 181*f**3\/3 + 221. Let m(w) be the third derivative of g(w). Differentiate m(j) wrt j.\nAnswer: 150*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/2 + 108238*l - 649419\/2.\nAnswer: -(l - 216473)*(l - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 19 = 5*d, 2*y - 13 = -5*d - 2. Let x = d + -1. What is the remainder when 5 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 9:23 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-103 + 99 - (4 - 0)) + (-1 - -1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-3) - 2996\/(-321)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8, 569, 2772, 7615, 16112?\n\"Answer: 169*m**3 - 201*m**2 - 3*m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1966 + 2090. Let q = 19.6 + -20. Which is the nearest to -0.1? (a) 0.1 (b) i (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/13635 and -46\/8181?\nAnswer: 40905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/96*5\/(-2)*1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/2 - -1)*108. Let a = 75 + -28. Let s = a + -17. Calculate the greatest common factor of s and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.089309 + 0.0893045751. Round v to seven decimal places.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/7 (b) -7 (c) -1.114 (d) -5 (e) 1\/64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3 + 82780*s**2 + 11285824*s + 384032448 = 0. What is s?\nAnswer: -68, 41526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p + 9. Suppose -115 = 9*b + 110. Let m be i(b). Suppose -5*g - 2*s + 1109 = 0, 2*g - m = -3*s + 364. Is 17 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/5, 85, 2\/13, -0.3 in increasing order.\nAnswer: -4, -2\/5, -0.3, 2\/13, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*m = 0, -3*l + l = -2*m - 4. Let s = l - -8. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -67.\nAnswer: 4\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from wzpphfp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by (1 + 0)\/(3\/72)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11131 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 11*r = -4*l - 8823, 3546 = 2*r + 4*l. Let g = r - 1086. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3 - 3 = 0. Suppose 83 = 5*f + b, f - 23 = -f + n*b. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 5, m: 8}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22.1 and -0.202928?\nAnswer: 21.897072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1306, 1, -2, -0.3, 9 in increasing order.\nAnswer: -1306, -2, -0.3, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 + 55. Solve d - 5*r + 15 = 0, 2 = r - j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + a = -16, -16 = 4*w - 5*a - 0*a. Let x(o) = o**2 - 3*o. Let p be (-1 + -9)*12\/(-30). Let s be x(p). Sort 3, w, s in ascending order.\nAnswer: w, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 354300 (base 8) to base 6.\nAnswer: 2332144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.04982 rounded to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 184*q**2 - 3*q - 180*q**2 + 0*q - q**3 - 7. Determine a(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 170 = -0*n - 2*n, 2*n = 4*b + 168. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107661 - -0.2529804245\nAnswer: 107661.2529804245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 12:21 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + q + 2 = -3*u, -2*u = -q + 4. What is the units digit of (2\/4)\/(u\/(-60))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yey when three letters picked without replacement from yeyey.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52642208, 105284402, 157926596?\nAnswer: 210568790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z - z + 0*z)*((-2*z + z + 0*z)*(-z + 0*z + 5*z) + (0 + 0 + 2*z)*(0 + 0 + z)) to the form h*z + s*z**3 + i + c*z**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4 = 0, -2*i + 5*i - 35 = c. Suppose -38 = -2*u + 3*d, u + 0*d = -2*d + 5. Are u and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k**2 + 2 + 2 + 0 - k**3 + 0*k**3. Let p be d(5). Suppose 4 = p*n - 0. Solve -n = -3*c + 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -18.29?\nAnswer: 14.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 5*i = 24 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 522.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 - 3*t + 9. Calculate the smallest common multiple of j(3) and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 4)*(f - f + f)*(3*f + 2*f - 3*f + (3*f + 5*f - 6*f)*(-3 + 0 + 1)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -10. Let f(g) = g + 1. Let z(p) = p + 1. Suppose 5*w - 5 = 0, 2*n - 3 = 4*n + w. What is n*f(q) + x*z(q)?\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3535 * 71\nAnswer: 250985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 2*g - 5*d + 4, 2*g = 2*d + 2. Suppose -3*n + 0*n = g. Is 3*(0 - 1)*n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z\/((z**(2\/85)*z)\/z*z))\/z*z)**(-7\/10))**(-33) assuming z is positive.\nAnswer: z**(19404\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*k, 2*k - k = 2*u. Let h(d) be the second derivative of 0*d**3 - d + 1\/26*d**4 - 1\/130*d**5 + u*d**2 + 0. Factor h(a).\nAnswer: -2*a**2*(a - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -33*p**4 - 2568*p**3 + 3075*p**2 - 474*p = 0?\nAnswer: -79, 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/39? (a) -4 (b) 3 (c) -1\/33444 (d) 0.3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 316 + -288. Solve -2*b + 4 = -0, 5*t - 4*b = -a for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r - 4*r + 3*r - 13. Let b be v(9). Let s = -25 + 27. Solve 3*z + 15 = s*n, b*n - 14 - 6 = 4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11268 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011011011010001000000 (base 2) in base 6?\nAnswer: 144110544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 33 = 62. Let d = b + -13. Let q = 2 - 3. Which is smaller: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -204, -330, -490, -690, -936?\nAnswer: -1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 3*d - 2*d = -15, -6 = -2*d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1051447, -2102883, -3154305, -4205719, -5257131?\nAnswer: -6308547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zlyrzlhyv. Give prob of picking 1 y, 2 l, and 1 r.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 10 = -5*s, -3*y - 10 = 5*s - 8*y. Suppose 16 = 5*q - 109. Let c = 126\/5 - q. What is the biggest value in s, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -169*n**4\/3 + 186095*n**3\/3 + 158482*n**2\/3 - 987980*n\/3 + 215992 = 0?\nAnswer: -3, 14\/13, 1102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 6*f**2 - 11 - 5*f**2 + 2*f + 10*f + f**2. Calculate t(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-8))\/((3744\/128)\/39)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.217 and -2.\nAnswer: -2.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 13 = -3*i + 2*o, i = o + 2. Let r**3 - 4*r**2 + i*r**2 + 0*r - r + r**4 = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -12.93. Let r = -3.07 + h. Let g be (-17)\/(-51) - (5 - 96\/20). Put 0.3, g, 7, r in increasing order.\nAnswer: r, g, 0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, e: 2, h: 3}. What is prob of picking 2 h and 1 f?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 0, -1, -1\/9, 0.16, -1\/86, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2924 and 1728?\nAnswer: 1263168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x + 2*x - 2*x + 0 + 0 - x + 2 + x - 2 + (-1 + 1 + 2)*(196 + 16*x - 196) + 0*x + 4*x - 3*x - 2*x - x + 2*x + (0 + x + 0)*(-1 - 4 + 3).\nAnswer: 32*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 + 4*o**2 - 111*o + 228*o - 126*o in the form r + h*o + a*o**2 and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8924.24 - -3.\nAnswer: -8921.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541645850 a multiple of 3311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 1176.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/188 and -25?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*x - 42. Suppose -3*u - 166 = -5*m + 2707, -2300 = -4*m + 4*u. Suppose m*l + 366 = 580*l. Calculate the remainder when l is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 52919.108 to the nearest ten.\nAnswer: 52920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3761280 divided by -752256.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) - (4*(-1 + sqrt(1331)) + sqrt(1331) - sqrt(1331)))**2 - (sqrt(1331) + -6*-1*sqrt(1331)))*6 - (4 + sqrt(1331)*2*1 + 5).\nAnswer: -2068*sqrt(11) + 71961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w. Let p(k) = k. Let j(o) = -a(o) + 4*p(o). Let g(c) = 2*c**2. Give j(g(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 11*g + 5*g. What is the closest to g in 0, 8, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1752\/18)\/(1\/(-6)). Let h be (4\/(-3))\/(c\/12). Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 46*r - 4555. Determine x(99).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/28*7464\/(-10). Let b = u - 569. Calculate the common denominator of (-1295)\/(-60) + 9\/12 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 1 = h. Let m = -40.6 + 41.1. Which is the smallest value? (a) h (b) -5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 6. Suppose 5*g + 4*n = r*n + 413, n = 2. Let c(y) = -83 - 2*y + g. Let z(s) = 4*s. Calculate c(z(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/((-16)\/6) - (-248 + -2). Let g = f + -140. What are the prime factors of g?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 37, -0.6, -0.5, -5, -4305?\nAnswer: -4305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*t - 305, -t - 2*t - 2*c + 181 = 0. What is the remainder when 114 is divided by t?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 29*d - 6. Does 2 divide h(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14 - (-14715 + -16 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12)\/28 + (58\/(-21))\/((-122)\/2235894)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -844 (base 9) to base 2\nAnswer: -1010110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290298*v**2 + 580580*v**2 - 290280*v**2 - 91*v**3.\nAnswer: -91*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -1. Let z(l) = l**2 - 7*l - 8. Let p be z(8). Sort p, u, 3 in decreasing order.\nAnswer: 3, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 139 = 4*u + f, -u + 31 = -2*f. Solve -u*j + 39 + 2 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 + -2)\/(-3) - 2. Let g = h - -24. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 18 (b) -0.4 (c) 1 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 12) + 5 + 3 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 22. Suppose 17 = z*g + 1. Suppose -6*i = -5*i - g. Calculate the greatest common factor of 56 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 12*p**3 + 372*p**2 - 42*p - 1352. Determine j(-31).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.036, -212, 2\/3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/471168 and 17\/784?\nAnswer: 23087232","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 105?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m - 182 = -106. Solve -5*l - 20 = m*n + 21, -3 = 3*l - 3*n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/14 + 2)\/(48\/(-56))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + w**2 - w**2)*(-70*w + 139 + 173 - 301).\nAnswer: 140*w**3 - 22*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**5\/20 - 2*b**4\/3 + b**3\/6 + 9*b**2\/2 + b. Let o be a(-8). Which is smaller: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -8 - (20 - 20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4655655489.168 and 0.049?\nAnswer: 4655655489.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 5. Is k at most as big as -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (4 + -3 + 3 + -14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-0.029.\nAnswer: 0.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 9*g**2 - 19*g - 17. Let f be o(-7). Suppose 0 = 5*y - 2*y - f. Suppose 0*v = -y*v + 240. Calculate the remainder when v is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 2*v**2 - 4*v - 2. Give o(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5318695ms in minutes?\nAnswer: 0.000042197825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - 5*y + 33, -7*q - 3 = -31152*y + 31154*y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 6, 14, 24, 36, 50, 66?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 30*x - 9. Let w(c) = 15*c - 4. Let f(d) = -3*t(d) + 7*w(d). What are the prime factors of f(2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, d: 3, o: 2, i: 3, a: 6}. Give prob of sequence iaai.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97 - -118. Let s be 1\/(-3) + (-14)\/m - -261. What is the greatest common divisor of s and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, d: 1, r: 5, j: 1, y: 1, l: 1}. What is prob of sequence ygl?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -324*d**2 + 22*d**2 + 81 + 9*d**4 + 65*d**2 + 21 - 162*d**2 + 159*d + 129*d**3 = 0.\nAnswer: -17, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 3*m**2 + 241*m - 36. Determine f(-17).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 10. Let s = -118 + 112. Does 24 divide (-10)\/i*41*s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-6 + 11 - (0 - (0 + -1))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -3*j - 4*f - 160, 0 = -4*j - 2*f + 250. Suppose 0 = -2*d - 2*d + j. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2015500 (base 9) to base 11\nAnswer: 673593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 24 = -10*n. Let f be ((-16)\/(-6))\/(n\/828). Let k be 13\/39 + (f\/(-546) - 1). Is k smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3010313133 (base 4) to base 8.\nAnswer: -3046737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.07 (b) -2\/11 (c) 0.3 (d) 1\/62 (e) -0.3 (f) -0.5 (g) -30\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**4\/12 + 8*d**3\/3 - 15*d**2\/2 + 3*d. Let q be u(-17). Let m(n) = 6*n - 1. Give m(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.48 - 0.22. Let o = -3.9 + w. What is o rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -125514, -125503, -125492, -125481, -125470?\n\"Answer: 11*r - 125525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(15)\/(sqrt(147) + sqrt(147)*4 + sqrt(147) - sqrt(3)) + sqrt(20)\/(sqrt(4) - -1*sqrt(484)))**2.\nAnswer: -70225\/242064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 78486, 313951, 706392, 1255809, 1962202, 2825571?\n\"Answer: 78488*c**2 + c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2*h**3 - 1 + 2.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 2*j - 13. Let b be f(3). What is the derivative of 36 + 36*h**b - 19*h**2 - 106 + 2*h wrt h?\nAnswer: 34*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**5\/20 + 5*n**3\/4 + 5*n**2\/4 - 6*n + 174. Find m such that t(m) = 0.\nAnswer: -3, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-5) + 36\/(-65). Let b = 4329 - 4333. What is the biggest value in b, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 16*k + 12*k + 52, -5*g - 68 = -3*k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002322075 rounded to 5 decimal places?\nAnswer: -0.00232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(99)*-1).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times -8.84?\nAnswer: -0.2652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3042 and 3511482?\nAnswer: 10534446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 5:24 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11 - 15 - 13734*-6. Suppose 12*k + a = 16*k. Round k to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128117\/4 or 32028?\nAnswer: 32028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.072 + 0.108. Let w = -4 + 3.2. Let b = w - m. What is b rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3 - 12 = 0. Let d be (-10)\/(-25) - 2\/y. Let g(b) = b**2 - 7*b - 2. Let u be g(7). What is the nearest to d in -1\/4, -4, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363.034 minus -8870?\nAnswer: 9233.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 3*g + 12. Let l be t(5). Solve 4*c = l*z - 22, 17 = 3*z - 3*c - 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-30)*(24\/12 - 50).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**2. Let l(u) = -50*u**2. Give l(z(w)).\nAnswer: -1250*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27955099?\nAnswer: 19, 1471321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -14\/3 (c) -1\/16 (d) 10 (e) 0.1 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6 - 2*p - 11 + 22 - 8. Determine m(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211 a multiple of 348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75 - 9920\/128)*64\/(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.10798140900299 - -0.051.\nAnswer: 0.15898140900299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 2:04 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 33\/6)\/((-3)\/(-4)). Let l(v) = v**2 + 15*v + 16. Let z be l(-14). Solve 0 = z*y - t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 0 + 10 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -185, -243, -307, -377, -453, -535, -623?\n\"Answer: -3*v**2 - 49*v - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 8. Let f be (1\/3)\/(s\/468). Suppose -4*i = y - 241, -y - f = 2*i - 275. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 11:47 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**4\/5 - 54*p**3\/5 - 2*p**2\/5 + 54*p\/5 = 0.\nAnswer: -1, 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**3\/3 - 2*z. Suppose -4*p + 4*l = -28, 4*p + p + 4*l + 10 = 0. Let w(b) = 6 - 6 - b**p. Calculate j(w(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -207158806 divided by -1\nAnswer: 207158806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5810?\nAnswer: 2, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74700055.\nAnswer: 5, 53, 281887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**4 - 3*a**4 + 4*a**4)*(1 + 1 - 5)*(-7*a + 12*a + 2*a).\nAnswer: 42*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(1\/1) - -2. Suppose -120 = 30*z - 36*z. Let t(b) = -z*b - b - 1 + 22*b. What is t(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225 and 2176920.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 3360987*z + 6721978.\nAnswer: -(z - 3360989)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 2*j - 100 = 0. Calculate the least common multiple of 32 and j.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0148919nm in centimeters?\nAnswer: 0.00000000148919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 159*m + 161 + 169 + 75*m - 329 as g*m + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-7 + 101 + -14 - 1) - (-4 - -7).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t = -13*t - 2. Suppose -5*k - 6 = -t. Let s be 0 + (5 - 1)\/k. Sort 1, -5, s in descending order.\nAnswer: 1, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 4*y - 9 + 5, -3*d + 8 = 2*y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r**2 - r**2 - 4*r**2)*(-2*r - 4*r + 4*r) + 9*r**3 + 6*r**3 + 6*r**3 + 0*r**3 + 4*r**3 - 2*r**3 as g + l*r + p*r**2 + n*r**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2 - 2658*l - 2659 = 0.\nAnswer: -1, 2659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 123*h**3 - 4964508*h**2 + 14165955*h + 2179386 = 0?\nAnswer: -6\/41, 3, 40359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -14*y**2 + 2*y - 19. Let h(x) = 58*x**2 - 9*x + 74. Let q(a) = 6*h(a) + 26*s(a). What is the derivative of q(g) wrt g?\nAnswer: -32*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15721 - 15721 + 620*l**2)*(-2*l + 1 - 1) - 4*l**3 + 5*l**3 - 5*l**3 as r + p*l**2 + b*l**3 + i*l and give b.\nAnswer: -1244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c + 1. Let v be b(-11). Suppose v = -3*z + 224. Suppose -4*l + 49 = 3*i - 55, 4*l = 2*i - z. Solve f + 14 = 3*t, 5*t - 4*f = i - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -60\/23 (b) -4\/99 (c) 0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/3 and -4\/147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3\/7 - 2516*r**2\/7 - 58424*r.\nAnswer: 4*r*(r - 763)*(r + 134)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 2117, 9 in ascending order.\nAnswer: -37, 9, 2117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*w - 20*w + 99. Solve w*j + 1 = 16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 11 = 3*t, 4*t - 12 = 2*a - 20 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 927842329.\nAnswer: 927842329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h - 10. Let f(t) = -t**2 + 14*t - 43. Let o be f(7). Let d be ((-2)\/o)\/(34 + -35)*-12. Calculate m(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z = -5*p + 33*z + 29, 2*p = -4*z + 6. Solve 0 = -2*r + 4*v - 16, 0 = -p*r + 2*v - 12 - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h. Let k(r) = 153205*r. Determine n(k(f)).\nAnswer: -459615*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*r - 65*r - 61*r = -6286 - 7344 for r.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/4 - 63*g**2\/4 + 3*g\/4 + 63\/4.\nAnswer: -3*(g - 1)*(g + 1)*(g + 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -740*r**3 + 1482*r**3 - 7*r - 740*r**3 - r**4 - 2 to j*r**2 + b*r + o*r**3 + y + v*r**4 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1563 (base 13) to base 9\nAnswer: -4250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -35c87c (base 13) in base 8?\nAnswer: -4714627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -6*y - 16. Let r = 180 + -183. Let w be s(r). Suppose -3*p - p = 2*a - 20, 0 = 4*p + 3*a - 22. Sort p, w, 1.\nAnswer: 1, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-9))\/(3\/(-9))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 15\/9)*9. Is (-1)\/q + (-2968)\/(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/24 + 23\/4. Suppose b = 3*n + 4*k, 4*n - 7*k + 3*k = 16. Calculate the greatest common divisor of n and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2720 divided by -80?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15ac9dae + 0?\nAnswer: 15ac9dae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24214 + -1022?\nAnswer: 23142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196 divided by -7.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1913*g**4 - 1824 wrt g?\nAnswer: 7652*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1444659*l**3 - 466*l + 355 wrt l.\nAnswer: 8667954*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 2*t - 24, 4*t - 2 = 5*s + 28. Let o be (64\/(-24))\/(4\/s). Let j be (o\/(-10))\/(4\/(-20)). Solve f - 4*c = -19, -4*f - 3 = -c - j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**5*w*w)**19*(w\/w**(-3))**(-48) assuming w is positive.\nAnswer: w**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/5 + 94989746*k\/5 - 2255762961286129\/5 = 0.\nAnswer: 47494873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863682?\nAnswer: 2, 3, 143947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 124088 or 124093?\nAnswer: 124093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 3*v**2 + 148*v - 82. Let i be t(-14). What is the nearest to 0.1 in i, -0.4, 2\/9, 7\/31?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 0 - 3\/(-4) - 59306\/(-104)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 28\/9, 61 in decreasing order.\nAnswer: 61, 28\/9, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 435160 = 40*x + 14*x - 8*x. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.6 + -5. Let f = t + -4. Which is the closest to -2\/3? (a) f (b) 21 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*l + 3. Suppose 12 = 4*c, 9*f + 3*c + 111 = -3*f. Put l, f, -3 in increasing order.\nAnswer: f, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 89*v + 247*v - 83*v - 4*v**3 - 5*v**4 - 78*v + 2*v**2 to f*v + h + y*v**2 + n*v**4 + a*v**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -86 (b) 24\/5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-38)\/(-10))\/(4\/20). Let f = 25 - j. Suppose 3*v - 54006 = -2*h - 3*h, 0 = -3*v + f. What is h rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emae when four letters picked without replacement from eefammaammy.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-580)\/(-190) + (-7)\/133. Solve 2 = -w, 19*n + o*w + 31 = 14*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144153, -576890, -1298123, -2307852, -3606077?\nAnswer: -5192798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-y + 2*y + y) + (3 - 2 + 1)*(-4*y + 3*y + 10*y) + y + 4 - 4 - 2*y - 5*y + 23*y.\nAnswer: 37*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = r - 14. Let c be r\/(-1 - 3)*15. Is 15 a factor of (c\/4)\/((-6)\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84\/11 - -1352\/33. Let x be (-2638)\/84 + 9\/(-6). Let i = m + x. Sort 0.4, i, 5 in descending order.\nAnswer: 5, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 38 = -7*j. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1604*s - 2651 + 1849 = 2500 + 4718 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -4, 8\/865 in decreasing order.\nAnswer: 26, 8\/865, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.18 - 1.18. Which is the nearest to u? (a) 5 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115944.\nAnswer: 2, 3, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 365*c + 325*c - 352*c + (3*c + 2*c - 4*c)*(0 + 0 - 2) as w*c + j and give w.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1003 + -200?\nAnswer: -1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3bc48 (base 14) to base 7.\nAnswer: -1154021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4684 is divided by 1934?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - p**2 - 2*p + 4. Let a be i(5). Suppose -5*v + 171 + a = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/175, 3\/4, -2, 2\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 26\/(12 + -14)) + 7.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13494421 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404917?\nAnswer: 59, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + t - 2. Let u be y(2). Suppose -u*j = -0*j - 12. Suppose -5*v = 5*f - 365, -j*f + 373 = 2*v + 3*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1088, 1227, 1522, 2051, 2892?\nAnswer: 4123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38 + 80464\/2115 - 994\/90) + 1 + 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -8*m - 3. Let s(q) = -3*q - 1. Let p(u) = -7*s(u) + 2*t(u). Let b be (-5)\/(-10)*(-1 - 1). What is p(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2. Let o(z) = 673*z. Determine o(d(c)).\nAnswer: -1346*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**23\/x)\/(x*x**(-32)\/x) assuming x is positive.\nAnswer: x**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -589, -2 in increasing order.\nAnswer: -589, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29730368.\nAnswer: 2, 464537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -13*v**3 + 3*v - 2. Let t(m) = -m + 16. Let j be t(9). Let c(o) = 39*o**3 - 10*o + 7. Let h(l) = j*p(l) + 2*c(l). Determine h(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 49 - 17*z - 11834*z**2 + 11833*z**2.\nAnswer: -z**2 - 17*z - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 494 - 508. Let y = l - -24. Which is greater: y or -9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 31. Let c be 0 + 0 - ((-18)\/w + -8). Solve -4*t = -5*x - 35, 7 = 2*t + 3*x - c*x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(44)*4.\nAnswer: 2 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -350 + (3 + -8 - -1). Let s = i + 11329\/32. Does s = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/10*15\/2. Let r = b + 48. What is the greatest common factor of 28 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 1466 = -4*d, -4*f + 4*d = 9*d - 1954. Does 34 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -113, -226, -415, -680?\n\"Answer: -38*z**2 + z - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 2*w**2 - 2*w**2)*(0 - 4 - 1 + (-1 + 0 + 0)*(2 + 2 - 3) + 1 + 3 - 3).\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -5.01. Let r = m - 3.01. Let k = 0.2 + -0.1. Which is the nearest to -1? (a) 0 (b) r (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.92 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -16*g**3 - 14*g**2 - 10*g. Let u(a) = -a**3 - a**2 - a. Let r = -20 + 10. Let k(b) = r*u(b) + d(b). What is the third derivative of k(i) wrt i?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 38324.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 76852*s - 4764817. Determine b(62).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v**3 + 1213090*v**2 - 3*v - 29980059 with respect to v.\nAnswer: -6*v**2 + 2426180*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/4773020 and -101\/115360.\nAnswer: 38184160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(2736)*2 - ((-2*sqrt(304))**2 - sqrt(304))*6.\nAnswer: -7299 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 24 = -5*q. Let n = q + 10. Suppose 0 = -n*h - 3*x - 0*x + 28, 0 = 5*x. Calculate the smallest common multiple of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvkvojokkdodoookvvk. Give prob of picking 1 v and 1 j.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20*420\/4800)\/(5\/120*2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = -15*z + 20*z. Suppose 0 = z*y - 33*y - 470. Suppose 4*w = -5*i + 1193, -i - y = -4*w + 1069. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 568\/19? (a) -2\/5 (b) 2619 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 16*k**2 + 31*k + 41. Let i be b(-14). Sort 694, -3, i in decreasing order.\nAnswer: 694, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.01 - -13.6408346?\nAnswer: 15.6508346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12, 38, 64, 90?\n\"Answer: 26*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen fifths of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12349 (b) 5 (c) -872\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5902443 and 1136.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1440 and 142510226.448.\nAnswer: 142511666.448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(50)*-1 - sqrt(50)))\/(-3*sqrt(1440)).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 38\/154925275 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 1\/2 (c) 4 (d) -6 (e) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -7*r - 36*r + 506. Let c(k) be the second derivative of 5\/3*k**3 + 0 - r*k + 0*k**2 - 4\/3*k**4. What is the second derivative of c(n) wrt n?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 1.1 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120 + 2012223210233?\nAnswer: 2012223210113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100523622 divided by -1036326.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 0*h**2 + 0 - 5*h + 0*h**3 + 1\/12*h**4. Let n(s) = s + 0 + 0. What is i(n(l))?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 0*y = -4, 3 = -2*o + 7*y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*p = -44, 31*h - 26*h = -3*p + 118. Solve 0 = h*v + 45 - 19 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66637, 66845, 67193, 67681, 68309?\nAnswer: 69077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y, 5*v = 262*y - 264*y + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t - 10*t - 12088*t**3 + 12086*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2)\/(2\/12). Suppose -4*k + 7613 - 24819 = -q*g, 0 = 3*k + 5*g + 12890. Round k to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a76 (base 15) in base 3?\nAnswer: 10020110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 818, 510, -8, -736, -1674, -2822, -4180?\nAnswer: -5748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**1)**38*(l*l**2*l*l*l)**(-1\/14) assuming l is positive.\nAnswer: l**(529\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16326 - 16338. Let l = -9 - -13. What is the third biggest value in 0.5, i, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 3 = -13 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46601246.\nAnswer: 2, 31, 751633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 209 - -7. Let i be r\/32 - (-6)\/(-8). Solve 0 = -5*m + 4*m, 0 = -2*g + m - i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17919 and 495.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261678?\nAnswer: 2, 3, 43613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -13, -6, 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1967621 plus -155270?\nAnswer: -2122891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -q - 2*l, 5*q = -2*l + 545 - 15. Calculate the highest common factor of q and 572.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 4. Let d be (-80)\/(-7) + (-27)\/63. Suppose 5 - d = -2*t. Put t, m, 1 in decreasing order.\nAnswer: m, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 6*x - 1. Let b be d(-5). Sort b, 3, -4, 1 in increasing order.\nAnswer: -4, 1, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1720602, 1720628, 1720654, 1720680?\nAnswer: 1720706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 3*j, 3*u = u - 3*j - 10. Let g(a) = -2*a**2 - 2*a - 2. What is g(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 9*b**5 - 1725*b**4\/4 - 1195*b**3\/3 + 965*b**2\/2 + 390*b - 4065. Find u such that h(u) = 0.\nAnswer: -1, -1\/3, 2\/3, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)*2*-5)\/((2*sqrt(9))\/sqrt(3)).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 9. Determine p(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 305 in 1\/5, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4)*2\/(-3). Let p be (-4 - -3)\/(2\/4). Put p, i, 4 in descending order.\nAnswer: 4, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16500 - -8843. What is u rounded to the nearest one hundred?\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (20 - 7) + -19\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3645*t - 5*p = 3642*t + 14, 0 = -10*t + 2*p + 76 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1197, 1199, 1217, 1257, 1325, 1427?\nAnswer: 1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -118369, 4 in ascending order.\nAnswer: -118369, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76115 and 23420.\nAnswer: 304460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*j - 115 = 0. Suppose 5*u = 3*k - 209, 2*k - 4*u - 27 = j. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 + -55. Suppose -3*q - 13 = 2*p, i*q - 6*p + 4*p + 11 = 0. List the prime factors of 2\/(-6) + 0 + (-181)\/q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.508 to the nearest integer.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 + 3*x - 2. Suppose -2*v - 2*u = -0*u - 2, -u = -2*v - 13. What is the units digit of f(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-44)\/i**(7\/11))\/(i\/(i**(-2\/33)*i)*i\/(i*i**(4\/15)\/i)) assuming i is positive.\nAnswer: i**(-7496\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - v = -371, -5*k - 302 = v - 921. Suppose 4*a + 132769 = 5*z, -129*z - 3*a + 132797 = -k*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4) - (1 + 12\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4, 15, 74, 211, 456, 839, 1390?\n\"Answer: 5*g**3 - 6*g**2 - 6*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16\/5 (b) 0.5 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116, 0, -5, 5 in increasing order.\nAnswer: -5, 0, 5, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/281628 and -85\/130628454.\nAnswer: 783770724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**4\/72 + u**3 - 27*u**2 - 21*u + 2. Determine y, given that i(y) = 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -47*n - 2. Calculate g(1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/4)*r*((r*r**26)\/r)\/r assuming r is positive.\nAnswer: r**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2 - c. Let t(r) = 405 - 201 + 2*r**2 - 204 - 3*r**2. What is t(s(p))?\nAnswer: -9*p**4 + 6*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: Suppose 7*a + 20 = -22. Let j be 9\/a*(-2 + -4*6). Differentiate 38*n + j*n - 75*n + 2 with respect to n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -120119 at most 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3779 = -22*v + 26*v, 4*v - 2*p = 3782. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -183*h + 15. Let d be u(-1). Let l be 3\/(d\/4)*(-24 - -27). Which is the biggest value? (a) 0.005 (b) -0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13718417?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (11 - 8)\/((-3)\/(-57)). Let p = i + -137. Let w be (-304)\/p + 4\/(-5). Solve 3*t = w*l + 9, 4*t = 2*l - l + 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftsfffnstff. Give prob of sequence nst.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 99656 divided by -24914?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 2.3, -0.5, 82, 93?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*y = b + 20, 0 = -4*b - 2*y + 24. Suppose 7 = -b*d + 67. Suppose d = 2*g - 5. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1356136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) -3 (c) 79\/150674\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75735 divided by -1377.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -13. Let l = 5 - n. Suppose l*f + 4*f - 80 = 0. Does 20 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20214.93ml in litres?\nAnswer: 20.21493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, c: 3}. What is prob of picking 3 c and 1 i?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1941771 + -675876526?\nAnswer: -673934755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 61 = 4*j - 75, -a - 113 = -3*j. Let d be -3 + (-1 - 30*1). Let c = j + d. Solve 7 + 3 = c*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 - 2*a**2 + 2*a - 3. Let s = -16 - -8. Let u be s\/(-10)*(-5)\/(-2). Is x(u) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -4*y + 24, -1277 = -19*k - 5*y - 1419 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2272.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.016\nAnswer: -0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.148566673341 - -3\nAnswer: 2.851433326659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -15*a. Let b = -15 - -11. Let d be ((-2)\/b)\/((-10)\/4). Is a < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 h when three letters picked without replacement from {h: 6, l: 4, x: 2}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10997 + 11147 - (149 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87 + -19. Let o be 12\/4*q\/(-6). Differentiate 3 + o*j + 2*j**2 - 53*j with respect to j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - g - 1)*(g + 3*g - 5*g) - 11*g**2 + 2*g**2 + 5*g**2)*(1 + 0 - 3).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p. Let d(u) = u. Let z(c) = 2*a(c) + 5*d(c). Is z(13) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 1161468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -474220 (base 8) in base 11?\nAnswer: -100735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 282 + -282. Suppose f = 26*z - 37*z + 1562. Is z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19867427861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(12) - 1*sqrt(12))*2)\/((-2*sqrt(6) + sqrt(6))*-4 - sqrt(6) - sqrt(6)) + -5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from hhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 136325148.58 to the nearest one million.\nAnswer: 136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722*s**2\/3 - 76*s + 6 = 0 for s.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -1\/3 (b) -4 (c) 147\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m**2 + m - 9. Let c(d) = -d**2 - 3. Let i be 11 - (602\/(-172) - (-1)\/2). Calculate i*c(n) - 4*q(n).\nAnswer: 2*n**2 - 4*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -33. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-8)*(9 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000081 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**8\/336 - 167*p**7\/70 - 17*p**5\/60 + 5*p**3\/6 - 232*p**2. What is the third derivative of h(o) wrt o?\nAnswer: -60*o**2 - 12024*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 11*b**2 + b + 1. Let c(u) = -5*u**2. Let n(o) = 9*c(o) + 4*v(o). Let a(k) = 2*k**2 + 5*k - 19. Let y be a(-5). Determine n(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111 + 190. Let y = -35 + p. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-24))\/(11 - 9875\/900). Solve 8 = 2*c + 3*u, -2*u + 813 - 811 = f*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -59888030.\nAnswer: -59888030.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8.48 and -0.1324.\nAnswer: -8.6124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 290287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3 = l, 5*f + 13 + 4 = -4*l. Suppose -3*n = n - 20. Calculate the least common multiple of l and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 544 and 10?\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h**2 + 4*h**2 - 35*h - 3*h - 6 + 46 wrt h?\nAnswer: 4*h - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -2) + 8 + -13. Sort 2, u, 3 in increasing order.\nAnswer: u, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 1. Let d(i) = 13*i**2 - 16*i + 13. Let t(f) = -6*f**2 + 8*f - 6. Let u(h) = 2*d(h) + 5*t(h). Let j(w) = -4*r(w) + u(w). Factor j(a).\nAnswer: -4*a*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6830 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*c + 6 = -38*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 4*d + 2*m, 1764*d - 2*m = 1765*d - 8*m + 19 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b (base 15) in base 3?\nAnswer: -10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 6*n**2 + 4*n + 5. Let d = 11 - -8. Suppose -4*s = -4*p + 8, -s = -6*s + 2*p - d. Determine h(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433 is divided by 394.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4111616?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, q: 2, u: 1, d: 5, z: 1}. Give prob of picking 1 z, 1 q, and 1 m.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + -5*(-1*(-2 + 1 + sqrt(300))**2 - (((2 + sqrt(300) - sqrt(300))*6 + sqrt(300) - sqrt(300)) + 0)).\nAnswer: -100*sqrt(3) + 1563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 410074841 + -1791206913851\/4368. Let j = w - 3\/1456. What is the common denominator of j and -74\/39?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 5*v**2 + 5. Let m be i(-4). Let u(j) = -3*j**2 - 1. Let p(y) = 16*y**2 + 5. Let g(a) = m*u(a) - 2*p(a). What is the units digit of g(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 7 = 7*u. Let l(s) = 2*s**3 - 8*s**2 - 5*s + 14. What is l(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 1. Let m(b) = -3*b**2 + b + 1. Let w = -60 - -61. Let x(r) = w*z(r) - m(r). Factor x(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iaz when three letters picked without replacement from iiaizziiaa?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85 + 96. Calculate the remainder when 29 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 596*i - 19075. Determine r(32).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -315, -5, -1, 0 in descending order.\nAnswer: 0, -1, -5, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 823 and 7827553.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 12*g**2 - 14*g - 3. Let w be a(-13). Let 5\/2*j**5 + 0 + 10*j**2 - w*j**4 + 5*j**3 - 15\/2*j = 0. What is j?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 206*x + 3. Let s(b) = -b - 1. Calculate m(v) + 5*s(v).\nAnswer: -v**2 - 211*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 + 55. Is p bigger than 3\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 - 18*p - 2. Let d(j) = -3*j**2 + 18*j + 1. What is -5*d(z) - 4*l(z)?\nAnswer: -z**2 - 18*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 615.5 + -615.5. Sort -3\/5, 1\/2, 1\/4, -4, f in decreasing order.\nAnswer: 1\/2, 1\/4, f, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951 a factor of 23495902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -2\/33 (b) 10\/9 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74 - (38 + 19)) + 1 + -104 + 5?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**5 - 7142390*q**4 + 99992785*q**3 - 435681940*q**2 + 599955060*q - 257123520 = 0. Calculate q.\nAnswer: 1, 6, 1428464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 3*x + 14, 28*x = -5*y + 32*x + 41 - 24 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m - 50*m + 126*m + 3*m + 0*m - m + (2 - 2*m - 2)*(0 - 1 + 0).\nAnswer: 85*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, x: 4, k: 3, w: 2}. Give prob of sequence ek.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 18380\/69 = 267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f + 5*f + 10251 = 0. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-11)*1\/((980\/(-15))\/(-14))\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1803*j + 1808*j - 65. Put -5, 14, j in decreasing order.\nAnswer: 14, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - n - 2. Let w be h(4). Let c = 22 + w. Suppose c = x + 2*x. Solve x = b + 3 - 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 1\/3*j**3 + 0 + 0*j**2 - 3*j + 1\/4*j**4. Find the second derivative of r(a) wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by 3194236\nAnswer: -63\/3194236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -1220?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*y - 43 = -o - 99*y, -2*o - y = -34 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + p**2 - p + 1. Let a(w) = 19*w**6 - 3*w**4 - w**3 - 213*w**2 + w - 1. Let v(h) = a(h) + q(h). Find the third derivative of v(s) wrt s.\nAnswer: 2280*s**3 - 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17936\/(-708)*((-2 - 2) + 7)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (23 - (14 + -3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33045351 + 153?\nAnswer: 33045544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 271\/13 - (-8 + (-204)\/(-26)). Let p = 4 - x. Is p smaller than -65\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 + 757. Let o = v + -277. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 183, 217, 231, 219, 175, 93?\n\"Answer: -r**3 - 4*r**2 + 53*r + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j = 83 - 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7, -0.015, 3, 1\/30, -8?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7093, -3, 24265 in descending order.\nAnswer: 24265, -3, -7093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3102 - -5?\nAnswer: -3086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -101*d - 196. Let o(b) = -4*b - 25. Give j(o(m)).\nAnswer: 404*m + 2329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-47*2*1)\/(-2). Let x = h - 26. Let w be x\/(-9) + (-2)\/(-6). Let s(o) = -o - 3. Calculate s(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39495047?\nAnswer: 39495047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/5 + -1)*15. Let y = d + 20. What is the units digit of (-2*18)\/y*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 14 + 23 = -5*k, 40 = -5*h - 5*k. Let r(m) = -8*m. Suppose 2*d + 64 = -3*y - y, 5*y = -10. Let x(n) = n. Determine d*x(i) + h*r(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1300284 millimeters to micrometers.\nAnswer: 130.0284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69738 bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 17582, -5, -9\/8?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t**3 - t. Suppose 4*g - 1 = 3*m, 2*m - 4 = 4*m - g. Let s be 2 - (m - -1) - 3. Calculate c(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.85 + -216.85. Let o = 208 + w. Let v = -4\/49 - 115\/392. What is the third smallest value in 0.04, v, o?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31\/3 + 32\/3. Find m such that 0 - 1\/3*m**5 + 2\/3*m**3 + 0*m**2 - k*m + 0*m**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from pgw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -143600740?\nAnswer: 143600740.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 636 - -17?\nAnswer: 64d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 3:51 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.15 + 172.15. Let w = -167.86 + i. Do w and -9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a161 (base 14) to base 15.\nAnswer: 148e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -733900831933 - -401.\nAnswer: -733900831532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(156)*-3 + sqrt(156))\/(sqrt(1200) - (sqrt(1200)*1 + sqrt(1200))).\nAnswer: -7*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 18, 46, 90, 156, 250?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - ((-78942)\/(-48))\/(-59))*(-24)\/(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(2\/7)*s)**(-15\/8)*((s*s*s**3)\/s)\/s*s*s\/(s**(-5)\/s*s) assuming s is positive.\nAnswer: s**(215\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-6) + 1568\/12. Suppose c = -4*r + 148. Suppose -r*l = 3*h - 27, 0 = -3*l - 0*l + 4*h - 11. Let x(v) = 3*v + 3. Give x(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.449 - 1.449. What is the third smallest value in 5, y, 3, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 2 = -2*j + 3*z, -3*j - 2*z = -4. Suppose -2*s - j*g = -4, -s - 4*s + 4*g = -1. Is s > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 14) in base 12?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78*2\/(-824)*13540\/(-132015)?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**2 - 1912*x - 3808 = 0.\nAnswer: -476, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 18*i**2 + 3*i + 8. Suppose 3*x - 12 = 7*x + 2*z, -9 = 3*x + 3*z. Let n be d(x). Let l = n + -1781\/11. Is -2 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635264172?\nAnswer: 2, 3, 17646227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**3*s*s**2)\/(s*s*(s**(-1\/2)\/s)\/s)**(-34) assuming s is positive.\nAnswer: s**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/7 - 198*k**2\/7 + 2152*k\/7 + 4416.\nAnswer: 2*(k - 84)*(k - 23)*(k + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 7*r - 20 = 0, -981*x = -977*x + 329*r - 1268 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 8*d + 6. Let v be d\/11 - (-43999996)\/(-22). Round v to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1)*h)**16)**(3\/28)*(((h\/(h\/(h**(1\/2)*h*h)))\/h)\/(h\/(h**(2\/19)*h)))**(6\/37) assuming h is positive.\nAnswer: h**(26589\/4921)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 9. Let p be 7 + 9\/(-12)*z. Suppose 0 = -5*s + p - 0. Let x(f) = -f**3 + 2*f - 2. Calculate x(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j + 4 - 4 + (-6 + 5 + 2)*(1 + j - 1) + (19 + 6*j - 19)*(-1 + 5 - 2) + j - 2*j - 2*j - 1 + j + 1 to n + i*j and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/8 of a meter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*y - y - 3*y)*(2 - 2 + 7*y) - 1 + 1 + 9*y**2 - 4*y**2.\nAnswer: 54*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*n - 3*n - 5*z, 1 = 4*n - z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*j + 302 + 1199. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/(o**(-31)*o)))**(-2\/135)*(o**(1\/40))**(-19) assuming o is positive.\nAnswer: o**(-17\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 - 36*q**2 - 138*q - 8. Let k be h(-5). Solve 5*z = 3*d + 2 - 10, -5*z - k = 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 145*z**8\/168 + 3*z**4\/2 - 11*z**3\/6 - z**2 + 356*z. Find the second derivative of l(p) wrt p.\nAnswer: 5800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523996 is divided by 528.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -216? (a) 10 (b) 1.3 (c) 0.09 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.035 - -4.168. What is j rounded to 2 dps?\nAnswer: -4.87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (80 - -4)\/(-1)*6\/(-9). Let y = z - 56. Solve 4*w = -y*w - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*l**2 - 2 + 14*l**2 + 5*l**2 + 6*l**2 + (-2 + 2 + l)*(-6*l + 23*l + 14*l))*(2*l**2 - 2*l**2 - l**2).\nAnswer: -54*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -81*s + 94*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, u: 3, b: 5}. What is prob of picking 1 b and 1 f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227376 is divided by 158?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 3*d - 8419 + 8382, 0 = 2*w + 2*d + 18 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*l, -g + 6 = -0*l + l for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -7*u - 6. Let a(q) = 13*q + 11. Let v(j) = 4*a(j) + 7*m(j). What is v(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466 + 0 + (-23)\/(161\/14) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1457855.\nAnswer: 1\/1457855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x + 395. What are the prime factors of f(0)?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90 - -142. What is the highest common divisor of i and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4317.\nAnswer: 3, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 616456104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -461, -3051, -7359, -13385, -21129, -30591?\n\"Answer: -859*u**2 - 13*u + 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 605 - 607. Let m be 2\/(d\/5) + (-148626115)\/(-23). Round m to the nearest one hundred thousand.\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17\/430 or -1?\nAnswer: 17\/430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 50 + 33 = 5*i, 6*a = i + 25 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y**2. Let v(c) be the first derivative of c**2\/2 - 5*c + 4. Let n be v(8). Let w(h) = 4*h - 4*h - n*h + 4*h. Determine w(r(d)).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n. Let b(i) = 0*i**2 - 8*i**2 - 6*i**2 + 6*i**2. Calculate b(u(f)).\nAnswer: -128*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 147385846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 220, 349, 496, 667, 868?\nAnswer: 1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14434 and 2313564.\nAnswer: 16194948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2165690754?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 - -146)*2\/2. Let o = i + -1531\/11. What is the smallest value in 426, -3\/4, o?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*r - 17034, 4*d - 23521 = 3*r - 826. List the prime factors of d.\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/5)\/((-26)\/(-585)). Let r(z) = -27 - 5*z + s + 4*z. Let a(c) be the second derivative of c**3\/3 + c. What is a(r(v))?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1 + w**3 + 9 + 0 - 6*w + 6*w**2. Let n be u(-7). Suppose 0 = -h - g + 71, h - n*g - 59 = -g. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/10)\/((-210)\/100).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.434227 months in decades?\nAnswer: 0.070285225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3\/3 + 2*w**2\/3 + w\/3 - 2\/3 = 0. What is w?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 304 in -0.2, -5, -3\/329, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 329956151?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 - 11538046*m**3.\nAnswer: -11538046*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 0*z**2 - 3\/5*z**5 + 4 + 0*z**4 + 0*z - 2\/3*z**3. What is the third derivative of w(d) wrt d?\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hqqhg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/9, -0.5, -0.1, 0.5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-9) - 62\/(-6). Suppose 0 = -3*f + 4*s + z, 0 = 2*f + 2*s - 0*s - 12. Suppose 56 = -a + f*a. Calculate the remainder when 41 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*r**2 - 2*r**3 + 3*r**3 - 34*r**2.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**2 + t**2 + 4*t**2 + 1 - 1 - 2*t**2 + (1 - 1 + t**2)*(0 - 3 + 1))*(0*t - 2*t + 4*t).\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 10:04 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 5:11 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*y + 60*y - 2484. What is the remainder when y is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 28*c**2 + 1. Let x(k) = 130*k**3 - 111*k**2 - 4. Determine -4*q(a) - x(a).\nAnswer: -126*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23973 - 23873. What is the highest common divisor of 710 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23\/60 - 1429\/180. What is the common denominator of x and 47\/15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 19281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -26166 + 15\/((-120)\/32). What is h rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 4:44 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3873.081 centimeters in meters?\nAnswer: 38.73081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, d: 5, c: 5}. Give prob of sequence doo.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q - 3. Let p(v) = -11*v + 5. Let s be (-10)\/(-25) + 46\/10. Suppose -3*y - s*h + 29 = 0, y - 7 + 0 = -h. Let b = 53 + -48. Give b*z(w) + y*p(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11849250 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4) - (-8284)\/(-3800). Is -3 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - (-2)\/(-2)) + 0. Let q = -20 + 22. Suppose -3*z - m*d = -z - 2, -z = -q*d + 11. Let c(o) = -o**3 - 6*o**2 - 4*o - 2. Calculate c(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614 is divided by 373.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -1607*u - 24 - 1607*u + 3052*u. What is the thousands digit of s(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = f - 8*j + 3*j, f + 5 = -4*j. Let l be 1\/f + 392 + 1. Suppose 5*d + 224 = -3*b, 5*d - l = 3*b - 118. What is b rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -328 - -327. Which is the closest to f? (a) -14 (b) -0.3 (c) 0.4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 828 and 19906956.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qld when three letters picked without replacement from zzcoldoooloqcooolz?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 70 - (-672)\/(-16 + -12)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50807 >= 1168566\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 10*j**2 + 263*j - 14. Give l(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 10*v**2 + v**2 - 5*v**2 - 4*v**2. Let m(s) be the first derivative of -2*s**3 + 1. Give m(w(a)).\nAnswer: -24*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*t + 2*t, -3*t = -5*y + 11. Suppose 0 = -m + 5*c - 10*c + 31, m = 3*c - y. Solve 28 = -4*g - 4*w, 2*g + 0*w + m = -w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3 + 26*l - 11*l - 14*l. Let x(d) = 3*d - 10. Let c(y) = -y**2 - 2*y + 1. Let f be c(2). Determine f*i(r) + 2*x(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000285752 rounded to 5 dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d + 196. Give l(-19).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154802 divided by -986.\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1254 and 1331.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 4*m**2 - 2*m - 1. Suppose 3*f + 3 = 9. Is d(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 191560 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.43.\nAnswer: -1.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -23*w - 209. Let k be u(-9). Let a(q) = -16*q**3 - 2*q**2 - 2*q. Let j(f) = f**3 + f**2 + f. Give k*j(t) - a(t).\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 9*c + 19. Calculate o(16).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.4 (c) 187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 - (2 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020022210211 - -10?\nAnswer: -1020022210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (605\/(-50))\/(-1) + 121\/(-1210)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-147)\/14 + 1\/(-2). Let s = -1 - n. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.0224 - -16.1. Let y = f + 1.6874. What is y rounded to 1 dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1451411 (base 6) to base 12.\nAnswer: 40b67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4548562 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f + 10. Calculate the remainder when 27 is divided by r(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 945169 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvhvvvhv.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmjjjummjujuujuj. What is prob of picking 2 u?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y. Let p(i) = 4*i - 2. Let t(z) = -8*z + 5. Let o(h) = 5*p(h) + 2*t(h). Determine o(k(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 4498.\nAnswer: -2\/2249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 2*a = 22, 24 = 4*u + 37*a - 41*a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1053 (base 7) to base 9\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5578.289 - -5585. Which is bigger: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3\/2 + 2907*c**2\/2 - 336792*c + 4135950 = 0. What is c?\nAnswer: 13, 350, 606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -41192, -41190, -41188?\n\"Answer: 2*u - 41194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12030.\nAnswer: 2, 3, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 26\/(-130)*(-3 - -1). Sort 10, 2, p, -3\/4.\nAnswer: -3\/4, p, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4*i = 32, 0*i - 11 = 2*q - i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7*d - d**3 + 27*d**2 - 3 + 2 - 20*d**2 + 6. What is w(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19581710419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 122.373 and 5.\nAnswer: 127.373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*q + 16 = -47, 2*l + 4*q = 140. Let g be 25\/((-25)\/2) + l\/18. Let -4 - 2\/9*k**3 - 14\/3*k - g*k**2 = 0. Calculate k.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 9 (c) 6\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6456, -6464, -6470, -6474, -6476, -6476, -6474?\nAnswer: -6470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6264 and 5481.\nAnswer: 43848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3179 - h**3 - 3179 + 22*h**3.\nAnswer: 21*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1185\/45 - 13)*18\/70. Let 3\/7*s**2 + l*s - 27\/7 = 0. Calculate s.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-8)*-4)\/((-1)\/2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 60*a*o**2*s + a*s + 1488717*a + 62*o**3*s + 4*o**2*s wrt o?\nAnswer: 120*a*o*s + 186*o**2*s + 8*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.013, -8, -2\/7, 11, 1\/7, -1\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 756081512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 3*v**2 - v**2)*(3 + 5 - 1) + (5 + 2*v - 5)*(-v + 2*v + v) + 4 - 4 + 6*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88833704 and 58?\nAnswer: 2576177416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17272 - 9875. What is the remainder when o is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 22*g**3 + 53091*g**2 + 3 - 53090*g**2 in the form b*g + h*g**3 + i + r*g**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1288766 is divided by 121.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 150496640 divided by 70?\nAnswer: 2149952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8807277 is divided by 4403605.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.18487391.\nAnswer: 0.036974782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k - 46. Calculate the remainder when h(-37) is divided by 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 3. Let h be j(6). Suppose 0 = -3*r + 9 + h. Solve 11 = -r*i - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277*z = -286*z + 7641. List the prime factors of z.\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.09, -1\/2, 1, 84?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 4:48 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1476 - 556 = 115*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 102 = -29*k. What is the greatest common divisor of 13 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-9) - 22\/(-3). Let o(v) be the third derivative of -v**5\/60 + 5*v**4\/12 - 5*v**3\/3 - 4*v**2. Does 6 divide o(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 11*m = 53, 4*j + 609*m = 607*m - 18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 411823?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 489 + 131. List the prime factors of w.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1562 + 194*w**2 - 78*w + 56*w + 22*w - 619*w**2 with respect to w.\nAnswer: -850*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5244492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -210 - -180.2. Let k = -30 - n. Let a = k + 0.200007. Round a to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004589072 to six decimal places.\nAnswer: 0.004589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**4\/5 + 18*a**3 + 1716*a**2\/5 + 5688*a\/5 + 1056 = 0. Calculate a.\nAnswer: -10, -2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14467, 58058, 130759, 232570, 363491?\nAnswer: 523522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 5:24 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18020 or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3258916 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mammmeamaaaaaae. Give prob of sequence ma.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 - 93. Let j be (k\/4)\/(5\/40). Calculate the common denominator of 77\/24 and (-4)\/(-2) + j\/42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 3*j**2 + 2*j. Let o be q(-2). Suppose o = -5*g - 5. Let c(y) = -6*y**2 + y**2 - y**2 - 1 - y. What is c(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 452\/5 - 91. Is o greater than -31\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 2:41 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/8 + 30\/8. Suppose -x + r = x. Suppose 216 = 348*l - 336*l. What is the greatest common divisor of x and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6789 + -6784. Solve m = -5, -b*d + 5*m + 9 = 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6517 take away -443879971?\nAnswer: 443879969.3483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 14) to base 8.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1874*f**5 - 5708*f**3 - 27197851*f.\nAnswer: -37480*f**3 - 34248*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45 + 17*z - 64*z - 48 + 223*z - 161 wrt z?\nAnswer: 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1000)\/16)\/((-1)\/(-4)). Let q = -152 - r. Calculate the remainder when q is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*j + g - 13365 = 0, j + 2*g - 2682 = 0. Suppose -s + 4*y + 403 = 0, 5*y + j - 627 = 5*s. What is the smallest common multiple of 33 and s?\nAnswer: 4521","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19053 and 657.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2107 or 3960?\nAnswer: 2107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -86cab (base 13) in base 12?\nAnswer: -b913b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, 88, 216, 356, 508, 672?\nAnswer: 848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*p + 1140 = 39*p. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8d11 (base 16) to base 4\nAnswer: -20310101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-10))\/((-981)\/3270) + ((-272)\/(-28) - -1)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2914.5 + 2254. Let n = -660 - t. Which is the second smallest value? (a) n (b) -4 (c) 1\/3 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 divided by 126484.\nAnswer: -31\/63242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3287 is divided by 3282?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(30\/585)*(15\/9)\/((-90)\/108).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1092 and 1679412.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1068281*a**4 + 32*a**3 - 80107206?\nAnswer: -4273124*a**3 + 96*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-14))\/((-44)\/8)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**2 + 4*r - 2. Let v be f(-2). Let c(k) = -k**3 + 7*k**2 - 7*k + 8. Let s be c(6). What is the derivative of 2*q + 3*q + s - v*q wrt q?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 10451546.\nAnswer: 10451546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jycy when four letters picked without replacement from {j: 7, y: 2, c: 3, o: 5}.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/4 (b) 0.3 (c) 4 (d) -3 (e) 49 (f) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (217\/12)\/31*9\/42?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -3 + 9 - 2. Suppose l = 3*n - 7, 4*l - 1 + q = 0. Solve 0 = -2*f + 4 - n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -34067, -68131, -102195, -136259, -170323?\n\"Answer: -34064*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*y - 12, 0 = -y - d - 1 - 1. Solve 0 = -4*c - 2 - y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405*p**2 - 7 - 369*p**2 + 7.\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35971 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 2\/3 (b) 2\/471 (c) 3 (d) -0.4 (e) -4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 769*h**2. Let j(m) = -301454*m**2. Calculate j(i(l)).\nAnswer: -178268138894*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6132275 millilitres in litres?\nAnswer: 0.0006132275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 4*i + 3*i - 4*i + 7*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 6460326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - (3 - 10)) + 0 + (-4 - -7).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 - 3245*j**2 + 6505*j - 3255.\nAnswer: -5*(j - 1)**2*(j + 651)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**3 - 12*u**2 + 5*u - 17. Let j be n(4). Suppose 3*x - 2*r = 3163 - 938, j*r = -5*x + 3740. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 22*b - 2. List the prime factors of x(1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s**2 - 26*s + 83. Let p be y(15). Suppose -5*n + u = -5796, -2*n - 4*u + 1046 = -p. List the prime factors of n.\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 8*l + 4. Let q be h(8). Suppose -q*z = -18 - 18. Suppose -15*d + 7*d = 0. Solve -c + o - z = 5*o, d = 2*o + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 117, 175, 233, 291?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -206 divided by -719\nAnswer: 206\/719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1101001001010100100010 (base 2) to base 11\nAnswer: 1a44083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 11:27 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 4:45 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14639*a**4 + 20*a**3 + 472265.\nAnswer: -58556*a**3 + 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(170) - (sqrt(170)*3 + sqrt(170))))\/sqrt(10)*1.\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 10011?\nAnswer: -10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 6*o - 2. Let n(d) = d**2 - 3*d + 4. Let a be n(3). Suppose m - a*m - 39 = 0. Let l = -7 - m. Calculate y(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.331 - 0.431. Which is the nearest to -13? (a) r (b) 2\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1558? (a) 3\/8 (b) -0.5 (c) -3 (d) 165\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 237 + -233. Let t be ((-6)\/3)\/(1 - 5). What is the second smallest value in z, -0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 5*o**2 - 5*o. Let i be y(4). Let q = 0.1 + 0.9. Let m(d) = -330*d + 4624. Let w be m(14). Which is the nearest to q? (a) i (b) -1\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2 + (0 + 0 + 1)*(-5 + 2 + 1) + 5 - 1 - 2)*(-2*v + 2*v - 2*v**4) - 2*v**4 + 0*v**4 + 20*v**4.\nAnswer: 20*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42114435.4487 - 0.4.\nAnswer: 42114435.0487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 - -25. Suppose 319 = 7*n - 143. Let i = n + c. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 818366 divided by 74?\nAnswer: 11059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**5\/7 - 24*l**4 - 180*l**3\/7 + 344*l**2\/7 = 0. Calculate l.\nAnswer: -2, 0, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - 61*x - 113 + 54.\nAnswer: -61*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -197, 45, -5, 1.\nAnswer: -197, -5, -2, 1, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-10) + -2 + 44\/8. Let f = 6 - 8. Let v be 5 + 0 + (f - -1). Sort 5, k, v in ascending order.\nAnswer: k, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzxzzzxzgzzhzgszzz. What is prob of sequence xg?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 3*n. Let u(t) = -1 + t**2 + 1 + n. Let s(y) = -1 - 3*y + 1. Give s(u(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19195594 and 85580.\nAnswer: 191955940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17007 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -17. Let q be 7\/5 + (-4)\/10. Which is the third smallest value? (a) -0.2 (b) q (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5142 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 9. Let u = p - -10. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -12. Let q = -6 - l. Which is the nearest to q? (a) 1\/2 (b) -2\/9 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - h - 1 = 0, -27 + 2 = -c - 5*h. List the prime factors of (-1 + (-27)\/c)\/((-1)\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -13. Which is the nearest to 0.2? (a) -0.3 (b) 0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1601*z**5 - 246*z - 9?\nAnswer: 32020*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31\/63 - -5\/7. Let x = -17.69 + 18. Let w = x + -0.11. Which is the third smallest value? (a) y (b) w (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.84957 and 0.12.\nAnswer: 1.96957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 - 11*z - 5. Let s be m(12). Let q(b) = -1 + 153*b + 1 - s*b. Let v(d) = -28*d. Determine q(v(n)).\nAnswer: -56*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, k: 1, j: 1, z: 1}. Give prob of picking 1 z and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 4. Let s(g) = g**3 + 4*g**2 - 5*g - 14. Let m be s(-4). Calculate z(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1247 - 8731\/7. Let z = 0 + -0.3. What is the closest to 0 in t, z, 2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1088 - 747. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52318697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 + 6*j - 1. Let m(b) = -b**2 - 6*b + 3. Let q be m(-7). Let a(k) = -4*k**2 + 3*k + 1 - 4*k - 6*k. What is q*a(g) - 5*c(g)?\nAnswer: g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00173341703 rounded to 5 dps?\nAnswer: 0.00173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d - 11 - 304 = 11*d for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41161243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a + 0*a - 4*a. Let q(v) be the second derivative of v**4\/12 - v**2 + 4*v. Let m(t) be the first derivative of q(t). Give k(m(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 1521.\nAnswer: 16731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 3:18 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/2, 3, 0.5, 2, 32, 2\/17?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 289, 194, 99?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/287 and -20\/451.\nAnswer: 3157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3 + 2*o**2 + o**2 + 6*o - 2*o**2. Let y be t(-3). Is 36 a factor of 1400\/12 + (-4)\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a millimeter in micrometers?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 45797800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 10*n - 101. Give f(13).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*r = -3*r - 134, 3*f - 5*r = 201. Let p be (2 + 1)\/((-6)\/(-4)). Suppose -p*l + f = 5*g, l - g + 0*g - 37 = 0. Does 18 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -614113 (base 12) to base 6.\nAnswer: -52332423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 427062325, 427062326, 427062327?\n\"Answer: z + 427062324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in four fifteenths of a minute?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365*a**2 + 213*a**2 - 31*a**2.\nAnswer: 547*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 5294106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1117, -1539, -2243, -3229, -4497?\nAnswer: -6047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 3*u - 1. Suppose 11 = -4*c + 35. What is the units digit of k(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92 + ((-49050)\/1755 - 64).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 210\/(-20) - 1\/(-2). Let l(v) = -v**2 - 9*v - 5. Let h be l(p). Let q = h - -15. Solve 5*r + 2*a + 25 = -q*a, 4*a = -r - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6149 and -5\/717 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9300414 divided by -6\nAnswer: -1550069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3820.9 - -3821. Which is the closest to 1\/3? (a) -0.5 (b) 4 (c) m (d) 73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/150*5 + (-2523)\/145?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x. Let b(g) = -95970243*g. Determine f(b(k)).\nAnswer: 479851215*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39778 or 42853?\nAnswer: 39778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 1986.2?\nAnswer: 1987.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -5\/2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3654699 kilograms to grams.\nAnswer: 365.4699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/12)\/(180\/108))\/(((-7056)\/(-525))\/(-8))?\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-21.7541.\nAnswer: -4.35082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117392 - -351041. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -7 + 1. Let f = z - -1. Suppose 4*p - 116 = -6*n + n, -4*p = -f*n + 44. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 bigger than 254.85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.28 - 0.02. Let a be (10\/6)\/((-2)\/(-6)). Let w(o) = 31*o - 744. Let y be w(24). What is the nearest to y in r, a, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 285 and 180.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45052631 and 91?\nAnswer: 315368417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x. Let s(c) = -5*c**2 + 6*c**2 - 5*c**2 + 5*c + 2*c**2 + 0*c**2. Calculate f(s(k)).\nAnswer: -10*k**2 + 25*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19005 and 26050425?\nAnswer: 2715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114380 is divided by 37968.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 46. Let f = -97 + 45. Let a = 112 + f. What is the highest common divisor of a and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1334 (b) -1.2 (c) 2 (d) -0.5 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1506 - 1219. Calculate the remainder when b is divided by 33.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6758\/64909 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 - t + 2 - 11*t**4 + 9*t**4 + 3*t**4 + t**3 in the form v*t**2 + b*t**3 + k*t + q + u*t**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 426324 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + d + 209 = 3*j, 0 = j - 3*d - 53. What is the remainder when 158 is divided by j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1743210 is divided by 981?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13\/((-1053)\/(-261)) + (-4)\/18. Solve 24*f - w = 23*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10 and 2.25403569.\nAnswer: -7.74596431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 2*d. Suppose d*h + 22 = h. Calculate the lowest common multiple of h and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 2002?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46730, 186938, 420626, 747794, 1168442, 1682570, 2290178?\nAnswer: 2991266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-4))\/(6669\/702))\/(-1).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - -4)*(-2)\/2*-1159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -168.51*-217\nAnswer: 36566.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + -2 - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3049 - -1000?\nAnswer: -2049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-8*(-11)\/88)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*n + z, z = 5*n - z - 11. Suppose -n*y - 2*y = -25. Suppose -3*k = -5*t + 30, -2*t - 2*k + 2 = 6. Calculate the remainder when y is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(20\/(-12)) + 6\/(-2). Let b(g) = -2*g. Let s be b(-2). Suppose u = -s*c + 13 + 3. Let n(d) = -d + 4. Give n(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.97 - -0.9. Let z = 2303.87 + -2294. Let b = t + z. Round b to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 13, j: 2, x: 3, a: 1}. What is prob of picking 1 x and 2 v?\nAnswer: 78\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -151, 1, -9\/7, 0 in decreasing order.\nAnswer: 1, 0, -9\/7, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 32. Solve -h = -p*h - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v + 13. Let g be -1 + 1 - (0 + -24). Suppose 5*a = a - g. Let y be s(a). Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.3, 1115\/6, -4 in descending order.\nAnswer: 1115\/6, -0.3, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7301 - 7298. Solve -5*g - 45 = 5*x, -5*g + 0*g - 13 = -i*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2586665 a multiple of 752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*o - 103 + 33 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.631 - -0.081. Let c = k + 3.55. What is the closest to -0.1 in -4, -2.1, c?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*u**(-3))\/(u**0)**(-2\/39) assuming u is positive.\nAnswer: u**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -15 times -6312591\nAnswer: 94688865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/5)*r*r*r\/(r*r**(-2))*(r*r**(-5))\/r**(1\/4) assuming r is positive.\nAnswer: r**(-13\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35098892 + 35098741.00063. Let b = g - -151. What is b rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 11*h + 2. Let k be x(11). Let i(v) = k - 4 + 2 - 12*v**2. Let l(o) = 2*o. Give l(i(m)).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 1943 - 18860 = 5*a, -5*a = 3*k - 12644. Suppose -k + 399 = -4*i. Is (7 - 4) + i - 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 85.49506ml?\nAnswer: 0.08549506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0.1, -5, 2.3, 0.121.\nAnswer: -5, -1\/6, 0.1, 0.121, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1808 is divided by 345?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -4*a - 5*p + 10*p, -74 = -4*a + 2*p. Let u(n) = -a + n + 29 - 12. Let m(b) = 3. Give -m(v) + 2*u(v).\nAnswer: 2*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from qlkee.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.11 (b) 2\/11 (c) 1 (d) -1 (e) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 304*l + 114642. What is n(-377)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((o + 2 - 2)*(-2 + 3 + 0) + (-2*o - 2*o + 2*o)*(2 + 2 - 2))*(2*o**3 + 3*o**3 - 4*o**3).\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -158*t**3\/3 - 74. Let c(k) = k. Give i(c(p)).\nAnswer: -158*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63301823 + 41368823. Round b to the nearest one hundred thousand.\nAnswer: -21900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -1) + (63 - 72) + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -2*m**6\/3 - 1752*m**5\/5 - 47961*m**4 + 2580. Factor q(y).\nAnswer: -4*y**3*(y + 219)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*g + v, 3*v - v - 64 = -137 + 73 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x + 7. Let o(n) = 4*n + 6. What is -7*o(i) + 6*q(i)?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 5 - 2)*(11*p - 11*p - 7*p**2) + 2*p**2 - 3*p**2 + 2*p**2 in the form d*p + w*p**2 + q and give w.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 568237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/1 - (-82)\/24 and (6\/(-4))\/(1 - 11)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n - 196 = -25*n. Is 11 a factor of (-136)\/(-6)*n + (-5)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -72\/11, 2, -3, 12\/7, 4 in ascending order.\nAnswer: -72\/11, -5, -3, 12\/7, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**4\/4 + t**3\/6 - t**2. Suppose 0 = -3*o - 13 + 7. Let i be (2\/(-4))\/(1\/o). Calculate a(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129 a factor of 72560830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w = -0*w + 4*w - 83*w - 3290 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014147 rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1738575, -3477127, -5215667, -6954189, -8692687, -10431155, -12169587?\nAnswer: -13907977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*b - 86*b = -205. Let u = 60 + b. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 686\/9, 2 in descending order.\nAnswer: 686\/9, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (1 - 2) + 53206. Suppose -4*n - 2*b - y = 0, 5*b = 3 - 18. Round n to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 12*j**3 - j**2 + j - 24. What is s(3)?\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-225)\/(-90))\/(-5*1\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -238*j. Let t(n) = -3*n - 2. Let s(l) = -13*l - 6. Let p(d) = -s(d) + 3*t(d). Calculate p(a(c)).\nAnswer: -952*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (46230\/(-1340))\/(4\/18 - (-30)\/108)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*j - 52 + 9 = 128 + 108 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -dea4 (base 16) to base 4\nAnswer: -31322210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2700368?\nAnswer: 2, 11, 67, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 1 - 6 + 3. Let n be b(7). Factor 0*d**3 + 0*d + 3\/2*d**4 + 0 + 1\/2*d**n - 2*d**2.\nAnswer: d**2*(d - 1)*(d + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlq when three letters picked without replacement from {l: 3, q: 4, z: 4, x: 5, k: 3}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -136, -136, -128, -106, -64, 4, 104?\n\"Answer: i**3 - 2*i**2 - i - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10 + 7 - (0 - 9). List the prime factors of -2*(-2 - 15\/d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 660*b**3 - 226*b**3 - 431*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + 158. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m + 111*m**2 + 106*m**2 - 7*m**2 to the form q + o*m + y*m**2 and give y.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/5415 and -137\/3336.\nAnswer: 6021480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/8)\/(8\/(-80))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1214599?\nAnswer: 17, 37, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + 3 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s = 48*s + 557 - 117 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-36)\/54 - -1) + (-10)\/(-6). Suppose 0 = 2*a + s - 34 + 1, 0 = a - 5*s - 44. Sort 1, i, a, 5 in decreasing order.\nAnswer: a, 5, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by (-24 - -12)*(-8)\/((-112)\/(-63)).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*8\/14)\/(2394\/1862)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001288 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -183*v**3 + 1393*v**2 - 11*v**5 + 189*v**3 + 41*v**5 wrt v?\nAnswer: 1800*v**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y. Let u be n(0). Let x = 16795 + -16790. Suppose -x*b + 294 + 756 = u. What are the prime factors of b?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -114*w**3 - 136*w**2?\nAnswer: -684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766491462 a multiple of 1321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmq when three letters picked without replacement from {q: 7, m: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -120 and 2.41?\nAnswer: 122.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -z**5 - 4087*z**4 - 96613*z wrt z?\nAnswer: -20*z**3 - 49044*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83 + 170. Let u = w + -111. Put u, -4, -5 in ascending order.\nAnswer: u, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 4*t = s - 138066, 2*t - 55228 = 2*s. Let w = 938663\/34 + s. Calculate the common denominator of 115\/18 and w.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/22)\/(o*((o*o**(-26))\/o*o)\/o))**(12\/11))**(-1\/7) assuming o is positive.\nAnswer: o**(-3282\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -11*w**6\/360 - 9*w**4\/4 + 2*w**2 + 4*w. Let f(k) be the second derivative of c(k). Let h(o) = -4*o. What is h(f(z))?\nAnswer: 88*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36.8 and 178?\nAnswer: -6550.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**4 + 147406*p**2 + 2*p**3 + 0*p**3 - 147176*p**2 + 1 to the form y*p + q*p**4 + m*p**2 + c + t*p**3 and give m.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-2)*-4*(-4158)\/(-49896).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 10:41 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*r**3 - r + r**4 - 8*r**3 - 7*r**3 to the form q*r + w + s*r**3 + j*r**2 + m*r**4 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-12))\/(19*36\/46512).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75272, 296783, 665968, 1182827, 1847360?\nAnswer: 2659567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97158*p**6 - 2*p**4 - p**3 - 2107497*p**2 wrt p?\nAnswer: 11658960*p**3 - 48*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -78.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(567)*-1 - sqrt(567))*4 + sqrt(847) + 0 + sqrt(63)*4.\nAnswer: -49*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 4*c - 7579, 4*d - d + 4573 = -4*c. Let v = d + 2384. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1149?\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k - 3. Let j(b) = 56*b - 34. Let z = -47 + 53. Calculate z*j(a) - 68*o(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 = -41*o - 41 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.3, 15\/7, 0.4, 8 in increasing order.\nAnswer: -2, -0.3, 0.4, 15\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 10:25 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -0.5, 81, 5\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 22*x**2 - 24*x - 234. Calculate a(-24).\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaaaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -101820, -203653, -305474, -407277, -509056, -610805?\n\"Answer: g**3 - 101840*g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8373687 and 499002.\nAnswer: 8872689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5019745 by 22.\nAnswer: 5019745\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -12*o**2 + 14*o + 84. Determine p(-5).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -268 or 6156955?\nAnswer: 6156955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -0.1, 4, 1.3, 1.853?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - -15 - (-31 + 22). Solve -b = 19*c - 31*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -189949.2839 + 189970. Let l = 0.0161 - v. What is l rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.27 - -0.116. Let p = f - 0.67. What is p rounded to two decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6737*v - 45346 - 48091 = 41303 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13742 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 21823*r - r**2 - 2 + 1 - 21751*r in the form h*r**2 + l + k*r and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 5:22 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -25*k - 165 + 165 + 16*k + 7*k. Let j(d) be the first derivative of 25\/2*d**2 + 0*d - 1. What is j(w(b))?\nAnswer: -50*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25377599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((2\/(-6))\/(1\/2)). Let f(q) = q**2 + 2*q + 2. Let r be f(-2). Let k(l) = 2*l**2 - l - 1. Let b be k(1). Solve r*v + 1 + o = b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s - 18*s - 78 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3 - 2*c**2 - 1922*c + 1922 = 0. Calculate c.\nAnswer: -31, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0449 (b) -2 (c) -1 (d) -2452\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.06 + -0.06. Let k = g + -10. Sort k, -1, -2 in ascending order.\nAnswer: -2, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -554435103?\nAnswer: 554435103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 4*o + 115 - 475, h = 5*o - 90. Let j = h + 89. Sort -3, -5, -11, j in decreasing order.\nAnswer: j, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a decade in years?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 591361841*h**5 + 291538302*h wrt h.\nAnswer: 11827236820*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 2*p - 3*p - 12*h + 12, 5*p = 37*h - 143 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 1\/379, 3, -10, -1.6?\nAnswer: 1\/379","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 853 to the nearest 10.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3 + (-6)\/(-3))*(-112422)\/(-2285).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 12:08 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c + 40*c + 47*c - 8 - 7*c.\nAnswer: 96*c - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -1. Let m = -866 - -866. Let t = m - a. Is -9 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.544, -3, -5?\nAnswer: 0.544","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1395 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 12:18 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.30572 to three decimal places.\nAnswer: 0.306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 <= -971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from amuuma.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*a + 4. Let h be 3*(a\/(-2))\/(-3). Suppose d + v + 2 = 0, d + h*d - 4*v - 32 = 0. What is the remainder when d is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1\/3, -1\/4, 200, 2, -2.7, -2\/3, 0.01?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -1. Let d = 8 - t. Let g = d + -2.99999943. What is g rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from prihpkk.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -24269?\nAnswer: -1\/24269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 18107*s**2 - 22*s - 2. What is the tens digit of m(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**10\/f)\/f)\/f**7*f**(-12)\/f**(2\/117) assuming f is positive.\nAnswer: f**(-1289\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 - 72*d + 114. What is x(40)?\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 8*p - 5. What is the remainder when -7 - (4 + -1 - (-26 - -75)) is divided by g(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 14*q - 855. Let j be a(23). Let v(i) = i**3 + 6*i**2 + 9*i + 1. Give v(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1958, 1959, 1960, 1961, 1962?\nAnswer: 1963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - ((3 - (-2 + 6)) + 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/48*1\/(-2). Let y = -0.03 - 0.27. Let p = -21\/2 + 11. Which is the smallest value? (a) p (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70612592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3364, 6676, 9986, 13294, 16600, 19904, 23206?\n\"Answer: -c**2 + 3315*c + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 881531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34154837 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, i: 11, s: 1}. What is prob of picking 2 i, 1 p, and 1 s?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -31.0946, -14, -1?\nAnswer: -31.0946","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 0. Which is the nearest to -2\/3? (a) f (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 14\/187?\nAnswer: 14\/187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.23 + -1.683. Let k = -67.703 - c. Let f = -65 - k. Round f to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 m, and 1 y when three letters picked without replacement from immimmkimy?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + x. Let p(z) = -5*z**2 - z + 1. Let m(o) = -18*o**2 - 7*o + 5. Let r(d) = m(d) - 3*p(d). Give r(b) - 5*v(b).\nAnswer: 2*b**2 - 9*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -96 - -156. Factor 26*a**2 + 16*a**4 - 12*a**3 + 8*a + 10*a**2 + m*a**3.\nAnswer: 4*a*(a + 2)*(2*a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002057251087 to seven decimal places.\nAnswer: 0.0002057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 99995 in -1, 0.4, 97, -2\/9?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 23 = 5*o - 6*o, 0 = 5*j - 4*o + 26. Suppose 5*y = -4*d + 21, -4*y - d - 3*d + 16 = 0. Let q(k) = -5 + 5 + k**3 - 6*k + y*k**2. Calculate q(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + h = 3*f - 21, -3*f + 5*h = 6. Let t(p) be the third derivative of 0 + 1\/36*p**4 - 5*p**2 + 0*p + 0*p**f - 1\/90*p**5. Solve t(b) = 0 for b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 8:39 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 4*z + 9. Suppose 3*w + 5 = x, 0 = w - 0*w. Let k be n(x). Let p(j) = j**3 - 4*j**2 + 5. Determine p(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (1 + (6 - 2)). Let r = -68 + 87. Suppose 3*p = -u + r, 3*p - 4*p = -2*u + 3. Put p, z, 3 in increasing order.\nAnswer: z, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -728, 1, 0.1, -2\/3.\nAnswer: -728, -2\/3, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5752 + 5755. What is the closest to -122 in -1\/5, 0, n?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 7*n - 30. Let w be 423\/n - 2\/4. What is the remainder when -5 - w\/(-15) - 362\/(-6) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10009 + -880767\/88. Calculate the common denominator of d and 19\/80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.17 in -0.2, 3, -0.092?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -198 - -198.74. What is the second smallest value in w, 0.4, 1\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/140, -1, 0.1 in descending order.\nAnswer: 0.1, -3\/140, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -226222.276214?\nAnswer: -226221.976214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*y + 1217, j - 4*y + 0*y - 429 = 0. Let w = -50 + j. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*y - 40*y - 64 = 0 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2860683825?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127605?\nAnswer: 3, 5, 47, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**3 - 5*c + 6*c + 10*c to x*c**2 + i*c**3 + g*c + u and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q + 0*q - 3*q)*(-1 + 2 + 1) - 23 + 23 - 50*q as b*q + k and give b.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56 + 8 + 33 + 75 + -8?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.811 + -12.9. Let p = -22.311 + g. Round p to 0 dps.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -1, -0.1, 22.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -9*t**5\/20 - t**3\/6 - 215*t**2\/2 - t - 4. What is the derivative of z(x) wrt x?\nAnswer: -27*x**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 553 and 0.19.\nAnswer: 105.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*b + 8*b**3 + 17*b + (1 - 2*b**2 - 1)*(b - 2*b - b))*((6 - 6 + 4)*(3 + 0 + 1) + 1 - 1 - 45) to q*b**3 + j*b + u + c*b**2 and give q.\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*m = -4*i - 8, -4*i = 2*m + 8. Let w = -266\/345 - 2\/69. Is m not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**5\/3 - 1180*s**4\/3 - 701398*s**3\/3 - 104909584*s**2\/3 - 4910207104*s\/3 + 5015819264\/3 = 0. What is s?\nAnswer: -136, 1, 997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**4 + 1 + 13*j**2 - 13*j**3 - j - 2*j - 10*j**2 - j**3 as b*j**3 + x + w*j + p*j**2 + h*j**4 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i**(-1\/9)\/i)*i*i*i**14)\/((i*i\/(i\/(i**(-3\/4)*i)))\/i*((i*i**(4\/15))\/i)\/i*i) assuming i is positive.\nAnswer: i**(3347\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 3 + 2)*(l**4 - 4*l**4 + 7*l**4) + (2*l**3 - 6*l**3 + l**3)*(-6*l + 2*l - 2*l) to the form w*l + z*l**2 + o*l**3 + v*l**4 + m and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -23 + -9 + 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 152227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15439?\nAnswer: 15439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -753, -1511, -2303, -3147, -4061, -5063, -6171, -7403?\n\"Answer: -3*f**3 + f**2 - 740*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -1095?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 1)*(-27*b**2 - 106993*b + 106923*b + b**2) in the form a*b**2 + y + f*b and give f.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1493*n**2 - 2452*n**2 + 791*n**2.\nAnswer: -168*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -116669040 to the nearest 100000.\nAnswer: -116700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 75 - 75.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 121689205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24129535 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}